Chinle USD CURRICULUM GUIDE. SUBJECT: MATH GRADE: 6th TIMELINE: 2 nd Quarter. Kid Friendly Learning Objective

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1 Concept 1: Numerical PO 1. Convert between expressions for positive rational numbers, including fractions, decimals, percents, and ratios. M I will convert between expressions for rational numbers; e.g., fractions to decimals, decimals to percent, and ratios to fraction, etc. Comprehension TB TB 379 Ratio Percents Fractions Decimals Convert Concept 1: Numerical PO 4. Compare and order integers; and positive fractions, decimals, and percents. M I will compare and order integers, positive fractions, decimals, and percents. Evaluation Ch 17 TB 603 Integers Decimals Percentage Fractions Rational Numbers Proper Fractions Improper Fractions Concept 1: Numerical PO 5. Express that a number s distance from zero on the number line is its absolute value. I will show that a number s absolute value is its distance from Application Knowledge TB Number line Absolute Value 1

2 M zero on a number line. TB 595 Concept 1: Numerical PO 6. Express the inverse relationships between exponents and roots for perfect squares and cubes. M I will write expressions to show the relationships between exponents and roots for perfect squares and cubes. Knowledge TB 50-51, TB TB Inverse Exponents Squares Cubes Square Roots Express 2

3 Concept 2: Numerical PO 1. Apply and interpret the concepts of addition and subtraction with integers using models. M I will use models to add and subtract integers. Evaluation TB TB 614 TB 619 Models Positive Integers Negative Integers 3

4 Concept 2: Numerical PO 5. Provide a mathematical argument to explain operations with two or more fractions or decimals. M We will show the operation of two or more fractions or decimals using pictures, models or written explanation. Synthesis TB TB , TB , TB , TB Model 4

5 Concept 2: Numerical PO 7. Simplify numerical expressions (involving fractions, decimals, and exponents) using the order of operations with or without grouping symbols. M I will use the order of operations with or without grouping symbols to simplify numerical expressions involving fractions, decimals, and exponents. Analysis TB TB 18 TB TB Simplify Order of Exponents 5

6 Concept 3: Estimation PO 1. Use benchmarks as meaningful points of comparison for rational numbers. M I will use known points on a number line to compare rational numbers. Application TB TB Rational Numbers Order Least to Greatest Order Greatest to Least Illumination s Around.ht m 6

7 Concept 3: Estimation PO 2. Make estimates appropriate to a given situation and verify the reasonableness of the results. M I will estimate and verify the results to a given problem. Application Illumination s Around.ht m Estimate Front-End Clustering Rounding McGraw- district adopted curriculum, TB 38, TB 74-81, TB (SRA Series) 7

8 Strand 3: Patterns, Algebra, and Functions Concept 3: Algebraic Representations PO 1. Use an algebraic expression to represent a quantity in a given context. M I will make number sentence with letters by using the correct operations (use an algebraic expression) to represent a quantity in a given context. Application TB TB Algebraic Expression Quantity Strand 3: Patterns, Algebra, and functions Concept 3: Algebraic Representations PO 4. Evaluate an expression involving the four basic operations by substituting given fractions and decimals for the variable. M I will evaluate an expression involving the four basic operations (+,-,x. ) by replacing a provided fractions and decimals for the variable. Evaluation McGraw TB TB TB Evaluate Expression Variable 8

9 Strand 4: Geometry and Measurement Concept 1: Geometric Properties PO 2. Solve problems using properties of supplementary, complementary, and vertical angles. M I will use the properties of supplementary, complementary, and vertical angles to solve problems. Application finding your way around.htm McGraw TB TB 417 TB 416 Supplementary Complementary Angle Vertical angle finding your way around.htm Strand 4: Geometry and Measurement Concept 3: Coordinate PO 2. State the missing coordinate of a given figure on the coordinate plane using I will label the missing coordinate of a Knowledge McGraw (Other s) Vertices vertex 9

10 Geometry geometric properties to justify the solution. M given figure on the coordinate plane using geometric properties to explain the solution. TB (Challenge Worksheet) Strand 4: Geometry and Measurement Concept 4: Measurement PO 2. Solve problems involving conversion within the U.S. Customary and within the metric system. M I will convert measures within the U.S. and Metric systems when solving problems. Knowledge finding your way around.htm McGraw TB TB TB TB Convert Customary Metric Equivalent Expression Ratio finding your way 10

11 around.htm Strand 4: Geometry and Measurement Concept 4: Measurement PO 5. Solve problems involving area and perimeter of regular and irregular polygons. M I will solve problems involving the area and perimeter of regular and irregular polygons. Synthesis McGraw TB (Regular Polygons) TB 566 (Irregular Figures) TB TB Area Perimeter Regular Polygons Irregular Polygons finding your way around.htm Strand 5: Structure and Logic Concept 1: Algorithms PO 2. Create and justify an algorithm to determine the area of a given compound figure using parallelograms and triangles. I will construct and justify an algorithm to decide the area of a given Synthesis and Evaluation McGraw TB 551 Algorithm Compound Parallelograms Justify 11

12 and Algorithmic M compound figure using parallelograms and triangles. TB finding your way around.htm Area Base Height Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problem Solving, and Proof PO 1. Analyze a problem situation to determine the question(s) to be answered. M I will look very closely at the problem to determine the questions to be answered. Analysis McGraw- District adopted curriculum. TB 351, TB Analyze Strand 5: Structure and Logic PO 3. Analyze and compare mathematical strategies for efficient problem solving; select and use one or more strategies I will look carefully and compare mathematical Analysis Comprehension (SRA Series) Strategies Assumption 12

13 Concept 2: Logic, Reasoning, Problem Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problem Solving, and Proof to solve a problem. M PO 6. Communicate the answer(s) to the question(s) in a problem using appropriate representations, including symbols and informal and formal mathematical language. M strategies for well-organized problem solving; I will select and use one or more mathematical strategies to solve a problem. I will share the answers to questions in problems using the right representations including symbols and informal and formal mathematical language. Comprehension McGraw- District adopted curriculum. TB (SRA Series) McGraw- District adopted curriculum. TB 351, TB Informal Notation Formal Notation Algebraic Expressions Geometric Expressions (SRA Series) 9/30/11 Chinle Unified School District No. 24 pages