Common Core State Standards (CCSS) Correlations

Real-World Math Problem Solving Grade 6

Real-World Math Problem Solving Grade 6

N/A

Strand - Reading Standards: Literature, Grade 6

Key Ideas and Details

ELA.RL.6.1: Cite textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text.

Activity Pages
Harvest Party 13 to 15
Call of the Wild 16 to 18
Maritime Lingo 22 to 24
Hitting the Trail 31 to 33
Fourth of July: Fireworks! 61 to 63
Treasure Island 79 to 81
Flipped Cubes 100 to 102

Key Ideas and Details

ELA.RL.6.2: Determine a theme or central idea of a text and how it is conveyed through particular details; provide a summary of the text distinct from personal opinions or judgments.

Activity Pages
Maritime Lingo 22 to 24

Craft and Structure

ELA.RL.6.4: Determine the meaning of words and phrases as they are used in a text, including figurative and connotative meanings; analyze the impact of a specific word choice on meaning and tone.

Activity Pages
Maritime Lingo 22 to 24
Fourth of July: Fireworks! 61 to 63

Strand - Writing Standards, Grade 6

Text Types and Purposes

ELA.W.6.1: Write arguments to support claims with clear reasons and relevant evidence.

Activity Pages
Giant Grass 10 to 12
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Fourth of July: Fireworks! 61 to 63
Fuel Cell Vehicles 64 to 66
Cell Phones 97 to 99

Text Types and Purposes

ELA.W.6.2: Write informative/explanatory texts to examine a topic and convey ideas, concepts, and information through the selection, organization, and analysis of relevant content.

Activity Pages
Giant Grass 10 to 12
Hitting the Trail 31 to 33
Ocean Depths 37 to 39
Mapping Public Transit 46 to 48
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Flipped Cubes 100 to 102

Text Types and Purposes

ELA.W.6.3: Write narratives to develop real or imagined experiences or events using effective technique, relevant descriptive details, and well-structured event sequences.

Activity Pages
Maritime Lingo 22 to 24
The Cartesian Plane 40 to 42
Shipping & Packaging 76 to 78

Production and Distribution of Writing

ELA.W.6.4: Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience. (Grade-specific expectations for writing types are defined in standards 1–3 above.)

Activity Pages
Seeing Double 7 to 9
Giant Grass 10 to 12
Harvest Party 13 to 15
Call of the Wild 16 to 18
Black Friday 19 to 21
Maritime Lingo 22 to 24
A Dream Come True 25 to 27
Watching the Tides 28 to 30
Hitting the Trail 31 to 33
Paleontology: Digging for Dinosaurs 34 to 36
Ocean Depths 37 to 39
The Cartesian Plane 40 to 42
Polar Vortex 43 to 45
Mapping Public Transit 46 to 48
Exponential Earthquakes 49 to 51
Thousands of Books! 52 to 54
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Chicago's Pedway 58 to 60
Fourth of July: Fireworks! 61 to 63
Fuel Cell Vehicles 64 to 66
Highland Games 67 to 69
First Flight Around the World 70 to 72
Bartlett Experimental Forest 73 to 75
Shipping & Packaging 76 to 78
Treasure Island 79 to 81
The Bermuda Triangle 82 to 84
Tents 85 to 87
Pierre-Simon Laplace: Early Census Taker 88 to 90
Secret Codes 91 to 93
America's Favorite Toy 94 to 96
Cell Phones 97 to 99
Flipped Cubes 100 to 102

Research to Build and Present Knowledge

ELA.W.6.7: Conduct short research projects to answer a question, drawing on several sources and refocusing the inquiry when appropriate.

Activity Pages
Seeing Double 7 to 9
Giant Grass 10 to 12
Black Friday 19 to 21
Watching the Tides 28 to 30
Hitting the Trail 31 to 33
Paleontology: Digging for Dinosaurs 34 to 36
Ocean Depths 37 to 39
The Cartesian Plane 40 to 42
Polar Vortex 43 to 45
Mapping Public Transit 46 to 48
Exponential Earthquakes 49 to 51
Thousands of Books! 52 to 54
Chicago's Pedway 58 to 60
Fuel Cell Vehicles 64 to 66
First Flight Around the World 70 to 72
Bartlett Experimental Forest 73 to 75
Pierre-Simon Laplace: Early Census Taker 88 to 90
Cell Phones 97 to 99

Research to Build and Present Knowledge

ELA.W.6.9: Draw evidence from literary or informational texts to support analysis, reflection, and research.

