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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 1Unit Name and Description: Number Puzzles and Multiple Towers: Multiplication and DivisionCluster: 1Big Ideas/Enduring Understandings Essential Question(s)Algebraic methods are used to explore a variety of real world problem How might we use algebra to solve real life problems?solving situations. How are numbers related?Numbers can be represented in many ways.Operations have inverse relationships. AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS3C3PO1 Two-step equation; inverse Create and solve two-step equations that can be operations; whole numbers solved using inverse operations with whole numbers.S1C1PO2 Prime; Composite; Factors; Differentiate between prime and composite numbers; Multiplies; Whole Numbers differentiate between factors and multiples for whole numbers.S1C2PO2 Multi-digit; Whole Numbers Multiply multi-digit whole numbers.* = POs previously introduced Bold = Priority PO 1Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S1C2PO3 Division; Multi-digit whole Divide multi-digit whole numbers by whole number numbers; Divisors; Remainders divisors with and without remainders.S1C2PO4 Properties of Associative; Apply the Associative, Commutative, and Distributive Distributive; Computation properties to solve numerical problems.S2C3PO1 Relationships; Multiplication Analyze relationships to create representations and principle of counting make connections to the multiplication principle of counting.S1C3PO1 Estimates; Whole Numbers; Make estimates appropriate to a given situation or Fractions; Decimals; computation with whole numbers, fractions, and Computation decimals.* = POs previously introduced Bold = Priority PO 2Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 1Unit Name and Description: Prisms and PyramidsCluster: 2Big Ideas/Enduring Understandings Essential Question(s)Algebraic methods are used to explore a variety of real world problem How might we use algebra to solve real life problems?solving situations. How are numbers related?Numbers can be represented in many ways.Operations have inverse relationships. AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS3C1PO1 Numerical sequence; Recognize, describe, create, and analyze a Fractions; Decimals; numerical sequence involving fractions and Addition; Simplest Form decimals using addition and subtraction.S1C3PO1 Estimates; Whole Numbers; Make estimates appropriate to a given situation or Fractions; Decimals; computation with whole numbers, fractions, and Computation decimals.S1C2PO2 Multi-digit; Whole Numbers Multiply multi-digit whole numbers.* = POs previously introduced Bold = Priority PO 3Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S1C2PO3 Division; Multi-digit whole Divide multi-digit whole numbers by whole number numbers; Divisors; Remainders divisors with and without remainders.* = POs previously introduced Bold = Priority PO 4Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 1Unit Name and Description: What’s that Portion: Fractions and ParenthesisCluster: 3Big Ideas/Enduring Understandings Essential Question(s)Equivalent relationships exist among numbers. How are numbers related to each other?Numbers can be represented in many ways. What number forms are appropriate to use in a given situation? AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS1C1PO4 Positive Fractions; Decimals; Compare and order positive fractions, decimals, Percents and percents.S1C1PO1 Equivalency between Fractions; Determine equivalence by converting between Decimals; Percents benchmark fractions, decimals, and percents.S1C2PO1 Add; Subtract; Decimals; Add and subtract decimals though thousandths and Thousandths; Fractions; fractions expressing solutions in simplest form. Simplest formS1C1PO5 Ratio; Unit Rates; Problem in Use ratios and unit rates to model, describe, and extend context problems in context.* = POs previously introduced Bold = Priority PO 5Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S3C1PO1 Numerical sequence; Recognize, describe, create, and analyze a Fractions; Decimals; Addition; numerical sequence involving fractions and Simplest Form decimals using addition and subtraction.* = POs previously introduced Bold = Priority PO 6Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 2Unit Name and Description: Measuring Polygons: 2D Geometry and MeasurementCluster: 4Big Ideas/Enduring Understandings Essential Question(s)Data can be represented visually. How can a variety of graphs help to represent different types of data?Attributes of 2D and 3D figures can be used to solve real world How do 2D and 3D figures relate to the real world?problems. Why do we measure?Various forms of measurement exist in life. Why would we calculate area and perimeter?Space can be calculated using area/perimeter. How might we solve problems using area and perimeter? AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS2C1PO2 Displays of data; Multi-bar Formulate and answer questions by interpreting graph; Double line graph and analyzing displays of data, including multi- bar graphs or double line graphs.S4C1PO1 Attribute of 2-dimensional