Curriculum / Math / 8th Grade / Unit 2: Solving One-Variable Equations / Lesson 5
Math
Unit 2
8th Grade
Lesson 5 of 12
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Model with equations using a three-act task.
The core standards covered in this lesson
8.EE.C.7 — Solve linear equations in one variable.
The foundational standards covered in this lesson
7.EE.B.4 — Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Act 1: Watch "Wall Pictures - Act 1"
What do you notice? What do you wonder?
Wall Pictures by Andrew Stadel is made available on 101Questions under the CC BY 3.0 license. Accessed Aug. 31, 2017, 1:17 p.m..
Act 2: Look at the pdf document for Act 2.
What should be the spacing between the pictures?
Act 3: Watch the video "Wall Pictures-Act 3" for the answer.
Was your answer reasonable? Why or why not?
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
You want to put up 25 pictures using the same spacing found earlier; however, these pictures have been rotated 90 degrees to be in a portrait orientation. How long of a wall, in feet, do you need?
How long of a wall would you need for $$n$$ pictures in portrait orientation using the same spacing?
An example response to the Target Task at the level of detail expected of the students.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 4
Lesson 6
Topic A: Simplifying Expressions and Verifying Solutions
Write equivalent expressions using properties of operations and verify equivalence using substitution.
8.EE.C.7
Define a solution to an equation. Solve and check solutions to 1 and 2 step equations.
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Topic B: Analyzing and Solving Equations in One Variable
Justify each step in solving a multi-step equation with variables on one side of the equation.
8.EE.C.7.A 8.EE.C.7.B
Write and solve multi-step equations to represent situations, with variables on one side of the equation.
8.EE.C.7.B
Solve equations with variables on both sides of the equal sign.
Write and solve multi-step equations to represent situations, including variables on both sides of the equation.
Understand that equations can have no solutions, infinite solutions, or a unique solution; classify equations by their solution.
8.EE.C.7.A
Solve and reason with equations with three types of solutions.
Use equations to model a business plan and determine the break-even point.
Topic C: Analyzing and Solving Inequalities in One Variable
Solve and graph inequalities with variables on one side of the inequality (optional).
A.REI.B.3
Solve and graph inequalities with variables on both sides of the inequality (optional).
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