Third Grade Math 


 

Code

Standard

Khan Practice

Learnzillion

EveryDay Math

3.OA.A.1

Interpret products of whole numbers, e.g., interpret 5 × 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 × 7.

 

1.         Interpret products by drawing pictures

2.         Interpret products using repeated addition

3.         Interpret products using arrays

4.         Interpret products using a number line

 

4*1, 4*2, 4*3, 4*8, 7*1, 7*3, 9*2 Algorithm Project 3

 

3.OA.A.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.

 

1.         Solve division problems by drawing pictures

2.         learnzillion.com/lessons/1517-divide-using-a-sharing-model

3.         Divide using repeated subtraction

4.         Visualizing a division word problem

4*3, 4*4, 4*6, 7*3, 9*6, 9*7

 

3.OA.A.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.

 

1.         Solve word problems using the idea of equal groups

2.         Solve word problems about equal groups Solve equal groups problems using arrays by drawing a model

3.         Solve measurement problems by drawing a model

4*1, 4*2, 4*3, 4*4, 7*3, 7*4, 7*7, 7*8, 8*5, 9*1, 9*2, 9*3, 9*4, 9*5, 9*6, 9*7, 9*8, 9*11, 9*12, 10*4, 10*8

 

3.OA.A.4

Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?

1  1-digit division

2  Basic division

3  Multiplying 1-digit numbers

Find the missing quotient in a division problem

4*1, 4*2, 4*3, 4*4, 4*6, 7*1, 7*2, 7*3, 7*4, 9*12

 

3.OA.B.5

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

 

1.         Understand the commutative property by naming arrays

2.         Understand the commutative property of multiplication in word problems

3.         Understand multiplication and division relationships

4.         Use the commutative and associative properties to solve 3 factor word problems

4*1, 4*2, 4*5, 4*6, 4*7, 7*2, 7*3, 8*5, 9*2, 9*4, 9*6, 9*11, 9*12
Project 7

 

3.OA.B.6

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

 

1.         Interpret division as an unknown factor problem using arrays

2.         Interpret division as an unknown factor problem using fact families

3.         Interpret division as an unknown factor problem using a bar model

4.         Interpret division as an unknown factor problem using a number line

4*3, 4*4, 4*6, 7*3, 7*6, 9*1

 

3.OA.C.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.

 

1.         Multiply using doubles pattern

2.         Multiply using the half-of-ten strategy

3.         Multiply by subtracting from groups of ten

4.         Multiply by combining known facts

4*1, 4*2, 4*3, 4*4, 4*5, 4*6, 4*7, 4*8, 5*4, 5*6, 5*8, 5*12, 6*7, 6*12, 7*1, 7*2, 7*3, 7*4, 7*5, 7*6, 9*5, 9*6, 9*7, 9*9, 9*12, 10*4, 10*6, 11*1

 

3.OA.D.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.

1  Multiplication and division word problems

1.         Solving two-step word problems using a model

2.         Solve two-step problems using parenthesis

3.         Solve two-step problems using letters to represent unknowns

4.         Estimate solutions to two-step word problems

2*7, 2*8, 2*9, 4*1, 7*4, 7*5, 7*7, 9*1, 9*2, 9*5, 10*7, 10*9
Length of Day Project, Projects 6 and 7, Algorithm Projects 1 and 2

 

3.OA.D.9

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

 

1.         Identify addition and subtraction patterns using a hundreds chart

2.         Identify patterns on an addition chart

3.         Identify patterns on a multiplication chart

4.         Identify patterns using number lines

1*9, 2*1, 2*2, 4*5, 4*6, 4*8, 7*1, 7*2

 

3.NBT.A.1

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

 

1.         Understand the value of a digit in a multi-digit number

2.         Find benchmark numbers using a number line

3.         Find the midpoint between two whole numbers

4.         Round to the nearest ten using a number line

1*11, 2*7, 2*8, 7*7, 9*5

 

3.NBT.A.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.