Draw and label 2-dimensional figures given specific figures; Angle measure; Side attributes including angles measure and side length. length* = POs previously introduced Bold = Priority PO 7Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S4C1PO2 Properties of triangles; Solve problems by understanding and applying the Sum of interior angles=180° property that the sum of the interior angles of a triangle is 180°S4C4PO3 Angles Measure angles between 0 and 360 degrees. Degrees-0; 360 degreesS2C1PO1 Display of data; Multi-bar graph; Collect, record, organize, and display data using multi- Double line graph bar graphs and double line graphs.S4C1PO4 Attributes of 2-dimensional Compare attributes of 2-dimensional figures with 3- figures; 3-dimensional dimensional figures by drawing and constructing figures; Nets; Models nets and models.S4C4PO4 Properties of 2-dimensional Solve problems involving the area of 2-dimensional figures; Parallelograms; figures by using the properties of parallelograms and Triangles; Problems involving triangles. areaS4C1PO3 Quadrilaterals properties Classify quadrilaterals by their properties.S4C4PO5 Area and perimeter; Regular Solve problems involving area and perimeter of regular polygons; Irregular Polygons; and irregular polygons using re-allotment of square Square Units units.S4C4PO2 Appropriate measure; Degree of State an appropriate measure and degree of accuracy in accuracy context a given context.* = POs previously introduced Bold = Priority PO 8Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 2Unit Name and Description: Decimals on Grids and Number LinesCluster: 5Big Ideas/Enduring Understandings Essential Question(s)Real world data can be represented through integers. In what situations would it be necessary to interpret integers? AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS1C1PO4 Positive Fractions; Decimals; Compare and order positive fractions. Decimals, and Percents percents.S1C1PO1 Equivalency between Fractions; Determine equivalence by converting between Decimals; Percents benchmark fractions, decimals, and percents.S1C1PO3 Integers; Number line Develop and interpret integers on a number line.S1C3PO1 Estimates; Whole Numbers; Make estimates appropriate to a given situation or Fractions; Decimals; computation with whole numbers, fractions, and Computation decimals.* = POs previously introduced Bold = Priority PO 9Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S1C2PO1 Add; Subtract; Decimals; Add and subtract decimals though thousandths and Thousandths; Fractions; fractions expressing solutions in simplest form. Simplest formS1C1PO6 Numbers; Positive; Negative Express or interpret positive and negative numbers in context.* = POs previously introduced Bold = Priority PO 10Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 3Unit Name and Description: Growth Patterns: Patterns, Functions, and Number LinesCluster: 6Big Ideas/Enduring Understandings Essential Question(s)Space can be calculated using area/perimeter. Why would we calculate area and perimeter?Patterns can fluctuate over time. How might we solve problems using area/perimeter? How might patterns fluctuate over time? AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS3C4PO1 Patterns of change; constant Describe patterns of change including constant rate rate; Increasing rate; and increasing or decreasing rate. Decreasing rateS4C4PO5 Area and perimeter; Regular Solve problems involving area and perimeter of regular polygons; Irregular Polygons; and irregular polygons using re-allotment of square Square Units units.* = POs previously introduced Bold = Priority PO 11Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 3Unit Name and Description: How Long Can You Stand on One Foot? Data Analysis and ProbabilityCluster: 7Big Ideas/Enduring Understandings Essential Question(s)Probability is the likelihood of an event to occur. What is the difference between probability and a guess?Probability can be represented in various forms. Why do we use more than one form to represent probability?Mathematical methods can be used to maximize efficiency. Why is it important to take the most efficient path? AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS2C2PO2 Probability; Data; Explore probability when performing experiments Experiments; Multiple by repetitions • Predicting the outcomes • Recording data • Comparing outcomes of the experiment to predictions • Comparing the results of multiple repetitions of the experimentS2C1PO3 Mean; Median; Mode; Range; Produce mean, median, and range to analyze describe Data and describe the distribution of a given data set.* = POs previously introduced Bold = Priority PO 12Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S2C1PO1 Display of data; Multi-bar graph; Collect, record, organize, and display data using multi- Double line graph bar graphs and double line graphs.S2C1PO2 Displays of data; Multi-bar Formulate and answer questions by interpreting graph; Double line graph and analyzing displays of data, including multi-bar graphs or double line graphs.S2C2PO1 Theoretical Probability; Fraction; Describe theoretical probability of events and represent Decimal; Percent the probability as a fraction, decimal, or percent.