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California Common Core Content Standards

Overview:

Third grade students develop an understanding of multiplication and division and learn to fluently multiply and divide within 100.  Students are expected to know from memory all products of two one-digit numbers by the end of third grade.   Place value understanding is used for multi-digit computation and estimation.  Fractions are introduced in the third grade with an emphasis on understanding fractions as numbers and their relative size and placement on the number line.  In third grade students understand concepts of area and perimeter and solve problems using liquid volume and mass.

Operations and Algebraic Thinking

·         Solve multiplication and division word problems

·         Understand the properties of multiplication

·         Commutative property of multiplication:

If you know 6 x 4 = 24, then you know 4 x 6 = 24.

·         Associative property of multiplication:

3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30,

or by 5 x 2 = 10, then 3 x 10 = 30.

·         Distributive property of multiplication:

If 8 x 5 = 40 and 8 x 2 = 16, then 8 x 7 is:

8 x (5 + 2)

(8 x 5) + (8 x 2)

40 + 16 = 56.

·         Fluently multiply and divide within 100

·         Solve word problems with addition, subtraction, multiplication, and division

Number and Base Ten Operations

·         Understand that multiplication and division are related

·         Use place value to round numbers and know the value of each digit in a four-digit number

·         Use place value understanding to solve multi-digit arithmetic

Number and Operations – Fractions

·         Understand fractions as numbers

·         Recognize simple equivalent fractions

·         Compare two fractions with the same numerator or the same denominator

Measurement and Data

·         Tell and write time to the nearest minute

·         Estimate and measure time, volume, and weight

·         Understand area and perimeter

Geometry

·         Understand that shapes in different categories can also be in a larger category

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