When students reach fifth grade, they are close to being ready for middle school - which is why strong math skills are important at this stage. They must learn how to perform operations on decimals, as well as recognize the relationships between fractions, decimals, and percentages. Fifth grade students are also more perceptive at this stage, enabling them to solve more complex mathematical problems.
5th Grade Math
Learning Expectations

Number Sense Expectation

Activity

1. Reads, writes, and identifies whole numbers, fractions, mixed numbers, and decimals through thousandths.

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Place Value Train

Blackjack - without the betting ;)

2. Reads, writes, and identifies common percents including 10%, 20%, 25%, 30%, 40%, 50%, 60%, 70%, 75% , 80%, 90%, and 100%.

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One Hundred Line

3. Compares and orders whole numbers, commonly used fractions, percents, and decimals to thousandths using concrete materials, number lines, drawings, numerals, and symbols (>, <, =).

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4. Translates problem situations into diagrams, models, and numerals using whole numbers, fractions, mixed numbers, decimals, and percents.

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5. Knows that numbers in different forms are equivalent or nonequivalent, using whole numbers, decimals, fractions, mixed numbers, and percents.

How Many Ways?Concentration

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6. Knows that place value relates to powers of 10.

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7. Expresses numbers to millions or more in expanded form using powers of ten, with or without exponential notation.

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8. Explains the similarities and differences between the decimal (base 10) number system and other number systems that do or do not use place value.

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9. Explains and demonstrates the multiplication of common fractions using concrete materials, drawings, story problems, symbols, and algorithms.

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10. Explains and demonstrates the multiplication of decimals to hundredths using concrete materials, drawings, story problems, symbols, and algorithms.

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11. Predicts the relative size of solutions in the following:
- addition, subtraction, multiplication, and division of whole numbers
- addition, subtraction, and multiplication of fractions, decimals, and mixed numbers, with particular attention given to fraction and decimal multiplication (for example, when two numbers less than one are multiplied, the result is a number less than either factor)

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12. Explains and demonstrates the inverse nature of multiplication and division, with particular attention to multiplication by a fraction (for example, multiplying by _ yields the same result as dividing by 4).

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13. Explains and demonstrates the commutative, associative, and distributive properties of multiplication.

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14. Uses problem-solving strategies to determine the operation(s) needed to solve one- and two-step problems involving addition, subtraction, multiplication, and division of whole numbers, and addition, subtraction, and multiplication of decimals and fractions.

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15. Solves real-world problems involving addition, subtraction, multiplication, and division of whole numbers, and addition, subtraction, and multiplication of decimals, fractions, and mixed numbers using an appropriate method (for example, mental math, pencil and paper, calculator).

Refiguring a Recipe

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16. Chooses, describes, and explains estimation strategies used to determine the reasonableness of solutions to real-world problems.

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17. Estimates quantities of objects to 1000 or more and justifies and explains the reasoning for the estimate (for example, using benchmark numbers, unitizing).

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18. Finds factors of numbers to 100 to determine if they are prime or composite.

Finding Primes on a Hundreds Chart

Prime Pathways

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19. Expresses a whole number as a product of its prime factors.

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20. Determines the greatest common factor or the least common multiple of two numbers up to 100 or more.

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21. Multiplies by powers of 10 (100, 1,000, and 10,000) demonstrating patterns.

Just Adding Zeros

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22. Identifies and applies rules of divisibility for 2, 3, 4, 5, 6, 9, and 10.

Number collages

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23. Uses models to identify perfect squares to 144.

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