* = POs previously introduced Bold = Priority PO 13Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 3Unit Name and Description: Additional Supplemental Teaching DaysCluster: 8Big Ideas/Enduring Understandings Essential Question(s) AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS1C2PO5 Numerical Expressions; Order of Simplify numerical expressions (including fractions and operations; Symbols; Whole decimals) using the order of operations with or without Numbers grouping symbols.S2C3PO2 Multiplication principle of Solve a variety of counting problems and explain the counting multiplication principle of counting.S2C4PO1 Properties of Vertex edge Investigate properties of vertex edge graphs graphs; Degree of vertex • Euler paths Euler paths; Euler Circuits • Euler Circuits • Degree of a vertexS2C4PO2 Euler paths; Euler circuits Solve problems related to Euler paths and circuits.* = POs previously introduced Bold = Priority PO 14Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S4C4PO1 Elapsed Time Solve problems using elapsed time.* = POs previously introduced Bold = Priority PO 15Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 4Unit Name and Description: Thousands of Miles, Thousands of Seats: Addition, Subtraction, and Number SystemCluster: 9Big Ideas/Enduring Understandings Essential Question(s)Algebraic methods are used to explore a variety of real world problem How might we use algebra to solve real life problems?solving situations. How are numbers related?Numbers can be represented in many ways.Operations have inverse relationships. Essential Learning AZ Key SummativeStandard Knowledge Skills Vocabulary AssessmentS3C3PO1 Two-step equation; inverse Create and solve two-step equations that can be operations; whole numbers solved using inverse operations with whole numbers.S1C3PO1 Estimates; Whole Numbers; Make estimates appropriate to a given situation or Fractions; Decimals; computation with whole numbers, fractions, and Computation decimals.* = POs previously introduced Bold = Priority PO 16Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5Quarter: 4Unit Name and Description: How Many People? How Many Teams? Multiplication and DivisionCluster: 10Big Ideas/Enduring Understandings Essential Question(s)Algebraic methods are used to explore a variety of real world problem How might we use algebra to solve real life problems?solving situations. How are numbers related?Numbers can be represented in many ways.Operations have inverse relationships. AZ Essential Learning Key SummativeStandard Knowledge Skills Vocabulary AssessmentS1C2PO3 Division; Multi-digit whole Divide multi-digit whole numbers by whole number numbers; Divisors; Remainders divisors with and without remainders.S1C2PO4 Properties of Associative; Apply the Associative, Commutative, and Distributive Distributive; Computation properties to solve numerical problems.S1C2PO2 Multi-digit; Whole Numbers Multiply multi-digit whole numbers.S1C3PO1 Estimates; Whole Numbers; Make estimates appropriate to a given situation or Fractions; Decimals; computation with whole numbers, fractions, and Computation decimals.* = POs previously introduced Bold = Priority PO 17Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S2C3PO1 Relationships; Multiplication Analyze relationships to create representations and principle of counting make connections to the multiplication principle of counting.* = POs previously introduced Bold = Priority PO 18Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5 Process Objectives: MUST BE Integrated throughout ClustersBig Ideas/Enduring Understandings Essential Question(s) AZ Essential Learning Key Summative Standard Knowledge Skills Vocabulary AssessmentS5C2PO1 Analytical skills Analyze a problem situation to determine the question(s) to be answered QuestionsS5C2PO2 Information; Relevant; Identify relevant, missing and extraneous Extraneous information related to the solution of a problem.S5C2PO3 Mathematical Strategies Select and apply one or more strategies to efficiently solve the problem and justify the selection of the strategy.S5C2PO4 Problem-Solving Strategies Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.S5C2PO5 Representations; Words; Represent a problem situation using any Numbers; Pictures; Physical combination of words, numbers, Objects; Symbols pictures, physical objects, or symbols.* = POs previously introduced Bold = Priority PO 19Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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5th Grade Math Curriculum Map Isaac School District No. 5S5C2PO6 Conclusions; Reasoning Summarize mathematical information, explain, reasoning, and draw conclusions.S5C2PO7 Problems Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the questions being asked.S5C2PO8 Data; Explorations; Make and test conjectures based on data Experiments collected from explorations and experiments.* = POs previously introduced Bold = Priority PO 20Italics = POs taught at earlier grade level [ ] = Increased Skill Rigor Isaac School DistrictUnderlining = Cognitive rigor 8-4-2011
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