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Math 10 Chapter 3 Textbook Section 3.1: Multiples and Factors Key Terms Questions Factors Easy (level 1 and 2) Multiples GCF 1. Find the prime factors of a number. 2. Find the GCF and LCM of 2 or 3 numbers. 3. Simplify fractions (GCF) LCM Harder (level 2 and 3) Prime 4. Add or subtract fractions (use LCM) 5. Word problems (hint: Look for words like smallest, least, minimum for LCM. Look for words like greatest, largest, maximum for GCF.) What have we done Notes handout (3.1) Quiz 1 HW Probe 1 3.2: Perfect Squares, Perfect Cubes, and Their Roots Perfect Square Journal: Graphical Organizer Assignment Easy Notes handout (3.2) Perfect Cube Cube Root 1. 2. 3. 4. 5. Use prime factorization to find the square root (2 equal groupings) Use prime factorization to find the cube root (3 equal groupings) Determine if a number is a perfect square or cube using above methods. Determine the side length of a square (same as 1). Determine the side length of a cube (same as 2). Quiz 1 Journal: Graphical Organizer Assignment Hard 6. Finding square and cube roots with variables (x, y, etc). 3.3: Common Factors of a Polynomial Factoring Easy Notes handout (3.3) Expanding 1. Use algebra tiles to write the polynomial (area) 2. GCF of polynomials – factoring Ex: Factor 3x + 3 = 3(x + 1) HW Probe 3.3 Polynomial Monomial Binomial Trinomial 3. 4. 5. 6. Use Algebra tiles to factor out GCF (create equal groupings) Expanding with algebra tiles Area diagram Expanding using distributive property to check a factoring solution Assignment Ex: To check 3(x + 1) use distributive property to get 3x + 3. Distributive property Hard: 6. Factoring with variables for things like fractions and formula (page 156 Q17 and 18) 3.4: Modelling Trinomials as Binomial Products 1. Using algebra tiles to factor trinomials (make into rectangles) Side lengths = factor Area = polynomial 3.5: Polynomial Polynomials of the form Binomial x2 + bx + c Expanding Distributive property Factoring Area diagram 3.6: Polynomial Polynomials of the form Binomial ax2 + bx + c Expanding Distributive property Factoring 3.7: Polynomial Journal: Math Lab HW Probe: 3.4 Easy: Notes Handout 3.5 1. Expand a pair of binomials using distributive property (FOIL) or area diagram or algebra tile diagram 2. Factor a trinomial with a = 1 3. Check your factoring using expanding Assignment Harder 1. Rearrange the polynomial and then factor 2. Knowing when something can`t be factored 3. Find the GCF first and then factor Easy: Notes Handout 3.6 1. Use algebra tiles to expand and find the product (area) 2. Factor using algebra tiles (form a rectangle) 3. Check your factoring by expanding Assignment Harder: 1. Using decomposition to factor 2. Rearrange first or find GCF first and then use decomposition to factor 3. Knowing when something can`t be factored Easy: Notes (handwritten Multiplying Polynomials Expanding Simplifying Collect like terms Distributive property not handout) 1. Expand and simplify binomials and trinomials 2. Expand and simplify with more than one variable 3. Squaring a binomial HW Probe Harder: 1. Expanding pairs of binomials and then adding them Ex: (3y -2)(3-7y) + (2+x)2 2. 2. Expanding pairs of binomials and then adding them Ex: (3y -2)(3-7y) + (2+x)2 3. Finding volumes and surface areas (p. 187 questions 16, 17) 4. Multiplying 3 binomials together (p. 187 question 18, 19, 21) 3.8: Factor Factoring Special Decomposition Polynomials Perfect Squares Easy: 1. factoring perfect square trinomials 2. Factoring difference of perfect squares Harder: Difference (subtract) Trinomial 3. Factoring using decomposition with more than one variable Notes (handwritten)