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MATH Pacing Guide PRE-ALGEBRA Math Outcomes Outcome Month Taught Quarter Assessed 1 PRE-ALG 1.1 PRE-ALG 1.2 PRE-ALG 1.3 PRE-ALG 1.4 PRE-ALG 1.5 PRE-ALG 1.6 PRE-ALG 1.7 PRE-ALG 1.8 PRE-ALG 1.9 PRE-ALG 1.10 PRE-ALG 1.11 PRE-ALG 1.12 PRE-ALG 1.13 Students will evaluate variable expressions, translate between powers and products, and evaluate numeric expressions using order of operations. Students will compare and order integers. Students will add, subtract, multiply, and divide integers. Students will use algebraic properties to evaluate expressions mentally and prepare them for unit analysis. Students will simplify variable expressions. Students will solve equations using addition, subtraction, multiplication, or division. Students will compute the four basic operations and solve equations with decimals. Students will solve two step equations. Students will solve multi step equations having like terms and parenthesis. Students will solve multi step equations with variables on both sides. Students will solve inequalities. Students will identify factors and complete prime factorization of a positive integer. Students will be able to identify the greatest common factor and least common multiple of two numbers. Students will write and simplify equivalent fractions. Students will use the rules of exponents, negative and zero exponents, and scientific notation to solve real world problems. Students will identify, order, and write fractions. Students will add and subtract like and unlike fractions. Students will multiply and divide fractions. Students will use multiplicative inverses to solve equations. Students will solve equations and inequalities containing rational numbers. Students will write fractions and decimals as percents. Students will find the percent of a number. Students will use a proportion or a percent to solve problems. Students will identify and calculate percent increase and decrease. Students will graph vertical and horizontal lines. Students will graph lines written in slope-intercept and standard form. Students will calculate slope. Students will approximate square roots, evaluate radical expressions, and solve equations using square roots. Students will simplify square roots. Students will apply square root knowledge to the Pythagorean Theorem. Updated 47-18-2016 2 3 4 HS Standard Reference Codes Number & Quantity The Real NNumber System RN Quantities NQ NCN NVM SP Algebra A-SSE Seeing Structure in Expressions A-APR The Complex Number System A-CED Vector & Matrix Quantities A-REI Functions F-IF Interpreting Functions Arithmetic with Polynomials & Rational Expressions Creating Equations Reasoning with Equations & Inequalities Geometry Statistics & Probability Interpreting Categorical S-ID G-CO Congruence F-BF Building Functions G-SRT Similarity, Right Triangles & Trigonometry S-IC Making Inferences & Justifying Conclusions F-LE Linear, Quadratic & Exponential Models G-C Circles S-CP Conditional Probability & Rules of Probability F-TF Trigonometric Functions G-GPE Expressing Geometric Properties with Equations S-MD Using Probability to Make Decisions G-GMD Geometric Measurement & Dimension Modeling with Geometry & Quantitative Data Statistics & Probability G-MG Pre-Algebra STANDARD REFERENCE Pre-Algebra 1 Purpose Components Unit Outcome MA.PreAlg.1 MA.PreAlg.1.1 MA.PreAlg.1.2 MA.PreAlg.1.3 Students will interpret linear functions. Students will evaluate variable expressions, translate between powers and products, and evaluate numeric expressions using order of operations. Evaluate variable expressions given a value for the variable or variables Translate between powers and products in order to understand and apply exponents to problems Evaluate using the established order of operations 6.EE.A.2 8.EE.A.1 6.EE.A.3 Students will compare and order integers. Students will add, subtract, multiply, and divide integers. Compare and order integers 6.NS.C.6 Add and subtract integers 6.NS.C.5 Multiply and divide integers 6.NS.C.5 Unit Outcome MA.PreAlg.3 Students will use algebraic properties to evaluate expressions mentally and prepare them for unit analysis. Students will simplify variable expressions. Use the associative and distributive properties of multiplication and addition to evaluate expressions mentally Use the inverse properties of addition and multiplication to perform basic unit analysis Use the distributive property of multiplication to write simplified equivalent algebraic expressions Components Components