Curriculum / Math / 9th Grade / Unit 3: Linear Expressions & Single-Variable Equations/Inequalities / Lesson 3
Math
Unit 3
9th Grade
Lesson 3 of 12
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Lesson Notes
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Solve single-variable linear equations using properties of equality.
The core standards covered in this lesson
A.REI.A.1 — Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
A.REI.B.3 — Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
The foundational standards covered in this lesson
8.EE.C.7.B — Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
A misconception students may continue to have is incorrectly operating with fraction coefficients and constants while solving an equation.
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Solve the following equation.
$${3x-[8-3(x-1)] = x + 19}$$
Solve the following equation:
$${\frac{1}{2} (x-6)-2(3-2x)=6-2(4x+1)}$$
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
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
5-10 minutes
Solve the equations for $$x$$. For each step, describe the properties of operations and/or the properties of equality used to transform and solve the equation.Â
a. Â Â Â $$5(2x-4)-11=4+3x$$
Â
b. Â Â Â $$\frac{1}{4}(8x+3)-5=x-5$$
c. Â Â Â $$3-\frac{1}{2} x-8(3x-2)=10$$
d. Â Â Â $$3x+2-4(2x+3)=12$$
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.
Next
Solve equations with a variable in the denominator.
Topic A: Properties and Solutions of Single-Variable Linear Expressions and Equations
Identify properties of operations that result in equivalent linear expressions.
Standards
A.REI.A.1A.SSE.A.1A.SSE.A.2
Use properties of equations to analyze and write equivalent equations.
A.REI.A.1
A.REI.A.1A.REI.B.3
A.REI.B.3F.IF.A.1
Solve for a variable in an equation or formula.
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.2A.CED.A.4F.BF.A.1F.IF.B.5N.Q.A.1
Define variables; write and solve equations to represent a contextual situation.
A.CED.A.1A.CED.A.2A.CED.A.4F.BF.A.1F.IF.B.5N.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.3A.REI.A.1A.REI.B.3A.SSE.B.3
Write and graph compound single-variable inequalities to describe the solution to contextual and non-contextual situations.
A.CED.A.3A.REI.B.3
Solve and graph compound inequalities where algebraic manipulation is necessary in contextual and non-contextual situations.
A.CED.A.3A.REI.A.1A.REI.B.3
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