CCSS.Math.Content.HSA-SSE.B

CCSS.Math.Content.HSA-SSE.B is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.HSA-SSE.B.3

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

• CCSS.Math.Content.HSA-SSE.B.3a

  Factor a quadratic expression to reveal the zeros of the function it defines.

• CCSS.Math.Content.HSA-SSE.B.3b

  Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

• CCSS.Math.Content.HSA-SSE.B.3c

  Use the properties of exponents to transform expressions for exponential functions.

• CCSS.Math.Content.HSA-SSE.B.4

  Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.

01

What Students Need to Do

Students transform algebraic expressions without changing their values. They factor, expand, complete the square, and use exponent rules to reveal zeros, maximum values, rates, or repeated growth.

02

What Mastery Looks Like

A student chooses a form that makes the needed information easy to find. The student rewrites accurately, solves the problem, and explains why the new form is equivalent and useful.

03

Common Misconceptions

Students may think a rewritten expression can have a different value from the original. Common errors include sign mistakes when factoring, incorrect exponent rules, and confusing zeros with coefficients.

04

How to Assess It

Exit ticket: A ball’s height is h(t) = -16t² + 64t + 80. Rewrite h(t) in factored form, find when the ball hits the ground, and explain why that form helps.

1. 01

   Use algebra tiles to build x² + 7x + 12, rearrange them into a rectangle, and record the factored form.

2. 02

   Compare 2(x - 3)(x + 1), 2x² - 4x - 6, and 2(x - 1)² - 8, then write what each form reveals.

3. 03

   Play a card-matching game with expanded, factored, and completed-square forms, requiring students to verify each match by calculation.

4. 04

   Give a projectile height formula and have students rewrite it to find the launch height, maximum height, and landing time.

• CCSS.Math.Content.7.EE.A.2

  Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

• CCSS.Math.Content.5.OA.A.2

  Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

• CCSS.Math.Content.6.EE.A.3

  Apply the properties of operations to generate equivalent expressions.

• CCSS.Math.Content.7.EE.A

  Use properties of operations to generate equivalent expressions.