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.

The purpose of this task is to directly address a common misconception held by many students who are learning to solve equations. Because a frequent strategy for solving an equation with fractions is to multiply both sides by a common denominator (so all the coefficients are integers), students often forget why this is an "allowable" move in an equation and try to apply the same strategy when they see an expression.

In this beginner lesson (6th-7th grade), we practice the process of factoring simple, linear expressions.

In this lesson, students generate equivalent expressions using the fact that addition and multiplication can be done in any order (commutative property) and any grouping (associative property).

Students recognize how any order, any grouping can be applied in a subtraction problem by using additive inverse relationships (adding the opposite) to form a sum and likewise with division problems by using the multiplicative inverse relationships (multiplying by the reciprocal) to form a product.

Students recognize that any order does not apply to expressions mixing addition and multiplication, leading to the need to follow the order of operations.

In this lesson, students generate equivalent expressions using the fact that addition and multiplication can be done in any order (commutative property) and any grouping (associative property).
Students recognize how any order, any grouping can be applied in a subtraction problem by using additive inverse relationships (adding the opposite) to form a sum and likewise with division problems by using the multiplicative inverse relationships (multiplying by the reciprocal) to form a product.
Students recognize that “any order” does not apply for expressions mixing addition and multiplication, leading to the need to follow the order of operations.

Students will use linear equations to solve unknown angle problems and other problems presented within context to understand that solving algebraic equations is all about the numbers. They use the number line to understand the properties of inequality and recognize when to preserve the inequality and when to reverse the inequality when solving problems leading to inequalities. They also interpret solutions within the context of problems. Additionally, students extend their study of geometric figures and the relationships between them as they apply their work with expressions and equations to solve problems

In this assignment, students practice finding the GCF of different numbers and variables.

In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.

Recognize that area represents the product of two numbers and is additive.
Represent a multiplication problem as the area of a rectangle, proportionally or using generic area.
Develop and justify a strategy to determine the product of two multi-digit numbers by representing the product as an area or the sum of areas.

In this lesson, students will compute and solve problems using rational numbers. They will: multiply and divide rational numbers and solve real-world problems by multiplying and dividing rational numbers.

Develop and justify a method to use the area model to determine the product of a monomial and a binomial or the product of two binomials.
Factor an expression, including expressions containing a variable.
Recognize that area represents the product of two numbers and is additive.
Represent a multiplication problem as the area of a rectangle, proportionally or using generic area.
Develop and justify a strategy to determine the product of two multi-digit numbers by representing the product as an area or the sum of areas.

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 rewrite rational number expressions by collecting like terms and combining them by repeated use of the distributive property.

This lesson is intended to help you assess how well students are able to: ? Form and solve linear equations involving factorizing and using the distributive law. In particular, this unit aims to help you identify and assist students who have difficulties in: ? Using variables to represent quantities in a real-world or mathematical problem. ? Solving word problems leading to equations of the form px + q = r and p(x + q) = r.