Activity Pages
Giant Grass 10 to 12
Watching the Tides 28 to 30
Fuel Cell Vehicles 64 to 66
Pierre-Simon Laplace: Early Census Taker 88 to 90
Cell Phones 97 to 99

Strand - Reading Standards: Informational Text, Grade 6

Key Ideas and Details

ELA.RI.6.1: Cite textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text.

Activity Pages
Seeing Double 7 to 9
Giant Grass 10 to 12
Black Friday 19 to 21
Watching the Tides 28 to 30
Paleontology: Digging for Dinosaurs 34 to 36
Ocean Depths 37 to 39
Exponential Earthquakes 49 to 51
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Fuel Cell Vehicles 64 to 66
First Flight Around the World 70 to 72
Bartlett Experimental Forest 73 to 75
Shipping & Packaging 76 to 78
The Bermuda Triangle 82 to 84
Tents 85 to 87
Pierre-Simon Laplace: Early Census Taker 88 to 90
America's Favorite Toy 94 to 96

Key Ideas and Details

ELA.RI.6.3: Analyze in detail how a key individual, event, or idea is introduced, illustrated, and elaborated in a text (e.g., through examples or anecdotes).

Activity Pages
Watching the Tides 28 to 30
Ocean Depths 37 to 39
The Cartesian Plane 40 to 42
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Fuel Cell Vehicles 64 to 66
First Flight Around the World 70 to 72
The Bermuda Triangle 82 to 84

Key Ideas and Details

ELA.RI.6.2: Determine a central idea of a text and how it is conveyed through particular details; provide a summary of the text distinct from personal opinions or judgments.

Activity Pages
Pierre-Simon Laplace: Early Census Taker 88 to 90

Integration of Knowledge and Ideas

ELA.RI.6.7: Integrate information presented in different media or formats (e.g., visually, quantitatively) as well as in words to develop a coherent understanding of a topic or issue.

Activity Pages
Black Friday 19 to 21
Watching the Tides 28 to 30
The Cartesian Plane 40 to 42
Polar Vortex 43 to 45
Mapping Public Transit 46 to 48
First Flight Around the World 70 to 72
Bartlett Experimental Forest 73 to 75
Shipping & Packaging 76 to 78
Pierre-Simon Laplace: Early Census Taker 88 to 90
Secret Codes 91 to 93
America's Favorite Toy 94 to 96

Integration of Knowledge and Ideas

ELA.RI.6.8: Trace and evaluate the argument and specific claims in a text, distinguishing claims that are supported by reasons and evidence from claims that are not.

Activity Pages
The Bermuda Triangle 82 to 84

N/A

Domain - Ratios and Proportional Relationships, Grade 6

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.”

Activity Pages
Seeing Double 7 to 9
Giant Grass 10 to 12
Harvest Party 13 to 15
Maritime Lingo 22 to 24
Cell Phones 97 to 99

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.

Activity Pages
Seeing Double 7 to 9
Giant Grass 10 to 12
Harvest Party 13 to 15
Black Friday 19 to 21
Maritime Lingo 22 to 24
Watching the Tides 28 to 30
Ocean Depths 37 to 39
First Flight Around the World 70 to 72
Pierre-Simon Laplace: Early Census Taker 88 to 90
Cell Phones 97 to 99

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.”

Activity Pages
Harvest Party 13 to 15
Call of the Wild 16 to 18
Black Friday 19 to 21
Maritime Lingo 22 to 24

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?.

Activity Pages
Harvest Party 13 to 15
A Dream Come True 25 to 27
Paleontology: Digging for Dinosaurs 34 to 36
Shipping & Packaging 76 to 78

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.

Activity Pages
Call of the Wild 16 to 18
Black Friday 19 to 21
Maritime Lingo 22 to 24
A Dream Come True 25 to 27
Hitting the Trail 31 to 33
Thousands of Books! 52 to 54
First Flight Around the World 70 to 72
Bartlett Experimental Forest 73 to 75
Shipping & Packaging 76 to 78
America's Favorite Toy 94 to 96

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.

Activity Pages
Black Friday 19 to 21
Maritime Lingo 22 to 24
A Dream Come True 25 to 27
Watching the Tides 28 to 30
Hitting the Trail 31 to 33
Ocean Depths 37 to 39
Exponential Earthquakes 49 to 51
First Flight Around the World 70 to 72
Bartlett Experimental Forest 73 to 75
Shipping & Packaging 76 to 78
America's Favorite Toy 94 to 96

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

Math.6.NS.B.4: Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2)..

Activity Pages
Paleontology: Digging for Dinosaurs 34 to 36
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57

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.

Activity Pages
Watching the Tides 28 to 30
Hitting the Trail 31 to 33
Paleontology: Digging for Dinosaurs 34 to 36
Ocean Depths 37 to 39
Polar Vortex 43 to 45
Bartlett Experimental Forest 73 to 75
Treasure Island 79 to 81

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.

Activity Pages
Watching the Tides 28 to 30
Hitting the Trail 31 to 33
Ocean Depths 37 to 39
The Cartesian Plane 40 to 42
Polar Vortex 43 to 45
Mapping Public Transit 46 to 48

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

Math.6.NS.C.6: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

Activity Pages
Watching the Tides 28 to 30
Hitting the Trail 31 to 33
Paleontology: Digging for Dinosaurs 34 to 36
Ocean Depths 37 to 39
The Cartesian Plane 40 to 42
Polar Vortex 43 to 45
Mapping Public Transit 46 to 48
Bartlett Experimental Forest 73 to 75
Treasure Island 79 to 81
The Bermuda Triangle 82 to 84

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

Math.6.NS.C.8: Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Activity Pages
The Cartesian Plane 40 to 42
Mapping Public Transit 46 to 48
Treasure Island 79 to 81
The Bermuda Triangle 82 to 84

Domain - Expressions and Equations, Grade 6

Apply and extend previous understandings of arithmetic to algebraic expressions.

Math.6.EE.A.2: Write, read, and evaluate expressions in which letters stand for numbers.

Activity Pages
Maritime Lingo 22 to 24
Thousands of Books! 52 to 54
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Chicago's Pedway 58 to 60
Fourth of July: Fireworks! 61 to 63
Fuel Cell Vehicles 64 to 66
Highland Games 67 to 69
First Flight Around the World 70 to 72
Shipping & Packaging 76 to 78
Tents 85 to 87

Apply and extend previous understandings of arithmetic to algebraic expressions.

Math.6.EE.A.1: Write and evaluate numerical expressions involving whole-number exponents.

Activity Pages
Exponential Earthquakes 49 to 51

Apply and extend previous understandings of arithmetic to algebraic expressions.

Math.6.EE.A.3: Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Activity Pages
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Tents 85 to 87

Apply and extend previous understandings of arithmetic to algebraic expressions.

Math.6.EE.A.4: Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for..

Activity Pages
Fourth of July: Fireworks! 61 to 63

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.

Activity Pages
A Dream Come True 25 to 27
Chicago's Pedway 58 to 60
Fourth of July: Fireworks! 61 to 63
Fuel Cell Vehicles 64 to 66
First Flight Around the World 70 to 72

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.

Activity Pages
Thousands of Books! 52 to 54
Chicago's Pedway 58 to 60
Fourth of July: Fireworks! 61 to 63
Fuel Cell Vehicles 64 to 66
Highland Games 67 to 69

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.

Activity Pages
Thousands of Books! 52 to 54
Fourth of July: Fireworks! 61 to 63

Reason about and solve one-variable equations and inequalities.

Math.6.EE.B.8: Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

Activity Pages
Fuel Cell Vehicles 64 to 66
Highland Games 67 to 69

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.

Activity Pages
Highland Games 67 to 69
First Flight Around the World 70 to 72

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.

Activity Pages
Small Town U.S.A.: Tallulah Falls, Georgia 55 to 57
Bartlett Experimental Forest 73 to 75
Treasure Island 79 to 81
The Bermuda Triangle 82 to 84
Tents 85 to 87

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.

Activity Pages
Shipping & Packaging 76 to 78

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.

Activity Pages
Treasure Island 79 to 81
The Bermuda Triangle 82 to 84

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

Math.6.G.A.4: Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Activity Pages
Tents 85 to 87

Domain - Statistics and Probability, Grade 6

Develop understanding of statistical variability.

Math.6.SP.A.1: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages.

Activity Pages
Pierre-Simon Laplace: Early Census Taker 88 to 90
Flipped Cubes 100 to 102

Develop understanding of statistical variability.

Math.6.SP.A.2: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

Activity Pages
Pierre-Simon Laplace: Early Census Taker 88 to 90
Secret Codes 91 to 93
America's Favorite Toy 94 to 96

Develop understanding of statistical variability.

Math.6.SP.A.3: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Activity Pages
Secret Codes 91 to 93
America's Favorite Toy 94 to 96

Summarize and describe distributions.

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

Activity Pages
Pierre-Simon Laplace: Early Census Taker 88 to 90
Secret Codes 91 to 93
America's Favorite Toy 94 to 96
Cell Phones 97 to 99
Flipped Cubes 100 to 102

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