Curriculum / Math / 9th Grade / Unit 7: Quadratic Functions and Solutions / Lesson 7
Math
Unit 7
9th Grade
Lesson 7 of 13
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Lesson Notes
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Factor quadratic equations and identify solutions (when leading coefficient does not equal 1).
The core standards covered in this lesson
A.SSE.A.1.A — Interpret parts of an expression, such as terms, factors, and coefficients.
A.SSE.B.3.A — Factor a quadratic expression to reveal the zeros of the function it defines.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Factor the expression completely.
$${3x^3+6x^2-24x}$$
Factor each expression below to rewrite it as a product of two linear binomials.
a. $${5x^2+21x+4}$$
b. $${5x^2+9x+4}$$
c. $${6x^2+x-15}$$
d. $${6x^2-21x-12}$$
Solve by factoring: $${-10x^2-17x-3=0}$$
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
Factor each trinomial. Check your answer for each one.
a.  $${5x^2+17x+6}$$
b.  $${2x^2+2x-12}$$
c.  $${6x^2-23x+7}$$
d.  $${-x^2-8x+20}$$
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
Factor special cases of quadratic equations—difference of two squares.
Topic A: Features of Quadratic Functions
Compare quadratic, exponential, and linear functions represented as graphs, tables, and equations.
Standards
F.IF.B.4F.LE.A.2
Identify key features of a quadratic function represented graphically. Graph a quadratic function from a table of values.
F.IF.B.4F.IF.C.7.A
Calculate and compare the average rate of change for linear, exponential, and quadratic functions.
F.IF.B.4F.IF.B.6F.LE.A.3
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Topic B: Factoring and Solutions of Quadratic Equations
Factor quadratic expressions using the greatest common factor. Demonstrate equivalence between expressions by multiplying polynomials.
A.APR.A.1A.SSE.A.2A.SSE.B.3.A
Identify solutions to quadratic equations using the zero product property (equations written in intercept form).
A.APR.B.3F.IF.C.8.A
Factor quadratic equations and identify solutions (when leading coefficient is equal to 1).
A.SSE.A.1.AA.SSE.B.3.A
A.SSE.A.1.AA.SSE.A.2A.SSE.B.3.A
Factor special cases of quadratic equations—perfect square trinomials.
A.SSE.A.2A.SSE.B.3.A
Solve quadratic equations by factoring. Compare solutions in different representations (graph, equation, and table).
A.SSE.B.3.AF.IF.C.8.AF.IF.C.9
Solve quadratic equations by taking square roots.
A.REI.B.4.B
Graph quadratic functions using $${x-}$$intercepts and vertex.
A.APR.B.3F.IF.B.4F.IF.C.7.AF.IF.C.8.A
Topic C: Interpreting Solutions of Quadratic Functions in Context
Interpret quadratic solutions in context.
A.CED.A.1F.IF.B.4F.IF.B.5F.IF.C.8.A
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