Grade Four Mathematics   (#5012060)

Version for Academic Year:

Course Standards

General Course Information and Notes

Version Description

The benchmarks in this course are mastery goals that students are expected to attain by the end of the year. To build mastery, students will continue to review and apply earlier grade-level benchmarks and expectations.

General Notes

In grade 4, instructional time will emphasize four areas: (1) extending understanding of multi-digit multiplication and division; (2) developing the relationship between fractions and decimals and beginning operations with both; (3) classifying and measuring angles and (4) developing an understanding for interpreting data to include mode, median and range.

Curricular content for all subjects must integrate critical-thinking, problem-solving, and workforce-literacy skills; communication, reading, and writing skills; mathematics skills; collaboration skills; contextual and applied-learning skills; technology-literacy skills; information and media-literacy skills; and civic-engagement skills.

English Language Development ELD Standards Special Notes Section:
Teachers are required to provide listening, speaking, reading and writing instruction that allows English language learners (ELL) to communicate information, ideas and concepts for academic success in the content area of Mathematics. For the given level of English language proficiency and with visual, graphic, or interactive support, students will interact with grade level words, expressions, sentences and discourse to process or produce language necessary for academic success. The ELD standard should specify a relevant content area concept or topic of study chosen by curriculum developers and teachers which maximizes an ELL’s need for communication and social skills. To access an ELL supporting document which delineates performance definitions and descriptors, please click on the following link:
https://cpalmsmediaprod.blob.core.windows.net/uploads/docs/standards/eld/ma.pdf

General Information

Course Number: 5012060
Course Path:
Abbreviated Title: GRADE FOUR MATH
Course Length: Year (Y)
Course Type: Core Academic Course
Course Level: 2
Course Status: State Board Approved

Educator Certifications

One of these educator certification options is required to teach this course.

State Adopted Instructional Materials

The following instructional materials have been adopted by the State of Florida as an option for this course.
enVision Florida B.E.S.T. Mathematics Grade 4
Author: R. Charles, et al - Company: Savvas Learning Company LLC, formerly known as Pearson K12 Learning LLC. - Edition: 1 - Copyright: 2023
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Florida Reveal Math, Grade 4
Author: Linda Gojak, M.Ed.; Annie Fetter, B.A.; Susie Katt, Ed.D.; Georgina Rivera, M.Ed.; John SanGiovanni, M.Ed.; Raj Shah, Ph.D.; Nicki Newton, Ed.D.; Cheryl Tobey M.Ed.; Ralph Connelly, Ph.D.; Ruth Harbin Miles, Ed.S.; Jeff Shih, Ph.D.; Dinah Zike, M.Ed.; Sharon Griffin, Ph.D. - Company: McGraw Hill LLC - Edition: 1 - Copyright: 2023
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Florida's B.E.S.T. Standards for MATH Grade 4
Author: Ron Larson and Laurie Boswell - Company: Big Ideas Learning, LLC - Edition: 1 - Copyright: 2023
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HMH Florida's B.E.S.T. Go Math!
Author: Edward B. Burger, PhD; Juli K. Dixon, PhD; Thomasenia Lott Adams, PhD; Matthew R. Larson, PhD - Company: Houghton Mifflin Harcourt - Edition: N/A - Copyright: 2023
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STEMscopes Florida Math
Author: Dr. Jarrett Reid Whitaker - Company: Accelerate Learning - Edition: First Edition - Copyright: 2022
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Student Resources

Vetted resources students can use to learn the concepts and skills in this course.

Original Student Tutorials

Think Different: Relationships in Math:

Learn how to think differently to see if an equation is true or false, without even having to do the given math problem in this interactive tutorial on addition and subtraction relationships.

Type: Original Student Tutorial

Risky Betting: Analyzing a Universal Theme (Part Three):

Dive deeper into the famous short story “The Bet” by Anton Chekhov and explore the impact of a fifteen-year bet made between a lawyer and a banker. 

In Part Three, you’ll learn about universal themes and explain how a specific universal theme is developed throughout “The Bet.”

Make sure to complete the first two parts in the series before beginning Part three. Click HERE to view Part One. Click HERE to view Part Two.

Type: Original Student Tutorial

Analyzing an Author’s Use of Juxtaposition in Jane Eyre (Part Two):

In Part Two of this two-part series, you'll continue to explore excerpts from the Romantic novel Jane Eyre by Charlotte Brontë. In this tutorial, you'll examine the author's use of juxtaposition, which is a technique of putting two or more elements side by side to invite comparison or contrast. By the end of this tutorial, you should be able to explain how the author’s use of juxtaposition in excerpts from the first two chapters of Jane Eyre defines Jane’s perspective regarding her treatment in the Reed household.

Make sure to complete Part One before beginning Part Two. Click HERE to view Part One. 

Type: Original Student Tutorial

Identifying Rhetorical Appeals in "Eulogy of the Dog" (Part Two):

Continue to study George Vest's "Eulogy of the Dog" speech and his use of rhetorical appeals. In Part Two of this two-part series, you'll identify his use of ethos and pathos throughout his speech.

Make sure to complete Part One before beginning Part Two. Click HERE to launch Part One.

Type: Original Student Tutorial

Identifying Rhetorical Appeals in "Eulogy of the Dog" (Part One):

Read George Vest's "Eulogy of the Dog" speech in this two-part interactive tutorial. In this series, you'll identify and examine Vest's use of ethos, pathos, and logos in his speech. In Part One, you'll identify Vest's use of logos in the first part of his speech. In Part Two, you'll identify his use of ethos and pathos throughout his speech. 

Make sure to complete both part of this series! Click HERE to launch Part Two.

Type: Original Student Tutorial

That's So Epic: How Epic Similes Contribute to Mood (Part Two):

Continue to study epic similes in excerpts from The Iliad in Part Two of this two-part series. In Part Two, you'll learn about mood and how the language of an epic simile produces a specified mood in excerpts from The Iliad.

Make sure to complete Part One before beginning Part Two. Click HERE to view "That's So Epic: How Epic Similes Contribute to Mood (Part One)."

Type: Original Student Tutorial

That's So Epic: How Epic Similes Contribute to Mood (Part One):

Learn about how epic similes create mood in a text, specifically in excerpts from The Iliad, in this two-part series.

In Part One, you'll define epic simile, identify epic similes based on defined characteristics, and explain the comparison created in an epic simile.

In Part Two, you'll learn about mood and how the language of an epic simile produces a specified mood in excerpts from The Iliad. Make sure to complete both parts!

Click HERE to view "That's So Epic: How Epic Similes Contribute to Mood (Part Two)." 

Type: Original Student Tutorial

Risky Betting: Text Evidence and Inferences (Part Two):

Type: Original Student Tutorial

Risky Betting: Text Evidence and Inferences (Part One):

Read the famous short story “The Bet” by Anton Chekhov and explore the impact of a fifteen-year bet made between a lawyer and a banker in this three-part tutorial series.