1  Addition with carrying

2  Subtraction with borrowing

1.         Use addition and subtraction fact families to solve for unknown amounts

2.         Solve addition problems using complements of ten

3.         Solve addition word problems by identifying key phrases

4.         Solve subtraction word problems by identifying key phrases

1*4, 1*8, 1*9, 1*10, 1*11, 1*13, 2*1, 2*2, 2*3, 2*4, 2*5, 2*6, 2*7, 2*8, 2*9, 3*5, 4*5, 7*4, 9*3, 9*4, 9*5, 9*8, 9*9, 9*11, 9*12, 9*13

National High/Low Temperatures Project, Algorithm Projects 1 and 2

 

3.NBT.A.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.

1  Multiplying by multiples of 10

1.         Multiply by multiples of 10 with base ten blocks

2.         Multiply by multiples of 10 using number lines

3.         Multiply by mutliples of 10 using arrays

4.         Multiply by mutliples of 10 by breaking apart the multiple of ten into 2 factors

7*6, 7*7, 7*8, 9*1, 9*2, 9*3, 9*11, 9*12

 

3.NF.A.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.

 

1.         Understand fractions as fair shares

2.         Represent fractions in different ways

3.         Write fractions with numerator and denominator

4.         Understand why the larger the denominator, the smaller the fractional parts using models and real world examples

5*7, 5*9, 5*10, 8*1, 8*4, 8*5, 8*7, 11*3, 11*4

 

3.NF.A.2

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

1  Fractions on the number line 1

 

3*2, 8*4, 8*5, 8*6, 8*7, 8*8, 9*2

 

3.NF.A.2a

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.

1  Fractions on the number line 1

Plot a unit fraction on a number line

3*2, 8*4, 8*5, 8*8, 9*2

 

3.NF.A.2b

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.

 

 

3*2, 8*4, 8*5, 8*7, 8*8, 9*2

 

3.NF.A.3

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

1  Comparing fractions 1

 

8*4, 8*5, 8*8, 9*3, 9*5, 10*2, 11*3

 

3.NF.A.3a

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

 

1.         Identify equivalent fractions using fraction models

2.         Identify equivalent fractions using a number line

3*2, 8*4, 8*5, 8*6, 8*7, 8*8

 

3.NF.A.3b

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.

 

1.         Identify equivalent fractions using fraction strips

2.         Generate equivalent fractions using fraction models

3.         Create equivalent fractions by modeling with pattern blocks

4.         Use circle models to find simple equivalent fractions

5.         Use area models to generate equivalent fractions

6.         Use fraction strips to generate equivalent fractions

8*4, 8*5, 8*6, 8*7, 10*6, 11*3

 

3.NF.A.3c

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.

 

 

8*1, 8*4, 8*5, 8*7, 8*8

 

3.NF.A.3d

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.

1  Comparing fractions 1

1.         Compare fractions with the same numerator by reasoning about their size

2.         Compare fractions with the same denominator by reasoning about their size

3.         Recognize when comparisons are valid by reasoning

8*4, 8*5, 8*6, 8*8, 9*5, 9*7, 10*2

 

3.MD.A.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.

 

1.         Reading the exact minute on a clock

2.         Reading the exact time on a clock

3.         Drawing the exact time on a clock

4.         Identifying the start time, change of time, and end time in real-world elapsed time problems

5.         Solving elapsed time word problems to the nearest hour

6.         Solving elapsed time word problems to the nearest five minutes

7.         Solving elapsed time word problems to the nearest minute

1*4, 1*13, 3*6, 5*5, 5*12, 11*1 Length of Day Project

 

3.MD.A.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.

