MATH ACCELERATED 6/7 CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools 2014-2015 (Additional curriculum information and resources for teachers can be accessed through CMS and VISION) Math Accelerated 6/7 Nine Weeks Overview 1st Quarter Unit 1-Classroom Routines: NUMBER TALKS 6.19/7.16 Properties 2nd Quarter Unit 1-Classroom Routines: NUMBER TALKS 7.16 Properties 7.1 Rational Numbers 7.3 Integer Operations 3rd Quarter Unit 1-Classroom Routines: NUMBER TALKS 7.16 Properties 7.1 Rational Numbers 7.15 Inequalities 4th Quarter Unit 1-Classroom Routines: NUMBER TALKS 7.16 Properties 7.1 Rational Numbers 7.4 Proportional Reasoning Unit 2 – Rational Numbers 6.5/7.1d Square Roots 6.5/7.1a Powers of 10 7.1b Scientific Notation 7.1e Absolute Value 6.1 Ratios 6.6/6.7 Computation and Estimation with Fractions and Decimals 6.2a-c/6.4 FDP Representation 7.1c/6.2d Ordering 6.3/7.3a Integer Modeling 7.3b Integer Operations 6.19/7.16a – e Properties Unit 3 – Number Relationships 6.8 Order of Operations 7.13a Translating Expressions 7.13b Evaluating Expressions 7.2/6.17 Sequences 6.11 Coordinate Plane 7.12 Functions Unit 5 – Proportional Reasoning 7.4 Proportional Reasoning 6.6/6.7 Fraction Operations 6.12/7.6 Similar Figures Review & Apply: 7.12 Showing Proportional relationships using tables, graphs, rules, & words Unit 7 – Probability & Statistics 6.16/7.9 Experimental & Theoretical Probability 7.10 Fundamental Counting Principle & Compound Probability 6.15 Measure of Central Tendency 6.14/7.11 Graphs and Comparisons Unit 6 – Measurement & Geometry 6.13/7.7 Quadrilaterals 6.10 Circles, Area, & Perimeter 7.8 Transformations 6.10d/7.5 Surface Area & Volume Review & Apply: 6.8, 7.13b, & 7.14a Order of Operations Evaluate for Given Values Solve V & SA equations for missing attribute 21 blocks Curriculum completed by 4/20/15 21 blocks Unit 4 – Equations & Inequalities 6.18/7.14a Solving Equations 7.14b Practical Problems with Equations 7.15a Solving One Step Inequalities 6.20/7.15b Graphing Inequalities 22 blocks SOL Review and Assessments Post SOL Topics 6.4 Representations for Multiplication and Division of Fractions 6.9 Metric System 6.14 Circle Graphs 25 blocks Math Accelerated 6/7 Scope & Sequence Quarter 1: 21 blocks Blocks All year 19 blocks Unit Unit 1-Classroom Routines Unit 2 – Rational Numbers Standard Topic NUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning 6.5/7.1d Number & Number Sense Perfect Squares and square roots of positive numbers 6.5/7.1a Number & Number Sense Positive & negative exponents and powers of ten 7.1b Number & Number Sense Scientific notation with negative and positive exponents 7.1e Number & Number Sense Absolute value of rational numbers 6.1 Number & Number Sense Ratio representations 6.6/6.7 Computation & Estimation 6.2 a-c/ 6.4 Number & Number Sense FDP and their representations 7.1c/6.2d Number & Number Sense Computation & Estimation Comparing and ordering rational numbers 6.3/7.3a 2 blocks Content Strand 7.3b Computation & Estimation 6.19/ 7.16 a-e Patterns, Functions, & Algebra Assessment, Review, and Intervention Add, subtract, multiply, and divide fractions and decimals in multi-step practical problems Modeling operations with integers Operations with integers. Use models to justify solutions to integer problems Properties of real numbers Quarter 2: 22 blocks Blocks All year 11 blocks 9 blocks 2 blocks Unit Unit 1-Classroom Routines Unit 3 - Number Relationships Unit 4 – Equations & Inequalities Standard Content Strand Topic NUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning 6.8 Number & Number Sense Order of operations 7.13a Patterns, Functions, & Algebra Verbal and algebraic expressions and equations 7.13b Patterns, Functions, & Algebra Evaluate algebraic expressions 6.17/7.2 Number & Number Sense Arithmetic and geometric sequences 6.11 Patterns, Functions, & Algebra Coordinate Plane 7.12 Patterns, Functions, & Algebra Use multiple representations of relations and functions 6.18/ 7.14a Patterns, Functions, & Algebra Solve one- and two-step linear equations in one variable. 7.14b Patterns, Functions, & Algebra Solve practical problems 7.15a Patterns, Functions, & Algebra 6.20/ 7.15b Patterns, Functions, & Algebra Solve one-step inequalities in one variable using one- and two-step linear equations in one variable. Graph one- step inequalities on the number line Assessment, Review, and Intervention Quarter 3: 21 blocks Blocks All year 12 blocks Unit Unit 1-Classroom Routines Unit 5 – Proportional Reasoning Standard 7.4 Computation & Estimation 6.6/6.7 Computation & Estimation 6.12/7.6 Geometry and Measurement 7.12 Patterns, Functions, & Algebra Geometry and Measurement Geometry and Measurement Geometry & Measurement Geometry and Measurement 6.10 7.8 Unit 6 – Measurement & Geometry 6.10d/7.5 6.8/ 7.13b/7.14a 2 blocks Topic NUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning 6.13/7.7 7 blocks Content Strand Assessment, Review, and Intervention Number Sense and Measurement Solve practical problems using proportional reasoning including scale drawings Add, subtract, multiply, and divide fractions and decimals in multi-step practical problems Determine similar figures (quadrilaterals and triangles) and write proportions to express the relationships between the figures REVIEW & APPLY: Functions Compare and contrast quadrilaterals Circles / Area and Perimeter of Rectangular Prisms Transformations on the coordinate plane Solve practical problems involving surface area and volume and describe the effects of changing one measured attribute of a rectangular prism to its volume and surface area REVIEW & APPLY: Order of Ops/ Evaluating Exp/V & SA - missing attribute Quarter 4: 25 blocks Blocks All year 5 blocks 20 blocks Unit Unit 1-Classroom Routines Unit 7 – Probability & Statistics Standard Topic NUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning 6.16/7.9 Probability and Statistics Investigate and describe the difference between experimental and theoretical probability 7.10 Probability and Statistics Determine the probability of compound events using the Fundamental Counting Principle. Use the FCP to determine the total number of possible outcomes. 6.15 Probability and Statistics Measures of Central Tendency 6.14/7.11 Probability and Statistics Graphs and Comparisons Assessment, Review, and Intervention SOL Test Content Strand Additional information about the Standards of Learning can be found in the VDOE Curriculum Framework (Math 6) VDOE Curriculum Framework (Math 7) (click link above) Additional information about math vocabulary can be found in the VDOE Vocabulary Word Wall Cards (click link above)