In Part One, you’ll cite textual evidence that supports an analysis of what the text states explicitly, or directly, and make inferences and support them with textual evidence. By the end of Part One, you should be able to make three inferences about how the bet has transformed the lawyer by the middle of the story and support your inferences with textual evidence.

Make sure to complete all three parts!

Click HERE to launch "Risky Betting: Text Evidence and Inferences (Part Two)."

Click HERE to launch "Risky Betting: Analyzing a Universal Theme (Part Three)." 

Type: Original Student Tutorial

Analyzing Sound in Poe's "The Raven" :

Identify rhyme, alliteration, and repetition in Edgar Allan Poe's "The Raven" and analyze how he used these sound devices to affect the poem in this interactive tutorial.

Type: Original Student Tutorial

In the Driver's Seat: Character Interactions in Little Women:

Study excerpts from the classic American novel Little Women by Louisa May Alcott in this interactive English Language Arts tutorial. Using excerpts from chapter eight of Little Women, you'll identify key characters and their actions. You'll also explain how interactions between characters contributes to the development of the plot. 

Type: Original Student Tutorial

What it Means to Give a Gift: How Allusions Contribute to Meaning in "The Gift of the Magi":

Examine how allusions contribute to meaning in excerpts from O. Henry's classic American short story “The Gift of the Magi." In this interactive tutorial, you'll determine how allusions in the text better develop the key story elements of setting, characters, and conflict and explain how the allusion to the Magi contributes to the story’s main message about what it means to give a gift.

Type: Original Student Tutorial

Analyzing Imagery in Shakespeare’s "Sonnet 18":

Type: Original Student Tutorial

Comparing Universal Themes in Shakespeare’s "Sonnet 18":

Study William Shakespeare's "Sonnet 18" to determine and compare two universal themes and how they are developed throughout the sonnet. 

Type: Original Student Tutorial

How Form Contributes to Meaning in Shakespeare’s "Sonnet 18":

Explore the form and meaning of William Shakespeare's “Sonnet 18.”  In this interactive tutorial, you’ll examine how specific words and phrases contribute to meaning in the sonnet, select the features of a Shakespearean sonnet in the poem, identify the solution to a problem, and explain how the form of a Shakespearean sonnet contributes to the meaning of "Sonnet 18."

Type: Original Student Tutorial

Analyzing Universal Themes in "The Gift of the Magi":

Analyze how O. Henry uses details to address the topics of value, sacrifice, and love in his famous short story, "The Gift of the Magi." In this interactive tutorial, you'll also determine two universal themes of the story. 

Type: Original Student Tutorial

How Story Elements Interact in “The Gift of the Magi" – Part Two:

Explore key story elements in more excerpts from the classic American short story “The Gift of the Magi” by O. Henry.

In Part Two of this two-part series, you'll analyze how important information about two main characters is revealed through the context of the story’s setting and events in the plot. By the end of this tutorial, you should be able to explain how character development, setting, and plot interact in "The Gift of the Magi."

Make sure to complete Part One before beginning Part Two. Click HERE to launch Part One. 

Type: Original Student Tutorial

How Story Elements Interact in “The Gift of the Magi" -- Part One:

Explore key story elements in the classic American short story “The Gift of the Magi” by O. Henry. Throughout this two-part tutorial, you'll analyze how important information about two main characters is revealed through the context of the story’s setting and events in the plot. By the end of this tutorial series, you should be able to explain how character development, setting, and plot interact in excerpts from this short story.

Make sure to complete both parts! Click HERE to view "How Story Elements Interact in 'The Gift of the Magi' -- Part Two."

Type: Original Student Tutorial

Additive Angles: Wondrous Windows:

Decompose and compose various angles while exploring clocks and windows in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students to improve their problem-solving skills.

Type: Original Student Tutorial

Archetypes – Part Two: Examining Archetypes in The Princess and the Goblin:

Read more from the fantasy novel The Princess and the Goblin by George MacDonald in Part Two of this three-part series. By the end of this tutorial, you should be able to compare and contrast the archetypes of two characters in the novel.

Make sure to complete all three parts of this series in order to compare and contrast the use of archetypes in two texts.

Click HERE to view "Archetypes -- Part One: Examining an Archetype in The Princess and the Goblin."

Click HERE to view "Archetypes -- Part Three: Comparing and Contrasting Archetypes in Two Fantasy Stories." 

Type: Original Student Tutorial

Archetypes – Part One: Examining an Archetype in The Princess and the Goblin:

Learn to determine the important traits of a main character named Princess Irene in excerpts from the fantasy novel The Princess and the Goblin by George MacDonald. In this interactive tutorial, you’ll also identify her archetype and explain how textual details about her character support her archetype.  

Make sure to complete all three parts of this series in order to compare and contrast the use of archetypes in two texts.

Click HERE to view "Archetypes -- Part Two: Examining Archetypes in The Princess and the Goblin."

Click HERE to view "Archetypes -- Part Three: Comparing and Contrasting Archetypes in Two Fantasy Stories." 

Type: Original Student Tutorial

The Power to Cure or Impair: The Importance of Setting in "The Yellow Wallpaper" -- Part One:

Learn to identify aspects of setting and character as you analyze several excerpts from “The Yellow Wallpaper," a chilling short story by Charlotte Perkins Gilman that explores the impact on its narrator of being confined to mostly one room. You'll also determine how the narrator’s descriptions of the story’s setting better reveal her emotional and mental state.

This interactive tutorial is Part One in a two-part series. By the end of Part Two, you should be able to explain how the narrator changes through her interaction with the setting. Click below to launch Part Two.

The Power to Cure or Impair: The Importance of Setting in 'The Yellow Wallpaper' -- Part Two 

Type: Original Student Tutorial

The Power to Cure or Impair: The Importance of Setting in "The Yellow Wallpaper" -- Part Two:

Continue to examine several excerpts from the chilling short story “The Yellow Wallpaper” by Charlotte Perkins Gilman, which explores the impact on its narrator of being confined to mostly one room. In Part Two of this tutorial series, you'll determine how the narrator’s descriptions of the story’s setting reveal its impact on her emotional and mental state. By the end of this tutorial, you should be able to explain how the narrator changes through her interaction with the setting.

Make sure to complete Part One before beginning Part Two. Click HERE to launch "The Power to Cure or Impair: The Importance of Setting in 'The Yellow Wallpaper' -- Part One." 

Type: Original Student Tutorial

The Mystery of the Past: How the Form of a Villanelle Contributes to Meaning in "The House on the Hill":

Explore the mysterious poem “The House on the Hill” by Edwin Arlington Robinson in this interactive tutorial. As you explore the poem's message about the past, you’ll identify the features of a villanelle in the poem. By the end of this tutorial, you should be able to explain how the form of a villanelle contributes to the poem's meaning.

Type: Original Student Tutorial

A Giant of Size and Power – Part Two: How the Form of a Sonnet Contributes to Meaning in "The New Colossus":

Continue to explore the significance of the famous poem “The New Colossus” by Emma Lazarus, lines from which are engraved on the pedestal of the Statue of Liberty. 

In Part Two of this two-part series, you’ll identify the features of a sonnet in the poem "The New Colossus." By the end of this tutorial, you should be able to explain how the form of a sonnet contributes to the poem's meaning. 

Make sure to complete Part One before beginning Part Two.

Click HERE to launch "A Giant of Size and Power -- Part One: Exploring the Significance of 'The New Colossus.'"

Type: Original Student Tutorial

Analyzing the Beginning of The Red Umbrella – Part Two: How Setting Influences Characters:

Continue to examine how setting influences characters in excerpts from The Red Umbrella by Christina Diaz Gonzalez with this interactive tutorial.

This is part 2 in a two-part series. Make sure to complete Part One first. Click HERE to launch "Analyzing the Beginning of The Red Umbrella -- Part One: How Setting Influences Events." 

Type: Original Student Tutorial

A Giant of Size and Power -- Part One: Exploring the Significance of "The New Colossus":

In Part One, explore the significance of the famous poem “The New Colossus” by Emma Lazarus, lines from which are engraved on the pedestal of the Statue of Liberty. 

This famous poem also happens to be in the form of a sonnet. In Part Two of this two-part series, you’ll identify the features of a sonnet in the poem. By the end of this tutorial series, you should be able to explain how the form of a sonnet contributes to the poem's meaning. Make sure to complete both parts!

Click HERE to launch "A Giant of Size and Power -- Part Two: How the Form of a Sonnet Contributes to Meaning in 'The New Colossus.'"

Type: Original Student Tutorial

Analyzing the Beginning of The Red Umbrella – Part One: How Setting Influences Events:

Explore excerpts from the beginning of the historical fiction novel The Red Umbrella by Christina Diaz Gonzalez in this two-part series. In Part One, you'll examine how setting influences events. In Part Two, you'll examine how setting influences characters.

Make sure to complete both parts! Click HERE to launch Part Two.

Type: Original Student Tutorial

CPALMS Aquarium: Part 3 Division with Larger Numbers:

Learn more about division with larger numbers in this aquarium-themed, interactive tutorial. 

This is part 3 of in a three-part series. Click below to learn different strategies to help you become more efficient with division.

Type: Original Student Tutorial

Fractions at the Fair: Equivalent Tenths and Hundredths:

Learn about equivalent 10ths and 100ths and how to calculate these equivalent fractions at the fair in this interactive tutorial.

Type: Original Student Tutorial

Rounding Larger Numbers with Endangered Animals:

Learn how to round larger whole numbers to any place value while exploring endangered species in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills.

Type: Original Student Tutorial

Physical Science Unit: Water Beach Vacation Lesson 17 Video:

This SaM-1 video provides the students with the optional "twist" for Lesson 17 and the Model Eliciting Activity (MEA) they have been working on in the Grade 3 Physical Science Unit: Water Beach Vacation. 

 

To see all the lessons in the unit please visit https://www.cpalms.org/page818.aspx.

Type: Original Student Tutorial

Physical Science Unit: Water Beach Vacation Lesson 14 Video:

This video introduces the students to a Model Eliciting Activity (MEA) and concepts related to conducting experiments so they can apply what they learned about the changes water undergoes when it changes state.  This MEA provides students with an opportunity to develop a procedure based on evidence for selecting the most effective cooler.

This SaM-1 video is to be used with lesson 14 in the Grade 3 Physical Science Unit: Water Beach Vacation. To see all the lessons in the unit please visit https://www.cpalms.org/page818.aspx.

Type: Original Student Tutorial

Additive Angles: Tessellating Tiles:

Are you up for a challenge? You will use tile designs to explore how angles can be decomposed into smaller angles and how those parts can be shown as addends in equations in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills.

Type: Original Student Tutorial

Space: Multiplication as Comparison:

Launch into solving word problems that use multiplicative comparisons, drawings, and symbols in this space-themed interactive tutorial.

Type: Original Student Tutorial

Game On Part Two: Measuring Distance with Customary Units:

Learn to convert a larger customary measurement unit into equivalent smaller units, including converting miles to yards and feet in this sports-themed interactive tutorial.

This is Part 2 of a two-part series. Click HERE to open Part 1: Measuring Length with Customary Units.

Type: Original Student Tutorial

Game On Part One: Measuring Length with Customary Units:

Learn to convert a larger customary measurement unit into equivalent smaller units, including converting yards to feet and inches, in this sports-themed interactive tutorial.

Type: Original Student Tutorial

Wubble Double Trouble:

Join Pete as he explores patterns within patterns with feisty Wubbles and Dipples in this interactive tutorial.

Type: Original Student Tutorial

Multiplying Fractions with Bake Sale Mania:

Find the total amounts of repeated fraction quantities by multiplying a fraction by a whole number using visual models that represent real-world problems and cookies in this interactive tutorial.

Type: Original Student Tutorial

Comparing Fractions with Square Foot Gardens Part 2:

Use equivalent fractions to compare fractions in this garden-themed, interactive tutorials

This is Part 2 in a two-part series. Click to open Part 1,  “Mama’s Pizza, Butterflies, & Comparing Fractions.”

Type: Original Student Tutorial

Return to Deciland: Locating Decimals on a Number Line:

Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial.

Type: Original Student Tutorial

Breanna's Bracelet Business:

Join us as Breanna learns to use a line plot to examine measurement data she needs to create bracelets for her friends, in this interactive tutorial.

Type: Original Student Tutorial

Mama's Pizza, Butterflies, and Comparing Fractions Part 1:

Help a family settle an argument about who got the most pizza and which butterfly was longer by comparing fractions using benchmarks and area models, in this interactive tutorial.

Type: Original Student Tutorial

Topsy-Turvy Playground: Subtracting Decimals:

Learn to subtract decimals to the hundredths place using place-value models and written expressions as you fix the topsy-turvy playground in this interactive tutorial.

Type: Original Student Tutorial

Dream House Dilemma, Part 2: Perimeter:

Learn to calculate the perimeter of rectangular and composite shapes to help April finish designing her dream home in this interactive tutorial. 

This is the second in a three-part series. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

CPALMS Aquarium Part 2: Division Strategies:

Learn to solve division challenges using the partial quotients strategy with this interactive tutorial.

This is the second tutorial is a series on division strategies.

Type: Original Student Tutorial

Dream House Dilemma Part 3: Perimeter and a Missing Side:

Learn how to calculate perimeter and find a missing side measurement for a shape given the perimeter in this interactive tutorial. 

This is the third in a three-part series about designing a dream house.  Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Sweet Treats Factory Invasion: Adding Decimals:

Help these aliens clean up the Sweet Treats Factory by learning to add decimals in this interactive mathematics tutorial.

Type: Original Student Tutorial

CPALMS Aquarium: Connecting Multiplication and Division: Part 1:

Learn how multiplication connects to division to help understand what division is in this aquarium-themed, interactive tutorial.  

This is part 1 of a two-part series. Click to open Part 2, Division Strategies.

Type: Original Student Tutorial

Dream House Dilemma Part 1: Area:

Help April calculate area and missing measurements for items in her perfect dream home in this interactive tutorial.

