MA19.8A.6

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.6
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

Unpacked Content

Knowledge

Students know:

The vertex form of a quadratic expression asf (x) = a(x
h)² + k, where (h, k) is the vertex of the parabola.
Techniques for generating equivalent forms of an algebraic expression including factoring and completing the square for quadratic expressions and using properties of exponents,
When one form of an algebraic expression is more useful than an equivalent form of that same expression to solve a given problem.

Skills

Students are able to:

Use algebraic properties including properties of exponents to produce equivalent forms of the same expression by recognizing underlying mathematical structures,
Factor quadratic expressions with leading coefficient of one
Complete the square in quadratic expressions.

Understanding

Students understand that:

An expression may be written in various equivalent forms.
Some forms of the expression are more beneficial for revealing key properties of the function.

Vocabulary

Function
zero of a function
Roots
parabola
vertex form of a quadratic expression
Minimum and maximum value
Axis of symmetry
Completing the square
Exponential growth and decay

Aligned Learning Resources

Equivalent Expressions Using Exponents

Solving Quadratic Equations With the Zero Product Property: Algebra 1, Episode 13: Unit 7, Lesson 4 | Illustrative Math

Rewriting Quadratic Expressions in Factored Form (Part 1): Algebra 1, Episode 15: Unit 7, Lesson 6 | Illustrative Math

Rewriting Quadratic Expressions in Factored Form (Part 2): Algebra 1, Episode 16: Unit 7, Lesson 7 | Illustrative Math

Rewriting Quadratic Expressions in Factored Form (Part 3): Algebra 1, Episode 17: Unit 7, Lesson 8 | Illustrative Math

Solving Quadratic Equations by Using Factored Form: Algebra 1, Episode 18: Unit 7, Lesson 9 | Illustrative Math

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