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Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
- Assessment Limits :
Given values and item solutions may only be whole numbers between 1 and 1,000,000. Items may compare two multi-digit numbers written in any form. - Calculator :
No
- Context :
Allowable
- Test Item #: Sample Item 1
- Question:
What is 6 × 10,000 + 5 × 1,000 + 2 × 100 + 3 × 1 written in standard form?
- Difficulty: N/A
- Type: EE: Equation Editor
- Test Item #: Sample Item 2
- Question:
Fill in the circles to match the name of each number with its numeric form.
- Difficulty: N/A
- Type: MI: Matching Item
- Test Item #: Sample Item 3
- Question:
Select all the options with 54,625 written in expanded form.
- Difficulty: N/A
- Type: MS: Multiselect
- Test Item #: Sample Item 4
- Question:
Which statements correctly compare two numbers?
- Difficulty: N/A
- Type: MS: Multiselect
Related Courses
Related Access Points
Related Resources
Educational Game
Formative Assessments
Lesson Plans
Original Student Tutorials
Problem-Solving Task
Tutorials
STEM Lessons - Model Eliciting Activity
In this 4th grade MEA, students will use data to compare which baseball player they think is the best hitter using actual stats.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
Students will compare multi-digit numbers to create a procedure for choosing the best car for Edward Easy to buy for his driving school. They will have to weigh quantitative and qualitative factors to determine the best car to purchase. Students will present their recommendations and the steps to the procedure they created in writing and orally.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
Students will evaluate different factors for building the right roller coaster.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx
Students will add and subtract multi-digit whole numbers (through the millions) to compare and contrast movie genres.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
Students are asked to evaluate several space suit designs and select the best design based on given data. Students work in collaborative groups to develop a procedure for selecting the best design and share their ideas with the rest of the class. A twist is introduced and the groups are challenged to test the validity of their procedure.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
In this MEA students will have to find the right rental for a client as they use their knowledge of numbers and some reasoning. Students will read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
This MEA is a student's exploration of banking. In the first task, they will create a model that will rank banks from most consumer friendly to least consumer friendly. In the second task, they will need to modify their models to address additional banks and additional criteria. Students can then test their models while researching real banks and determining their level of consumer friendliness.
Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.
MFAS Formative Assessments
Students are asked to compare two numbers in the context of a word problem and write an inequality statement showing the relationship between the numbers.
Students are asked to write numbers in both standard form (as base ten numerals) and expanded form.
Students are asked to read aloud several numbers that are greater than one thousand.
Students compare two numbers, one given in word form and the other given in expanded form.
Students will write the number name (word form) of a number when given the base-ten numeral (standard form).
Original Student Tutorials Mathematics - Grades K-5
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.
Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.
Learn how to compare numbers using the greater than and less than symbols in this interactive tutorial that compares some pretty cool things!
Student Resources
Original Student Tutorials
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
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
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
Educational 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
Problem-Solving Task
It is common for students to compare multi-digit numbers just by comparing the first digit, then the second digit, and so on. This task includes three-digit numbers with large hundreds digits and four-digit numbers with small thousands digits so that students must infer the presence of a 0 in the thousands place in order to compare. It also includes numbers with strategically placed zeros and an unusual request to order them from greatest to least in addition to the more traditional least to greatest.
Type: Problem-Solving Task
Tutorials
In this tutorial, you will look at regrouping a number by different place values.
Type: Tutorial
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
Parent Resources
Problem-Solving Task
It is common for students to compare multi-digit numbers just by comparing the first digit, then the second digit, and so on. This task includes three-digit numbers with large hundreds digits and four-digit numbers with small thousands digits so that students must infer the presence of a 0 in the thousands place in order to compare. It also includes numbers with strategically placed zeros and an unusual request to order them from greatest to least in addition to the more traditional least to greatest.
Type: Problem-Solving Task
Tutorial
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
