**Unit 3 Big Ideas **

*Students will be able to:*

- Read, write and demonstrate multiple equivalent representations for numbers up to 100,000 using objects, visual representations, including standard form, word form, expanded form, and expanded notation.
- Compare whole numbers through the hundred thousands, and represent the comparisons using the symbols >, < or =.
- Round a whole number to the tens or hundreds place, using place value understanding or a visual representation.
- Add and subtract within 1,000 with or without regrouping.
- Determine the reasonableness of whole number sums and differences in real-world problems using estimation, compatible numbers, mental computations, or other strategies.
- Solve real-world problems involving two-step equations (involving two operations) involving whole numbers using addition and subtraction.

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**Unit 2 Big Ideas**

*Students will be able to:*

- Use drawings, words, arrays, symbols, repeated addition, equal groups, and number lines to explain the meaning of multiplication.
- Multiply one digit whole numbers by multiples of 10 in the range of 10 to 90.
- Use objects, drawings, arrays, words and symbols to explain the relationship between multiplication and division (e.g., if 3 x 4 = 12 then 12 ÷ 3 = 4).
- Identify arithmetic patterns (including patterns in the addition or multiplication tables) using properties of operations.
- Interpret a multiplication equation as equal groups (e.g., interpret 4 × 6 as the total number of objects in four groups of six objects each). Represent verbal statements of equal groups as multiplication equations.
- Apply the commutative, associative, and distributive properties as strategies to multiply and divide.
- Find the area of a rectangle with whole-number side lengths by modeling with unit squares, and show that the area is the same as would be found by multiplying the side lengths.

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