This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This 7th grade Math parent guide explains the content in straightforward terms so they can support their children’s learning at home and will encourage caretaker engagement with lessons.

Our Teacher Guides are meant to support the use of our online course and unit content. Please use these to accompany the use of our content and for ideas to support struggling learners, those needing extension and for additional resources.

CK-12 Middle School Math Concepts for seventh grade provides a complete textbook. It presents topics including algebraic thinking, patterns, decimals, decimal operations, fractions, fraction operations, integers, integer operations, ratios, rates, proportions, percents, percent applications, equations, solving equations, inequalities, functions, graphing functions, geometry, plane geometry, solid geometry, area, perimeter, surface area, volume, statistics including mean, median, mode and range, graphing and types of graphs, and probability.

In this lesson, students recognize that division is the reverse process of multiplication, and that integers can be divided provided the divisor is not zero. If p and q are integers, then - (p/q) = -p/q = p/-q . Students understand that every quotient of integers (with a non-zero divisor) is a rational number and divide signed numbers by dividing their absolute values to get the absolute value of the quotient. The quotient is positive if the divisor and dividend have the same signs and negative if they have opposite signs.

This short video and interactive assessment activity is designed to teach fifth graders about finding the reciprocal of fractions.

Students will use an Integer Card Game that creates a conceptual understanding of integer operations and serves as a mental model students can rely on during the module. They will build on their understanding of rational numbers to add, subtract, multiply, and divide signed numbers.

Students do work by lifting a known mass over a period of time. The mass and measured distance and time is used to calculate force, work, energy and power in metric units. The students' power is then compared to horse power and the power required to light 60-watt light bulbs.

For this interactive, students compete against the computer by multiplying rational numbers to race to the finish line.

In this lesson, students practice and justify their understanding of multiplication of integers by using the Integer Game. Students explain that multiplying by a positive integer is repeated addition and that adding a number multiple times has the same effect as removing the opposite value the same number of times (e.g., 5 x 3 = (- 5) x (- 3) and 5 x (-3) = (-5) x 3.) Students use the properties and facts of operations to extend multiplication of whole numbers to multiplication of integers

In this lesson, students understand that the context of a real-life situation often determines whether a rational number should be represented as a fraction or decimal. Students understand that decimals specify points on the number line by repeatedly subdividing intervals into tenths (deci- means one-tenth). Students convert positive decimals to fractions and fractions to decimals when the denominator is a product of only factors of 2 and/or 5.

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 7th Grade Math.

In this lesson, students understand the rules for multiplication of integers and that multiplying the absolute values of integers results in the absolute value of the product. The sign, or absolute value, of the product is positive if the factors have the same sign and negative if they have opposite signs. Students realize that (-1)(-1) = (1) and see that it can be proven to be true mathematically through the use of the distributive property and the additive inverse. Students use the rules for multiplication of signed numbers and give real-world examples.

In this lesson, students use number lines to represent products of a negative integer and a positive integer, and they use patterns to understand products of two negative integers. Students write rules for products of integers.

The purpose of this task is for students to understand the reason it makes sense for the product of two negative numbers to be positive.