Mathematics 5th Grade Math Standard 1 - Colorado ...coloradoplc.org/files/archives/grade_5_math.pdfMathematics 5th Grade Math Standard 1.1 5.Math.1.1 The decimal number system describes

Mathematics 5th Grade Math Standard 1.1

5.Math.1.1 The decimal number system describes place value patterns and relationships that are repeated in large and small numbers and forms the foundation for efficient algorithms

Essential Questions - 21st Century Skills and Readiness Competencies:

1. How can writing numbers in expanded form using powers of ten, fractions and/ or decimals help you to understand the value of numbers?

2. How can finding a pattern in the number of zeros help you to multiply by powers of ten?

3. How does the placement of the decimal point change when multiplying or dividing by a power of ten?

4. How do you use exponents to denote powers of ten?

5. How do you read and write decimals to thousandths using base-ten numerals, number names, and expanded form?

6. How does understanding place value help you to compare decimals?

7. How can you use place value understanding to round decimals?

8. How do you convert units of measurement within the same measurement system?

9. How can you use measurement conversions to solve real-world problems?

Evidence Outcomes:

1. Explain that in a multi-digit number, a digit in one place represents ten times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

2. Explain patterns in the number of zeros of the product when multiplying a number by powers of ten.

3. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of ten.

4. Use whole-number exponents to denote powers of ten.

5. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

6. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

7. Use place value understanding to round decimals to any place.

8. Convert among different-sized standard measurement units within a given measurement system.

9. Use measurement conversions in solving multi-step, real world problems.

Academic Vocabulary:

place value digit multi-digit pattern product

Assessment: 1. Use Build a Number Worksheet. Students use this worksheet to create their own versions of this activity. Students should select the digits to be used and then write five to ten Build a Number conditions. Students then create answer keys on the back of their

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papers. Use these student-generated activities for future place-value practice. 2-3. Create custom assessments to evaluate multiplication and division of whole numbers and decimals with powers of ten using the worksheet created at worksheetworks.com. 4. Use attachment to evaluate ability to multiply powers of ten using exponents. 5. The assessment for "Decimal War" is included in the attached lesson plan. 6. Use the attached Comparing Decimals assessment for evaluation of ability to accurately compare the value of decimals. 7. Create an assessment to evaluate ability to round decimals accurately. 8. Use assessment worksheet to evaluate ability to convert metric units. 9. Observe and assess students' abilities to solve problems involving measurement conversions. 1. Build a Number Worksheet 4. Exponents Assessment 6. Comparing Decimals Assessment 8. Assessment on Converting Metric Units

Suggested Activities/Strategies: 1. Play the Place Value Game. Using numerical cards, students actively play a game learning place value. 2a. Introduce powers of ten using the PowerPoint. (See attachment.) 2b. Use the attached Powers of Ten Performance Task to explore multiplying whole numbers with powers of ten. 3. Use the attached Powers of Ten

Resources/Technology: Standards-Based Activities Site for Teacher-Created Worksheets Metric Conversions Lesson Powers of Ten Tutorial


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Performance Task to explore patterns when multiplying and dividing decimals by powers of ten. 4. Use the attached video to introduce writing powers of ten with exponents. 5. Use the Decimal War Lesson to teach and to explore decimal place value through model building. 6. Use the Illuminations Fraction Model to explore different representations for fractions (improper and mixed) and percentages. 7. Use attached Rounding Decimals Performance Task to explore rounding decimals to the nearest hundredth. 8. Use the PowerPoint on metric conversion and Lesson #2 for practice converting between units. 9. Use the attached Converting Units Word Problems for practice solving measurement conversions using real world situations. 1. Place Value Game 2a. Powers of Ten PowerPoint 2b. Multiplying Whole Numbers by Powers of Ten 3. Multiplying Decimals with Powers of Ten Activity 3. Dividing Decimals with Powers of Ten 4. Powers of Ten Exponents Video 5. Decimal War Activity 6. Illuminations Fraction/Decimal/Percent Interactive Model 7. Rounding Decimals Performance Task 8. Metric Conversions Lesson PowerPoint 9. Converting Units Word Problems


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5.Math.1.2 Formulate, represent, and use algorithms with multi-digit whole numbers and decimals with flexibility, accuracy, and efficiency


1. What algorithms can be used to multiply multi-digit numbers?

2. What algorithms can be used to divide whole numbers?

3. How can you use the properties of operations to help solve problems?

4. How can you explain your calculations using equations or drawing arrays and area models?

5. How do you add and subtract decimals to hundredths? How do you multiply decimals to hundredths? How do you divide decimals?

