Common Core Standards: Grade 3

3.OA. Operations and Algebraic Thinking

Represent and solve problems involving multiplication and division.

3.OA.1. Interpret products of whole numbers, e.g., interpret 5Ã—7 as the total number of objects in 5 groups of 7 objects each.

3.OA.2. Interpret wholenumber quotients of whole numbers, e.g., interpret 56Ã·8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 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.4. Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

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 unknownfactor problem.

Multiply and divide within 100.

3.OA.7. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing 8 Ã— 5 = 40, one knows 40 Ã· 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two onedigit numbers.

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

3.OA.8. Solve twostep 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.

3.OA.9. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.

3.NBT. Number and Operations in Base Ten

Use place value understanding and properties of operations to perform multidigit arithmetic.

3.NBT.1. Use place value understanding to round whole numbers to the nearest 10 or 100.

3.NBT.2. Fluently 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.3. Multiply onedigit whole numbers by multiples of 10 in the range 10 â€“ 90 (e.g., 9 Ã— 80, 5 Ã— 60) using strategies based on place value and properties of operations.

3.NF. Number and OperationsFractions

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.2. Understand a fraction as a number on the number line; represent fractions on a number line diagram.

3.NF.3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

3.MD. Measurement and Data

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

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.2. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve onestep word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.

Represent and interpret data.

3.MD.3. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one and twostep â€œhow many moreâ€ and â€œhow many lessâ€ problems using information presented in scaled bar graphs.

3.MD.4. Generate 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 off in appropriate unitswhole numbers, halves, or quarters.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

3.MD.5. Recognize area as an attribute of plane figures and understand concepts of area measurement.

3.MD.6. Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

3.MD.7. Relate area to the operations of multiplication and addition.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

3.MD.8. Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.

3.G. Geometry

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.


Classifying reallife
objects as Rectangles, Squares, Circles, or Triangles

Identifying
Rectangles, Squares, Circles, and Triangles

Identifying and
counting the number of Rectangles, Squares, Circles, and Triangles from a set
of figures

Identifying and
counting the number of Rectangles, Squares, and Triangles within a composite
figure




Given a picture,
identify the type of quadrilateral (trapezoids, parallelograms, rectangles,
squares, rhombi)

Given a written
description, identify the type of quadrilateral (trapezoids, parallelograms,
rectangles, squares, rhombi)

Determining unknown
angles in parallelograms

Determining unknown
angles in trapezoids

3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.