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Chinle USD CURRICULUM GUIDE SUBJECT: Math GRADE: TIMELINE: 2nd Quarter 5th Strand/ Concept: Performance Objectives.Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Strand 1: Number and Operations PO 1. Determine equivalence by converting between benchmark fractions, decimals, and percents. I I will convert between fractions, decimals, and percents. Evaluation Fractions and Division Macmillan/McGrawHill Math Connects Volume One Lesson 8.1 Pg. 333 Equivalent Convert Benchmark Fractions Decimal Fraction Percent Simplest Form Concept 1: Number Sense Improper Fractions Macmillan/McGrawHill Math Connects Volume One Lesson 8.2 Pg. 338 Mixed Numbers Macmillan/McGrawHill Math Connects Volume One Lesson 8.4 Pg. 346 Percents and Fractions Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson AZ 2 Pg. AZ22 1 Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Strand 1: Number and Operations Concept 1: Number Sense Math Performance Objectives.Mastery Level Explanation PO 3. Locate integers on a number line. I GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective I will locate integers on a number line. Level of Thinking Comprehension Resource Correlation Percents and Decimals Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson AZ 3 Pg. AZ 27 Order Whole Numbers and Decimals Macmillan/McGrawHill Math Connects Volume One Lesson 1.7 Pg. 42 Academic Vocabulary Locate Integers Number Line Round Whole Numbers and Decimals Macmillan/McGrawHill Math Connects Volume One Lesson 2.1 Pg. 61 Fractions on a Number Line Macmillan/McGrawHill Math Volume One 2 Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Lesson 8.5 pg. 350 Strand 1: Number and Operations Concept 1: Number Sense PO 4. Compare and order positive fractions, decimals, and percents. I I will compare and order fractions, decimals, percents. Comprehension Order Whole Numbers and Decimals Macmillan/McGrawHill Math Connects Volume One Lesson 1.7 Pg. 42 Fractions on a Number Line Macmillan/McGrawHill Math Volume One Lesson 8.5 pg. 350 Compare Order Positive numbers Fractions Decimals Percents Proper fractions Improper fractions Denominator Numerator Compare Fractions Macmillan/McGrawHill Math Volume Two Lesson 9.9 pg. 404 Compare and Order Fractions, Decimals, and Percents Macmillan/McGraw- 3 Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Hill Arizona Map for Success for Math Connects Lesson AZ 4 Pg. AZ 32 Strand 1: Number and Operations PO 5. Use ratios and unit rates to model, describe and extend problems in context. I I will use ratios and unit rates to model, describe, and extend problems. Application Concept 1: Number Sense Strand 1: Number and Operations Concept 1: Number Sense Strand 1: Number and 4 PO 6. Express or interpret positive and negative numbers in context. I Context may include number lines, thermometers, elevation, credit/debit, or games such as football or golf. I will express and interpret positive and negative numbers in a problem. Evaluation PO 5. Simplify numerical expressions (including fractions and I will solve problems using the Application Ratios Macmillan/McGrawHill Math Volume Two Looking Ahead 3 Pg. LA10 Rates Macmillan/McGrawHill Math Volume Two Looking Ahead 4 Pg. LA14 Integers and Graphing on Number Lines Macmillan/McGrawHill Math Volume Two Lesson 12.5 Pg. 533 Order of Operations Macmillan/McGraw- Ratios Unit rates Model Comparison Quantity Measure Regrouping Strategies Positive numbers Negative numbers Number lines Thermometers Elevation Credit/debit Simplify Numerical Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Math GRADE: Strand/ Concept: Performance Objectives.Mastery Level Explanation Kid Friendly Learning Objective Operations decimals) using the order of operations with or without grouping symbols. I order of operations. Concept 2: Numerical Operations TIMELINE: 2nd Quarter 5th Level of Thinking Resource Correlation Academic Vocabulary Hill Math Volume One Lesson 5.7 pg. 218 Expressions Order of operations Grouping symbols Order of Operations Macmillan/McGrawHill Math Volume Two Looking Ahead 5 Pg. LA18 1st & 2nd Quarter Operations with Fractions and Decimals Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson AZ 6 Pg. AZ38 Strand 1: Number and Operations Concept 3: Estimation 1st & 2nd 5 PO 1. Make estimates appropriate to a given situation or computation with whole numbers, fractions, and decimals. I I will estimate when I need to. Application Estimate Sums and Differences Macmillan/McGrawHill Math Volume One Lesson 2.2 Pg. 64 Estimates Computation Whole numbers Fractions Decimals Strategies Measures Estimate or Exact Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Quarter Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Answer Macmillan/McGrawHill Math Volume One Lesson 