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

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1 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 of an ev happening as a decimal, fraction, or perc., analysis Probability Lesson 15.1 pg. 661 Explore: Make a Prediction Lesson 15.2 pg. 666 Probability as a Fraction Lesson 15.2 pg. 668 Probability Theoretical Counting Outcomes Lesson 15.4 pg. 677 Probability as a Fraction a Perc Arizona Map for Success for Math Connects Lesson 12 Pg. AZ62 1 Revised 5/20/10

2 Str 2: Data Analysis, Probability, Discrete Mathemati cs Probability Str 2: Data Analysis, Probability, Discrete Mathematic s Concept 3: Systematic Listing Counting Str 2: Data Analysis, PO 2. Explore probability when performing experims by predicting the outcome, recording the data, comparing outcomes of the experim to predictions, comparing the results of multiple repetitions of the experim. M PO 1. Analyze relationships among represations make connections to the multiplication principle of counting. I PO 2. Solve a variety of counting problems explain the multiplication principle of counting. C I will perform probability experims predict the outcome, record the data, compare my results to my predictions. I will also repeat the experim several times compare my results. I will analyze relationships among charts, lists, tree diagrams to make connections to the multiplication principle of counting. I will solve problems using the multiplication principle of Analysis Synthesis Explore: Make a Prediction Lesson 15.2 pg. 666 Probability as a Fraction Lesson 15.2 pg. 668 Counting Outcomes Lesson 15.4 pg. 677 Fundamal Counting Principle Arizona Map for Success for Math Connects Lesson 13 Pg. AZ66 Counting Outcomes Lesson 15.4 Probability Outcome Predict Compare Results Multiplication principle of Counting Connections Relationship Chart List Tree diagram Combination Multiplication principle of Counting Connections 2 Revised 5/20/10

3 Probability, Discrete Mathematic s Concept 3: Systematic Listing Counting Str 3: Patterns, Algebra, Functions Concept 3: Algebraic Represa tions PO 1. Create solve two-step equations that can be solved using inverse operations with whole numbers. C counting. pg. 677 I will create solve two step equations using inverse operations. Fundamal Counting Principle Arizona Map for Success for Math Connects Lesson 13 Pg. AZ66 Solve Two-Step Equations Arizona Map for Success for Math Connects Lesson 1 Pg. AZ17 Relationship Chart List Tree diagram Combination Algebraic Represations Analyze structures Two-step equations Inverse operations Whole numbers Str 4: Concept 1: Geometric Properties PO 1. Draw label 2- dimensional figures given specific attributes including angle measure side length. M I will draw label 2-dimensional figures based on the angle measure side length given to me. Lesson 13.1 pg. 557 Explore: Idify Angles Angle Side Right angle Similar Congru 3 Revised 5/20/10

4 Lesson 13.3 pg. 564 Triangles Lesson 13.3 pg. 566 Str 4: Concept 1: Geometric Properties PO 2. Solve problems by understing applying the property that the sum of the interior angles of a triangle is 180. M I will solve problems using the property that the sum of the inside angles of a triangle is 180. Quadrilaterals Explore: Idify Angles Lesson 13.4 pg. 570 Interior Angle Measures of Triangles Concepts Skills Bank Pg. R60 Interior Angles of a Triangle Arizona Map for Success for Math Connects Lesson 10 Pg. AZ53 Triangle Sum Interior angles Str 4: PO 3. Classify quadrilaterals by I will use the parts Analysis Quadrilaterals Properties 4 Revised 5/20/10

5 Concept 1: Geometric Properties Str 4: Concept 1: Geometric Properties their properties. I PO 4. Compare attributes of 2- dimensional figures with 3- dimensional figures by drawing constructing nets models. M of quadrilaterals to put them into categories I will compare 2- dimensional 3- dimensional figures based on their attributes using models nets of the figures. Comprehension Explore: Idify Angles Lesson 13.4 pg. 570 Interior Angle Measures of Quadrilaterals Concepts Skills Bank Pg. R61 3 Dimensional Figures Lesson 14.4 pg. 624 Problem Solving Strategy: Make a Model Lesson 14.5 pg Dimensional 3-dimensional Figures Classify Quadrilaterals Sides Parallel Perpendicular Congru Angles 3-dimensional Net Vertices Face Edge Attribute Explore: Volumes of Prisms Lesson 14.6 pg Revised 5/20/10

6 Surface Area of Prisms Lesson 14.6 pg. 638 & 340 Str 4: PO 1. Solve problems using elapsed time. M I will solve problems using elapsed time. Elapsed Time Lesson 11.7 pg. 498 Elapsed time Concept 4: Str 4: PO 2. State an appropriate measure degree of accuracy in a given context. C Given an object I will tell what tool I will use to measure it, how big the object is. Synthesis Explore: Measure with a Ruler Lesson 11.1 pg. 475 Measure Concept 4: Units of Length Lesson 11.1 pg Revised 5/20/10

