Over 30 pages of detailed strategies help students make sense of and solve complex problems. Lots of worksheets on solving proportions, multiplying binomials, factoring simple and complex polynomials, working with perfect square trinomials and the difference of two squares, combined work problems, and percent mixture problems. Additional activities help students struggling with simple multiplication learn strategies that will help bring them up to speed and transition smoothly into more advanced algebra problems. Detailed instructions, examples, and answer keys are included in this ready-to-teach package.
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.
Know and apply the Binomial Theorem for the expansion of (𝘹 + 𝘺)ⁿ in powers of 𝘹 and y for a positive integer 𝘯, where 𝘹 and 𝘺 are any numbers, with coefficients determined for example by Pascal’s Triangle.
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Factor a quadratic expression to reveal the zeros of the function it defines.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.