2.5 Pg. 74 Estimate Products Macmillan/McGrawHill Math Volume One Lesson 3.3 Pg. 112 Estimate Quotients Macmillan/McGrawHill Math Volume One Lesson 4.2 Pg. 152 Estimation Strategies Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson 5 Pg. AZ35 Estimate Sums and Differences Macmillan/McGraw- 6 Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Strand 2: Data Analysis, Probability, and Discrete Mathematics Math Performance Objectives.Mastery Level Explanation PO 1. Collect, record, organize, and display data using multi-bar graph or double line graphs. C GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective I will collect, record, organize, and display data using multi-bar graphs or double line graphs. Level of Thinking Synthesis 7 Academic Vocabulary Hill Math Volume Two Lesson 10.6 Pg. 444 Bar Graphs Macmillan/McGrawHill Math Volume One Lesson 7.6 Pg. 299 Multi-Bar graph Double Line graph Line Graphs Macmillan/McGrawHill Math Volume One Lesson 7.7 Pg. 306 Concept 1: Data Analysis Strand 2: Data Analysis, Probability, and Discrete Resource Correlation PO 2. Formulate and answer questions by interpreting and analyzing displays of data, including multi-bar graphs or double line graphs. I I will use graphs to answer questions. Synthesis Use an Appropriate Graph Macmillan/McGrawHill Math Volume One Lesson 7.8 Pg. 312 Mean, Median, and Mode Macmillan/McGrawHill Math Volume One Lesson 7.1 Data collection Formulate Interpret Analyze Multi-bar graphs Double line graph Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Mathematics Concept 1: Data Analysis (Statistics) Resource Correlation Academic Vocabulary Pg. 279 Estimate Computation Data set Line Plots Macmillan/McGrawHill Math Volume One Lesson 7.3 Pg. 284 Frequency Tables Macmillan/McGrawHill Math Volume One Lesson 7.4 Pg. 289 Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 4: 8 PO 1. Investigate properties of vertex-edge graphs Euler paths, Euler circuits, and I degree of a vertex. C I will find Euler paths and circuits in vertex-edge graphs. I will find the degree of vertices in vertex-edge graphs. Application Scales and Intervals Macmillan/McGrawHill Math Volume One Lesson 7.5 Pg. 294 Euler Paths and Circuits Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson 14 Pg. AZ71 Vertex-edge graphs Euler path Euler circuits Vertices Odd degree Graph Vertex Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Vertex-Edge Graphs Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 4: Vertex-Edge Graphs Strand 3: Patterns, Algebra, and Functions Math 9 TIMELINE: 2nd Quarter 5th Performance Objectives.Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary PO 2. Solve problems related to Euler paths and circuits. C I will find Euler paths and circuits in vertex-edge graphs. Synthesis Euler Paths and Circuits Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson 14 Pg. AZ71 Vertex-edge graphs Euler path Euler circuits Vertices Odd degree Graph Vertex PO 1. Recognize, describe, create, and analyze a numerical sequence involving fractions and decimals using addition and subtraction. C I will recognize, describe, create, and analyze a sequence of fractions and decimals using addition and subtraction. Comprehension /Analysis Sequences Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson 7 Pg. AZ43 Sequence PO 1. Describe patterns of change including constant rate and increasing or decreasing rate. I I will describe patterns of change. Comprehension Rate of Change Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson 8 Pg. AZ46 Algebraic representations Value Quantity Patterns Constant rate Increasing rate Decreasing rate Speed Time Concept 1: Patterns Strand 3: Patterns, Algebra, and Functions Concept 4: Analysis of Change GRADE: Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Graph 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. C I will analyze a problem to determine what question I need to answer. Analysis PSI: Use the FourStep Plan Macmillan/McGrawHill Math Volume One Lesson 1.3 Pg. 24 Analyze PSS: Guess and Check Macmillan/McGrawHill Math Volume One Lesson 1.8 Pg. 48 PSS: Work Backwards Macmillan/McGrawHill Math Volume One Lesson 2.3 Pg. 68 PSI: Estimate or Exact Answer Macmillan/McGrawHill Math Volume One 10 Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Lesson 2.5 Pg. 74 Strand 5: Structure and Logic PO 2: Identify relevant, missing, and extraneous information related to the solution to a problem. C I will find extra and missing information in word problems. Knowledge Explore Math Activity: Interpret the Remainder Macmillan/McGrawHill Math Volume One Lesson 4.6 Pg. 168 Extra information Missing information PO 3. Select and use one or more strategies to efficiently solve the problem and justify the selection. C I will select the right strategy needed to