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# Pennsylvania Common Core Standards Third Grade Mathematics resources

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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.

Flip Charts Math Grade 4

Flip Charts Polygons

Flip Charts Polygons

3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Triangle Tricks

Flip Charts Understanding Fractions

Flip Charts Understanding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line

Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Measurement and Data

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.

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Dot to Dot

Flip Charts Math Grade 4

Flip Charts Shape Up

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

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.5(a) A 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.

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

3.MD.5(b) A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

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

Flip Charts Area, Volume & Perimeter

Flip Charts Area, Volume & Perimeter

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

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

3.MD.7(a) Find 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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Perimeter

3.MD.7(c) Use 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 x b and a x c. Use area models to represent the distributive property in mathematical reasoning.

Flip Charts Math Grade 4

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

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 two-step ''how many more'' and ''how many less'' problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

Flip Charts Data & Graphs

Flip Charts Math Grade 2

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs and Charts

Quiz, Flash Cards, Worksheet, Game & Study Guide Tables and Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Represent Data

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.

Flip Charts Customary & Metric Units of Measurement

Flip Charts Customary & Metric Units of Measurement

Flip Charts Geometry & Measurement

Flip Charts Geometry & Measurement

Flip Charts Length, Capacity, Weight & Temperature

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Objects

Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

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.

Flip Charts All About Time

Flip Charts Math Grade 2

Quiz, Flash Cards, Worksheet, Game & Study Guide Calendar

Quiz, Flash Cards, Worksheet, Game & Study Guide Time

Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Time

Quiz, Flash Cards, Worksheet, Game & Study Guide Time

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 one-step 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.

Flip Charts Customary & Metric Units of Measurement

Flip Charts Customary & Metric Units of Measurement

Flip Charts Length, Capacity, Weight & Temperature

Flip Charts Math Grade 2

Flip Charts Math Grade 4

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Objects

Quiz, Flash Cards, Worksheet, Game & Study Guide Determine Appropriate Standard of Units

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

Quiz, Flash Cards, Worksheet, Game & Study Guide Units of Measure

Number and Operations in Base Ten

Use place value understanding 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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Rounding to Nearest 10

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.

Flip Charts Adding & Subtracting Three-digit Numbers

Flip Charts Adding & Subtracting Three-digit Numbers

Flip Charts Adding Two-digit Numbers

Flip Charts Adding Two-digit Numbers

Flip Charts Columns Across

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Step It Up

Flip Charts Subtracting Two-digit Numbers

Flip Charts Subtracting Two-digit Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Addition

Quiz, Flash Cards, Worksheet, Game & Study Guide 3 Digit Subtraction

Quiz, Flash Cards, Worksheet, Game & Study Guide 4 Digit Addition

Quiz, Flash Cards, Worksheet, Game & Study Guide Addition Facts

Quiz, Flash Cards, Worksheet, Game & Study Guide Addition/Subtraction

Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition

Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition without Regrouping

Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Subtraction

Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide One More, One Less

Quiz, Flash Cards, Worksheet, Game & Study Guide Regrouping

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Subtraction Facts

3.NBT.3. Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 x 80, 5 x 60) using strategies based on place value and properties of operations.

Flip Charts Columns Across

Flip Charts Function Machine

Flip Charts Magic Squares

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

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.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Triangle Tricks

Flip Charts Understanding Fractions

Flip Charts Understanding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line

Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

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

3.NF.2(a) Represent 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. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line

3.NF.2(b) Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line

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

3.NF.3(a) Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Understanding Fractions

Flip Charts Understanding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide 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.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Understanding Fractions

Flip Charts Understanding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

3.NF.3(c) Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.

Flip Charts Adding & Subtracting Fractions

Flip Charts Adding & Subtracting Fractions

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Fraction Concepts

Flip Charts Fraction Concepts

Flip Charts Math Grade 2

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Triangle Tricks

Flip Charts Understanding Fractions

Flip Charts Understanding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Decimals

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Decimals/Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Number Line

Quiz, Flash Cards, Worksheet, Game & Study Guide Pattern Blocks

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

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.

Flip Charts All About Fractions

Flip Charts All About Fractions

Flip Charts Box It Up

Flip Charts Math Grade 3

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Comparing Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equivalent Fractions to 1/2

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fractions Greater Than or Less Than 1/2

Operations and Algebraic Thinking

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

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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Multi-step Word Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving

Quiz, Flash Cards, Worksheet, Game & Study Guide Story Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

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 that 8 x 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.

Flip Charts Columns Across

Flip Charts Dividing Two-digit Numbers

Flip Charts Dividing Two-digit Numbers

Flip Charts Division Concepts & Strategies

Flip Charts Division Concepts & Strategies

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Multiplication Concepts & Strategies

Flip Charts Multiplication Concepts & Strategies

Flip Charts Multiplication Table

Flip Charts Multiplication Table

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

Flip Charts Step It Up

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Double Digit Addition without Regrouping

Quiz, Flash Cards, Worksheet, Game & Study Guide More Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Odd/Even

Quiz, Flash Cards, Worksheet, Game & Study Guide One More, One Less

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

Understand properties of multiplication and the relationship between multiplication and division.

3.OA.5. Apply properties of operations as strategies to multiply and divide. Examples: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known. (Commutative property of multiplication.) 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x 2 = 10, then 3 x 10 = 30. (Associative property of multiplication.) Knowing that 8 x 5 = 40 and 8 x 2 = 16, one can find 8 x 7 as 8 x (5 + 2) = (8 x 5) + (8 x 2) = 40 + 16 = 56. (Distributive property.)

Flip Charts Adding & Subtracting Number Sense

Flip Charts Adding & Subtracting Number Sense

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Associative Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative Property

Quiz, Flash Cards, Worksheet, Game & Study Guide Commutative/Associative Properties

3.OA.6. Understand division as an unknown-factor problem. For example, find 32 / 8 by finding the number that makes 32 when multiplied by 8.

Flip Charts Dividing Two-digit Numbers

Flip Charts Dividing Two-digit Numbers

Flip Charts Math Grade 4

Represent and solve problems involving multiplication and division.

3.OA.1. Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.

Flip Charts Math Grade 3

Flip Charts Math Grade 4

Flip Charts Multiplication Concepts & Strategies

Flip Charts Multiplication Concepts & Strategies

Flip Charts Multiplication Table

Flip Charts Multiplication Table

Flip Charts Multiplying Two-digit Numbers

Flip Charts Multiplying Two-digit Numbers

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. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 / 8.

Flip Charts Columns Across

Flip Charts Dividing Two-digit Numbers

Flip Charts Dividing Two-digit Numbers

Flip Charts Division Concepts & Strategies

Flip Charts Division Concepts & Strategies

Flip Charts Function Machine

Flip Charts Magic Squares

Flip Charts Math Grade 3

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Division

Quiz, Flash Cards, Worksheet, Game & Study Guide Division/Multiplication

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

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.

Quiz, Flash Cards, Worksheet, Game & Study Guide Problem Solving

Quiz, Flash Cards, Worksheet, Game & Study Guide Word Problems

Mathematical Practices

MP.1. Make sense of problems and persevere in solving them.

Flip Charts Math Grade 3

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies

Flip Charts Problem Solving Strategies