 

1.         Understand volume and how volume is measured

2.         Estimate volume in liters

3.         Measure volume in liters

4.         Understand mass and how mass is measured

5.         Solve word problems about mass by adding and subtracting on a number line

6.         Solve word problems about volume by adding and subtracting on a number line

7.         Solve multiplication and division word problems about mass by drawing pictures

8.         Solve multiplication and division word problems about volume by drawing pictures

 

9*10, 10*3, 10*4, 10*5, 10*8

 

3.MD.B.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.

1  Creating bar charts 1

1.         Draw bars on a graph

2.         Label and title a graph

3.         Title and label graphs by looking at data collected

4.         Determine scale increments

5.         Identify questions that can be answered using graphs

6.         Answer one-step questions about a bar graph by drawing

7.         Answer one-step questions about a picture graph using a t-chart

1*5, 1*10, 1*13, 4*10, 5*2, 10*6, 10*7, 10*9, 11*1
Length of Day Project, Project 2

 

3.MD.B.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.

 

1.         Creating and reading a ruler to measure objects to the nearest quarter inch

2.         Measure an object to the nearest quarter inch using a ruler

3.         Display data in fractional amounts by creating a line plot

4.         Collect and show data on a line plot

3*2, 3*3, 3*5, 5*7, 8*8, 9*13, 10*7 Project 2

 

3.MD.C.5

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

 

 

3*6, 3*7, 3*8

 

3.MD.C.5a

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.

 

Cover the area of a shape using square units

3*6, 3*7, 3*8

 

3.MD.C.5b

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.

 

1.         Find the area of a shape using square units

2.         Use equal square units to find the area

3.         Use grid paper to find the area

3*6, 3*7, 3*8, 9*3, 9*4, 9*10, 9*11, 9*12

 

3.MD.C.6

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

1  Area 1

1.         Find the area of a square or rectangle by counting unit squares

2.         Determine which unit of measurement to use to find the area

3.         Find the area of a polygon using a key

4.         Find the area of a shape using a key to find the unit of measure

3*6, 3*7, 3*8, 4*8, 4*9, 9*13

 

3.MD.C.7

Relate area to the operations of multiplication and addition.

1  Area 1

 

 

3.MD.C.7a

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.

 

1.         Find the area of a rectangle using an array

2.         Find the area of a rectangle by multiplying side lengths

3*6, 3*7, 3*8, 4*2, 4*8, 9*3, 9*4, 9*10, 9*11, 9*12

 

3.MD.C.7b

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.

1  Area 1

1.         Find missing side lengths by drawing arrays

2.         Given the area, find missing side lengths of a rectangle

3*8, 4*2, 4*9, 6*8, 9*3, 9*4, 9*10, 9*11, 9*12, 9*13

 

3.MD.C.7c

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 × b and a × c. Use area models to represent the distributive property in mathematical reasoning.

 

 

9*3, 9*4, 9*10, 9*11, 9*12

 

3.MD.C.7d

Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

 

 

4*9, 6*8, 9*3, 9*4, 9*10, 9*11, 9*12

 

3.MD.D.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.

1  Finding dimensions given perimeter

2  Perimeter 1

1.         Find the perimeter of a polygon - for teachers

2.         Find the perimeter of a square or rectangle by adding side lengths

3.         Find the perimeter of a polygon in real world problems

4.         Find perimeter with missing side lengths

 

3*4, 3*6, 3*8, 4*2, 5*6, 6*4, 6*5, 6*6, 6*8, 9*3

 

3.G.A.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.

 

1.         Recognize shape attributes

2.         Identifying trapezoids and parallellograms

3.         Identify rhombuses, rectangles, and squares

4.         Sort quadrilaterals by their attributes

3*4, 6*5, 6*6, 6*9, 6*11

 

3.G.A.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.

1.         Partition a shape into equal shares

2.         Write unit fractions as a number

3.         Describe a fraction as an equal share of a whole

4.         Describe a fraction by counting the number of shares

8*1, 8*3, 8*4, 8*5, 8*7

 

 

 

© Lawrence Cerniglia 2014