Learning Expectations
4th Grade Math
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.

Algebraic Thinking Expectation

Activity

1. Describes, extends, and creates numerical and geometric patterns using a variety of models (for example, lists, tables, charts).


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2. Poses, solves, and explains problems by identifying a predictable visual or numerical pattern such as:

Input:123 7
Output:$3$6$9 ?


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3. Knows mathematical relationships in patterns (for example, the second shape is the first shape turned 90 degrees).

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4. Analyzes number patterns and states rules for relationships (for example, 2, 4, 7, 9, 12, ...; the rule: +2, +3, +2, +3, ...).


Game for Pattern Analysis

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5. Discusses, explains, and analyzes the rule that applies to the pattern.



What's your number?

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6. Applies the appropriate rule to complete a table or a chart such as:

Input Output
2 8
9 36
? 16
7 28



Game to Teach the Concept.

4 ways with rules and charts

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7. Solves problems involving equations or simple inequalities using manipulatives, diagrams, or models, symbolic expressions, or written phrases.

Simple Equations

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8. Uses a variable to represent a given verbal expression (for example, seven times a number is 7n).


Game to teach the Concept

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9. Translates problem-solving situations into expressions and equations using a variable for the unknown.

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10. Uses physical or pictorial models and graphs (for example, cubes, number lines) to solve equations or inequalities.

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