solve word problems. Application PSS: Draw a Picture Macmillan/McGrawHill Math Volume One Lesson 3.5 Pg. 120 Strategy Concept 2: Logic, Reasoning, Problem Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problems Solving, and Proof Strand 5: Structure and Logic 11 PO 4. Determine whether a problem to be solved is similar to previously solved problems, and identify I will connect word problems to problems I have Synthesis PSS: Act It Out Macmillan/McGrawHill Math Volume One Lesson 4.5 Pg. 166 PSS: Solve a Simpler Problem Explore Math Activity: Strategy Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Concept 2: Logic, Reasoning, Problems Solving, and Proof Strand 5: Structure and Logic Math Concept 2: Logic, Reasoning, 12 TIMELINE: 2nd Quarter 5th Performance Objectives.Mastery Level Explanation Kid Friendly Learning Objective possible strategies for solving the problem. C completed before, and use the same strategy to solve them. PO 5. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. C I will use pictures, numbers, symbols and or manipulatives to help me solve word problems. Concept 2: Logic, Reasoning, Problems Solving, and Proof Strand 5: Structure and Logic GRADE: Level of Thinking Resource Correlation Academic Vocabulary Interpret the Remainder Macmillan/McGrawHill Math Volume One Lesson 5.2 Pg. 196 Synthesis PSS: Draw a Picture Macmillan/McGrawHill Math Volume One Lesson 3.5 Pg. 120 Manipulative Combination Symbols Math Activity: Use Division Models Macmillan/McGrawHill Math Volume One Lesson 4.3 Pg. 156 PO 6. Summarize mathematical information, explain reasoning, and draw conclusions. C I will draw conclusions and explain how I solved math problems. Analysis Multiplication Patterns Macmillan/McGrawHill Math Volume One Lesson 3.1 Pg. 103 Draw conclusions Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Problems Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problems Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problems Solving, and Proof 13 PO 7. Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question. C I will check my answers to make sure they make sense. Analysis PO 8. Make and test conjectures based on data or information collected from explorations and experiments. C I will write rules to explain what is happening in math problems, then try the experiment, and see if my rule applies. Comprehension Resource Correlation Academic Vocabulary Division Patterns Macmillan/McGrawHill Math Volume One Lesson 4.1 Pg. 149 Explore Math Activity: Interpret the Remainder Macmillan/McGrawHill Math Volume One Lesson 4.6 Pg. 168 Bar Graphs Macmillan/McGrawHill Math Volume One Lesson 7.6 Pg. 299 Rules Conjectures Explorations Experiments Line Graphs Macmillan/McGrawHill Math Volume One Lesson 7.7 Pg. 306 Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Math GRADE: TIMELINE: 2nd Quarter 5th Strand/ Concept: Performance Objectives.Mastery Level Explanation Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Strand 5: Structure and Logic PO 9. Identify simple valid arguments using if…then statements based on graphic organizers. C I will construct and use if…then statements to generalize rules for computation, geometric properties, and algebraic functions using graphic organizers. Comprehension PSS: Use Logical Reasoning Macmillan/McGrawHill Math Volume One Lesson 8.3 Pg. 344 If...then statements Graphic organizer Computations Properties Functions PO 10. Construct if…then statements to generalize rules for computation, geometric properties and algebraic functions. C I will construct and use if…then statements to generalize rules for computation, geometric properties, and algebraic functions. Comprehension If … Then Statements Macmillan/McGrawHill Arizona Map for Success for Math Connects Lesson 15 Pg. AZ74 If...then statements Graphic organizer Computations Properties Functions PO 1: Analyze a problem situation to determine the question(s) to be answered. C I will analyze a problem to determine what question I need to answer. Analysis PSI: Use the FourStep Plan Macmillan/McGrawHill Math Volume One Lesson 1.3 Pg. 24 Analyze Concept 2: Logic, Reasoning, Problems Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problems Solving, and Proof Strand 5: Structure and Logic Concept 2: Logic, Reasoning, Problem 14 PSS: Guess and Revised 5/20/10 Chinle USD CURRICULUM GUIDE SUBJECT: Strand/ Concept: Solving, and Proof Math Performance Objectives.Mastery Level Explanation GRADE: TIMELINE: 2nd Quarter 5th Kid Friendly Learning Objective Level of Thinking Resource Correlation Academic Vocabulary Check Macmillan/McGrawHill Math Volume One Lesson 1.8 Pg. 48 PSS: Work Backwards Macmillan/McGrawHill Math Volume One Lesson 2.3 Pg. 68 PSI: Estimate or Exact Answer Macmillan/McGrawHill Math Volume One Lesson 2.5 Pg. 74 15 Revised 5/20/10