This is the first in a three-part series.  Click below to open the other tutorials in this series

Type: Original Student Tutorial

Reading into Words with Multiple Meanings:

Explore Robert Frost's poem "Mending Wall" and examine words, phrases, and lines with multiple meanings. In this interactive tutorial, you'll analyze how these multiple meanings can affect a reader’s interpretation of the poem.

Type: Original Student Tutorial

Prime and Composite Backyard Dilemma :

Discover what makes prime and composite numbers unique thanks to an interesting backyard problem in this interactive tutorial.

Type: Original Student Tutorial

From Myth to Short Story: Drawing on Source Material – Part Two:

Examine the topics of transformation and perfection as you read excerpts from the “Myth of Pygmalion” by Ovid and the short story “The Birthmark” by Nathaniel Hawthorne. By the end of this two-part interactive tutorial series, you should be able to explain how the short story draws on and transforms source material from the original myth. 

This tutorial is the second in a two-part series. Click HERE to launch Part One.

Type: Original Student Tutorial

Who's Top Dog, Now? Comparing Numbers:

Learn how to compare numbers using the greater than and less than symbols in this interactive tutorial that compares some pretty cool things!

Type: Original Student Tutorial

Candy Engineer: Place Value:

Read and write multi-digit whole numbers using base-ten numerals and number names using the Base 10 place value system in this interactive tutorial.

Note: this tutorial exceeds the number limits of the benchmark.

Type: Original Student Tutorial

From Myth to Short Story: Drawing on Source Material – Part One:

Examine the topics of transformation and perfection as you read excerpts from the “Myth of Pygmalion” by Ovid and the short story “The Birthmark” by Nathaniel Hawthorne. By the end of this two-part interactive tutorial series, you should be able to explain how the short story draws on and transforms source material from the original myth.  

This tutorial is the first in a two-part series. Click HERE to launch Part Two.

Type: Original Student Tutorial

Candy Sales Are Booming! Expanded Notation:

Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.

Type: Original Student Tutorial

Multi-Digit Multiplication Magic Part 3: Recording Partial Products:

Calculate the product of multi-digit factors by decomposing factors and recording partial products in this interactive tutorial.

This is part 3 in a 3-part series. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Multi-Digit Multiplication Area Models: Part 2:

See the magical power of area models when multiplying multi-digit numbers in this interactive tutorial.  

This is part 2 in a 3-part series. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Multi-Digit Multiplication Magic Part 1: Arrays:

Learn to use arrays to solve multi-digit multiplication problems in this interactive tutorial.

This is part 1 in a 3-part series. Click below to open the other tutorials in the series.

Type: Original Student Tutorial

Logging Lengths with Line Plots:

Learn how to create a line plot and analyze data in the line plot in this interactive tutorial.  You will also see how to add and subtract using the line plot to solve problems based on the line plots.

Type: Original Student Tutorial

Deci Land Escape:

Help Rich escape Deci Land by learning how to write decimals that are related to fractions with denominators of 10 and 100 in this interactive tutorial.

Type: Original Student Tutorial

The Treasure of Aryabhata: Place Value Comparison:

Help solve mysteries built on patterns of ten to discover the treasure of our number system in this interactive student tutorial.

Type: Original Student Tutorial

Don't Plagiarize: Cite Your Sources!:

Learn more about that dreaded word--plagiarism--in this interactive tutorial that's all about citing your sources, creating a Works Cited page, and avoiding academic dishonesty!

Type: Original Student Tutorial

Map the ROC: Angle Measure:

Learn how to measure angles with a protractor to help get a robot through an obstacle course in this interactive tutorial.

Type: Original Student Tutorial

Avoiding Plagiarism and Citing Sources:

Learn more about that dreaded word--plagiarism--in this interactive tutorial that's all about citing your sources and avoiding academic dishonesty!

Type: Original Student Tutorial

ROC Star: Angle Classification:

Classify and name angles in two-dimensional shapes to help a robot create a path using angles in this interactive tutorial.

Type: Original Student Tutorial

Analyzing Word Choice in Emerson's "Self-Reliance": Part 2:

Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this two-part series. This tutorial is Part Two. In this tutorial, you will continue to examine excerpts from Emerson's essay that focus on the topic of traveling. You'll examine word meanings and determine the connotations of specific words. You will also analyze the impact of specific word choices on the meaning of this portion of the essay.

Make sure to complete Part One first. Click HERE to launch Part One.

Type: Original Student Tutorial

Analyzing Word Choice in Emerson's "Self-Reliance": Part 1:

Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this two-part interactive tutorial series. You will examine word meanings, examine subtle differences between words with similar meanings, and think about the emotions or associations that are connected to specific words. Finally, you will analyze the impact of specific word choices on the meaning of these excerpts.

Make sure to complete both parts! Click HERE to launch Part Two.

Type: Original Student Tutorial

Analyzing Figurative Meaning in Emerson's "Self-Reliance": Part 2:

Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this interactive two-part tutorial. This tutorial is Part Two. In this two-part series, you will learn to enhance your experience of Emerson's essay by analyzing his use of the word "genius." You will analyze Emerson's figurative meaning of "genius" and how he develops and refines the meaning of this word over the course of the essay.

Make sure to complete Part One before beginning Part Two. Click HERE to view Part One.

Type: Original Student Tutorial

Analyzing Figurative Meaning in Emerson's "Self-Reliance": Part 1:

Explore excerpts from Ralph Waldo Emerson's essay "Self-Reliance" in this interactive two-part tutorial. In Part One, you’ll learn to enhance your experience of a text by analyzing its use of a word’s figurative meaning. Specifically, you'll examine Emerson's figurative meaning of the key term "genius." In Part Two, you’ll learn how to track the development of a word’s figurative meaning over the course of a text. 

Make sure to complete both parts of the tutorial! Click HERE to launch Part Two.

Type: Original Student Tutorial

Equivalent Fractions Part 1: Sharing at the Shelter:

Learn how to create equivalent fractions and visually see how they are equivalent in this interactive tutorial.

This is part 1 of a 2-part series. Click HERE to open Part 2.

Type: Original Student Tutorial

Field Trip Frenzy (Part 4):

Learn when to write the remainder of a multi-step division process as a fraction or decimal in this interactive tutorial.

This is the final tutorial in the Field Trip Frenzy Series about remainders. Click below to open the other tutorials in this series.

Note: This tutorial extends beyond whole number quotients with whole number remainders to whole number quotients with fractional or decimal remainders.

Type: Original Student Tutorial

Field Trip Frenzy (Part 3):

Learn how to interpret remainders in multi-step division problems in this interactive tutorial

This is the third tutorial in the Field Trip Frenzy Series about remainders. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Field Trip Frenzy (Part 2):

Learn how to interpret remainders in multi-step division problems related to a field trip in this interactive tutorial.

This tutorial is Part 2 in a four-part series about remainders. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Dash or Bash: Discovering Angles:

Discover what an angle is by helping to program a robot through an obstacle course in this interactive tutorial.

