Common Core State Standards (CCSS) Correlations

Real-World Math Problem Solving Grade 6

Real-World Math Problem Solving Grade 6

English Language Arts

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

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 22-24

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 22-24
Fourth of July: Fireworks! 61-63

Strand - Writing Standards, Grade 6

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

Text Types and Purposes

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

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

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 22-24
The Cartesian Plane 40-42
Shipping & Packaging 76-78

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

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

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

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

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

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 88-90

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

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 82-84

Mathematics

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 7-9
Giant Grass 10-12
Harvest Party 13-15
Maritime Lingo 22-24
Cell Phones 97-99

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

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 13-15
Call of the Wild 16-18
Black Friday 19-21
Maritime Lingo 22-24

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 13-15
A Dream Come True 25-27
Paleontology: Digging for Dinosaurs 34-36
Shipping & Packaging 76-78

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

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

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 34-36
Small Town U.S.A.: Tallulah Falls, Georgia 55-57

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

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

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

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 40-42
Mapping Public Transit 46-48
Treasure Island 79-81
The Bermuda Triangle 82-84

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

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 49-51

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 55-57
Tents 85-87

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! 61-63

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 25-27
Chicago's Pedway 58-60
Fourth of July: Fireworks! 61-63
Fuel Cell Vehicles 64-66
First Flight Around the World 70-72

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! 52-54
Fourth of July: Fireworks! 61-63

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

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 64-66
Highland Games 67-69

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 67-69
First Flight Around the World 70-72

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 55-57
Bartlett Experimental Forest 73-75
Treasure Island 79-81
The Bermuda Triangle 82-84
Tents 85-87

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 76-78

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 79-81
The Bermuda Triangle 82-84

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 85-87

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 88-90
Flipped Cubes 100-102

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 88-90
Secret Codes 91-93
America's Favorite Toy 94-96

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 91-93
America's Favorite Toy 94-96

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 88-90
Secret Codes 91-93
America's Favorite Toy 94-96
Cell Phones 97-99
Flipped Cubes 100-102

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