Common Core State Standards (CCSS) Correlations

Real-World Math Problem Solving Grade 4

Real-World Math Problem Solving Grade 4

English Language Arts

Strand - Reading Standards: Literature, Grade 4

Key Ideas and Details

ELA.RL.4.1: Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text.

Activity Pages
My Shadow 10-12
The Gettysburg Address 37-39
The Eagle 40-42
Pumpkin Bars 52-54
Troy's Spaghetti Sauce 61-63
Wilma Rudolph: Overcoming to Win 64-66
Paul Bunyan 73-75
Traveling to School 79-81
Cozy Quilts 94-96
Gulliver's Travels 97-99

Key Ideas and Details

ELA.RL.4.3: Describe in depth a character, setting, or event in a story or drama, drawing on specific details in the text (e.g., a character's thoughts, words, or actions).

Activity Pages
The Gettysburg Address 37-39
The Eagle 40-42
Pumpkin Bars 52-54
Wilma Rudolph: Overcoming to Win 64-66
Paul Bunyan 73-75
Gulliver's Travels 97-99

Craft and Structure

ELA.RL.4.5: Explain major differences between poems, drama, and prose, and refer to the structural elements of poems (e.g., verse, rhythm, meter) and drama (e.g., casts of characters, settings, descriptions, dialogue, stage directions) when writing or speaking about a text.

Activity Pages
My Shadow 10-12
The Eagle 40-42
Paul Bunyan 73-75

Craft and Structure

ELA.RL.4.4: Determine the meaning of words and phrases as they are used in a text, including those that allude to significant characters found in mythology (e.g., Herculean).

Activity Pages
Pumpkin Bars 52-54

Integration of Knowledge and Ideas

ELA.RL.4.7: Make connections between the text of a story or drama and a visual or oral presentation of the text, identifying where each version reflects specific descriptions and directions in the text.

Activity Pages
A Walk Through the Neighborhood 22-24
The Eagle 40-42
Traveling to School 79-81
Sundials 91-93

Strand - Reading Standards: Informational Text, Grade 4

Key Ideas and Details

ELA.RI.4.2: Determine the main idea of a text and explain how it is supported by key details; summarize the text.

Activity Pages
Wolves & Coyotes 7-9
Jack S. Kilby: Inventor of the Microchip 16-18
The Mighty Mississippi 34-36

Key Ideas and Details

ELA.RI.4.1: Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text.

Activity Pages
Wolves & Coyotes 7-9
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
Montana Sapphires 43-45
China's Ghost City 49-51
Arena Football 55-57
Hummingbirds 58-60
Wilma Rudolph: Overcoming to Win 64-66
Buckets of Rain 70-72
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Sundials 91-93

Key Ideas and Details

ELA.RI.4.3: Explain events, procedures, ideas, or concepts in a historical, scientific, or technical text, including what happened and why, based on specific information in the text.

Activity Pages
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
Freeway Art 25-27
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
Montana Sapphires 43-45
Razor Clams 46-48
Pumpkin Bars 52-54
Arena Football 55-57
Hummingbirds 58-60
Buckets of Rain 70-72
Sand Dunes 82-84
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Urban Symmetry 100-102

Craft and Structure

ELA.RI.4.5: Describe the overall structure (e.g., chronology, comparison, cause/effect, problem/solution) of events, ideas, concepts, or information in a text or part of a text.

Activity Pages
Wolves & Coyotes 7-9

Craft and Structure

ELA.RI.4.4: Determine the meaning of general academic and domain-specific words or phrases in a text relevant to a grade 4 topic or subject area.

Activity Pages
Wolves & Coyotes 7-9
Jack S. Kilby: Inventor of the Microchip 16-18
Freeway Art 25-27
Amaranth: An Edible Weed 31-33
Montana Sapphires 43-45
China's Ghost City 49-51
Arena Football 55-57
Race to the Finish 76-78
Sand Dunes 82-84
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Urban Symmetry 100-102

Integration of Knowledge and Ideas

ELA.RI.4.9: Integrate information from two texts on the same topic in order to write or speak about the subject knowledgeably.

Activity Pages
Wolves & Coyotes 7-9
Matthew Henson: A Frozen Frontier 13-15
Amaranth: An Edible Weed 31-33
Razor Clams 46-48
Arena Football 55-57
Buckets of Rain 70-72
Small Town U.S.A.: North Pole, Alaska 85-87

Integration of Knowledge and Ideas

ELA.RI.4.7: Interpret information presented visually, orally, or quantitatively (e.g., in charts, graphs, diagrams, time lines, animations, or interactive elements on Web pages) and explain how the information contributes to an understanding of the text in which it appears.

Activity Pages
Wolves & Coyotes 7-9
Freeway Art 25-27
Arena Football 55-57
Buckets of Rain 70-72
Sand Dunes 82-84
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Urban Symmetry 100-102

Integration of Knowledge and Ideas

ELA.RI.4.8: Explain how an author uses reasons and evidence to support particular points in a text.

Activity Pages
Matthew Henson: A Frozen Frontier 13-15
The Mighty Mississippi 34-36

Strand - Writing Standards, Grade 4

Text Types and Purposes

ELA.W.4.2: Write informative/explanatory texts to examine a topic and convey ideas and information clearly.

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Matthew Henson: A Frozen Frontier 13-15
Arena Football 55-57
Small Town U.S.A.: North Pole, Alaska 85-87
Urban Symmetry 100-102

Text Types and Purposes

ELA.W.4.1: Write opinion pieces on topics or texts, supporting a point of view with reasons and information.

Activity Pages
Wolves & Coyotes 7-9
Amaranth: An Edible Weed 31-33
Pumpkin Bars 52-54
Arena Football 55-57
Troy's Spaghetti Sauce 61-63
Race to the Finish 76-78
Small Town U.S.A.: North Pole, Alaska 85-87

Text Types and Purposes

ELA.W.4.3: Write narratives to develop real or imagined experiences or events using effective technique, descriptive details, and clear event sequences.

Activity Pages
Pumpkin Bars 52-54
Wilma Rudolph: Overcoming to Win 64-66
Paul Bunyan 73-75
Small Town U.S.A.: North Pole, Alaska 85-87

Production and Distribution of Writing

ELA.W.4.4: Produce clear and coherent writing in which the development and organization are appropriate to task, purpose, and audience. (Grade-specific expectations for writing types are defined in standards 1–3 above.)

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
Grand Canyon Adventure 19-21
A Walk Through the Neighborhood 22-24
Freeway Art 25-27
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
The Gettysburg Address 37-39
The Eagle 40-42
Montana Sapphires 43-45
Razor Clams 46-48
China's Ghost City 49-51
Pumpkin Bars 52-54
Arena Football 55-57
Hummingbirds 58-60
Troy's Spaghetti Sauce 61-63
Wilma Rudolph: Overcoming to Win 64-66
John Napier: The Decimal Point 67-69
Buckets of Rain 70-72
Paul Bunyan 73-75
Race to the Finish 76-78
Traveling to School 79-81
Sand Dunes 82-84
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Sundials 91-93
Cozy Quilts 94-96
Gulliver's Travels 97-99
Urban Symmetry 100-102

Research to Build and Present Knowledge

ELA.W.4.9: Draw evidence from literary or informational texts to support analysis, reflection, and research.

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
Grand Canyon Adventure 19-21
A Walk Through the Neighborhood 22-24
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
The Gettysburg Address 37-39
The Eagle 40-42
Montana Sapphires 43-45
Razor Clams 46-48
Hummingbirds 58-60
Wilma Rudolph: Overcoming to Win 64-66
Paul Bunyan 73-75
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Sundials 91-93
Gulliver's Travels 97-99

Research to Build and Present Knowledge

ELA.W.4.7: Conduct short research projects that build knowledge through investigation of different aspects of a topic.

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Matthew Henson: A Frozen Frontier 13-15
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
Razor Clams 46-48
Arena Football 55-57
Buckets of Rain 70-72
Paul Bunyan 73-75
Traveling to School 79-81
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Sundials 91-93

Mathematics

Domain - Operations and Algebraic Thinking, Grade 4

Use the four operations with whole numbers to solve problems.

Math.4.OA.A.2: Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
The Mighty Mississippi 34-36
Montana Sapphires 43-45
Razor Clams 46-48
Hummingbirds 58-60
Wilma Rudolph: Overcoming to Win 64-66

Use the four operations with whole numbers to solve problems.

Math.4.OA.A.1: Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Jack S. Kilby: Inventor of the Microchip 16-18
The Mighty Mississippi 34-36
Montana Sapphires 43-45
Razor Clams 46-48
Hummingbirds 58-60
Paul Bunyan 73-75

Use the four operations with whole numbers to solve problems.

Math.4.OA.A.3: Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. 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.

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
Grand Canyon Adventure 19-21
A Walk Through the Neighborhood 22-24
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
The Gettysburg Address 37-39
Montana Sapphires 43-45
Razor Clams 46-48
Hummingbirds 58-60
Wilma Rudolph: Overcoming to Win 64-66
Paul Bunyan 73-75
Race to the Finish 76-78

Gain familiarity with factors and multiples.

Math.4.OA.B.4: Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.

Activity Pages
Grand Canyon Adventure 19-21
The Transcontinental Railroad 28-30
Arena Football 55-57
Troy's Spaghetti Sauce 61-63

Generate and analyze patterns.

Math.4.OA.C.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

Activity Pages
A Walk Through the Neighborhood 22-24
Freeway Art 25-27

Domain - Number and Operations in Base Ten, Grade 4

Generalize place value understanding for multi-digit whole numbers.

Math.4.NBT.A.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Activity Pages
Jack S. Kilby: Inventor of the Microchip 16-18
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
The Eagle 40-42
Pumpkin Bars 52-54
Hummingbirds 58-60
Wilma Rudolph: Overcoming to Win 64-66
Buckets of Rain 70-72
Sand Dunes 82-84

Generalize place value understanding for multi-digit whole numbers.

Math.4.NBT.A.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Activity Pages
The Transcontinental Railroad 28-30
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
The Gettysburg Address 37-39
The Eagle 40-42

Generalize place value understanding for multi-digit whole numbers.

Math.4.NBT.A.3: Use place value understanding to round multi-digit whole numbers to any place.

Activity Pages
The Mighty Mississippi 34-36
The Gettysburg Address 37-39
China's Ghost City 49-51

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Math.4.NBT.B.6: Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Activity Pages
My Shadow 10-12
Grand Canyon Adventure 19-21
A Walk Through the Neighborhood 22-24
The Mighty Mississippi 34-36
Razor Clams 46-48
China's Ghost City 49-51
Small Town U.S.A.: North Pole, Alaska 85-87

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Math.4.NBT.B.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Activity Pages
Grand Canyon Adventure 19-21
Amaranth: An Edible Weed 31-33
The Mighty Mississippi 34-36
The Eagle 40-42
Montana Sapphires 43-45
Razor Clams 46-48
Hummingbirds 58-60
Small Town U.S.A.: North Pole, Alaska 85-87

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Math.4.NBT.B.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Activity Pages
Grand Canyon Adventure 19-21
The Transcontinental Railroad 28-30
The Mighty Mississippi 34-36
The Gettysburg Address 37-39
China's Ghost City 49-51
Hummingbirds 58-60
Buckets of Rain 70-72
Small Town U.S.A.: North Pole, Alaska 85-87

Domain - Number and Operations-Fractions, Grade 4

Extend understanding of fraction equivalence and ordering.

