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

CCSS.Math.Content.HSA.SSE.B.3.b - 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.3.c - Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t = 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

 
Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.HSA.SSE.B.3 Choose And Produce An Equivalent Form Of An Expression To Reveal... Seeing Structure in Expressions - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

Copyright Date: 2010

(Page last edited 10/08/2017)

1. Algebra review - Properties of exponents
2. Complete the Square - Algebra 1 - Fill in the number that makes the polynomial a perfect-square quadratic. An on-screen form is provided for the student to provide the missing term to complete a perfect-square quadratic. New problems are provided after each answer and score is kept over a timed interval. Explanation of wrong answers are provided.
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4. Completing the square - Completing the square: Algebra I level
5. Completing the square - Example 3: Completing the square
6. Completing the square - Example 2: Completing the square
7. Completing the square (old school) - Solving a quadratic by completing the square.
8. Complex roots for a quadratic - Complex Roots from the Quadratic Formula
9. Division with Exponents - Simplify. Express your answer using positive exponents. To divide powers with the same base, subtract their exponents.
10. Equivalent forms of expressions - Multiple choice practice quiz
11. Equivalent forms of expressions - Video lesson
12. Example 4: Applying the quadratic formula - Application Problem with Quadratic Formula
13. Example 4: Completing the square - Completing the Square 4
14. Examples: Factoring simple quadratics - A few examples of factoring quadratics
15. Exponential and logarithmic functions - Match exponential functions and graphs
16. Exponential and logarithmic functions - Solve exponential equations using factoring
17. Exponential and logarithmic functions - Evaluate exponential functions
18. Exponential functions - Match exponential functions and graphs
19. Exponential functions - Evaluate an exponential function
20. Exponential Growth Functions - Exponential Growth Functions
21. Exponents - Multiplication and division with exponents
22. Exponents - Simplify expressions involving exponents
23. Exponents: Power Rule - Power rule
24. Factoring - Factor quadratics
25. Factoring - Factor quadratics: special cases
26. Factoring - Factor quadratics with leading coefficient 1
27. Factoring Quadratic Expressions - Example of factoring quadratic expressions
28. Factoring Quadratic Expressions - Factoring Quadratic Expressions
29. Factoring Quadratics - Factor quadratics with other leading coefficients
30. Factoring Quadratics - Algebra I: Factoring Quadratics
31. Graphing Exponential Functions - Example of Graphing Exponential Functions
32. How to use the Quadratic Formula - Introduction to using the quadratic formula.
33. Multiplication of Exponents - To multiply powers with the same base, add their exponents.
34. Negative Exponents - Write the expression as a whole number with a negative exponent. Do not evaluate the expression.
35. Parabolas - Convert equations of parabolas from general to vertex form
36. Proof of Quadratic Formula - Proof of Quadratic Formula: completing the square
37. Properties of Parabolas - Find properties of a parabola from equations in general form
38. Quadratic Equation - Algebra I: Quadratic Equation
39. Quadratic Equation part 2 - 2 more examples of solving equations using the quadratic equation
40. Quadratic equations - Solve a quadratic equation by factoring
41. Quadratic Formula (proof) - Deriving the quadratic formula by completing the square.
42. Quadratic formula with complex solutions - Multiple choice practice quiz
43. Quadratic functions - Solve a quadratic equation by factoring
44. Quadratics and Shifts - Solving quadratics and graph shifts
45. Rational exponents - Power rule
46. Rational exponents - Division with rational exponents
47. Rational exponents - Evaluate rational exponents
48. Rational exponents - Multiplication with rational exponents
49. Rational exponents - Simplify expressions involving rational exponents II
50. Rational exponents - Simplify expressions involving rational exponents I
51. Rational functions and expressions - Simplify rational expressions
52. Solutions to quadratic equations - Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex
53. Solving Exponential Growth and Decay - Word Problems about Solving Exponential Growth and Decay
54. Subtracting Rational Expressions - Video lesson on Subtracting Rational Expressions