ALEX Classroom Resource

  

Grade 8 Mathematics Module 4, Topic A: Writing and Solving Linear Equations

  Classroom Resource Information  

Title:

 Grade 8 Mathematics Module 4, Topic A: Writing and Solving Linear Equations

URL:

 https://www.engageny.org/resource/grade-8-mathematics-module-4-topic-overview

Content Source:

 EngageNY
Type: Lesson/Unit Plan

Overview:

In Module 4, Topic A, students begin by transcribing written statements using symbolic notation.  Then, students write linear and non-linear expressions leading to linear equations, which are solved using properties of equality (8.EE.C.7b). Students learn that not every linear equation has a solution. In doing so, students learn how to transform given equations into simpler forms until an equivalent equation results in a unique solution, no solution, or infinitely many solutions (8.EE.C.7a). Throughout Topic A students must write and solve linear equations in real-world and mathematical situations.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 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.

a. Determine whether linear equations in one variable have one solution, no solution, or infinitely many solutions of the form x = a, a = a, or a = b (where a and b are different numbers).

b. Represent and solve real-world and mathematical problems with equations and interpret each solution in the context of the problem.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Recognize and explain when linear equations have one solution, infinitely many solutions, or no solution with and without completing the solving process.
  • Solve one variable equation with the same variable on both sides and require use of the distributive property.
  • Analyze and explain solutions in the context of a real-world problem.
Teacher 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.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.8.11.1: Define linear equation, coefficient, distributive property and variable.
M.8.11.2: Recall how to solve equations for a missing variable.
M.8.11.3: Recall properties of operation for addition and multiplication.
M.8.11.4: Solve multi-step equations.
M.8.11.5: Identify properties of operations.

a.
M.8.11.6: Identify how many solutions the linear equation may or may not have.
M.8.11.7: Recall how to solve equations by using substitution.

b.
M.8.11.8: Create an equation to represent a real-world situation or mathematical problem.
M.8.11.9: Analyze the solution in context of a real-world problem.

Prior Knowledge Skills:
  • Recognize properties of numbers (Distributive, Associative, Commutative).
  • Define equation, inequality, and variable.
  • Set up equations and inequalities to represent the given situation, using correct mathematical operations and variables.
  • Calculate a solution or solution set by combining like terms, isolating the variable, and/or using inverse operations.
  • Test the found number or number set for accuracy by substitution.
  • Recall solving one step equations and inequalities.
  • Recognize properties of numbers (Distributive, Associative, Commutative).
  • Define equation and variable.
  • Set up an equation to represent the given situation, using correct mathematical operations and variables.
  • Calculate a solution to an equation by combining like terms, isolating the variable, and/or using inverse operations.
  • Test the found number for accuracy by substitution.

  • Example: Is 5 an accurate solution of 2(x + 5)=12 .
  • Identify the unknown, in a given situation, as the variable.
  • List given information from the problem.
Tags: equality, equivalent, expressions, linear equations, solution, variable
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Comments

There are nine lessons in this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. 

  This resource provided by:  
Author: Hannah Bradley
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