NCPS Mathematics Unit Map — Grade 8 Parent Guide These mathematical practices are developed in each unit throughout the year: • Make sense of problems and persevere in solving them. • Reason abstractly and quantitatively. • Construct viable arguments and critique the reasoning of others. • Model with mathematics. • Use appropriate tools strategically. • Attend to precision. • Look for and make use of structure. • Look for and express regularity in repeated reasoning. Mathematical Unit Student Learning Expectations Unit 1 In unit 1 students will explore rational and irrational numbers. They will learn how to convert a rational number into a Real Number System and decimal and will use this knowledge to estimate the decimal value of an irrational number. Students will learn about Pythagorean Theorem square root and cube root symbols and evaluate simple, perfect square and cube roots. Students will then use square roots when applying the Pythagorean Theorem to find triangle side lengths or distances between points on a coordinate plane. Students will: 0 know that numbers that are not rational are called irrational and understand that every number has a decimal expansion. 0 convert between rational numbers and decimals (identifying when decimals repeat) 0 use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions 0 explain a proof of the Pythagorean Theorem and its converse 0 apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. 0 apply the Pythagorean Theorem to find the distance between two points in a coordinate system. EFTA00283850