6. How can using drawings and/or making drawings help you to solve problems?

7. How can you explain your reasoning and strategies using a written method?

8. How can you use the order of operations to write and solve numerical expressions using parentheses, brackets, and braces?

9. How do you write and interpret numerical expressions without evaluating them?

Evidence Outcomes:

1. Fluently multiply multi-digit whole numbers using standard algorithms.

2. Find whole-number quotients of whole numbers.

3. Use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

4. Illustrate and explain calculations by using equations, rectangular arrays, and/or area models.

5. Add, subtract, multiply, and divide decimals to hundredths.

6. Use concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

7. Relate strategies to a written method and explain the reasoning used.

8. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

9. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.


factor product traditional algorithm partial products algorithm lattice multiplication

Assessment: 1. Use this worksheet to assess multiplication with standard algorithms. Have students solve the first column with the traditional algorithm, the second column using lattice, and the third column with partial products.




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2. Assess students’ knowledge of solving division using this quiz. 3. Use this assessment in which students must apply their knowledge of the relationship between multiplication and division to solve for unknown factors. 3-4. Give students base ten blocks and have them model a multiplication or division problem. Use a checklist to record who has grasped the skill. After demonstrating proficiency using the blocks, have students represent a problem pictorially. 5a. Use this assessment for adding decimals. 5b. Use this assessment for subtracting decimals. 5c. Use this assessment for multiplying decimals. 5d. Use this assessment for dividing decimals. 6-7. Give students base ten blocks and have them model an addition or subtraction problem. Use a checklist to record who has grasped the skill. After demonstrating proficiency using the blocks, have students represent a problem pictorially. 8. Use this worksheet to assess order of operations. 9. Use this assessment to evaluate writing numerical expressions. 9c. Use this rubric to assess the performance task. 1. Multiplication Algorithms Assessment 2. Division Assessment 3. Missing Factor Worksheet 5a. Adding Decimals







5b. Subtracting Decimals 5c. Multiplying Decimals 5d. Division with Decimals 8. Order of Operations 9. Writing Numerical Expressions 9c. Rubric

Suggested Activities/Strategies:

1a-c. Use the attached resources and videos to teach and practice the traditional, partial products, and lattice algorithms for multiplication. 2a. Explain long division using this colorful, step-by-step tutorial. 2b. Practice long division using this practice sheet which includes scaffolding. 2c. Use this PowerPoint to teach "short" division. This method works well for advanced students who can do some steps mentally. 3-4. Use this interactive site to show students how to demonstrate multiplication and division using place value models. 5a. Watch this video to explain adding and subtracting decimals. 5b. Display these tips for adding and subtracting decimals. 5c. Use this interactive site to practice adding and subtracting decimals. 5d. Watch this PowerPoint presentation for explaining multiplication with decimals. 5e. Use this interactive site to allow students to practice multiplying decimals.

Resources/Technology: Pete's PowerPoints Explanations of Multiplication Algorithms Teacher Video Explaining Partial Products Division Worksheet Creator Decimal Worksheets Operations with Decimals Study Jams Videos Performance Task Bank


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5f. Watch this video for explaining division with decimals. 5g. Use these StudyJams videos and tutorials to teach operations with decimals. Click on the "decimals and percents" tab at top of the page. 6, 7a, & 7b. Use these virtual manipulatives to teach modeling addition and subtraction based on place value. 8a. Watch this rap video explaining PEMDAS. 8b. Use this interactive site to explain/practice using order of operations. 8c. Play the linked game to practice order of operations. 9a. Watch the PowerPoint presentation to teach writing numeric expressions. 9b. Play the matching game to practice numeric expressions. 9c. Complete "Sam the Slippery Spider" Performance Task.

