Common Core State Standards (CCSS) Correlations

Interactive Learning: Math Word Problems Grade 6

Interactive Learning: Math Word Problems Grade 6

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Domain - Ratios and Proportional Relationships, Grade 6

Understand ratio concepts and use ratio reasoning to solve problems.

Math.6.RP.A.3: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

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Problem 14 15
Problem 13 15
Problem 16 16
Problem 17 17
Problem 18 17
Problem 19 18
Problem 26 21
Problem 27 22
Problem 39 28
Problem 41 29
Problem 42 29
Problem 43 30
Problem 44 30
Problem 52 34
Problem 51 34
Problem 54 35
Problem 53 35
Problem 55 36
Problem 56 36
Problem 60 38
Problem 63 40
Problem 71 44
Problem 75 46
Problem 77 47
Problem 84 50
Problem 88 52
Problem 89 53
Problem 92 54
Problem 93 55
Problem 94 55

Understand ratio concepts and use ratio reasoning to solve problems.

Math.6.RP.A.2: Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”

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Problem 28 22
Problem 29 23
Problem 30 23
Problem 31 24
Problem 82 49
Problem 89 53
Problem 91 54
Problem 92 54
Problem 94 55
Problem 93 55

Understand ratio concepts and use ratio reasoning to solve problems.

Math.6.RP.A.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”

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Problem 87 52
Problem 88 52
Problem 90 53
Problem 91 54
Problem 92 54
Problem 93 55
Problem 94 55

Domain - The Number System, Grade 6

Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

Math.6.NS.A.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?.

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Problem 22 19
Problem 34 25
Problem 35 26
Problem 36 26
Problem 38 27
Problem 46 31

Compute fluently with multi-digit numbers and find common factors and multiples.

Math.6.NS.B.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

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Problem 1 9
Problem 3 10
Problem 10 13
Problem 14 15
Problem 13 15
Problem 18 17
Problem 17 17
Problem 19 18
Problem 24 20
Problem 23 20
Problem 25 21
Problem 28 22
Problem 31 24
Problem 37 27
Problem 46 31
Problem 49 33
Problem 54 35
Problem 57 37
Problem 60 38
Problem 65 41
Problem 66 41
Problem 67 42
Problem 72 44
Problem 71 44
Problem 73 45
Problem 77 47
Problem 84 50
Problem 83 50
Problem 95 56
Problem 96 56
Problem 97 57
Problem 99 58
Problem 100 58

Compute fluently with multi-digit numbers and find common factors and multiples.

Math.6.NS.B.2: Fluently divide multi-digit numbers using the standard algorithm.

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Problem 15 16
Problem 20 18
Problem 32 24
Problem 33 25
Problem 45 31
Problem 47 32
Problem 61 39
Problem 79 48
Problem 81 49
Problem 86 51
Problem 85 51

Apply and extend previous understandings of numbers to the system of rational numbers.

Math.6.NS.C.5: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

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Problem 11 14

Apply and extend previous understandings of numbers to the system of rational numbers.

Math.6.NS.C.7: Understand ordering and absolute value of rational numbers.

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Problem 110 63

Domain - Expressions and Equations, Grade 6

Reason about and solve one-variable equations and inequalities.

Math.6.EE.B.6: Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

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Problem 9 13
Problem 29 23
Problem 30 23
Problem 32 24
Problem 40 28
Problem 44 30
Problem 48 32
Problem 50 33
Problem 49 33
Problem 53 35
Problem 56 36
Problem 55 36
Problem 58 37
Problem 57 37
Problem 59 38
Problem 60 38
Problem 61 39
Problem 62 39
Problem 63 40
Problem 64 40
Problem 66 41
Problem 68 42
Problem 67 42
Problem 74 45
Problem 75 46
Problem 76 46
Problem 77 47
Problem 78 47
Problem 80 48
Problem 81 49
Problem 84 50
Problem 83 50

Reason about and solve one-variable equations and inequalities.

Math.6.EE.B.7: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

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Problem 30 23
Problem 29 23
Problem 32 24
Problem 40 28
Problem 44 30
Problem 48 32
Problem 50 33
Problem 49 33
Problem 53 35
Problem 55 36
Problem 56 36
Problem 58 37
Problem 57 37
Problem 59 38
Problem 60 38
Problem 61 39
Problem 62 39
Problem 64 40
Problem 63 40
Problem 66 41
Problem 68 42
Problem 67 42
Problem 74 45
Problem 75 46
Problem 76 46
Problem 77 47
Problem 78 47
Problem 80 48
Problem 81 49
Problem 83 50
Problem 84 50

Reason about and solve one-variable equations and inequalities.

Math.6.EE.B.5: Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

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Problem 38 27
Problem 40 28
Problem 48 32
Problem 62 39
Problem 64 40
Problem 76 46
Problem 80 48

Represent and analyze quantitative relationships between dependent and independent variables.

Math.6.EE.C.9: Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.

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Problem 51 34
Problem 65 41
Problem 70 43
Problem 72 44
Problem 71 44
Problem 73 45

Domain - Geometry, Grade 6

Solve real-world and mathematical problems involving area, surface area, and volume.

Math.6.G.A.1: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these technique in the context of solving real-world and mathematical problems.

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Problem 97 57

Solve real-world and mathematical problems involving area, surface area, and volume.

Math.6.G.A.2: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

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Problem 98 57

Solve real-world and mathematical problems involving area, surface area, and volume.

Math.6.G.A.3: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

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Problem 99 58

Domain - Statistics and Probability, Grade 6

Summarize and describe distributions.

Math.6.SP.B.5: Summarize numerical data sets in relation to their context, such as by:

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Problem 69 43
Problem 79 48
Problem 85 51
Problem 86 51
Problem 107 62

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