This cluster includes the following access points.
Vetted resources educators can use to teach the concepts and skills in this topic.
| Name |
Description |
| Solving Equations: Same Variable, Both Sides, One Solution: | In this challenge game, you will be solving equations with variables on both sides. Each equation has a real solution. Use the "Teach Me" button to review content before the challenge. After the challenge, review the problems as needed. Try again to get all challenge questions right! Question sets vary with each game, so feel free to play the game multiple times as needed! Good luck! |
| Timed Algebra Quiz: | In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. 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. |
| Algebra Four: | In this activity, two students play a simulated game of Connect Four, but in order to place a piece on the board, they must correctly solve an algebraic equation. This activity allows students to practice solving equations of varying difficulty: one-step, two-step, or quadratic equations and using the distributive property if desired. 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. |
| Name |
Description |
| Finding Solutions of Inequalities: | Students are given three inequalities and asked to determine if any numbers from a given set are solutions. |
| Equally Driven: | Students are asked to solve a real-world problem by writing and solving an equation. |
| Center Section: | Students are asked to solve a real-world problem by writing and solving an equation. |
| Solar Solutions: | Students are asked to solve a real-world problem by writing and solving an equation. |
| University Parking: | Students are asked to solve a real-world problem by writing and solving an equation. |
| Writing Real-World Expressions: | Students are asked to use variables to write expressions that represent quantities described in context. |
| Gavin’s Pocket: | Students are asked to interpret the significance of a variable and its possible values when given a variable expression in a real-world context. |
| Inventing X: | Students are asked to write and explain a real-world situation to accompany an algebraic expression. |
| Solutions of Inequalities: | Students are asked to explain what it means for a number to be a solution of an inequality. |
| Solutions of Equations: | Students are asked to explain what it means for a number to be a solution of an equation. |
| Transportation Number Lines: | Students are given an inequality to graph and asked to list sample solutions. |
| Rational Number Lines: | Students are given an inequality to graph and asked to select sample solutions. |
| Roadway Inequalities: | Students are given a context from which to write an inequality statement. |
| Acres and Altitudes: | Students are given a context from which to write an inequality statement. |
| Finding Solutions of Equations: | Students are given three equations and asked to determine if any numbers from a given set are solutions. |
| Name |
Description |
| Just Right Goldilocks’ Café: Temperature & Turbidity: | This is lesson 3 of 3 in the Goldilocks’ Café Just Right unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature and turbidity level. Students will use both the temperature probe and turbidity sensor and code using ScratchX during their investigation. |
| Just Right Goldilocks’ Café: Turbidity: | This is lesson 2 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” level of turbidity. Students will use turbidity sensors and code using ScratchX during their investigation. |
| Just Right Goldilocks’ Café: Temperature: | This is lesson 1 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature. Students will use temperature probes and code using ScratchX during their investigation.
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| Gather Data For Distribution by Programming an App: | This lesson allow students to gather, calculate, and plot data using both computer code and mathematical equations. In this lesson students will create a pedometer app to demonstrate the understanding of algorithms, components (such as buttons, textboxes, sensors, etc.), and If/Then statements. This lesson uses algebraic equations and random data to access the needed components to store data in a spreadsheet. |
| Data Sets Represented in Computers: | This lesson shows how data can be represented by computers, in relation to everyday activities we may not be aware that we use computer. It gives an overview of graphing data by creating a histogram based on population data. Using the data collected, students will get a chance to hand write code to show what structure is needed for computers to collect, analyze and distribute such data. This lesson is lesson 1 of the Data Set and Deviation Statistics Unit and bridges statistical concepts of data collection, graphing and analysis with programming a computer using coding language while reinforcing foundational algebraic skills. |
| Florida Water Hazard Warning Simulation: | This lesson is a culminating lesson in the Florida Landforms & Water Unit that gives students the ability to use their knowledge of water and potential weather hazards that affect different Florida landforms. This lesson allows students to create a computer program that demonstrates a flood hazard and how to monitor it. |
| Different Bodies of Water: | This is the introductory lesson in a 4-lesson unit of study about different bodies of water, their characteristics, and how to translate natural language into computer language. |
| Waste Not, Want Not: | Students will explore the excretory system through a variety of activities that include an inquiry lab, a reading excerpt, an engineering design challenge, and creating an infomercial. Students will build a simulated kidney and explore what factors improve the filtering ability. Students will analyze the data and formulate findings. |
| Are You Invited to the Party?: | Students will write and graph inequalities that represent real-world constraints involving whole numbers, negative numbers, and/or rational numbers. The distinction between continuous and discrete variables is made. |
| Introducing Inequalities: | Students are introduced to simple inequalities and their graphs as they write inequalities to represent real-world constraints. |
| It's All About Balance!: | Students will use a balance scale graphic organizer to solve for the unknown (variable) in addition and subtraction equations with one variable. |
| Going The Distance: | This lesson provides a hands-on activity where students can apply solving one-step multiplication and division equations to a real-world problem. The lesson focuses on the relationship between distance, rate, and time. The students will also represent data on graphs and draw conclusions and make interpretations based on the graphs. |
| Writing and Solving Equations From Real World Problems: | In this lesson, students will learn to write equations for given real world problems. They will eventually write their own problem, write the equation, then solve it. |
| Solving Addition and Subtraction Equations with Beans: | Students will use dried white and black beans to solve one-step addition and subtraction equations to realize the Addition Property of Equality and Subtraction Property of Equality through the use of inverse operations (zero pairs).
