Grade 5 In the Area of: Number Sense & Number Systems |
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| Recognize, identify, write, order, compare numbers to one million. | - Use place value charts. - Provide opportunities for varied applications of reading and writing numbers to one million. - Provide individual number charts for students' use. |
- Read number correctly to the millions. - Write numbers correctly to the millions. - Use a newspaper, to scan for amounts in thousands and millions. Explore place value using base ten blocks. |
Evaluate correct responses H T O H T O H T O
2 3 4 5 6 7 8 9 0 Write an extended notation. |
- Using beans and cups on color tiles, explore place value
with other bases. - Learn how to use an abacus. - Spend a million dollars. - One Million Smiles activities |
- Place Value Computing Abacus. - Base Ten Blocks - How Much is a Million - If You Made a Million - Understanding Place Value - Addition & Subtraction - Multiplication & Division - Creative Publications. - Zounds!, p.87. |
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Grade 5 In the Area of: Number Sense & Number Systems
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| 2
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| Mentally add and subtract two digit
numbers.
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- Provide opportunities for addition/subtraction with and
without regrouping. - Provide opportunities for adding ones place first, and then tens place first.
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Keep track of their progress using a chart or graph. Share strategies with classmates that they might find helpful. | Notice trends every two weeks, record weekly trends in math
journal. Graph progress.
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- Extend mental addition/subtraction into hundreds place. - Arrow Arithmetic with a hundred chart.
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- Using Big Numbers, Level C, Math Zone Series. - Constructing Ideas About Large Numbers, Creative Publications |
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Grade 5 In the Area of: Number Sense & Number Systems
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| 3
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| Add, subtract, extend concepts of fractions. (improper, proper and mixed numbers) | Use geoboards to illustrate types fractions and then facilitate comparison through guided questioning. | - Use fraction shapes and create numbers as required. - Write numerical sentences from manipulatives. - Use manipulatives to show equivalent fractions. (Ex: demonstrate fractions equivalent to one half.)
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Student arranges given fractions in correct sequence from
highest to lowest.
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- Use pattern blocks to show fractional relationships. - Use fraction dice and operation dice to practice fractional concepts.
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- Cooperative Problem Solving with Fraction Pieces,
Creative Publications. - Connections, Creative Publications. - Fraction Bars, Nasco.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 4
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| Demonstrate (with concrete materials) and use equivalent fractions interchangeably. | Use fraction circles, fraction squares, and/or fraction bars to introduce and reinforce the understanding of each concept | Play Fraction Bingo, Nasco. | Students successfully complete job cards.
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Use TexTiles and compare fractional parts. | - Fraction Factory , Creative Publications. - Constructing Ideas About Fractions, Creative Publications. - Fractions With Pattern Blocks, Creative Publications.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 5
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| Justify solutions to word
problems involving whole numbers, fractions and decimals.
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- Demonstrate a variety of strategies in solving
a problem. - Model creation of word problems involving interests of students.
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- Student will demonstrate a chosen strategy to
solve the problem and explain in writing how they reached the solution. - Student will explain solution verbally. - Create problems for classmates to solve (within stated parameters.)
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- Students describe in their journals ways to
insure they win the games. - Optional rubric system of evaluation.
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- Ask students to solve a problem using only a
specific strategy. - Figure cost of 5 items you'd buy in a catalog and compute sales tax. Generate a sale tax table for given rate. |
- 20 Thinking Questions for Fraction Circles
, Creative Publications - The Problem Solver Grade 5 , Creative Publications - Thinker Game , Creative Publications. - Math Zones, Level C.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 6
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| Develop ratios, as they relate to
scaling, through concrete models.
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Show students how to transfer drawings from 1/2" graph paper to 1" graph paper. | Transfer designs and drawings successfully from one scale to another. | Self-assessment. | Attempt to scale the pictures from large to small.
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A Collection of Math Lessons, Marilyn Burns.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 7
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| Demonstrate ability to extend mental math multiplication and division by powers of ten. |
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One Million Smiles activity. | - Connections, Grade 5. - Creative Publications. - Zounds!, p.87.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 8
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| Develop relationship of a square root to the squared number through models: area of squares. | Use geoboard to demonstrate relationship between perfect square and their roots. Analogous to square area and length of one side. | Cut graph paper into perfect squares. Make chart to demonstrate. Label with area terms and with square root notation. | Students find square root of 225 by any method and share reasoning. | Make picture book showing patterns of perfect squares.
Example: Sea Squares
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- Geoboard. - Chart paper. - Graph paper. - Sea Squares.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 9
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| Break down numbers: factors & prime factor form. |
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Write the prime factors of a given number using exponents. | ||
Grade 5 In the Area of: Number Sense & Number Systems
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| 10
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| Apply decimal place value concepts to
addition, subtraction, multiplication and division algorithms.
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Teacher models decimal application to specific algorithm. |
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__ __ _ _ _ _ _ X 15 =
Explain your answer. |
Use decimal square materials to show process of algorithms.
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- Decimal Squares. - Base Ten Blocks. |
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Grade 5 In the Area of: Number Sense & Number Systems
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| 11
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| Explain why order is significant for
subtraction or division and not for addition or multiplication.
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Use guided inquiry, "What happens if..." to establish significance of order in computation. | Use calculators to develop understanding order of operations. Give examples. | Calculator.
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Grade 5 In the Area of: Number Sense & Number Systems
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| 12
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| Demonstrate an understanding of
additive and multiplicative identity.
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Prepare chart for notebook or class display representing identity. Could be done using Wanted Poster format. Same as above using 1. | Student-generated rubric for chart assessment.
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- Create a transformation of zero as art project. - Explore possibilities of subtraction/division identities. Explain reasoning.
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