Curriculum / Math / 9th Grade / Unit 3: Linear Expressions & Single-Variable Equations/Inequalities / Lesson 5
Math
Unit 3
9th Grade
Lesson 5 of 12
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Solve for a variable in an equation or formula.
The core standards covered in this lesson
A.CED.A.4 — Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm's law V = IR to highlight resistance R.
The foundational standards covered in this lesson
8.EE.C.7 — Solve linear equations in one variable.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This lesson will prepare students to fully access the standard A-CED.4, which necessitates a modeling context. This standard will be fully covered over the course of this unit.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Solve the following three equations for $$x$$.
$$2x+6=10$$ $$ax+6=10$$ $$ax+b=c$$
The perimeter formula for a rectangle is $${p=2(l+w)}$$, where $$p$$ represents the perimeter, $$l$$ represents the length, and $$w$$ represents the width.
Calculate $$l$$ when $$p=70$$ units and $$ w=15$$ units.
Solve the problem in two ways:
Algebra I > Module 1 > Topic C > Lesson 19 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Below is a rectangle with dimensions $$b$$ and $$h$$ and a right triangle with a height of $$h$$ and a base $$b$$. The combined area is 80 square inches.
Write an equation that solves for $$b$$ in terms of $$h$$.
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
Solve for $$x$$. Identify any domain restrictions.
$$\frac{ax+b}{c}-d=e$$
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: Properties and Solutions of Single-Variable Linear Expressions and Equations
Identify properties of operations that result in equivalent linear expressions.
A.REI.A.1 A.SSE.A.1 A.SSE.A.2
Use properties of equations to analyze and write equivalent equations.
A.REI.A.1
Solve single-variable linear equations using properties of equality.
A.REI.A.1 A.REI.B.3
Solve equations with a variable in the denominator.
A.REI.B.3 F.IF.A.1
A.CED.A.4
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Topic B: Modeling with Single-Variable Linear Equations
Write equations using defined variables to represent a contextual situation.
A.CED.A.2 A.CED.A.4 F.BF.A.1 F.IF.B.5 N.Q.A.1
Define variables; write and solve equations to represent a contextual situation.
A.CED.A.1 A.CED.A.2 A.CED.A.4 F.BF.A.1 F.IF.B.5 N.Q.A.1
Write and solve equations to represent contextual situations where estimations and unit conversions are required.
2 days
Model a contextual situation and make an informed decision based on the model.
Topic C: Properties and Solutions of Single-Variable Linear Inequalities
Solve unbounded single-variable inequalities in contextual and non-contextual situations.
A.CED.A.3 A.REI.A.1 A.REI.B.3 A.SSE.B.3
Write and graph compound single-variable inequalities to describe the solution to contextual and non-contextual situations.
A.CED.A.3 A.REI.B.3
Solve and graph compound inequalities where algebraic manipulation is necessary in contextual and non-contextual situations.
A.CED.A.3 A.REI.A.1 A.REI.B.3
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