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Common Core 6th Grade Accelerated Curriculum Map 2014-2015 Mid-Course Post Test I (Modules 1, 2, 3, 9, 10)+ Ratios and Proportional Relationships Module 1: Rates and Ratios Sub-Module 1: Ratios (10 days) Sub-Module 2: Rates including percent (5 days). The Number System Ratios and Proportional Relationships Module 2: Module 9: Operations with Rational Numbers (Excluding Integers) Ratios and Proportional Relationships Sub-Module 1: Sub-Module 1: Proportional Multi-Digit reasoning Computation and (11 days) Finding Common Factors Sub-Module 2: and Multiples Proportional (6 days) relationships (12 days) Sub-Module 2: Dividing Fractions (8 days) (Modules 1, 2, 3, 4, 5, 6, 9, 10, 11) The Number System Module 3: Expanding Rational Numbers Sub-Module 1: Extending the Number System (8 days) Module 10: Operations with Rational Numbers Module 5 and 6: Algebraic Reasoning Equations and Inequalities 14 days 23 days Common Core Standards Common Core Standards Common Core Standards 6RP1 6RP2 6RP3a 6RP3b 6RP3c 6RP3d 6NS1 6NS2 6NS3 6NS4 7RP1 7RP2a 7RP2b 7RP2c 7RP2d 7RP3 7G1 (include 6SP3 – measures of center only) Geometry Module 11: Problem Solving with Expressions and Equations Pre-Module 1 Sub-Module 2: Relationships in the Coordinate Plane (8days) Sub-Module 4 Plotting Ordered Pairs in 1st Quadrant; Sub-Module 1: Rational number operations – addition and subtraction (8 days) Sub-Module 1: Algebraic Expressions (7 days) 19 days Solving 1-Step Equations; Sub-Module 2: Rational number operations – multiplication and division (6 days) 14 days Common Core Standards 6NS5 6NS6a 6NS6b 6NS6c 6NS7a 6NS7b 6NS7c 6NS7d 6NS8 Simplifying Numerical Expressions Sub-Module 1: Proportional relationships with percents (6 days) Pre-Module 2 Sub-Module 1: Representing Relationships (15 days) Sub-Module 2: Solving equations (9 days) Sub-Module 3: Solving equations and Inequalities (9 days) Module 7: Area, Surface Area, Volume Sub-Module 1: Problem solving with area in 2-D shapes (8 days) Sub-Module 2: Problem solving with volume and surface area. (8 days) Sub-Module 2: Understanding, writing, and solving equations and inequalities (16 days) (3 days) 15 days (Modules 7 and 8) Expressions and Equations Module 4: Algebraic Reasoning – Expressions Post Test II Statistics and Probability Module 8: Statistics Describing Data (Measures of Center and Variability) Sub-Module 1: Understanding data distributions (7 days) Sub-Module 2: Analyzing Data (8 days) 7 days 31 days 24 days 16 days 10 days Common Core Standards Common Core Standards Common Core Standards Common Core Standards Common Core Standards Common Core Standards 7NS1a 7NS1b 7NS1c 7NS1d 7NS2a 7NS2b 7NS2c 7NS2d 7NS3 6EE1 6EE2a 6EE2b 6EE2c 6EE3 6EE4 6EE5 6EE6 6EE7 6EE8 6EE9 7EE1 7EE2 7EE3 7EE4a 7EE4b 6G1 6G2 6G3 6G4 6SP1 6SP2 6SP3 6SP4 6SP5 Incorporated Standards and Connections to other Standards These units were written to build upon concepts from prior units, so later units contain tasks that depend upon the concepts addressed in earlier units. All units will include the Mathematical Practices and indicate skills to maintain. Standards of Major Clusters are in Green NOTE: Mathematical standards are interwoven and should be addressed throughout the year in as many different units and tasks as possible in order to stress the natural connections that exist among mathematical topics. SMCPS_CC6 Accelerated Mathematics Curriculum Map _ Revised 7/5/2013 Grades 6-8 Key: NS = The Number System, RP = Ratios and Proportional Relationships, EE = Expressions and Equations, G = Geometry, SP = Statistics and Probability Common Core 6th Grade Accelerated Curriculum Map 2014-2015 Grade 7 Grade 6 and 7 Overview Ratios and Proportional Reasoning In addition to identifying the Major, Additional and Supporting Clusters for each grade, suggestions are given following in the PARCC Guidance documents for ways to connect the Supporting to the Major Clusters of the grade/course. Thus, rather than suggesting even inadvertently that some material not be taught, there is direct advice for teaching it, in ways that foster greater focus and coherence. ■ Major Content; Supporting Content; Additional Content. Not all CCSSM content standards in a listed domain or cluster are assessed. Analyze proportional relationships and use them to solve realworld and mathematical problems. The Number System Grade 6 Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers. Ratios and Proportional Reasoning Expressions and Equations Understand ratio concepts and use ratio reasoning to solve problems. The Number System Apply and extend previous understandings of multiplication and division to divide fractions by fractions. Compute fluently with multi-digit numbers and find common factors and multiples. Apply and extend previous understandings of numbers to the system of rational numbers. Expressions and Equations Apply and extend previous understandings of arithmetic to algebraic expressions. Reason about and solve one-variable equations and inequalities. Represent and analyze quantitative relationships between dependent and independent variables. Use properties of operations to generate equivalent expressions. Solve real-life and mathematical problems using numerical and algebraic expressions and equations. Geometry Draw, construct and describe geometrical figures and describe the relationships between them. Solve real-life and mathematical problems involving angle measure, area, surface area and volume. Statistics and Probability Use random sampling to draw inferences about a population. Draw informal comparative inferences about two populations. Geometry Solve real-world and mathematical problems involving area, surface area and volume. Statistics and Probability Develop understanding of statistical variability. Summarize and describe distributions. SMCPS_CC6 Accelerated Mathematics Curriculum Map _ Revised 7/5/2013 Investigate chance processes and develop, use, and evaluate probability models.