At fourth grade, students gain a deeper understanding of mathematics. They will learn more about division, as well as writing whole numbers in the millions or more. They are also more emotionally independent at this stage, and able to verbalize their thoughts and feelings. This goes hand in hand with the more complex mathematical situations in real-world problem solving that they have to learn at this stage.
4th Grade Math
Learning Expectations

Number Sense Expectation

Activity

1. Reads, writes, and identifies whole numbers through millions or more.

fast numbers

My First Million

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2. Reads, writes, and identifies fractions and mixed numbers with denominators including 2, 3, 4, 5, 6, 8, 10, 12, 20, 25, 100, and 1000.

fast numbers on the board

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3. Reads, writes, and identifies decimals through hundredths.

New Money

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4. Uses language and symbols (>, <, =) to compare numbers in the same form and in two different forms such as _ < 1.

Greater than/less than relay

Number Twenty Questions!

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5. Compares and orders whole numbers through millions or more, using concrete materials, drawings, and numerals.


standing order

Quick More and Less Chart

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6. Compares and orders commonly used fractions and decimals to hundredths using concrete materials, drawings, and numerals.

Card Game Comparison

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7. Locates whole numbers, fractions, mixed numbers, and decimals on a number line.

Now that's a number line!

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8. Translates problem situations into diagrams and models using whole numbers, fractions, mixed numbers and decimals to hundredths including money notation.


Planning a Feast

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9. Uses concrete materials to model equivalent forms of whole numbers, fractions, and decimals.

United yet divided

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10. Knows that two numbers in different forms are equivalent or non-equivalent, using whole numbers, decimals, fractions, and mixed numbers.

Math Dominos

Matching Game

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11. Knows the value of a given digit in numbers from hundredths to millions, including writing and interpreting expanded forms of numbers.

How many zeroes?

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12. Uses concrete materials and symbolic notation to represent numbers in bases other than base ten, such as base five.

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13. Reads, writes, and compares the decimal number system to the Roman numeral system using the Roman numerals I, V, X, L, C, D, and M.

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14. Recalls (from memory) basic multiplication facts and related division facts.

Egg Carton Games

catch a fact

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15. Knows the inverse relationship of multiplication and division and demonstrates that relationship by writing related fact families.

Inverse concentration

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16. Explains and demonstrates the multiplication and division of whole numbers using manipulatives, drawings, and algorithms.


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17. Explains and demonstrates the addition and subtraction of common fractions using concrete materials, drawings, story problems, and algorithms.


Dramatic fractions

Dramatic fractions

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18. Explains and demonstrates the addition and subtraction of decimals (to hundredths) using concrete materials, drawings, story problems, and algorithms.


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19. Knows the properties of numbers including the following:
- the identity, commutative, and associative properties of addition
- the zero and identity properties of multiplication
- the commutative, associative, and distributive properties of multiplication.



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20. Predicts the relative size of solutions in:
- addition, subtraction, multiplication, and division of whole numbers.
- addition and subtraction of common fractions.
- addition and subtraction of decimals to hundredths.


Whole Number Prediction

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21. 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 and subtraction of decimals and fractions.


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



mental math minutes

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23. Explains the reason for choosing a particular computing method for a particular problem.




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24. Solves real-world multiplication problems with whole numbers (three digits by one digit) using concrete materials, drawings, and pencil and paper.



Taking inventory

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25. Solves real-world division problems having divisors of one digit and dividends of three digits, with and without remainders.



Divide the beads

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26. Solves real-world problems involving the addition or subtraction of decimals (to hundredths) or common fractions with like and unlike denominators.



Classic Shopping!

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


Lets order lunch!

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28. Estimates quantities of objects to 500 or more and justifies and explains the reasoning for the estimates (for example, using compatible numbers, benchmark numbers, unitizing).



How many beads?

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29. Multiplies by multiples of 10, 100 and 1,000 recognizing and demonstrating patterns.



Musical multiplication chairs

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30. Knows rules of divisibility for 2, 3, 5, 9, and 10.


Share the rules

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31. Uses models to identify perfect squares to 100.


quilt squares

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