- Course type: Self-paced
- Available Lessons: 12
- Average Lesson Length: 8 min
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Watch a preview:chapter 1 / lesson 1What Is a Number Line?
Course SummaryIt's easy to make sure your number system curriculum meets Common Core standards with this helpful grade 7 math standards course. Use these short video and text lessons on rational numbers and integer operations to create engaging homework assignments, discussion questions and assessments.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
About the Course
Common Core State Standards for grade 7 math were developed by teachers, parents and members of the community as a way to assure that all students have mastered specific concepts appropriate to their grade levels. The lessons in this collection look at the number system and ensure that students are familiar with topics such as graphing rational numbers and performing many types of operations with integers and rational numbers. Concepts are presented through lively video lessons that feature concise and clear explanations, along with numerous examples of calculations. This collection's lessons cover concepts including:
- Number lines
- Comparing, ordering and graphing rational numbers
- Absolute value and opposite integers
- The additive inverse property
- Adding, subtracting, multiplying and dividing integers
- Distributing positive and negative signs
- Steps for performing long division with large numbers
- Arithmetic calculations with signed numbers
These lessons are created and taught by experts who understand what the Common Core State Standards require. Every lesson includes suggestions you can use to involve your students in learning these concepts. Multiple-choice lesson quizzes that link back to the videos let your students assess their learning and show you where to help them with additional review.
Number Line Diagrams (CCSS.Math.Content.7.NSA.1)
Standard: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
The lessons that discuss this standard explains how to use a number line to add and subtract rational numbers.
How Opposite Quantities Make 0 (CCSS.Math.Content.7.NSA.1A)
Standard: Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
This lesson shows students how opposite quantities on the number line can equal 0.
Additive Inverses (CCSS.Math.Content.7.NSA.1B)
Standard: Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Studying this lesson will help your students learn how direction on a number line can depict value.
Subtracting Rational Numbers (CCSS.Math.Content.7.NSA.1C)
Standard: Understand subtraction of rational numbers as adding the additive inverse, p - q = p+ (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
With this lesson, students can gain an understanding of how to subtract rational numbers.
Properties of Operations (CCSS.Math.Content.7.NSA.1D)
Standard: Apply properties of operations as strategies to add and subtract rational numbers.
These lessons explain how to add and subtract rational numbers and depict rational numbers on a number line.
Multiplying and Dividing Rational Numbers (CCSS.Math.Content.7.NSA.2)
Standard: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Use these lessons to help students understand how to multiply and divide integers.
The Distributive Property (CCSS.Math.Content.7.NSA.2A)
Standard: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
This lesson explains the distributive property and how to multiply signed numbers.
Division of Integers (CCSS.Math.Content.7.NSA.2B)
Standard: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
These lessons look at the rules for dividing integers and present examples.
Operation Properties for Multiplying and Dividing Rational Numbers (CCSS.Math.Content.7.NSA.2C)
Standard: Apply properties of operations as strategies to multiply and divide rational numbers.
Use these lessons to learn about multiplying and dividing rational numbers with the properties of operations.
Long Division (CCSS.Math.Content.7.NSA.2D)
Standard: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Your students can see the steps in performing long division with large numbers.
Real-World Problems (CCSS.Math.Content.7.NSA.3)
Standard: Solve real-world and mathematical problems involving the four operations with rational numbers.
Many of our lessons include examples and practice problems involving addition, subtraction, multiplication and division of rational numbers.
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