Curriculum / Math / 9th Grade / Unit 5: Functions and Transformations / Lesson 10
Math
Unit 5
9th Grade
Lesson 10 of 16
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Solve absolute value inequalities algebraically and verify graphically.
The core standards covered in this lesson
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 — Solve linear equations in one variable.
8.EE.C.8 — Analyze and solve pairs of simultaneous linear equations.
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
Solve the absolute value inequality algebraically. Verify your solution graphically.
$${|x-3|+2≥5}$$
Solve the inequalities.
a. $${|5x-15|-4<21}$$
b. $${{1\over3}|-4-2x|≥7}$$
A set of suggested resources or problem types that teachers can turn into a problem set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
a.  $${|x+2|-5≥8}$$
b.  $${-2 \left| {2\over3} x+4 \right| >-16}$$
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 9
Lesson 11
Topic A: Piecewise Functions
Write equations and graph linear relationships with different domains.
A.CED.A.1 A.CED.A.2 A.CED.A.3 F.IF.B.5 F.IF.C.7
Graph piecewise functions presented algebraically and write piecewise functions from graphs.
F.IF.A.2 F.IF.B.4 F.IF.C.7.B
Evaluate a piecewise function written algebraically, with and without context.
A.SSE.A.1.A F.IF.A.1 F.IF.A.2
Write and graph piecewise functions from contextual situations.
A.CED.A.2 A.CED.A.3 F.IF.B.5
Graph, evaluate, and write step functions, with and without context.
A.CED.A.3 F.IF.A.1 F.IF.C.7.B
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Topic B: Absolute Value Functions
Graph absolute value functions in the coordinate plane and identify domain and range.
F.BF.B.3 F.IF.B.4 F.IF.B.5 F.IF.C.7.B F.IF.C.9
Identify the solutions to an absolute value equation.
A.REI.A.1 A.REI.D.11
Solve absolute value equations algebraically and identify extraneous solutions.
A.REI.B.3
Identify the solution(s) to an absolute value inequality.
A.REI.A.1 A.REI.B.3 A.REI.D.11 F.IF.B.4 F.IF.C.7.B
Identify solutions to a system of absolute value and linear functions graphically and algebraically.
A.REI.A.1 A.REI.C.6 A.REI.D.11
Topic C: Function Transformations
Identify and describe vertical translations of functions.
F.BF.B.3 F.IF.B.4 F.IF.B.5
Identify and describe horizontal translations of functions.
F.BF.B.3 F.IF.B.5
Identify and describe vertical scaling of functions, including reflections over the $$x$$-axis.
Identify and describe horizontal scaling of functions, including reflections over the $$y$$-axis.
Apply transformations to functions.
F.BF.B.3
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