Type: Original Student Tutorial

Field Trip Frenzy (Part 1):

Take a field trip while learning how to interpret remainders in multi-step division word problems.

This is part 1 of a four-part series of interactive tutorials. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Multiplying Math Magic:

Learn how to write multiplication equations based on multiplication comparisons and story problems in this magical math online tutorial!

Type: Original Student Tutorial

Analyzing Word Choices in Poe's "The Raven" -- Part Two:

Practice analyzing word choices in "The Raven" by Edgar Allan Poe, including word meanings, subtle differences between words with similar meanings, and emotions connected to specific words. In this interactive tutorial, you will also analyze the impact of specific word choices on the meaning of the poem.

This is Part Two of a two-part series. Part One should be completed before beginning Part Two. Click HERE to open Part One.

Type: Original Student Tutorial

Analyzing Word Choices in Poe's "The Raven" -- Part One:

Practice analyzing word choices in "The Raven" by Edgar Allan Poe in this interactive tutorial. In this tutorial, you will examine word meanings, examine subtle differences between words with similar meanings, and think about emotions connected to specific words. You will also analyze the impact of specific word choices on the meaning of the poem.

This tutorial is Part One of a two-part series on Poe's "The Raven." Click HERE to open Part Two.

Type: Original Student Tutorial

A Poem in 2 Voices: Jekyll and Hyde:

Learn how to create a Poem in 2 Voices in this interactive tutorial. This tutorial is Part Three of a three-part series. In this tutorial, you will learn how to create a Poem in 2 Voices using evidence drawn from a literary text: The Strange Case of Dr. Jekyll and Mr. Hyde by Robert Louis Stevenson.

You should complete Part One and Part Two of this series before beginning Part Three.   

Click HERE to launch Part One. Click HERE to launch Part Two. 

Type: Original Student Tutorial

The Voices of Jekyll and Hyde, Part Two:

Get ready to travel back in time to London, England during the Victorian era in this interactive tutorial that uses text excerpts from The Strange Case of Dr. Jekyll and Mr. Hyde. This tutorial is Part Two of a three-part series. You should complete Part One before beginning this tutorial. In Part Two, you will read excerpts from the last half of the story and practice citing evidence to support analysis of a literary text. In the third tutorial in this series, you’ll learn how to create a Poem in 2 Voices using evidence from this story. 

Make sure to complete all three parts! Click to HERE launch Part One. Click HERE to launch Part Three. 

Type: Original Student Tutorial

Its all about Mood: Bradbury's "Zero Hour":

Learn how authors create mood in a story through this interactive tutorial. You'll read a science fiction short story by author Ray Bradbury and analyze how he uses images, sound, dialogue, setting, and characters' actions to create different moods. This tutorial is Part One in a two-part series. In Part Two, you'll use Bradbury's story to help you create a Found Poem that conveys multiple moods.

When you've completed Part One, click HERE to launch Part Two.

Type: Original Student Tutorial

Expository Writing: Eyes in the Sky (Part 4 of 4):

Practice writing different aspects of an expository essay about scientists using drones to research glaciers in Peru. This interactive tutorial is part four of a four-part series. In this final tutorial, you will learn about the elements of a body paragraph. You will also create a body paragraph with supporting evidence. Finally, you will learn about the elements of a conclusion and practice creating a “gift.” 

This tutorial is part four of a four-part series. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

The Voices of Jekyll and Hyde, Part One:

Practice citing evidence to support analysis of a literary text as you read excerpts from one of the most famous works of horror fiction of all time, The Strange Case of Dr. Jekyll and Mr. Hyde. 

This tutorial is Part One of a three-part tutorial. In Part Two, you'll continue your analysis of the text. In Part Three, you'll learn how to create a Poem in 2 Voices using evidence from this story. Make sure to complete all three parts! 

Click HERE to launch Part Two. Click HERE to launch Part Three. 

Type: Original Student Tutorial

Expository Writing: Eyes in the Sky (Part 3 of 4):

Learn how to write an introduction for an expository essay in this interactive tutorial. This tutorial is the third part of a four-part series. In previous tutorials in this series, students analyzed an informational text and video about scientists using drones to explore glaciers in Peru. Students also determined the central idea and important details of the text and wrote an effective summary. In part three, you'll learn how to write an introduction for an expository essay about the scientists' research. 

This tutorial is part three of a four-part series. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Drones and Glaciers: Eyes in the Sky (Part 2 of 4):

Learn how to identify the central idea and important details of a text, as well as how to write an effective summary in this interactive tutorial. This tutorial is the second tutorial in a four-part series that examines how scientists are using drones to explore glaciers in Peru. 

This tutorial is part two of a four-part series. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Drones and Glaciers: Eyes in the Sky (Part 1 of 4):

Learn about how researchers are using drones, also called unmanned aerial vehicles or UAVs, to study glaciers in Peru. In this interactive tutorial, you will practice citing text evidence when answering questions about a text.

This tutorial is part one of a four-part series. Click below to open the other tutorials in this series.

Type: Original Student Tutorial

Avoiding Plagiarism: It's Not Magic:

Learn how to avoid plagiarism in this interactive tutorial. You will also learn how to follow a standard format for citation and how to format your research paper using MLA style. Along the way, you will also learn about master magician Harry Houdini. This tutorial is Part Two of a two-part series on research writing.

Be sure to complete Part One first. Click to view Part One.

Type: Original Student Tutorial

Research Writing: It's Not Magic:

Learn about paraphrasing and the use of direct quotes in this interactive tutorial about research writing. Along the way, you'll also learn about master magician Harry Houdini. This tutorial is part one of a two-part series, so be sure to complete both parts.

Check out part two—Avoiding Plaigiarism: It's Not Magic here.

Type: Original Student Tutorial

It's all about Mood: Creating a Found Poem:

Learn how to create a Found Poem with changing moods in this interactive tutorial. This tutorial is Part Two of a two-part series. In Part One, students read “Zero Hour,” a science fiction short story by author Ray Bradbury and examined how he used various literary devices to create changing moods. In Part Two, students will use words and phrases from “Zero Hour” to create a Found Poem with two of the same moods from Bradbury's story.

Click HERE to launch Part One.

Type: Original Student Tutorial

Happy Halloween! Textual Evidence and Inferences:

Cite text evidence and make inferences about the "real" history of Halloween in this spooky interactive tutorial. 

Type: Original Student Tutorial

Plagiarism: What Is It? How Can I Avoid It?:

Learn more about that dreaded word--plagiarism--in this interactive tutorial that's all about citing your sources and avoiding academic dishonesty!

Type: Original Student Tutorial

Cyberwar! Citing Evidence and Making Inferences:

Learn how to cite evidence and draw inferences in this interactive tutorial. Using an informational text about cyber attacks, you'll practice identifying text evidence and making inferences based on the text.

Type: Original Student Tutorial

Go For the Gold: Writing Claims & Using Evidence:

Learn how to define and identify claims being made within a text. This tutorial will also show you how evidence can be used effectively to support the claim being made. Lastly, this tutorial will help you write strong, convincing claims of your own.

