Chinle USD CURRICULUM GUIDE. SUBJECT: Math GRADE: 5th TIMELINE: 4th QUARTER

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1 Strand 1: Number and Number Sense PO 1. Determine equivalence by converting between benchmark fractions, decimals, and percents. M I will convert between fractions, decimals, and percents. Evaluation Fractions and Division Prime Macmillan/McGraw- Hill Composite Math Connects Volume Factor One Multiple Lesson 8.1 Pg. 333 Improper Fractions Macmillan/McGraw- Hill Math Connects Volume One Lesson 8.2 Pg. 338 Mixed Numbers Macmillan/McGraw- Hill Math Connects Volume One Lesson 8.4 Pg. 346 Percents and Fractions Lesson AZ 2 Pg. AZ22 Percents and Decimals 1 Revised 5/20/10

2 Strand 1: Number and Number Sense PO 4. Compare and order positive fractions, decimals, and percents. M I will compare and order fractions, decimals, percents. Lesson AZ 3 Pg. AZ 27 Order Whole Numbers and Decimals Macmillan/McGraw- Hill Math Connects Volume One Lesson 1.7 Pg. 42 Fractions on a Number Line Lesson 8.5 pg. 350 Compare Order Positive numbers Fractions Decimals Percents Proper fractions Improper fractions Denominator Numerator Compare Fractions Lesson 9.9 pg. 404 Compare and Order Fractions, Decimals, and Percents 2 Revised 5/20/10

3 Strand 1: Number and Numerical Strand 1: Number and Numerical Strand 1: Number and Numerical PO 2. Multiply multi-digit whole numbers. M PO 3. Divide multi-digit whole numbers by whole number divisors with and without remainders. I PO 4. Apply the associative, commutative, and distributive properties to solve numerical problems. C I will multiply multidigit numbers. I will divide multidigit numbers (with and without remainders). I will learn the properties of addition. I will learn the properties of multiplication. Lesson AZ 4 Pg. AZ 32 Application Multiply by Two-Digit Numbers Lesson 3.6 pg. 122 Lesson 4.4 pg. 162 Properties of Addition Lesson 2.7 pg. 84 Distributive Property Lesson 3.2 pg. 108 Multiply Multi-digit Whole Number Divide Multi-digit Whole number Divisors Remainder Associative Property Commutative Property Distributive Property Solve Multiplication Algebraic Notation Properties of Multiplication 3 Revised 5/20/10

4 Strand 2: Data Analysis, Probability, and Discrete Mathematics PO 1. Collect, record, organize, and display data using multi-bar graph or double line graphs. M I will collect, record, organize, and display data using multi-bar graphs or double line graphs. Lesson 3.7 pg. 126 Synthesis Bar Graphs Lesson 7.6 Pg. 299 Multi-Bar graph Double Line graph Data Analysis Line Graphs Lesson 7.7 Pg. 306 Strand 4: Geometry and Measurement Geometric Properties PO 3. Classify quadrilaterals by their properties. C I will use the parts of quadrilaterals to put them into categories Analysis Use an Appropriate Graph Lesson 7.8 Pg. 312 Explore: Identify Angles Lesson 13.4 pg. 570 Interior Angle Measures of Quadrilaterals Analyze Attributes Properties 2-Dimensional 3-dimensional Figures Classify Quadrilaterals Sides Parallel 4 Revised 5/20/10

5 Algorithms and Algorithmic Thinking Strand 4: Geometry and Measurement Concept 4: Measurement Strand 4: Geometry PO 2. Develop an algorithm or formula to calculate areas and perimeters of simple polygons. C PO 3. Measure angles between 0 and 360 degrees. M PO 1. Draw and label 2- dimensional figures given specific attributes including angle measure and side length. M I will write a number sentence to find area and perimeter. I will measure angles between 0 and 360 degrees. I will draw and label 2-dimensional figures based on the angle measure Concepts Skills Bank Pg. R61 Perpendicular Congruent Application/ Synthesis Application Application Explore: Perimeters of Rectangles Lesson 14.1 pg Explore: Identify Angles Lesson 13.3 pg. 564 Angles Between 108 and 360 degrees Lesson 9 Pg. AZ50 Geometry Lesson 13.1 Angles Algorithms Formula Calculate Area Perimeters Simple polygons Grids Geoboards Manipulatives Rectangles Triangles Angle Degree Protractor Angle Side Right angle Similar 5 Revised 5/20/10

6 Geometric Properties and side length given to me. pg. 557 Congruent Explore: Identify Angles Lesson 13.3 pg. 564 Triangles Lesson 13.3 pg. 566 Strand 4: Geometry and Measurement Geometric Properties PO 4. Compare attributes of 2- dimensional figures with 3- dimensional figures by drawing and constructing nets and models. M I will compare 2- dimensional and 3- dimensional figures based on their attributes using models and nets of the figures. Quadrilaterals Explore: Identify Angles Lesson 13.4 pg Dimensional Figures Lesson 14.4 pg. 624 Problem Solving Strategy: Make a Model Lesson dimensional Net Vertices Face Edge Attribute 6 Revised 5/20/10

