Cape Flattery School District Grades 6-8 Mathematics Scope and Sequence Grade 6 Key Instructional Focus Ratios and proportional reasoning: early expressions and equations Required fluency: Multi-digit division Multi-digit decimal operations Ratios and Unit Rates 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 Geometry Apply and extend previous understandings of numbers to algebraic expressions. Reason about and solve one-variable equations and inequalities. Represent and analyze quantitative relationships between dependent and independent variables. Solve real-world and mathematical problems involving area, surface area, and volume. Statistics and Probability Develop understanding of statistical variability. Summarize and describe distributions.
Approximate Pacing Ratios and Unit Rates 35 days 6.RP.1,6.RP.2,6.RP.3 Number operations including dividing by a fraction 25 days 6.NS.1,6.NS.2,6.NS.3,6.NS.4 Rational numbers 25 days 6.NS.5,6.NS.6,6.NS.7.6.NS.8 Expressions and Equations 35 days 6.EE.1,6.EE.2,6.EE.3,6.EE.4 6.EE.5,6.EE.6,6.EE.7,6.EE.8-9 Area, Surface Area and Volume 25 days 6.EE.2,6.EE.5-7, 6.G 1-4 Statistics 25 days 6.SP.1-5 Resources: Common Core State Standards for Mathematics : Pages 41-45 Grade 7 Key Instructional Focus Ratios and proportional reasoning; arithmetic of rational numbers Ratios and Proportional Relationships Analyze proportional relationships and use them to solve real-world and mathematical problems. The Number System Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers. Expressions and Equations Use properties of operations to generate equivalent expressions. Solve real-life 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. Investigate chance process and develop, use, and evaluate probability models. Approximate Pacing Ratios and Proportional Relationships 30 days 7.RP.1, 7.RP.2,7.RP.3,7.EE.4,7.G.1 Rational Numbers 30 days 7.NS.1-3, 7.EE2, 7.EE.4 Expressions and Equations 35 days 7.EE.1-4, 7.G.4-6 Percent and Proportional Relationships 25 days 7.RP.1-3, 7.EE.3, 7.G.1 Statistics and Probability 25 days 7.SP.1-8 Geometry 35 days 7.G.2, 7.G.3, 7.G.5, 7.G.6 Resources: Common Core State Standards for Mathematics : Pages 47-51
Grade 8 Key Instructional Focus Linear Algebra The Number System Know that there are numbers that are not rational, and approximate them by rational numbers. Expressions and Equations Functions Geometry Work with radicals and integer exponents Understand the connections between proportional relationships, lines, and linear equations. Analyze and solve linear equations and pairs of simultaneous linear equations. Define, evaluate, and compare functions. Use functions to model relationships between quantities. Understand congruence and similarity using physical models, transparencies, or geometry software Understand and apply the Pythagorean Theorem. Solve real-world and mathematical problems involving volume of cylinders, cones and spheres. Statistics and Probability Investigate patterns of association in bivariate data. Approximate Pacing Chart Integer Exponents and Scientific Notation 20 days 8.EE.1, 8.EE.3, 8.EE.4 The Concept of Congruence 25 days 8.G.1-2,8.G.5-7 Similarity 25 days 8.G.3-7 Linear Equations 40 days 8.EE.5-8
Examples of Functions from Geometry 15 days 8.F.1-3,8.G.9 Linear Functions 20 days 8.F.4-5, 8.SP.1-4 Intro to Irrational Numbers using Geometry 35 days 8.NS.1-2, 8.EE.2, 8.G.6-9 Resources: Common Core State Standards for Mathematics : Pages 53-56 K.Ritter Summer, 2013