Learning Goal
Part of: Write expressions in equivalent forms to solve problems — 1 of 2 cluster items
Choose equivalent forms to reveal properties
**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.
a. Factor a quadratic expression to reveal the zeros of the function it defines.
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as (1.15^(1/12))^12t ~= 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
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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.
a. Factor a quadratic expression to reveal the zeros of the function it defines.
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as (1.15^(1/12))^12t ~= 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
What you'll learn
- Factor a quadratic expression to reveal the zeros (x-intercepts) of the function it defines, and interpret those zeros in context
- Complete the square in a quadratic expression to produce vertex form, and identify the maximum or minimum value of the associated function
- Use properties of exponents to transform exponential expressions, such as converting an annual growth rate to an equivalent monthly rate
- Choose which form of an expression to produce based on what property needs to be revealed -- zeros, vertex, or rate of change
- Explain what each equivalent form reveals and why different forms serve different analytical purposes
Prerequisites
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 2 task-setss