|Common Core State Standards for Mathematics
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|Operations and Algebraic Thinking|
|Represent and solve problems involving multiplication and division.
Solve problems involving the four operations and identify and explain patterns in arithmetic.
3.OA.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
3.OA.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
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Understand properties of multiplication and the relationship between multiplication and division.
|3.OA.5 Apply properties of operations as strategies to multiply and divide.
3.OA.6 Understand division as an unknown-factor problem.
3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
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|Number and Operations in Base 10|
|Use place value and properties of operations to perform multi-digit arithmetic.|
3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100.
3.NBT.3 Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
|Number and Operations - Fractions|
|Develop understanding of fractions as numbers.|
3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
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|Measurement and Data|
|Solve problems involving intervals of time, liquid volumes, and masses of objects.
Represent and interpret data.
Understand concepts of area and relate area to multiplication and addition.
Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
3.MD.1 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
3.MD.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs.
3.MD.5 Recognize area as an attribute of plane figures and understand concepts of area measurement.
3.MD.7 Relate area to the operations of multiplication and addition.
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|Reason with shapes and their attributes|
3.G.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
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