The benchmark(s) of focus is the primary focus for student learning and instruction to be taught or reinforced and provides an intentional opportunity for students to work with that concept or skill.
MA.8.GR.1.1
Apply the Pythagorean Theorem to solve mathematical and real-world problems involving unknown side lengths in ...
Clarifications:
Clarification 1: Instruction includes exploring right triangles with natural-number side lengths to illustrate the Pythagorean Theorem.
Clarification 2: Within this benchmark, the expectation is to memorize the Pythagorean Theorem.
Clarification 3: Radicands are limited to whole numbers up to 225.
MA.8.GR.1.2
Apply the Pythagorean Theorem to solve mathematical and real-world problems involving the distance between two...
Clarifications:
Clarification 1: Instruction includes making connections between distance on the coordinate plane and right triangles.
Clarification 2: Within this benchmark, the expectation is to memorize the Pythagorean Theorem. It is not the expectation to use the distance formula.
Clarification 3: Radicands are limited to whole numbers up to 225.
Supporting benchmarks either make a connection or may help students achieve the focus benchmark(s) and increase students’ opportunities to make connections within the subject or to other subjects. The information included in this section is not a comprehensive list, and educators are encouraged to find other supporting benchmarks.
MA.7.NSO.1.1
Know and apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expre...
Clarifications:
Clarification 1: Instruction focuses on building the Laws of Exponents from specific examples. Refer to the K-12 Formulas (Appendix E) for the Laws of Exponents.
Clarification 2: Problems in the form
must result in a whole-number value for p.
MA.8.NSO.1.3
Extend previous understanding of the Laws of Exponents to include integer exponents. Apply the Laws of Exponen...