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| Equations with a Deck of Cards: | In this lesson, students learn about solving one- and two-step equations as well as how to use an equation to model information from a word problem. Students will play Lowest Wins, a game played with normal playing cards that challenges students to set up equations from the cards they have been dealt that will give them the lowest solution possible. |
| How Much was Lunch?: | This lesson explores using substitution to solve one-step equations. Each real world problems involves discussion and students are expected to support their solutions. |
| Bake Sale: | This lesson challenges student to develop and solve equations for mathematical and real world situations. Students will be encouraged to use the work backwards strategy using inverse operations to find a solution. |
| Decoding Word Phrases-Translating verbal phrases to variable expressions: | This lesson is designed to help students decode word phrases and then translate them from word form into numerical form. It provides a resource, in the form of a foldable, that can be kept all year and used anytime the students need to decode word phrases. |
| Solving One-Step Equations Using Mental Math: | In this lesson students will solve one-step equations using mental math and guess-and-check. Students will use number cubes to generate random numbers to test as solutions to the equations. |
| Analyzing Polyhedra: | Students will construct several simple polyhedra, then count the number of faces, edges, and vertices. These data should suggest Euler's formula. |
| Writing Inequalities to Represent Situations: | In this introductory lesson, students will learn how to write inequalities to represent situations through guided practice, cooperative learning and comparing the solutions of inequalities to that of equations. |
| Name |
Description |
| Smiles: | In this online problem-solving challenge, students apply algebraic reasoning to determine the "costs" of individual types of faces from sums of frowns, smiles, and neutral faces. This page provides three pictorial problems involving solving systems of equations along with tips for thinking through the problem, the solution, and other similar problems. |
| Triangular Tables: | Students are asked to use a diagram or table to write an algebraic expression and use the expression to solve problems. |
| Anna in D.C.: | The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem. |
| Busy Day: | Students are asked to write and solve an equation in one variable to answer a real world question. |
| Firefighter Allocation: | In this task students are asked to write an equation to solve a real-world problem. |
| Fishing Adventures 1: | Students are asked to write and graph two inequalities described in context: one discrete and one continuous. |
| Log Ride: | Students are asked to solve an inequality in order to answer a real-world question. |
| Morning Walk: | Students are asked to write an equation with one variable in order to find the distance walked. |
| Name |
Description |
| How to Solve Equations of the Form ax = b: | Here's an introduction to basic algebraic equations of the form ax = b in this tutorial. |
| How to Solve One-Step Multiplication and Division Equations with Fractions and Decimals: | In this tutorial, we will solve equations in one step by multiplying or dividing a number on both sides. |
| How to Test Solutions to Inequalities: | Learn how to test if a certain value of a variable makes an inequality true in this tutorial. |
| How to Test Solutions to Equations Using Substitution: | Learn how to test if a certain value of a variable makes an equation true in this tutorial. |
| How to Represent a Relationship with a Simple Equation: | This video demonstrates how to write and solve a one-step addition equation. |
| Solving One-Step Equations Using Division: | To find the value of a variable, you have to get it on one side of the equation alone. To do that, you'll need to do something to BOTH sides of the equation. |
| Why to Divide on Both Sides of an Equation: | This video provides a conceptual explanation of why one needs to divide both sides of an equation to solve for a variable. |
| How to Write Basic Expressions with Variables: | Learn how to write basic algebraic expressions. |
| How to Represent Real-World Situations with Inequalities: | Learn how to write inequalities to model real-world situations. |
| How to Write Expressions with Variables: | Learn how to write simple algebraic expressions. |
| How to Write Basic Algebraic Expressions from Word Problems: | Learn how to write basic expressions with variables to portray situations described in word problems. |
| What is a Variable?: | The focus here is understanding that a variable is just a symbol that can represent different values in an expression. |
| How to evaluate an expression with variables: | Learn how to evaluate an expression with variables using a technique called substitution (or "plugging in"). |
| Linear Equations in One Variable: | This lesson introduces students to linear equations in one variable, shows how to solve them using addition, subtraction, multiplication, and division properties of equalities, and allows students to determine if a value is a solution, if there are infinitely many solutions, or no solution at all. The site contains an explanation of equations and linear equations, how to solve equations in general, and a strategy for solving linear equations. The lesson also explains contradiction (an equation with no solution) and identity (an equation with infinite solutions). There are five practice problems at the end for students to test their knowledge with links to answers and explanations of how those answers were found. Additional resources are also referenced. |
| Multiplying Fractions: | The video describes how to multiply fractions and state the answer in lowest terms. |
| Simple Equations: | Introduction to solving one variable multiplication equations of the form px = q. |
Vetted resources students can use to learn the concepts and skills in this topic.