7 Units of Weight Lesson 11.3 pg. 484 Units of Capacity Lesson 11.4 pg. 488 Units of Time Lesson 11.5 pg. 492 Explore: Metric Rulers Lesson 12.1 pg. 515 Units of Length Lesson 12.1 pg. 517 Units of Mass 7 Revised 5/20/10

8 Lesson 12.3 pg. 524 Units of Capacity Lesson 12.4 pg. 527 Explore: Units of Temperature Lesson 12.6 pg. 536 & 537 Str 4: PO 3. Measure angles between degrees. M I will measure angles between degrees. Select Appropriate Formulas Lesson 14.8 pg. 644 Explore: Idify Angles Lesson 13.3 pg. 564 Angle Degree Protractor Concept 4: Angles Between degrees 8 Revised 5/20/10

9 Str 4: PO 4. Solve problems involving the area of 2-dimensional figures by using the properties of parallelograms triangles. I I will solve problems about area using the rules of parallelograms triangles. Arizona Map for Success for Math Connects Lesson 9 Pg. AZ50 Area Lesson 14.2 pg. 612 Area Perimeter Parallelogram Triangle Concept 4: - Units of Measure - Geometric Objects Str 4: PO 5. Solve problems involving area perimeter of regular irregular polygons using reallotm of square units. I I will solve area perimeter problems about polygons by moving square units around. Extend: Area of Parallelograms Lesson 14.3 pg. 620 Area Lesson 14.2 pg. 612 Square unit Perimeter Area Regular polygon Irregular polygon Concept 4: - Units of Measure - Geometric Objects Extend: Area of Parallelograms Lesson 14.3 pg Revised 5/20/10

10 Str 5: Logic Problem 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 Four-Step Plan Lesson 1.3 Pg. 24 PSS: Guess Check Lesson 1.8 Pg. 48 Analyze PSS: Work Backwards Lesson 2.3 Pg. 68 PSI: Estimate or Exact Answer Lesson 2.5 Pg. 74 Str 5: Logic PO 2: Idify relevant, missing, extraneous information related to I will find extra missing information in word problems. Knowledge Explore Math Activity: Interpret the Remainder Extra information Missing information 10 Revised 5/20/10

11 Problem Proof the solution to a problem. C Lesson 4.6 Pg. 168 Str 5: Logic Proof Str 5: Logic Proof PO 3. Select use one or more strategies to efficily solve the problem justify the selection. C PO 4. Determine whether a problem to be solved is similar to previously solved problems, idify possible strategies for solving the problem. C I will select the right strategy needed to solve word problems. I will connect word problems to problems I have completed before, use the same strategy to solve them. Synthesis PSS: Draw a Picture Lesson 3.5 Pg. 120 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 Strategy Strategy 11 Revised 5/20/10

12 Str 5: Logic Proof PO 5. Repres a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. C I will use pictures, numbers, symbols or manipulatives to help me solve word problems. Synthesis PSS: Draw a Picture Lesson 3.5 Pg. 120 Math Activity: Use Division Models Lesson 4.3 Pg. 156 Manipulative Combination Symbols Str 5: Logic Proof Str 5: Logic PO 6. Summarize mathematical information, explain reasoning, draw conclusions. C PO 7. Analyze evaluate whether a solution is reasonable, is mathematically correct, answers the question. C I will draw conclusions explain how I solved math problems. I will check my answers to make sure they make sense. 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 Draw conclusions 12 Revised 5/20/10

13 Proof Str 5: Logic Proof PO 8. Make test conjectures based on data or information collected from explorations experims. C I will write rules to explain what is happening in math problems, then try the experim, see if my rule applies. Comprehension Bar Graphs Lesson 7.6 Pg. 299 Line Graphs Lesson 7.7 Pg. 306 Rules Conjectures Explorations Experims Str 5: Logic Proof Str 5: Logic PO 9. Idify simple valid argums using if then statems based on graphic organizers. C PO 10. Construct if then statems to generalize rules for computation, geometric properties algebraic functions. C I will construct use if then statems to generalize rules for computation, geometric properties, algebraic functions using graphic organizers. I will construct use if then statems to generalize rules for Comprehension Comprehension PSS: Use Logical Reasoning Lesson 8.3 Pg. 344 If Then Statems Arizona Map for Success for Math Connects If...then statems Graphic organizer Computations Properties Functions If...then statems Graphic organizer Computations 13 Revised 5/20/10

14 Proof computation, geometric properties, algebraic functions. Lesson 15 Pg. AZ74 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: 4th QUARTER

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