Type: Original Student Tutorial

Westward Bound: Exploring Evidence and Inferences:

Learn to identify explicit textual evidence and make inferences based on the text. In this interactive tutorial, you'll sharpen your analysis skills while reading about the famed American explorers, Lewis and Clark, and their trusted companion, Sacagawea. You'll practice analyzing the explicit textual evidence wihtin the text, and you'll also make your own inferences based on the available evidence. 

Type: Original Student Tutorial

Wild Words: Analyzing the Extended Metaphor in "The Stolen Child":

Learn to identify and analyze extended metaphors using W.B. Yeats' poem, "The Stolen Child." In this interactive tutorial, we'll examine how Yeats uses figurative language to express the extended metaphor throughout this poem. We'll focus on his use of these seven types of imagery: visual, auditory, gustatory, olfactory, tactile, kinesthetic, and organic. Finally, we'll analyze how the poem's extended metaphor conveys a deeper meaning within the text.

Type: Original Student Tutorial

Timmy's Trouble with Taffy:

Learn to estimate and measure the masses of objects in grams and kilograms in this interactive tutorial with an animal hospital theme.

Type: Original Student Tutorial

Set Sail: Analyzing the Central Idea:

Learn to identify and analyze the central idea of an informational text. In this interactive tutorial, you'll read several informational passages about the history of pirates. First, you'll learn the four-step process for pinpointing the central idea. Then you'll analyze each passage to see how the central idea is developed throughout the text.

Type: Original Student Tutorial

"The Last Leaf" – Making Inferences:

Learn how to make inferences based on the information included in the text in this interactive tutorial. Using the short story "The Last Leaf" by O. Henry, you'll practice identifying both the explicit and implicit information in the story. You'll apply your own reasoning to make inferences based on what is stated both explicitly and implicitly in the text. 

Type: Original Student Tutorial

"Beary" Good Details:

Join Baby Bear to answer questions about key details in his favorite stories with this interactive tutorial. Learn about characters, setting, and events as you answer who, where, and what questions.

Type: Original Student Tutorial

The Leftover Dessert Dilemma:

Learn how to decompose a fraction into a sum of fractions with common denominators with this interactive tutorial.

Type: Original Student Tutorial

Surviving Extreme Conditions:

In this tutorial, you will practice identifying relevant evidence within a text as you read excerpts from Jack London's short story "To Build a Fire." Then, you'll practice your writing skills as you draft a short response using examples of relevant evidence from the story.

Type: Original Student Tutorial

Exploring Texts:

Learn how to make inferences using the novel Hoot in this interactive tutorial. You'll learn how to identify both explicit and implicit information in the story to make inferences about characters and events.

Type: Original Student Tutorial

The Joy That Kills:

Learn how to make inferences when reading a fictional text using the textual evidence provided. In this tutorial, you'll read the short story "The Story of an Hour" by Kate Chopin. You'll practice identifying what is directly stated in the text and what requires the use of inference. You'll practice making your own inferences and supporting them with evidence from the text.

Type: Original Student Tutorial

These are the Right Triangles:

Identify right triangles and explain the properties shared by all right triangles in this interactive tutorial.

Type: Original Student Tutorial

Equivalent Fractions, Part 2: Patterns in the Multiplication Table:

Learn how to find equivalent fractions in a multiplication table in this interactive tutorial. 

This is part 2 of a 2 part series. Click HERE to open Part 1. 

Type: Original Student Tutorial

Educational Games

Arithmetic Workout:

This tutorial will help you to brush up on your multiplication, division and factoring skills with this exciting game. 

Type: Educational Game

Sigma Prime: A Prime Factorization Game:


This fun and engaging game will test your knowledge of whole numbers as prime or composite.  As you shoot the asteroids with a particular factor, the asteroids will break down by that chosen factor.  Keep shooting the correct factors to totally eliminate the asteroids.  But be careful, shooting the wrong factor has consequences!

Type: Educational Game

Ice Ice Maybe: An Operations Estimation Game:


This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents.

Various levels of difficulty make this game appropriate for multiple age and ability levels.

Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals.

Multiplication/Division: The multiplication and addition of whole numbers.

Percentages: Identify the percentage of a whole number.

Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations.

Type: Educational Game

Flower Power: An Ordering of Rational Numbers Game:


This is a fun and interactive game that helps students practice ordering rational numbers, including decimals, fractions, and percents. You are planting and harvesting flowers for cash. Allow the bee to pollinate, and you can multiply your crops and cash rewards!

Type: Educational Game

Fraction Quiz:

Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit.

Type: Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Educational Software / Tool

Arithmetic Quiz:

In this activity, students solve arithmetic problems involving whole numbers, integers, addition, subtraction, multiplication, and division. This activity allows students to track their progress in learning how to perform arithmetic on whole numbers and integers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Software / Tool

Problem-Solving Tasks

Finding an unknown angle:

The purpose of this task is to give students a problem involving an unknown quantity that has a clear visual representation. Students must understand that the four interior angles of a rectangle are all right angles and that right angles have a measure of 90° and that angle measure is additive.

Type: Problem-Solving Task

Adding Tenths and Hundredths:

The purpose of this task is adding fractions with a focus on tenths and hundredths. 

Type: Problem-Solving Task

Making 22 Seventeenths in Different Ways:

This task is a straightforward task related to adding fractions with the same denominator. The main purpose is to emphasize that there are many ways to decompose a fraction as a sum of fractions.

Type: Problem-Solving Task

Listing fractions in increasing size:

The fractions for this task have been carefully chosen to encourage and reward different methods of comparison. The first solution judiciously uses each of the following strategies when appropriate: comparing to benchmark fractions, finding a common denominator, finding a common numerator. The second and third solution shown use only either common denominators or numerators. Teachers should encourage multiple approaches to solving the problem. This task is mostly intended for instructional purposes, although it has value as a formative assessment item as well.

Type: Problem-Solving Task

How Many Tenths and Hundredths?:

The purpose of this task is for students to finish the equations to make true statements. Parts (a) and (b) have the same solution, which emphasizes that the order in which we add doesn't matter (because addition is commutative), while parts (c) and (d) emphasize that the position of a digit in a decimal number is critical. The student must really think to encode the quantity in positional notation. In parts (e), (f), and (g), the base-ten units in 14 hundredths are bundled in different ways. In part (e), "hundredths" are thought of as units: 14 things = 10 things + 4 things. Part (h) addresses the notion of equivalence between hundredths and tenths.

Type: Problem-Solving Task

Fraction Equivalence:

Students may not articulate every detail, but the basic idea for a case like the one shown here is that when you have equivalent fractions, you have just cut the pieces that represent the fraction into more but smaller pieces. Explaining fraction equivalences at higher grades can be a bit more involved (e.g. 6/8=9/12), but it can always be framed as subdividing the same quantity in different ways.

Type: Problem-Solving Task

Explaining Fraction Equivalence with Pictures:

The purpose of this task is to provide students with an opportunity to explain fraction equivalence through visual models in a particular example. Students will need more opportunities to think about fraction equivalence with different examples and models, but this task represents a good first step.

