Big Idea 3: BIG IDEA 3Archived

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Develop an understanding of operations on all rational numbers and solving linear equations.
General Information
Number: MA.7.A.3
Title: BIG IDEA 3
Type: Big Idea
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 7
Body of Knowledge: Algebra

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.7.A.3.In.a
Solve number sentences (equations) involving addition and subtraction of numbers to 500 .
MA.7.A.3.In.b
Solve number sentences involving multiplication and division facts.
MA.7.A.3.In.c
Translate real-world problem situations into number sentences (equations) involving addition and subtraction of two-digit numbers using a problem solving strategy.
MA.7.A.3.In.d
Use the property of equality as a strategy to solve real-world problems.

Supported

MA.7.A.3.Su.a
Add and subtract one-digit and two-digit number sentences (equations).
MA.7.A.3.Su.b
Solve problems that involve combining (multiplying) or separating (dividing) equal sets with quantities to 50 using objects and pictures with numerals.
MA.7.A.3.Su.c
Write and solve number sentences (equations) that correspond to real-world problem situations involving addition and subtraction with one-digit and two-digit numbers.
MA.7.A.3.Su.d
Use physical models to solve simple problems to demonstrate the concept of equality.

Participatory

MA.7.A.3.Pa.a
Solve simple problems involving joining or separating sets of objects to 7.
MA.7.A.3.Pa.b
Solve simple problems involving small quantities using language, such as more, less, same, larger, smaller, and none.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Educational Game

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.

Type: Educational Game

Formative Assessment

Using Positive and Negative Numbers in Context:

This lesson unit is intended to help you assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the structures:

  • starting temperature + change in temperature = final temperature
  • final temperature – change in temperature = starting temperature
  • final temperature – starting temperature = change in temperature

Type: Formative Assessment

Lesson Plans

Pricing Twelve Days of Celebration:

Students will discover how much items would cost if they were to give gifts for 12 days. They will learn how to calculate and add sales tax to find a total.

Type: Lesson Plan

Wallpaper Woes Money Math: Lessons for Life:

Students hear a story about a middle-school student who wants to redecorate his bedroom. They measure the classroom wall dimensions, draw a scale model, and incorporate measurements for windows and doors to determine the area that could be covered by wallpaper. Students then hear more about the student's redecorating adventure and learn about expenses, budget constraints, and tradeoffs.

Type: Lesson Plan

Discovering Integer Addition Rules by Hand:

In this lesson students will use physical and digital manipulatives to help them discover patterns when adding positive and negative integers.

Type: Lesson Plan

Teaching Idea

What's Your Sign: Integer Addition:

This video offers a quick and easy way for math students to add numbers with positive and negative signs by modelling with colored stickers. The teacher used red stickers for negative numbers, orange as a neutral, and green for positives in order to give the students a visual learning tool to help tackle the world of integer addition.

Type: Teaching Idea

Tutorials

Adding Integers:

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.

Type: Tutorial

Solving Equations With the Variable on Both Sides.:

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Solving Equations with One Variable :

This Khan Academy presentation models solving two-step equations with one variable.

Type: Tutorial

Simple Equations:

Introduction to solving one variable multiplication equations of the form px = q.

Type: Tutorial

Student Resources

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

Educational Game

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.

Type: Educational Game

Tutorials

Adding Integers:

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.

Type: Tutorial

Solving Equations With the Variable on Both Sides.:

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Solving Equations with One Variable :

This Khan Academy presentation models solving two-step equations with one variable.

Type: Tutorial

Simple Equations:

Introduction to solving one variable multiplication equations of the form px = q.

Type: Tutorial

Parent Resources

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

Tutorials

Adding Integers:

Students will be able to see examples of addition of integers while watching a short video, and practice adding integers using an online quiz.

Type: Tutorial

Solving Equations With the Variable on Both Sides.:

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Simple Equations:

Introduction to solving one variable multiplication equations of the form px = q.

Type: Tutorial