1a. Standard Multiplication Algorithm 1b. Lattice Multiplication 1c. Video Modeling Partial Products with Base Ten Blocks 2a. Long Division Tutorial 2b. Long Division Practice 2c. Short Division PowerPoint 3-4. Interactive Model for Modeling Multiplication 5a. Video on Adding and Subtracting Decimals 5b. Tips for Adding/Subtracting Decimals 5c. Adding/Subtracting Decimals Interactive


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Site 5d. Multiplying Decimals PowerPoint 5e. Practice Multiplying Decimals 5f. Dividing Decimals Video 5g. Study Jams Videos 6-7a. Place Value Addition 6-7b. Modeling Subtraction 8a. Order of Operations Video 8b. Order of Operations Practice 8c. Order of Operations Game 9a. PowerPoint on Numeric Expressions 9b. Matching Game 9c. "Sam ..." Performance Task



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5.Math.1.3 Formulate, represent, and use algorithms to add and subtract fractions with flexibility, accuracy, and efficiency


1. How can estimation be used with fractions to see if your answer is reasonable?

2. How can finding equivalent fractions with like denominators help you to add and subtract fractions?

3. How can word problems be solved involving the adding and subtracting fractions?

Evidence Outcomes:

1. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

2. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions with like denominators.

3. Solve word problems involving addition and subtraction of fractions referring to the same whole.


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Assessment: 1. Complete the comparing fractions worksheet for assessment. 2a-c. Use these assessments for adding and subtracting unlike fractions. 1-3a & b. Use the assessments included within the units. 1-3c. Use this rubric to assess the performance task. 3. Use this worksheet as an assessment for fraction word problems. 1. Comparing Fractions Worksheet 2a. Adding Unlike Fractions Assessment 2b. Adding Unlike Fractions for Advanced Learners 2c. Unlike Fractions for Learners Needing Additional Assist 1-3a. Fabulous Fractions Unit 1-3b. Fractions Unit









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1-3c. "Lots of Chocolate" Rubric 3. Fraction Word Problems


1a. Watch the video explaining how to estimate using benchmark fractions. 1b. Compare fractions using fraction strip worksheets in order to give the students a visual model of fractional parts. 2a. Watch the “Thirteen Ways of Looking at a Half” slideshow and play the linked game. 2b. Watch the video explaining equivalent fractions. 2-3. View the Study Jams step-by-step tutorial explaining adding and subtracting unlike fractions. The demonstration uses a real world example. 1-3a. Follow the "Fabulous Fractions Unit" to find equivalent fractions and to add, subtract, and compare fractions. 1-3b. Use this comprehensive unit to teach adding and subtracting fractions. Performance Tasks are included. 1-3c. Complete the "Lots of Chocolate" Performance Task. 3. Use this interactive site to practice solving word problems involving fractions.

1a. Estimation with Fractions Video 1b. Fraction Strips Printable 2a. Thirteen Ways Video 2b. Equivalent Fractions Video 2-3. Study Jams Tutorial 1-3a. Fabulous Fractions Unit 1-3b. Fractions Unit 1-3c. "Lots of Chocolate" Performance Task 3. Fraction Word Problems

Resources/Technology: Free Printables Fabulous Fractions Unit Performance Task Bank




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5.Math.1.4 The concepts of multiplication and division can be applied to multiply and divide fractions


1. How is a fraction related to division?

2. How can the answer to a division problem be written as a fraction or mixed number?

3. What are some different ways to represent multiplying a fraction by a whole number?

4. How can you use tiling to show that the area of a rectangle can be found by multiplying the side lengths?

5. How can you use multiplication to find the area of a rectangle with fractional side lengths?

6. How is scaling related to multiplication?

7. How can you use the size of the factor to estimate the size of the product?

8. How can you find equivalent fractions by multiplying by a fraction equivalent to one?

9. How can you solve real-world problems involving multiplying fractions and mixed numbers?

10. How do you divide a unit fraction by a whole number?

11. How do you divide a whole number by a unit fraction?

12. How can you solve real-world problems involving division of fractions and whole numbers?

Evidence Outcomes:

1. Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b).

2. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

3. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. In general, (a/b) × (c/d) = ac/bd.

4. Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths.

5. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

6. Interpret multiplication as scaling (resizing).

7. Compare the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

8. Apply the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by one.

9. Solve real world problems involving multiplication of fractions and mixed numbers.

10. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients.




11. Interpret division of a whole number by a unit fraction, and compute such quotients.

12. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions.


fraction numerator denominator whole number mixed number equivalent tiling area scaling (resizing) factor unit fraction (a fraction with a numerator of 1) product quotient

Assessment: 1. Turn in the completed chart from Activity #1 for assessment. 2. Use this quiz to assess solving word problems with quotients involving fractional remainders. 3. Use this sheet to assess multiplying fractions by whole numbers. 4-5. Use this assessment on finding the area of rectangles with fractional side lengths. You can also give students the problems and let them draw their own models. 6-7a-b. Choose worksheets from these sites to assess multiplication as scaling. 7. Choose practice sheets from this site for assessment and have the students estimate the product before solving. 8. Use this assessment for equivalent fractions. 9. Use this practice sheet to assess word problems involving multiplication of fractions. 10-11. Use this assessment for dividing fractions by whole numbers, and whole numbers by fractions. To increase the depth of knowledge, have students draw models of each problem and then solve. 12b. Assess the modified recipe for accuracy. If the students calculated and measured correctly, the cookies will be edible and the students receive an "A" for the project!



1-12. Use the assessments included in the unit. Ideas for differentiation are included. 2. Word Problems with Fractional Remainders 3. Multiplying Fractions by Whole Numbers 4-5. Area of Rectangles with Fractional Sides 6-7a. Scaling and Resizing 1 6-7b. Scaling and Resizing 2 7. Fractions Worksheets 8. Equivalent Fractions Assessment 9. Multiplying Fractions Word Problems 10-11. Dividing Fractions and Whole Numbers Assessment 1-12. Fractions Unit

Suggested Activities/Strategies: 1. Complete this chart to show how a fraction is another way to write division. 2. Use this interactive site to teach division with fractional remainders. An explanation and practice problems are included. 3. Use this interactive site to practice multiplying fractions by whole numbers. 4-5a. Watch this video lesson explaining how to find the area of a rectangle with fractional side lengths by tiling. 4-5b. Follow this lesson plan to teach multiplying fractions using area models. 4-5c. Use this interactive site to practice modeling fraction multiplication with area models. Practice examples are included. 4-5d. Watch this video to explain how to model multiplication of fractions. 6. Make a map using scale. 6-7. Use this site to teach and give a

Resources/Technology: Equivalent Fractions Lessons Multiple Resources to Teach Fractions Resources/Sites for Multiplying Fractions Site for Generating Practice Sheets with Fractions Map Scale Activities





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demonstration on multiplication as scaling. 7. Practice estimating products of fractions using this site. 8a. Use these lesson plans to teach equivalent fractions. 8b. Use this interactive site to teach equivalent fractions. 8c. Watch this step-by-step explanation of how to find equivalent fractions. 9. Use this interactive site to allow students to practice solving word problems involving multiplying fractions. 10a. Use this lesson and explanation to teach dividing fractions by whole numbers. 10b. Practice dividing fractions by whole numbers using this interactive site. 10c. Watch this video on how to model dividing fractions by whole numbers. 11a. Watch this video on how to divide whole numbers by fractions. The video demonstrates how to draw models to represent the answer. 12a. Practice dividing fractions and whole numbers using this interactive site. 12b. Use recipe fractional quantities to solve real world problems. Divide the class into four groups. Give each group a copy of the recipe. The students must HALF the recipe. They should work together and compare answers. When finished, they will actually follow the directions to make the cookies. The teacher can work with the lunchroom to have the cookies baked or store the cookie dough in the refrigerator and take them home to bake. This activity also involves measuring. It is a great culmination to a unit on multiplying and



