Suitable for Grades: Algebra I, IM 1
CCSS: HSA.APR.D.6, HSA.SSE.B.3
CCSS Description: Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
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 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%
Perfect for learners needing more practice or a variation in their practice, these multiplication pyramids are completed by finding the product of two adjacent bricks, the answer then goes in the brick above. Pyramids are made up of six or 10 bricks and will be completed using multiplication and division of terms.
The worksheet consists of terms involving up to 3 variables, with various coefficients and indices. Students will be working with the multiplication and division index law throughout.
See Algebra Multiplication Pyramids (A) if your learners need to practice just the multiplication of terms.