Unit Outcome MA.PreAlg.2 MA.PreAlg.2.1 MA.PreAlg.2.2 MA.PreAlg.2.3 MA.PreAlg.3.1 MA.PreAlg.3.2 MA.PreAlg.3.3 3.OA.B.5 5.MD.A.2 5.OA.A.2 Components Unit Outcome MA.PreAlg.4 MA.PreAlg.4.1 MA.PreAlg.4.2 MA.PreAlg.4.3 Unit Outcome MA.PreAlg.5 Components MA.Pre-Alg.5.1 MA.PreAlg.5.2 MA.PreAlg.5.3 Components Unit Outcome MA.PreAlg.6 MA.Pre-Alg.6.1 MA.Pre-Alg.6.2 MA.Pre-Alg.6.3 Components Unit Outcome MA.PreAlg.7 MA.PreAlg.7.1 MA.PreAlg.7.2 MA.PreAlg.7.3 Components Unit Outcome MA.PreAlg.8 MA.PreAlg.8.1 MA.PreAlg.8.2 MA.PreAlg.8.3 Students will solve equations using addition, subtraction, multiplication, or division. Students will compute the four basic operations and solve equations with decimals. Solve equations using addition or subtraction 2.OA.A.1 Solve equations using multiplication and division 3.OA.A.3 Add, subtract, multiply, divide, and solve equations with decimal numbers 5.NBT.B.7 Students will solve two step equations. Students will solve multi step equations having like terms and parenthesis. Students will solve multi step equations with variables on both sides. Solve two step equations Solve equations containing like terms and parenthesis Solve equations with variables on both sides of the equals sign 7.EE.8.4 7.EE.B.4 A-REI.B Students will solve inequalities. 6.EE.B.8 Solve inequalities using addition or subtraction Solve inequalities using multiplication or division Solve multi-step inequalities Students will identify factors and complete prime factorization of a positive integer. Students will be able to identify the greatest common factor and least common multiple of two numbers. Students will write and simplify equivalent fractions. Identify factors and complete prime factorization of a positive integer Identify the greatest common factor and use it to write and simplify equivalent fractions Identify the least common multiple and use it to solve problems 7.EE.B.4 A-CED.A.1 4.OA.A.1 6.NS.B.4 6.NS.B.4 Students will use the rules of exponents, negative and zero exponents, and scientific notation to solve real world problems. Use the rules of exponents to solve real world problems 8.EE.A.1 Use negative and zero exponents to solve real world problems 8.EE.A.1 Use scientific notation to solve real world problems A.EE.A.4 Components Unit Outcome MA.PreAlg.9 MA.Pre-Alg.9.1 MA.Pre-Alg.9.2 MA.Pre-Alg.9.3 Components Unit Outcome MA.PreAlg.10 MA.PreAlg.10.1 MA.PreAlg.10.2 MA.PreAlg.10.3 MA.PreAlg.10.4 Components Unit Outcome MA.PreAlg.11 MA.PreAlg.11.1 MA.PreAlg.11.2 MA.PreAlg.11.3 Components Unit Outcome MA.PreAlg.12 MA.PreAlg.12.1 MA.PreAlg.12.2 MA.PreAlg.12.3 MA.PreAlg.12.4 Students will identify, order, and write fractions. Students will add and subtract like and unlike fractions. Identify, order, and write fractions Add and subtract like fractions Add and subtract unlike fractions Students will multiply and divide fractions. Students will use multiplicative inverses to solve equations. Students will solve equations and inequalities containing rational numbers. Multiply fractions 5.NFB.4 Divide fractions 6.NS.A.1 Use multiplicative inverses to solve equations 5.NFB.7 Solve equations and inequalities containing rational numbers 5.NFB.7 Students will write fractions and decimals as percents. Students will find the percent of a number. Students will use a proportion or a percent to solve problems. Students will identify and calculate percent increase and decrease. write fractions and decimals as percents 6.RP.A.3 find the percent of a number 6.RP.A.3 use a proportion or a percent to solve problems 7.RP.A.3 Students will graph vertical and horizontal lines. Students will graph lines written in slope-intercept and standard form. Students will calculate slope. Graph vertical and horizontal lines 8.EE.C.7 Graph lines in standard form using intercepts 8.EE.B.5 Graph lines in slope-intercept form using the slope and y-intercept 8.EE.B.5 Calculate the slope of a line given the coordinates of two points on the line 8.EE.B.6 6.NS.C.7 5.NFA.1 5.NFA.1 Components Unit Outcome MA.PreAlg.13 MA.PreAlg.13.1 MA.PreAlg.13.2 MA.PreAlg.13.3 Students will approximate square roots, evaluate radical expressions, and solve equations using square roots. Students will simplify square roots. Students will apply square root knowledge to the Pythagorean Theorem. Approximate square roots, evaluate radical expressions, and solve equations using square roots Simplify square roots Apply knowledge of square roots to the Pythagorean theorem to find the hypotenuse of a right triangle 8.EE.A.2 A.EE.A.1 8.G.G.7