Math.4.NF.A.1: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Activity Pages
The Transcontinental Railroad 28-30
The Gettysburg Address 37-39
China's Ghost City 49-51
Pumpkin Bars 52-54
Arena Football 55-57

Extend understanding of fraction equivalence and ordering.

Math.4.NF.A.2: Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Activity Pages
Razor Clams 46-48
Pumpkin Bars 52-54
Arena Football 55-57
Traveling to School 79-81

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Math.4.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

Activity Pages
Montana Sapphires 43-45
Arena Football 55-57
Hummingbirds 58-60
Troy's Spaghetti Sauce 61-63
Traveling to School 79-81

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Math.4.NF.B.3: Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

Activity Pages
Razor Clams 46-48
Pumpkin Bars 52-54
Hummingbirds 58-60
Troy's Spaghetti Sauce 61-63
Wilma Rudolph: Overcoming to Win 64-66

Understand decimal notation for fractions, and compare decimal fractions.

Math.4.NF.C.6: Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

Activity Pages
China's Ghost City 49-51
John Napier: The Decimal Point 67-69
Buckets of Rain 70-72

Understand decimal notation for fractions, and compare decimal fractions.

Math.4.NF.C.5: Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.2 For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

Activity Pages
China's Ghost City 49-51
Wilma Rudolph: Overcoming to Win 64-66
Buckets of Rain 70-72

Understand decimal notation for fractions, and compare decimal fractions.

Math.4.NF.C.7: Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

Activity Pages
John Napier: The Decimal Point 67-69
Buckets of Rain 70-72

Domain - Measurement and Data, Grade 4

Solve problems involving measurement and conversion of measurements.

Math.4.MD.A.2: Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Activity Pages
Wolves & Coyotes 7-9
Jack S. Kilby: Inventor of the Microchip 16-18
Pumpkin Bars 52-54
Troy's Spaghetti Sauce 61-63
John Napier: The Decimal Point 67-69
Paul Bunyan 73-75
Race to the Finish 76-78

Solve problems involving measurement and conversion of measurements.

Math.4.MD.A.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ...

Activity Pages
Wolves & Coyotes 7-9
My Shadow 10-12
Jack S. Kilby: Inventor of the Microchip 16-18
Amaranth: An Edible Weed 31-33
The Eagle 40-42
Montana Sapphires 43-45
Razor Clams 46-48
Pumpkin Bars 52-54
Troy's Spaghetti Sauce 61-63
Paul Bunyan 73-75
Race to the Finish 76-78
Optical Illusions 88-90

Solve problems involving measurement and conversion of measurements.

Math.4.MD.A.3: Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

Activity Pages
Matthew Henson: A Frozen Frontier 13-15
Jack S. Kilby: Inventor of the Microchip 16-18
Arena Football 55-57
John Napier: The Decimal Point 67-69
Race to the Finish 76-78

Represent and interpret data.

Math.4.MD.B.4: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.

Activity Pages
Traveling to School 79-81

Geometric measurement: understand concepts of angle and measure angles.

Math.4.MD.C.5: Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

Activity Pages
Sand Dunes 82-84
Small Town U.S.A.: North Pole, Alaska 85-87
Sundials 91-93
Urban Symmetry 100-102

Geometric measurement: understand concepts of angle and measure angles.

Math.4.MD.C.6: Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

Activity Pages
Sand Dunes 82-84
Small Town U.S.A.: North Pole, Alaska 85-87
Optical Illusions 88-90
Urban Symmetry 100-102

Domain - Geometry, Grade 4

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Math.4.G.A.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

Activity Pages
Freeway Art 25-27
Optical Illusions 88-90
Cozy Quilts 94-96
Gulliver's Travels 97-99
Urban Symmetry 100-102

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Math.4.G.A.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Activity Pages
Freeway Art 25-27
Montana Sapphires 43-45
Sand Dunes 82-84
Optical Illusions 88-90
Gulliver's Travels 97-99
Urban Symmetry 100-102

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Math.4.G.A.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Activity Pages
Cozy Quilts 94-96
Urban Symmetry 100-102

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