Type: Problem-Solving Task

Expanded Fractions and Decimals:

The purpose of this task is for students to show they understand the connection between fraction and decimal notation by writing the same numbers both ways. Comparing and contrasting the two solutions shown below shows why decimal notation can be confusing. The first solution shows the briefest way to represent each number, and the second solution makes all the zeros explicit.

Type: Problem-Solving Task

Dimes and Pennies:

The purpose of this task is to help students gain a better understanding of fractions through the use of dimes and pennies.

Type: Problem-Solving Task

Comparing two different pizzas:

The focus of this task is on understanding that fractions, in an explicit context, are fractions of a specific whole. In this this problem there are three different wholes: the medium pizza, the large pizza, and the two pizzas taken together. This task is best suited for instruction. Students can practice explaining their reasoning to each other in pairs or as part of a whole group discussion.

Type: Problem-Solving Task

Comparing Sums of Unit Fractions:

The purpose of this task is to help develop students' understanding of addition of fractions; it is intended as an instructional task. Notice that students are not asked to find the sum so this may be given to students who are limited to computing sums of fractions with the same denominator. Rather, they need to apply a firm understanding of unit fractions (fractions with one in the numerator) and reason about their relative size.

Type: Problem-Solving Task

Writing a Mixed Number as an Equivalent Fraction:

The purpose of this task is to help students understand and articulate the reasons for the steps in the usual algorithm for converting a mixed number into an equivalent fraction. Step two shows that the algorithm is merely a shortcut for finding a common denominator between two fractions. This concept is an important precursor to adding mixed numbers and fractions with like denominators and as such, step two should be a point of emphasis. This task is appropriate for either instruction or formative assessment.

Type: Problem-Solving Task

Using Place Value:

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

Type: Problem-Solving Task

Using Benchmarks to Compare Fractions:

This task is intended primarily for instruction. The goal is to provide examples for comparing two fractions, 1/5 and 2/7 in this case, by finding a benchmark fraction which lies in between the two. In Melissa's example, she chooses 1/4 as being larger than 1/5 and smaller than 2/7.

Type: Problem-Solving Task

Sugar in six cans of soda:

This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. This task could form part of a very rich activity which includes studying soda can labels.

Type: Problem-Solving Task

Peaches:

This task provides a context where it is appropriate for students to subtract fractions with a common denominator; it could be used for either assessment or instructional purposes. For this particular task, teachers should anticipate two types of solution approaches: one where students subtract the whole numbers and the fractions separately and one where students convert the mixed numbers to improper fractions and then proceed to subtract.

Type: Problem-Solving Task

Money in the piggy bank:

This task is designed to help students focus on the whole that a fraction refers. It provides a context where there are two natural ways to view the coins.  While the intent is to deepen a student's understanding of fractions, it does go outside the requirements of the standard. 

Type: Problem-Solving Task

Comparing Growth, Variation 2:

The purpose of this task is to assess students’ understanding of multiplicative and additive reasoning. We would hope that students would be able to identify that Student A is just looking at how many feet are being added on, while  Student B is comparing how much the snakes grew in comparison to how long they were to begin with.

Type: Problem-Solving Task

Comparing Growth, Variation 1:

The purpose of this task is to foster a classroom discussion that will highlight the difference between multiplicative and additive reasoning. Some students will argue that they grew the same amount (an example of "additive thinking"). Students who are studying multiplicative comparison problems might argue that Jewel grew more since it grew more with respect to its original length (an example of "multiplicative thinking").

Type: Problem-Solving Task

Carnival Tickets:

The purpose of this task is for students to solve multi-step problems in a context involving a concept that supports financial literacy, namely inflation. Inflation is a sustained increase in the average price level. In this task, students can see that if the price level increases and people’s incomes do not increase, they aren’t able to purchase as many goods and services; in other words, their purchasing power decreases.

Type: Problem-Solving Task

Double Plus One:

The purpose of this task is to help students gain a better understanding of patterns. This task is meant to be used in an instructional setting.

Type: Problem-Solving Task

Comparing Money Raised:

The purpose of this task is to give students a better understanding of multiplicative comparison word problems with money. 

Type: Problem-Solving Task

Karl's Garden:

The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area. In addition, the numbers were chosen to determine if students have a common misconception related to multiplication. Since addition is both commutative and associative, we can reorder or regroup addends any way we like. Students often believe the same is true for multiplication. 

Type: Problem-Solving Task

Identifying Multiples:

The goal of this task is to work on finding multiples of some whole numbers on a multiplication grid. After shading in the multiples of 2, 3, and 4 on the table, students will see a key difference.  The focus can be on identifying patterns or this can be an introduction or review of prime and composite numbers.

Type: Problem-Solving Task

Comparing Products:

The purpose of this task is to generate a classroom discussion that helps students synthesize what they have learned about multiplication in previous grades. It builds on applying properties of operations as strategies to multiply and divide and interpreting a multiplication equation as a comparison.

Type: Problem-Solving Task

Connor and Makayla Discuss Multiplication:

The purpose of this task is to have students think about the meaning of multiplying a number by a fraction, and use this burgeoning understanding of fraction multiplication to make sense of the commutative property of multiplication in the case of fractions.

Type: Problem-Solving Task

Plastic Building Blocks:

The purpose of this task is to have students add mixed numbers with like denominators. This task illustrates the different kinds of solution approaches students might take to such a task. Two general approaches should be anticipated: one where students calculate exactly how many buckets of blocks the boys have to determine an answer, and one where students compare the given numbers to benchmark numbers.

Type: Problem-Solving Task

Running Laps:

The purpose of this task is for students to compare two fractions that arise in a context. Because the fractions are equal, students need to be able to explain how they know that. Some students might stop at the second-to-last picture and note that it looks like they ran the same distance, but the explanation is not yet complete at that point.

Type: Problem-Solving Task

Tutorials

Metric System: Units of Volume:

This Khan Academy tutorial video illustrates the conversion equivalence of liters, milliliters, and kiloliters.

Type: Tutorial

Unit Conversion: Ordering Metric Distances Example:

This Khan Academy tutorial video demonstrates a strategy for ordering four different-sized metric length units.

Type: Tutorial

Recognizing Prime and Composite Numbers:

This Khan Academy tutorial video reviews how to determine if a number is prime or composite.

Type: Tutorial

Regrouping Numbers: 4,500 = 3 thousands + ? hundreds:

In this tutorial, you will look at regrouping a number by different place values.

Type: Tutorial

Adding Two Fractions with Denominators 10 and 100:

The Khan Academy tutorial video presents a visual fraction model for adding 3/10 + 7/100 .

Type: Tutorial

Solving for a Part of a Decomposed Angle:

This Khan Academy tutorial video presents the strategy for finding the measure of one of two adjacent angles, when the sum of both and measure of one are known.

Type: Tutorial

Recognizing Acute, Right, and Obtuse Angles:

This Khan Academy tutorial video identifies acute, right, and obtuse angles and justifies each identification. 