| Title |
Description |
| Solving Equations: Same Variable, Both Sides, One Solution: | In this challenge game, you will be solving equations with variables on both sides. Each equation has a real solution. Use the "Teach Me" button to review content before the challenge. After the challenge, review the problems as needed. Try again to get all challenge questions right! Question sets vary with each game, so feel free to play the game multiple times as needed! Good luck! |
| Timed Algebra Quiz: | In this timed activity, students solve linear equations (one- and two-step) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. 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. |
| Algebra Four: | In this activity, two students play a simulated game of Connect Four, but in order to place a piece on the board, they must correctly solve an algebraic equation. This activity allows students to practice solving equations of varying difficulty: one-step, two-step, or quadratic equations and using the distributive property if desired. 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. |
| Title |
Description |
| Smiles: | In this online problem-solving challenge, students apply algebraic reasoning to determine the "costs" of individual types of faces from sums of frowns, smiles, and neutral faces. This page provides three pictorial problems involving solving systems of equations along with tips for thinking through the problem, the solution, and other similar problems. |
| Triangular Tables: | Students are asked to use a diagram or table to write an algebraic expression and use the expression to solve problems. |
| Anna in D.C.: | The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem. |
| Busy Day: | Students are asked to write and solve an equation in one variable to answer a real world question. |
| Firefighter Allocation: | In this task students are asked to write an equation to solve a real-world problem. |
| Fishing Adventures 1: | Students are asked to write and graph two inequalities described in context: one discrete and one continuous. |
| Log Ride: | Students are asked to solve an inequality in order to answer a real-world question. |
| Morning Walk: | Students are asked to write an equation with one variable in order to find the distance walked. |
| Title |
Description |
| How to Solve Equations of the Form ax = b: | Here's an introduction to basic algebraic equations of the form ax = b in this tutorial. |
| How to Solve One-Step Multiplication and Division Equations with Fractions and Decimals: | In this tutorial, we will solve equations in one step by multiplying or dividing a number on both sides. |
| How to Test Solutions to Inequalities: | Learn how to test if a certain value of a variable makes an inequality true in this tutorial. |
| How to Test Solutions to Equations Using Substitution: | Learn how to test if a certain value of a variable makes an equation true in this tutorial. |
| How to Represent a Relationship with a Simple Equation: | This video demonstrates how to write and solve a one-step addition equation. |
| Solving One-Step Equations Using Division: | To find the value of a variable, you have to get it on one side of the equation alone. To do that, you'll need to do something to BOTH sides of the equation. |
| Why to Divide on Both Sides of an Equation: | This video provides a conceptual explanation of why one needs to divide both sides of an equation to solve for a variable. |
| How to Write Basic Expressions with Variables: | Learn how to write basic algebraic expressions. |
| How to Represent Real-World Situations with Inequalities: | Learn how to write inequalities to model real-world situations. |
| How to Write Expressions with Variables: | Learn how to write simple algebraic expressions. |
| How to Write Basic Algebraic Expressions from Word Problems: | Learn how to write basic expressions with variables to portray situations described in word problems. |
| What is a Variable?: | The focus here is understanding that a variable is just a symbol that can represent different values in an expression. |
| How to evaluate an expression with variables: | Learn how to evaluate an expression with variables using a technique called substitution (or "plugging in"). |
| Linear Equations in One Variable: | This lesson introduces students to linear equations in one variable, shows how to solve them using addition, subtraction, multiplication, and division properties of equalities, and allows students to determine if a value is a solution, if there are infinitely many solutions, or no solution at all. The site contains an explanation of equations and linear equations, how to solve equations in general, and a strategy for solving linear equations. The lesson also explains contradiction (an equation with no solution) and identity (an equation with infinite solutions). There are five practice problems at the end for students to test their knowledge with links to answers and explanations of how those answers were found. Additional resources are also referenced. |
| Multiplying Fractions: | The video describes how to multiply fractions and state the answer in lowest terms. |
| Simple Equations: | Introduction to solving one variable multiplication equations of the form px = q. |
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
| Title |
Description |
| Smiles: | In this online problem-solving challenge, students apply algebraic reasoning to determine the "costs" of individual types of faces from sums of frowns, smiles, and neutral faces. This page provides three pictorial problems involving solving systems of equations along with tips for thinking through the problem, the solution, and other similar problems. |
| Triangular Tables: | Students are asked to use a diagram or table to write an algebraic expression and use the expression to solve problems. |
| Anna in D.C.: | The purpose of this task is to give students an opportunity to solve a challenging multistep percentage problem that can be approached in several different ways. Students are asked to find the cost of a meal before tax and tip when given the total cost of the meal. The task can illustrate multiple standards depending on the prior knowledge of the students and the approach used to solve the problem. |
| Busy Day: | Students are asked to write and solve an equation in one variable to answer a real world question. |
| Firefighter Allocation: | In this task students are asked to write an equation to solve a real-world problem. |
| Fishing Adventures 1: | Students are asked to write and graph two inequalities described in context: one discrete and one continuous. |
| Log Ride: | Students are asked to solve an inequality in order to answer a real-world question. |
| Morning Walk: | Students are asked to write an equation with one variable in order to find the distance walked. |
