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SUBJECT: Strand/Concept: Math Performance Obj.-Mastery Level Explanation Chinle USD CURRICULUM GUIDE GRADE: 6 Kid Friendly Learning Objective TIMELINE: 4th Quarter Level of Thinking Resource Correlation Academic Vocabulary Review all Standards to prepare students for AIMS. Strand 1: Number and Operations 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 Concept 1: Number Sense Strand 1: Number and Operations PO 4. Multiply and divide fractions. M Concept 2: Numerical Operations Strand 1: Number and Operations Concept 2: Numerical Operations 1 I will find the product of proper fractions, improper fractions and mixed numbers. Synthesis I will follow the order of operations with or without grouping symbols to simplify numerical expressions involving fractions, decimals, and exponents. Buckle Down Unit 1 L1/L4 Holt-McDougal P250-263 http://hrw.com Buckle Down Unit 1 L3 I will find the quotient proper fractions, improper fractions and mixed numbers. PO 7. Simplify numerical expressions (involving fractions, decimals, and exponents) using the order of operations with or without grouping symbols. I Holt-McDougal p598-601, 602-603 http://hrw.com Analysis Holt-McDougal p16-21 http://hrw.com Buckle Down Unit 1 L5 Integers Decimals Percentage Fraction Rational Numbers Proper Fraction Improper Fraction Multiply Divide Numerators Denominators Mixed Numbers Proper Fractions Improper Fractions Reciprocal Algorithm Simplify Order of Operations Exponents Numerical Expression Revised CAT 6/21/12 SUBJECT: Math Chinle USD CURRICULUM GUIDE GRADE: 6 TIMELINE: 4th Quarter Strand/Concept: Performance Obj.-Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Strand 5: Structure and Logic PO 1. Analyze algorithms for multiplying and dividing fractions and decimals using the associative, commutative, and distributive properties. M I will analyze the product and quotient of rational numbers by using associative, commutative, and distributive properties. Analysis Holt-McDougal p129-130, 122-123, 250-251, 258-259 http://hrw.com Rational Numbers Mathematical Properties Algorithms Concept 1: Algorithms and Algorithmic Thinking Strand 3: Patterns, Algebra, and Functions Concept 3: Algebraic Representations Strand 3: Patterns, Algebra, and Functions Concept 1: Patterns Strand 3: Patterns, Algebra, and Functions Concept 2: Functions and Relationships 2 PO 4. Evaluate an expression involving the four basic operations by substituting given fractions and decimals for the variable. I PO 1. Recognize, describe, create, and analyze a numerical sequence involving fractions and decimals using all four basic operations. M PO 1. Recognize and describe a relationship between two quantities, given by a chart, table, or graph, using words and expressions. C I will evaluate an expression involving the four basic operations (+,-, x. ÷) by substituting given fractions and decimals for the variable. I will recognize describe, create and analyze a numerical sequence involving rational numbers using all four basic operations. I will recognize and describe the relationship between two quantities. Evaluation Buckle Down Unit 1 L5 Buckle Down Unit 2 L7 Evaluate Expression Variable Operations Rational Number Comprehension Synthesis Holt-McDougal pPS1-PS4 http://hrw.com Buckle Down Unit 2 L8 Create Describe Sequence Patterns Repeating Patterns Knowledge/ Comprehension Holt-McDougal P698-701 http://hrw.com Expressions Chart Table Variables Buckle Down Unit 2 L8 Revised CAT 6/21/12 SUBJECT: Math Chinle USD CURRICULUM GUIDE GRADE: 6 TIMELINE: 4th Quarter Strand/Concept: Performance Obj.-Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Strand 4: Geometry and Measurement PO 2. Draw a reflection of a polygon in the coordinate plane using a horizontal or vertical line of reflection. I I will illustrate a reflection of a polygon in the coordinate plane using a horizontal or vertical line of reflection. Knowledge Holt-McDougal p608-611 http://hrw.com I will label the missing coordinate of a given figure on the coordinate plane using geometric properties to justify the solution. Knowledge Reflection Coordinate Plane X-axis Y-axis Horizontal Vertical Origin Coordinate Point Polygon Vertices Vertex I will solve problems involving the area and perimeter of regular and irregular polygons. Synthesis Concept 2: Transformation of shapes Strand 4: Geometry and Measurement Concept 3: Coordinate Geometry Strand 4: Geometry and Measurement Concept 4: Measurement Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 1: Data Analysis (Statistics) 3 PO 2. State the missing coordinate of a given figure on the coordinate plane using geometric properties to justify the solution. I PO 5. Solve problems involving area and perimeter of regular and irregular polygons. M PO 3. Use extreme values, mean, median, mode, and range to analyze and describe the distribution of a given data set. C I will use extreme values, mean, median, mode, & range to analyze & describe the distribution of a given set of data. Buckle Down Unit 2 L10 Holt-McDougal p310-313 http://hrw.com Buckle Down Unit 2 L10 Analysis Holt-McDougal p534 http://hrw.com Buckle Down Unit 3 L11 Holt- McDougal P288-289 & 322323 http://hrw.com Buckle Down Unit 4 L12 Area Perimeter Regular Polygons Irregular Polygons Parallelogram Quadrilateral Central Tendency Mean Median Mode Range Extreme Values Revised CAT 6/21/12 SUBJECT: Math Chinle USD CURRICULUM GUIDE GRADE: 6 TIMELINE: 4th Quarter Strand/Concept: Performance Obj.-Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Strand 2: Data analysis, probability, and discrete math PO 1. Use data collected from multiple trials of a single event to form a conjecture about the theoretical probability. M I will use data collected from multiple trials of a single event to form a conjecture about the theoretical probability. Application Holt-McDougal p666-667 http://hrw.com Theoretical Probability Trials Data Experimental Single event I will construct a tree diagram and explore where items repeat. Synthesis/ Application Concept 2: Probability Strand 2: Data Analysis, Probability, and Discrete Mathematics Concepts 3: Systematic Listing and Counting Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problem Solving, and Proof PO 1. Build and explore tree diagrams where items repeat. C Buckle Down Unit 4 L13 Holt-McDougal p662-662 http://hrw.com Probability Tree Diagram Combinations Similar Outcomes Buckle Down Unit 4 L13 PO 2. Identify relevant, missing, I will identify relevant, and extraneous information related missing and extra to the solution to a problem. C information related to the solution to a problem. Knowledge Holt- McDougal p11, 78, 130, 166, 299, 357, 438, 489, 576, 599, 662, 681 699 & 723 http://hrw.com Relevant Extraneous Word problem Buckle Down Unit5 L15 4 Revised CAT 6/21/12 SUBJECT: Math Chinle USD CURRICULUM GUIDE GRADE: 6 TIMELINE: 4th Quarter Strand/Concept: Performance Obj.-Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Strand 5: Structure and Logic PO 7. Isolate and organize mathematical information taken from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning. C I will separate and organize mathematical information taken from symbols, diagrams, and graphs to make inferences, draw conclusions and justify reasoning. I will solve simple logic problems, including conditional statements, and justify solution methods and reasoning. Application/ Synthesis Holt-McDougal pPs1-PS10 http://hrw.com Inferences Draw Conclusions Justifications Concept 2: Logic, Reasoning, Problem Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problem Solving, and Proof 5 PO 9. Solve simple logic problems, including conditional statements, and justify solution methods and reasoning. C Buckle Down Unit 1 L6 Synthesis Holt-McDougal p679 http://hrw.com Logic Problems Buckle Down Unit 5 L15 Revised CAT 6/21/12