Type: Tutorial

Angle Measurements and Circle Arcs:

This Khan Academy tutorial video demonstrates the relationship between the measurement of an angle and the arc of a circle.

Type: Tutorial

Angle Basics:

This Khan Academy tutorial video presents how an angle is formed and labeled.

Type: Tutorial

Units of Measurement Word Problem: Making Change:

This Khan Academy tutorial video presents a strategy for computing the amount of change to be received after making a purchase.

Type: Tutorial

Time Word Problem: When to Leave to Get Home on Time:

In this Khan Academy tutorial video Chris is told to be home by 6:15. You know the number of minutes it takes him to get home. What time should he leave?

Type: Tutorial

U.S. Customary Units: Distance:

This Khan Academy tutorial video presents conventional examples that use specific customary units

Type: Tutorial

How to convert kilograms to milligrams and tons to ounces:

In this tutorial video from Khan Academy, explore the differences and similarities involved when converting between measurements in the metric and customary systems.

Type: Tutorial

How to convert gallons to quarts, quarts to pints, pints to cups, and cups to ounces:

In this video tutorial from Khan Academy, explore converting between gallons, quarts, pints, cups, and fluid ounces.

Type: Tutorial

How to convert kilometers to meters and meters centimeters:

In this video tutorial from Khan Academy, explore conversion within metric units of length, such as: kilometers, meters and centimeters.

Type: Tutorial

How to convert hours to minutes and minutes to seconds:

In this video tutorial from Khan Academy, explore conversion of units of time between hours, minutes and seconds.

Type: Tutorial

U.S. customary units: fluid volume:

In this video tutorial from Khan Academy, explore U.S. customary units of fluid volume (teaspoon, tablespoon, fluid ounce, cup, pint, quart, and gallon).

Type: Tutorial

U.S. customary units: weight:

In this video tutorial from Khan Academy, explore pounds, ounces and tons.

Type: Tutorial

Area and Perimeter Word Problem: Table Dimensions:

This Khan Academy tutorial video presents a step-by-step solution for finding the length and width of a table when given its area and perimeter.

Type: Tutorial

Comparing Two Decimals with a Visual Model:

In this Khan Academy tutorial video two decimals are compared using grid diagrams.

Type: Tutorial

Decimals as Words:

In this Khan Academy video decimals are written and spoken in words.

Type: Tutorial

Decimals and Fractions from Grid and Number-Line Representations:

The Khan Academy video uses grid diagrams and number-line representations to say and write equivalent decimals and fractions.

Type: Tutorial

Grid Representations of Decimals:

The Khan Academy video illustrates how to determine and write the decimal represented by shaded grids.

Type: Tutorial

Visually Converting from Tenths to Hundredths:

In this Khan Academy video a fraction is converted from tenths to hundredths using grid diagrams.

Type: Tutorial

Multiplying a Fraction by a Whole Number:

In this Khan Academy video visual fraction models are used to represent the multiplication of a whole number times a fraction.

Type: Tutorial

What Fraction of Spider Eyes are Looking at Me?:

This Khan Academy video uses authentic pictures to present addition of two fractions with common denominators.

Type: Tutorial

Figuring Out How Much of a Pizza is Left:

This Khan Academy video solves two word problems using visual fraction models.

Type: Tutorial

Equivalent Fractions: Visual Models:

This Khan Academy video illustrates that fraction a/b is equivalent to fraction (a x n)/(b x n).

Type: Tutorial

Division: The importance of place value:

In this video tutorial from Khan Academy, learn about the importance of place value when dividing. The tutorial uses place value up to thousands to help students think about division.

Type: Tutorial

Division: Intro to remainders:

In this video tutorial from Khan Academy, you will get an introduction to the meaning of remainders.

Type: Tutorial

Multiplying: how to use the area model:

In this video tutorial from Khan Academy, view a demonstration of how to set-up an area model for multiplying a two-digit number by a two-digit number on graph or grid paper and then link this to the standard algorithm. 

Type: Tutorial

Multiplying: 2-digit number times a 2-digit number (area model):

In this tutorial video from Khan Academy, view an example of how to multiply a two-digit number by a two-digit number using the area model. The video makes a connection between partial products and the area model.  

Type: Tutorial

Multiplying: 2-digit number times 2-digit number (using distributive property):

In this video tutorial from Khan Academy, view an example and a description of how the distributive property can be used to multiply a two-digit number by a two-digit number. The second example uses the area model with the distributive property.

Type: Tutorial

Multiplying: 4-digits times 1-digit (using expanded form):

In this Khan Academy video tutorial, view an example of multiplying a 4-digit number by a 1-digit number by expanding the 4-digit number and multiplying by each digit individually in an area model. This video will help to build an understanding before teaching the standard algorithm.  Multiplying with a 4-digit factor is larger than some standards which limit factors to 3-digits.

Type: Tutorial

Multiplying: 2-digit number times a 2-digit number (standard algorithm):

In this tutorial video from Khan Academy, view an example of how to multiply a 2-digit number by another 2-digit number. Be sure to stick around for the second example! The key is understanding the value of each digit!

Type: Tutorial

Multiplying: 3 digits times 1 digit (standard algorithm):

In this video tutorial from Khan Academy, view an example of how to solve a problem in which a 3-digit number is being multiplied by a 1-digit number using the standard algorithm.  

Type: Tutorial

Multiplying: 2 digits times 1 digit (standard algorithm):

In this video tutorial from Khan Academy, view an example of how to solve a multiplication problem with a two-digit number multiplied by a one-digit number using the standard algorithm.

Type: Tutorial

Comparing Areas of Plots of Land:

Find area of two rectangles to solve a word problem.

Type: Tutorial

Comparing areas and perimeters of rectangles:

In this tutorial video from Khan Academy, explore the relationship between area and perimeter. For example, if you know the area and the length, can you find the perimeter?

Type: Tutorial

How to use an abacus (to represent multi-digit numbers):

In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right.

Type: Tutorial

Introduction to Decimals:

This tutorial for student audiences will provide a basic introduction to decimals. The tutorial presents a decimal as another way to represent a fraction. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer gaining an orange circle and a wrong answer graying out. Some "Try This" sections will read the decimal to the students as well.

Type: Tutorial

Comparing Fractions:

This tutorial for student audiences will assist learners with a further understanding that fractions are a way of showing part of a whole. Yet some fractions are larger than others. So this tutorial will help to refresh the understanding for the comparison of fractions. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving.

Type: Tutorial

Adding and Subtracting with Decimals:

This tutorial for student audiences will assist learners with a further understanding of the rules for adding and subtracting with decimals. Students will be able to navigate the teaching portion of the tutorial at their own pace and test their understanding after each step of the lesson with a "Try This" section. The "Try This" section will monitor students answers and self-check by a right answer turning orange and a wrong answer dissolving.

Type: Tutorial

Virtual Manipulative

Fraction Game:

This virtual manipulative allows individual students to work with fraction relationships. (There is also a link to a two-player version.)

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this course.