Combining Like Terms (Part 3)

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

7, 8

Overview

In this video lesson, students have an opportunity to demonstrate fluency in combining like terms. They also look for and make use of structure (MP7) to apply the distributive property in more sophisticated ways.

Mathematics (2019) Grade(s): 7

MA19.7.8

Solve multi-step real-world and mathematical problems involving rational numbers (integers, signed fractions and decimals), converting between forms as needed. Assess the reasonableness of answers using mental computation and estimation strategies.

UP:MA19.7.8

Vocabulary

  • Rational numbers
  • Integers
  • Estimation

Knowledge

Students know:
  • techniques for converting between fractions, decimals, and percents.
  • Techniques for estimation, mental computations, and how to assess the reasonableness of their answers.

Skills

Students are able to:
  • convert between different forms of a rational number.
  • Add, subtract, multiply and divide rational numbers.-translate verbal forms of problems into algebraic symbols, expressions, and equations.
  • Use estimation and mental computation techniques to assess the reasonableness of their answers.

Understanding

Students understand that:
  • One form of a number may be more advantageous than another form, based on the problem context.
  • Using estimation strategies helps to determine the reasonableness of answers.
Mathematics (2019) Grade(s): 8

MA19.8.11

Solve multi-step linear equations in one variable, including rational number coefficients, and equations that require using the distributive property and combining like terms.

UP:MA19.8.11

Vocabulary

  • one solution
  • no solution
  • Infinitely many solutions
  • like terms
  • Distributive property

Knowledge

Students know:
  • how to solve one and two step equations with one variable.
  • Write linear equations given real-world contexts.
  • That a solution to an equation can represent a real-world quantity.

Skills

Students are able to:
  • apply the distributive property and combine like terms to simplify an equation.
  • Recognize a solution as representing one solution, no solution, or infinite solutions.
  • Analyze and solve a real-world problem and write an appropriate equation for it that leads to a solution that can be explained within the context of the problem.

Understanding

Students understand that:
  • equations can now have more than one solution in given real-world scenarios.
  • The distributive property and combining like terms are essential to simplifying an equation. therefore making it easier to solve.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
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