3.OA Operations & Algebraic Thinking
3.OA.A Represent and solve problems involving multiplication and division
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3.OA.A.1Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. -
3.OA.A.2Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares. -
3.OA.A.3Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities. -
3.OA.A.4Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.OA.B Understand properties of multiplication and the relationship between multiplication and division
3.OA.C Multiply and divide within 100
3.OA.D Solve problems involving the four operations, and identify and explain patterns in arithmetic
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3.OA.D.8Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. -
3.OA.D.9Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
3.NBT Number & Operations in Base Ten
3.NBT.A Use place value understanding and properties of operations to perform multi-digit arithmetic
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3.NBT.A.1Use place value understanding to round whole numbers to the nearest 10 or 100. -
3.NBT.A.2Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. -
3.NBT.A.3Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations.
3.NF Number & Operations — Fractions
3.NF.A Develop understanding of fractions as numbers
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3.NF.A.1Understand 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.A.2Understand a fraction as a number on the number line; represent fractions on a number line diagram. -
3.NF.A.2.ARepresent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. -
3.NF.A.2.BRepresent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. -
3.NF.A.3Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. -
3.NF.A.3.AUnderstand two fractions as equivalent if they are the same size, or the same point on a number line. -
3.NF.A.3.BRecognize and generate simple equivalent fractions. Explain why the fractions are equivalent. -
3.NF.A.3.CExpress whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. -
3.NF.A.3.DCompare two fractions with the same numerator or the same denominator by reasoning about their size. Record the results of comparisons with the symbols >, =, or <.
3.MD Measurement & Data
3.MD.A Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects
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3.MD.A.1Tell 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. -
3.MD.A.2Measure and estimate liquid volumes and masses of objects using standard units of grams, kilograms, and liters. Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes.
3.MD.B Represent and interpret data
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3.MD.B.3Draw 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 the graphs. -
3.MD.B.4Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot where the horizontal scale is marked in appropriate units.
3.MD.C Geometric measurement: understand concepts of area and relate area to multiplication and to addition
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3.MD.C.5Recognize area as an attribute of plane figures and understand concepts of area measurement. -
3.MD.C.5.AA square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area. -
3.MD.C.5.BA plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. -
3.MD.C.6Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). -
3.MD.C.7Relate area to the operations of multiplication and addition. -
3.MD.C.7.AFind the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths. -
3.MD.C.7.BMultiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real-world and mathematical problems. -
3.MD.C.7.CUse tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property. -
3.MD.C.7.DRecognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas.
3.MD.D Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
3.G Geometry
3.G.A Reason with shapes and their attributes
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3.G.A.1Understand that shapes in different categories may share attributes, and that the shared attributes can define a larger category. Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. -
3.G.A.2Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.