Learning Standards by Strand
Patterns, Relations, and Algebra
for Grades 3-4
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Understand patterns, relations, and functions |
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Represent and analyze mathematical situations and structures using algebraic symbols |
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Use mathematical models to represent and understand quantitative relationships |
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Analyze change in various contexts |
Learning Standards
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
| 4.P.1 |
Create, describe, extend, and explain symbolic (geometric) and numeric patterns, including multiplication patterns like 3, 30, 300, 3000, .... |
| 4.P.2 |
Use symbol and letter variables (e.g., Δ, x) to represent unknowns or quantities that vary in expressions and in equations or inequalities (mathematical sentences that use =, <, >). |
| 4.P.3 |
Determine values of variables in simple equations, e.g., 4106 -  = 37, 5 =  + 3, and  - = 3. |
| 4.P.4 |
Use pictures, models, tables, charts, graphs, words, number sentences, and mathematical notations to interpret mathematical relationships. |
| 4.P.5 |
Solve problems involving proportional relationships, including unit pricing (e.g., four apples cost 80¢, so one apple costs 20¢) and map interpretation (e.g., one inch represents five miles, so two inches represent ten miles). |
| 4.P.6 |
Determine how change in one variable relates to a change in a second variable, e.g., input-output tables. |
Exploratory Concepts and Skills
- Use concrete materials to build an understanding of equality and inequality.
- Explore properties of equality in number sentences: when equals are added to equals, then the sums are equal; when equals are multiplied by equals, then the products are equal, e.g., if = 5, then 3 x = 3 x 5.
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