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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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Math 8: Florida Standards Coverage Overview Use this chart to see comprehensive coverage of all required course standards, including mathematical practice standards. Many lessons also support English language development and the application of literacy standards. Related standards are indicated on lesson pages throughout this guide. Mathematics Florida Standards Unit 1 DOMAIN: THE NUMBER SYSTEM MAFS.8.NS.1.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. MAFS.8.NS.1.2 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 (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. DOMAIN: EXPRESSIONS AND EQUATIONS MAFS.8.EE.1.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × 3 −5 = 3 −3 = 1/3³ = 1/27 Semester A: 1.05, 1.06, 1.07, 1.10, 1.15 MAFS.8.EE.1.2 Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. MAFS.8.EE.1.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 10 8 and the population of the world as 7 × 10 9 , and determine that the world population is more than 20 times larger. Semester A: 1.01, 1.08, 1.11, 1.12, 1.15 MAFS.8.EE.1.4 Perform operations with numbers expressed in scientifi c notation, including problems where both decimal and scientifi c notation are used. Use scientifi c notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafl oor spreading). Interpret scientifi c notation that has been generated by technology. Semester A: 1.08, 1.10, 1.11, 1.12, 1.15 MAFS.8.EE.2.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two diff erent proportional relationships represented in diff erent ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. MAFS.8.EE.2.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. MAFS.8.EE.3.7 Solve linear equations in one variable. MAFS.8.EE.3.7a. Give examples of linear equations in one variable with one solution, infi nitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are diff erent numbers). * Indicates the lesson provides prerequisite instruction to the standard. x xii MATH 8: FLORIDA STANDARDS COVER AGE OVERVIEW

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