dividing fractions. 1-12. Use this fraction unit for multiple fraction concepts. The unit includes performance tasks and suggestions for differentiation. 1. Relating Fractions to Division 2. Division with Fractional Remainders 3. Multiplying Fractions by Whole Numbers Interactive Site 4-5a. Area of a Rectangle with Fractional Sides Video 4-5b. Explanation/Practice of Multiplying Fractional Sides 4-5c. Practice Modeling Multiplying Fractions 4-5d. Multiplying Fractions Video 6. Make a Map 6-7. Multiplication as Scaling 7. Practice Estimating the Size of Products 8a. Lesson Plans for Teaching Equivalent Fractions 8b. Equivalent Fractions Interactive Site 8c. Study Jams Video on Equivalent Fractions 9. Word Problems Multiplying Fractions 10a. Dividing Fractions by Whole Numbers 10b. Dividing Fractions by Whole Numbers Interactive Site 10c. Video on Dividing Fractions by Whole Numbers 10-11. Fraction Division Lesson 11a. Video on Dividing Whole Numbers by Unit Fractions 11b. Dividing Whole Numbers by Fractions 12a. Word Problems on Dividing Fractions by Whole Numbers 12b. Cookie Recipe 1-12. Fractions Unit



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5.Math.2.1 Number patterns are based on operations and relationships Essential Questions - 21st Century Skills and Readiness Competencies:

1. How can you generate two numerical patterns given rules?

2. How can you identify the relationship between corresponding terms?

3. How can you form and graph ordered pairs consisting of corresponding terms from two patterns?

4. How can you explain the relationship between corresponding terms in a pattern?

5. How can patterns be used to help you solve real world problems?

Evidence Outcomes:

1. Generate two numerical patterns using given rules.

2. Identify apparent relationships between corresponding terms.

3. Form ordered pairs consisting of corresponding terms from the two patterns, and graphs the ordered pairs on a coordinate plane.

4. Explain informally relationships between corresponding terms in the patterns.

5. Explain, extend, and use patterns and relationships in solving problems, including those involving saving and checking accounts such as understanding that spending more means saving less.


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Assessment: 1a-b. Complete number patterns as assessment for Activities 1 and/or 2. 4. Complete an in/out chart accurately as assessment when playing the "Guess my Rule" Game. 1-5. Use the "Pea Soup" Performance Task Rubric. 1-5. Use assessments in the Geometry/Coordinate Plane Unit. 1b. Input/Output Game Board 2. Number Patterns Assessment 2. Number Patterns Assessment 2 1-5a. Pea Soup Performance Task Rubric 1-5b. Geometry and the Coordinate Plane Unit


1a. Use the PowerPoint Game for practice finding numerical patterns.

Resources/Technology: Number Patterns Task Bank



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1b. Use in/out charts to illustrate the relationship between sets of numbers. Play the game to practice finding the missing number in a chart and seeing the corresponding graph. 2. Use the Number Patterns Performance Tasks. See the site for a variety of tasks in which students can extend patterns. 4. Play the "Guess My Rule" Game to practice finding number patterns. 1-5. Complete the Pea Soup Performance Task which incorporates all standards. 1-5. Use the Geometry/Coordinate Plane Unit Activities.

1a. Number Patterns PowerPoint 1b. Input/Output Game 2. Number Patterns Tasks 4. Guess My Rule Game and Patterns 1-5a. Pea Soup Performance Task 1-5b. Geometry and the Coordinate Plane Unit



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5.Math.3.1 Visual displays are used to interpret data Essential Questions - 21st Century Skills and Readiness Competencies:

1. How can you make a line plot to display a set of fractional measurements?

2. How do you use your knowledge of fractions to solve problems from information presented in a line plot?

Evidence Outcomes:

1. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).

2. Use operations on fractions for this grade to solve problems involving information presented in line plots.


data represent fraction line plot

Assessment: 1. Use completed line plots for assessment. 2. Collect the index cards from the students and create an assessment based upon the questions the class formulated. Students will answer the questions for a grade.


1a. Complete the line plot task. This can be adapted to measuring to the nearest 1/8 inch. 1b. Have students measure various items in the classroom to the nearest 1/8 inch (e.g., length of pencils, library books, shoes.) Collect the data and construct a collaborative line plot. 2. Then have students formulate questions from the line plot, write these on an index card, and answer on the back of the card. Sample questions might include, What is the combined length of the two longest objects? What is the difference in length between the longest and the shortest objects?

