Multiplication & Division
Multiplication
Interpret products of whole numbers.
3.OA.A.1
Division
Interpret whole-number quotients of whole numbers.
3.OA.A.2
Multiplication Equations
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.OA.A.4
Division Equations
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.OA.A.4
Properties I
Apply properties of operations as strategies to multiply and divide Understand division as an unknown-factor problem. Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. Identify arithmetic patterns and explain them using properties of operations
3.OA.C.7, 3.OA.B.5, 3.OA.D.9, 3.OA.B.6
Properties II
Apply properties of operations as strategies to multiply and divide Identify arithmetic patterns and explain them using properties of operations.
3.OA.D.9, 3.OA.B.5
Multiplication Facts
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations.
3.OA.C.7
Division Facts
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations.
3.OA.C.7
Place Value
Rounding of Numbers
Use place value understanding to round whole numbers to the nearest 10 or 100.
3.NBT.A.1
Add & Subtract I
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.A.2
Add & Subtract II
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.A.2
Number Pattern: Addition
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.A.2
Number Pattern: Subtraction
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.A.1
Basic Operations
Single Operation
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity.
3.OA.D.8
Multiple Operations
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity.
3.OA.D.8
Fractions
Fractions with Shapes
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.A.1
Definition of Fraction
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.A.1
Fractions on Number Line
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.A.2
Fraction Representation
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
3.NF.A.2
Comparing Fractions I
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.A.3
Comparing Fractions II
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.A.3
Comparing Fractions III
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
3.NF.A.3
Measurement & Estimation
Time
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
3.MD.A.1
Length
Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units.
3.MD.A.2
Volume
Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units.
3.MD.A.2
Mass
Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units.
3.MD.A.2
Ruler
Measuring lengths using rulers marked with halves and fourths of an inch.
3.MD.B.4
Data: Picture Graph
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.B.3
Data: Bar Graph
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.B.3
Area
Recognize area as an attribute of plane figures and understand concepts of area measurement. Measure areas by counting unit squares.
3.MD.C.5, 3.MD.C.6
Area Word Problems
Relate area to the operations of multiplication and addition.
3.MD.C.7
Perimeter
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.MD.D.8
Geometry
Lines & Angles
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.
3.G.A.1
Shapes I
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.
3.G.A.1
Shapes II
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.
3.G.A.1
