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A-SSE.A.2: I can use the structure of an expression to identify ways to rewrite it.

Factoring Unit 2 Day 4 review from algebra 1-2. A-SSE.A.2: I can use the structure of an expression to identify ways to rewrite it. Today I will learn to recognize the unique structure of an expression and

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A-SSE.A.2: I can use the structure of an expression to identify ways to rewrite it.

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  1. Factoring Unit 2 Day 4review from algebra 1-2

  2. A-SSE.A.2: I can use the structure of an expression to identify ways to rewrite it.

  3. Today I will learn to recognize the unique structure of an expression and rewrite it by factoring form.

  4. Factoring a Trinomial using the Bottoms Up Method

  5. Guided practice Example 1

  6. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. In this problem no common terms exist. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number. Remember if the # is negative, you will have to look at each set with one number positive and one number negative.

  7. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  8. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. EQUATION WRITTEN IN FACTORED FORM

  9. Guided practice Example 2

  10. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number.

  11. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  12. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. FACTORED FORM FACTORED FORM

  13. Guided practice – Thinking mapExample 3

  14. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number.

  15. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  16. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. FACTORED FORM FACTORED FORM

  17. INDIVIDUAL practiceExample 4

  18. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number.

  19. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  20. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. FACTORED FORM FACTORED FORM

  21. Factoring Monomials First

  22. Guided practiceExample 5

  23. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number.

  24. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  25. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. FACTORED FORM FACTORED FORM

  26. Guided practiceExample 6

  27. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number.

  28. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  29. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. FACTORED FORM FACTORED FORM

  30. INDIVIDUAL practiceExample 7

  31. Bottoms Up Method for Factoring Trinomial Expressions Factoring & Solving Quadratic Equations Step 1: Factor out any common terms. Step 2: Multiply the “a” and “c” Step 3: Look for all pairs of factor for this number.

  32. Step 4: Choose the pair of factors that will equal the “b” term. Step 5: Use this pair to write preliminary factors. Step 6: Divide each pair, selected in step 4, by the leading coefficient, “a” term. Step 7: If possible, reduce the fractions into an integer.

  33. Step 8: If the fraction does not divide evenly, resulting in an integer, then pull divisor up to be the leading coefficient for the x term. FACTORED FORM FACTORED FORM

  34. Checking for understanding… How is factoring polynomials related to multiplication of polynomials?

  35. Checking for understanding… What characteristic would determine if a trinomial could not be factored?

  36. Spiral review

  37. Question #1 Write a explicit formula for the sequence below.

  38. Question #1 Write a explicit formula for the sequence below.

  39. Question #2 If only one solution, x = 3, exists among two equations, then what is the value of r in the second equation?

  40. Question #2

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