1a. Line Plot Task

Resources/Technology:





5.Math.4.1 Properties of multiplication and addition provide the foundation for volume an attribute of solids


1. How can you use cubes to find the volume of a rectangular prism? Why must you use cubic units?

2. How can you use modeling with cubes to justify the volume formula for rectangular prisms?

3. How can you use the associative property of multiplication to help find the volume of rectangular prisms?

4. How can you find the volume of a figure by counting cubes?

5. What are the different ways to write the volume formula for rectangular prisms?

6. How can you find the volume of a solid figure by adding the volumes of its parts?

Evidence Outcomes:

1. Model the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes.

2. Show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base.

3. Represent threefold whole-number products as volumes to represent the associative property of multiplication.

4. Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

5. Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths.

6. Use the additive nature of volume to find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts.


volume length width height associative property length of base (b) area of the base (B) cubic unit (cubic cm, cubic in., cubic ft.)

Assessment: 1-6a,b,c. Use these differentiated attachments to assess finding volume. 6. Use this assessment for volume of composite figures. 1-5a. Volume Assessment for Advanced Learners 1-5b. Volume Assessment for Learners Needing Additional Assist 1-6c. Volume Assessment Using Counting Cubes 6. Volume of Composite Figures











Suggested Activities/Strategies: 1-5a. Introduce volume by watching this video on what volume is, why we use cubic units, and the formulas for finding volume. 1-5b. Watch this StudyJams video to explain volume. 1. Students will use manipulatives to calculate the volume of three-dimensional shapes before and after a dimension is changed (e.g., If a rectangular prism is 7 x 3 x 6, what will be the change in its volume if the height is halved?) 2. Students will estimate the number of chickpeas it takes to fill their classroom. 3. Practice finding the volume of rectangular prisms using this interactive site. 3-4. Use this worksheet as guided practice for finding volume. 5. Given the length, width, and height of a box (rectangular prism), students find the volume of the shape by using LxWxH=Volume. 1-6a. Follow this lesson plan to teach volume. 1-6b. Follow this comprehensive volume unit. Many hands-on activities are included, as well as performance tasks. 1-5a. Volume Video 1-5b. Study Jams Volume Video 2. Estimating Chickpeas Video 3. Interactive Site to Practice Calculating Volume 3-4. Volume Guided Practice Sheet 5. Basic Volume 1-6a. Volume Lesson Plan 1-6b. Volume Unit



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5.Math.4.2 Geometric figures can be described by their attributes and specific locations in the plane


1. How can you use graphing coordinates to help solve real world problems?

2. How can you classify two-dimensional shapes based on their properties?

3. How can you classify two dimensional shapes into a hierarchy based on their attributes?

Evidence Outcomes:

1. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.

2. Classify two-dimensional figures into categories based on their properties.

3. Classify two-dimensional figures in a hierarchy based on properties. Explain that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.


graphing coordinates coordinate plane classify two-dimensional attributes properties sides vertices angles hierarchy

Assessment: 1a. Use the attached rubric to assess. 2. Use the assessment included in the Lesson Plan. 2-3. Use tasks and assessments included in the unit as assessment. Multiple types of activities are included, even ways to differentiate instruction. 1a. Rubric 2. Geometric Shapes Assessment 2-3. Geometry Unit


1. Graph ordered pairs using a variety of activities. This site includes games and art activities involving graphing. 1a. Using large graph paper, students will construct a map of a fictitious town. Plot ten common locations in the town, including a home, library, school, post office, grocery store, park, community center, friend’s house,





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and grandma's house. List locations and paired coordinates. Place plotted locations using symbols. 2. Follow the lesson plan for classifying two-dimensional shapes. (Omit the activities involving 3-D shapes. The plan was designed for 4th grade, but can be applied to 5th.) 2-3. Use the Geometry Unit which contains multiple tasks for teaching the classification of polygons (including using a hierarchy.)

1. Graphing Coordinates Activities 2. Lesson Plans for Classifying 2-D Figures 2-3. Geometry Unit


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Mathematics 5th Grade Math Standard 1 - Colorado ...coloradoplc.org/files/archives/grade_5_math.pdfMathematics 5th Grade Math Standard 1.1 5.Math.1.1 The decimal number system describes