7 pg. 628 Explore: Volumes of Prisms Lesson 14.6 pg. 630 Surface Area of Prisms Lesson 14.6 pg. 638 & 340 Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 4: Vertex-Edge Graphs Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 4: PO 1. Investigate properties of vertex-edge graphs Euler paths, Euler circuits, and I degree of a vertex. C PO 2. Solve problems related to Euler paths and circuits. C I will find Euler paths and circuits in vertex-edge graphs. I will find the degree of vertices in vertex-edge graphs. I will find Euler paths and circuits in vertex-edge graphs. Application Synthesis Euler Paths and Circuits Lesson 14 Pg. AZ71 Euler Paths and Circuits Lesson 14 Pg. AZ71 Vertex-edge graphs Euler path Euler circuits Vertices Odd degree Graph Vertex Euler path Euler circuits Vertices Odd degree Graph Vertex 7 Revised 5/20/10

8 Vertex-Edge Graphs Strand 2: Data Analysis, Probability, and Discrete Mathematics Probability Strand 3: Patterns, Algebra, and Functions Patterns PO 2. Explore probability when performing experiments by predicting the outcome, recording the data, comparing outcomes of the experiment to predictions, and comparing the results of multiple repetitions of the experiment. M PO 1. Recognize, describe, create, and analyze a numerical sequence involving fractions and decimals using addition and subtraction. M I will perform probability experiments and predict the outcome, record the data, and compare my results to my predictions. I will also repeat the experiment several times and compare my results. I will recognize, describe, create, and analyze a sequence of fractions and decimals using addition and subtraction. Application /Analysis Explore: Make a Prediction Lesson 15.2 pg. 666 Probability as a Fraction Lesson 15.2 pg. 668 Sequences Lesson 7 Pg. AZ43 Probability Outcome Predict Compare Results Sequence, PO 1: Analyze a problem situation to determine the question(s) to be answered. M I will analyze a problem to determine what question I need to answer. Analysis PSI: Use the Four-Step Plan Lesson 1.3 Pg. 24 Analyze 8 Revised 5/20/10

9 Problem Solving, and PSS: Guess and Check Lesson 1.8 Pg. 48 PSS: Work Backwards Lesson 2.3 Pg. 68 PSI: Estimate or Exact Answer Lesson 2.5 Pg. 74, Problem Solving, and PO 2: Identify relevant, missing, and extraneous information related to the solution to a problem. M I will find extra and missing information in word problems. Knowledge Explore Math Activity: Interpret the Remainder Lesson 4.6 Pg. 168 Extra information Missing information PO 3. Select and use one or more I will select the right Application PSS: Draw a Picture Strategy 9 Revised 5/20/10

10 ,,, strategies to efficiently solve the problem and justify the selection. M PO 4. Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem. M PO 5. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. M strategy needed to solve word problems. I will connect word problems to problems I have completed before, and use the same strategy to solve them. I will use pictures, numbers, symbols and or manipulatives to help me solve word problems. Lesson 3.5 Pg. 120 Synthesis Synthesis PSS: Act It Out Lesson 4.5 Pg. 166 PSS: Solve a Simpler Problem Explore Math Activity: Interpret the Remainder Lesson 5.2 Pg. 196 PSS: Draw a Picture Lesson 3.5 Pg. 120 Math Activity: Use Division Models Strategy Manipulative Combination Symbols 10 Revised 5/20/10

11 Lesson 4.3 Pg. 156,, PO 6. Summarize mathematical information, explain reasoning, and draw conclusions. M PO 7. Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question. M PO 8. Make and test conjectures based on data or information collected from explorations and experiments. M I will draw conclusions and explain how I solved math problems. I will check my answers to make sure they make sense. I will write rules to explain what is happening in math problems, then try the experiment, and see if my rule Analysis Analysis Multiplication Patterns Lesson 3.1 Pg. 103 Division Patterns Lesson 4.1 Pg. 149 Explore Math Activity: Interpret the Remainder Lesson 4.6 Pg. 168 Bar Graphs Lesson 7.6 Pg. 299 Draw conclusions Rules Conjectures Explorations Experiments 11 Revised 5/20/10

12 , applies. Line Graphs Lesson 7.7 Pg. 306,, PO 9. Identify simple valid arguments using if then statements based on graphic organizers. M PO 10. Construct if then statements to generalize rules for computation, geometric properties and algebraic functions. M I will construct and use if then statements to generalize rules for computation, geometric properties, and algebraic functions using graphic organizers. I will construct and use if then statements to generalize rules for computation, geometric properties, and algebraic functions. PSS: Use al Reasoning Lesson 8.3 Pg. 344 If Then Statements Lesson 15 Pg. AZ74 If...then statements Graphic organizer Computations Properties Functions If...then statements Graphic organizer Computations Properties Functions 9/30/11 Chinle Unified School District No. 24 pages Revised 5/20/10

Chinle USD CURRICULUM GUIDE. SUBJECT: Math GRADE: 5th TIMELINE: 3 RD QUARTER

Chinle USD CURRICULUM GUIDE. SUBJECT: Math GRADE: 5th TIMELINE: 3 RD QUARTER Str 2: data Analysis, Probability, Discrete Mathematic s Probability PO 1. Describe the theoretical probability of evs repres the probability as a fraction, decimal, or perc. I I will describe the probability