DOC# CPD.LIT/MST -P003 © Clark County School District and ETS/Pulliam Group, All Rights Reserved Published 08/03; Rev. A, 07/27/05, Rev. B, 07/07/06, Rev. C 05/17/07, Rev. D 06/10/08, Rev. E 06/05/09, Rev. F 05/05/10 Based on the Nevada State Standards, norm referenced assessments, and the Nevada Criterion Reference Examination. For pacing of the CCSD Power Standards, please refer to the Benchmark Calendars. 20 Algebra 1 Power Standards for Mathematics Strand NV CCSD Power Standards Numbers, Number Sense, and Computation 1.8.1 1.8.3 1.8.5 1.8.6 1.8.7 1.12.6 1.12.7 1.12.8 Represent numbers using scientific notation in mathematical and practical situations. Compare and order real numbers, including powers of whole numbers in mathematical and practical situations. Identify perfect squares to 225 and their corresponding square roots. Use estimation strategies to determine the reasonableness of an answer in mathematical and practical situations. Calculate with real numbers to solve mathematical and practical situations. Use order of operations to solve equations in the real number system. Determine an approximate value of radical and exponential expressions using a variety of methods. Solve mathematical problems involving exponents and roots. Perform addition, subtraction, and scalar multiplication on matrices. Identify and apply real number properties to solve problems. Patterns, Functions, and Algebra 2.8.2 2.8.4 2.8.5 2.8.6 2.12.1 2.12.2 2.12.3 2.12.4 2.12.5 2.12.6 Evaluate formulas and algebraic expressions using rational numbers (with and without technology). Solve and graphically represent equations and inequalities in one variable, including absolute value. Identify, model, describe, and evaluate functions (with and without technology). Translate among verbal descriptions, graphic, tabular, and algebraic representations of mathematical situations (with and without technology). Solve linear equations and represent the solution graphically. Solve inequalities and represent the solution on a number line. Describe how changes in the value of one variable affect the values of the remaining variables in a relation. Use algebraic expressions to identify and describe the nth term of a sequence. Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations. Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes. Simply algebraic expressions, including exponets and radicals. Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically. Solve absolute value equations and inequalities both algebraically and graphically. Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology). Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology). Measurement 3.8.5 3.12.3 3.12.5 Apply ratios and proportions to calculate rates and solve mathematical and practical problems using indirect measure. Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations. Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems. Spatial Relationships, Geometry, and Logic 4.8.5 4.8.6 4.12.5 4.12.7 4.12.9 Calculate slope, midpoint, and distance using equations and formulas (with and without technology). Determine the x-and y-intercepts of a line. Form generalizations and validate conclusions about geometric figures and their properties. Determine the slope of lines using coordinate geometry and algebraic techniques. Identify parallel, perpendicular, and intersecting lines by slope. Graph linear equations and find possible solutions to those equations using coordinate geometry. Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines. Apply the Pythagorean Theorem and its converse in mathematical and practical situations. Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations. Data Analysis 5.8.6 5.12.1 Formulate reasonable inferences and predictions through interpolation and extrapolation of data to solve practical problems. Organize statistical data through the use of tables, graphs, and matrices (with and without technology). Problem Solving A Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts. Mathematical Communication B Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing. Mathematical Reasoning C Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas. Mathematical Connections D Students will develop their ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole.