How to learn Grade 3: Mathematics

Common Core State Standards for Mathematics, Grade 3

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1. NBT · Use place value understanding and properties of operations to perform multi-digit arithmetic.

1. Rounding to 10, 100, 1000: Round any number to the nearest 10, 100, or 1000
2. Fluent adding and subtracting within 1000: Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and subtraction
3. Multiplying by Tens: Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations

2. OA · Represent and solve problems involving multiplication and division.

1. What Multiplication Means: Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
2. What Division Means: Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
3. Multiplication and Division Word Problems: Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
4. Unknown in Multiplication & Division: Determine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)

3. OA · Understand properties of multiplication and the relationship between multiplication and division.

1. Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
2. Division as Unknown Factor: Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)

4. OA · Multiply and divide within 100.

1. Fluent multiplication and division facts: Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division

5. OA · Solve problems involving the four operations, and identify and explain patterns in arithmetic.

1. Two-Step Equations: Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
2. Patterns in Times Tables: Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations