The Math Content Team has released new multiple choice, fill-in, and constructed response questions that are aligned to the Common Core. The questions in this content release are from multiple domains and conceptual categories. The following standards are included in the new content release:
- A.APR.3 – 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.
- F.BF.4 – Find inverse functions.
- F.IF.9 – Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
- G.SRT.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
- S.CP.1 – Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).
- S.CP.2 – Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Sample tasks that students are asked to complete:
- Find the inverse of a function and use it to solve a problem.
- Use similarity criteria for triangles to find the ratio of corresponding sides.
- Compare properties of two functions each represented in a different way.
- Determine if two events are independent.
- Use zeros to construct a rough graph of a function.
Let us know what you think of the questions!