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Math Goodies Aligned with the Common Core Standards


Common Core State Standards for Mathematics Grade 3
Domain 3.OA - Operations and Algebraic Thinking
Represent and solve problems involving multiplication and division. Lessons
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. Writing Algebraic Expressions
3.OA.2 Interpret 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, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. Writing Algebraic Expressions
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. Writing Algebraic Equations
3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. Writing Algebraic Equations
Understand properties of multiplication and the relationship between multiplication and division. Lessons
3.OA.5 Apply properties of operations as strategies to multiply and divide. Integer Multiplication
3.OA.6 Understand division as an unknown-factor problem. Challenge Exercises for Integers
Multiply and divide within 100. Lessons
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. Integer Multiplication
Integer Division
Multiplying Decimals and Whole Numbers
Multiplying Decimals
Dividing Decimals by Whole Numbers
Solve problems involving the four operations, and identify and explain patterns in arithmetic. Lessons
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. Order of Operations
Order of Operations with Exponents
Order of Operations with Integers
Writing Algebraic Expressions
Estimating Decimal Sums
Estimating Decimal Differences
Solving Decimal Word Problems
Practice Exercises for Decimals Part I
Challenge Exercises forDecimals Part I
Estimating Decimal Products
Multiplying Decimals and Whole Numbers
Multiplying Decimals
Estimating Decimal Quotients
Dividing Decimals by Whole Numbers
Rounding Decimal Quotients
Dividing Decimals by Decimals
Solving More Decimal Word Problems
Practice Exercises for Decimals Part II
Challenge Exercises for Decimals Part II
3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Exponents
Patterns and Exponents
Writing Fractions as Percents
Multiplying Decimals and Whole Numbers
Dividing Decimals by Decimals
Domain 3.NBT - Number and Operations in Base Ten
Use place value understanding and properties of operations to perform multi-digit arithmetic. Lessons
3.NBT.1 Use place value understanding to round whole numbers to the nearest 10 or 100. Introduction to Decimals
Reading and Writing Decimals
Comparing Decimals
Ordering Decimals
Estimating Decimal Sums
Estimating Decimal Differences
Solving Decimal Word Problems
Practice Exercises for Decimal Part I
Challenge Exercises for Decimals Part I
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. Number Properties Worksheets
Adding Decimals
Subtracting Decimals
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. Multiples and LCM
Patterns and Exponents
Domain 3.NF - Number and Operations - Fractions
Develop understanding of fractions as numbers. Lessons
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. Introduction to Fractions
3.NF.2 Understand a fraction as a number on the number line; represent fractions on a number line diagram. Comparing Fractions
3.NF.3 Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Equivalent Fractions
  3.NF.3.a  Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Equivalent Fractions
  3.NF.3.b  Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model. Equivalent Fractions
  3.NF.3.c  Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Classifying Fractions
Equivalent Fractions
  3.NF.3.d  Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model. Comparing Fractions
Domain 3.MD - Measurement and Data
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. Lessons
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. Converting Mixed Numbers to Fractions
Represent and interpret data. Lessons
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. Bar Graphs
Constructing 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 units— whole numbers, halves, or quarters. Line Graphs
Constructing Line Graphs
Geometric measurement: understand concepts of area and relate area to multiplication and to addition. Lessons
3.MD.5 Recognize area as an attribute of plane figures and understand concepts of area measurement. Area of Rectangles
Area of Parallelograms
Area of Triangles
Area of Trapezoids
Practice Exercises for Perimeter & Area
Challenge Exercises for Perimeter & Area
3.MD.7 Relate area to the operations of multiplication and addition. Area of Rectangles
Area of Parallelograms
Area of Triangles
Area of Trapezoids
Prime and Composite Numbers
  3.MD.7.b  Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. Area of Rectangles
Practice Exercises for Perimeter & Area
Challenge Exercises for Perimeter & Area
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures. Lessons
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. Perimeter of Polygons
Practice Exercises for Perimeter & Area
Challenge Exercises for Perimeter & Area
Domain 3.G - Geometry
Reason with shapes and their attributes. Games
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. Geometry and a Shoebox


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