Develop an understanding of operations on all rational numbers and solving linear equations.
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
| Code |
Description |
| MA.7.A.3.1: | Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers. |
| MA.7.A.3.2: | Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts. |
| MA.7.A.3.3: | Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients. |
| MA.7.A.3.4: | Use the properties of equality to represent an equation in a different way and to show that two equations are equivalent in a given context. |
Related Access Points
This cluster includes the following access points.
Independent
| Access Point Number |
Access Point Title |
| 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
| Access Point Number |
Access Point Title |
| 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
| Access Point Number |
Access Point Title |
| 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
| Name |
Description |
| 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. |
Formative Assessment
| Name |
Description |
| 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
|
Lesson Plans
| Name |
Description |
| 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. |
| 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. |
| 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. |
Teaching Idea
| Name |
Description |
| 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. |
Tutorials
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Educational Game
| Title |
Description |
| 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. |
Tutorials
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Tutorials
| Title |
Description |
| 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. |
| 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. |
| Simple Equations: | Introduction to solving one variable multiplication equations of the form px = q. |
