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41 MB|450 pages

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This zip file includes 50+ station activities focused on place value; numerical expressions; patterns; adding, subtracting, multiplying, and dividing decimal numbers; adding, subtracting, multiplying, and dividing fractions; converting measurements; displaying data on line plots; 2-D figures; volume; and coordinates. They are designed to align with common core standards for fifth grade math. You save 25% when buying the bundle as compared to all the activities purchased individually. As I add more activities, I will increase the price accordingly, but you will still have access to the file for no additional cost!! I've also included 5 pages of organizational tips and best practices for station learning in the classroom.

I created these activities to use in station rotations in a fifth grade classroom. However, they can easily be used in a variety of ways. You will find activities within this file also suitable for math centers, game day, formative assessment, or summative assessment. These activities cover:

Unit 1: Numerical Expressions

Unit 2: Patterns

Unit 3: Place Value

Unit 4: Adding and Subtracting Decimals

Unit 5: Multiplying and Dividing Decimals

Unit 6: Adding and Subtracting Fractions

Unit 7: Multiplying Fractions

Unit 8: Dividing Fractions

Unit 9: Converting Measurements

Unit 10: Displaying Data

Unit 11: Volume

Unit 12: Coordinates

Unit 13: 2-D Figures

As students rotate through stations, they are challenged in individual, partner, and group activities and games. I have included instructions for you as well as printable student directions for each activity. Whenever appropriate, answer keys are also attached. The following resources are included in this file:

1. Stations Organization and Tips (5 Pages!)

2. Math Match - Numerical Expressions (18 Cards!)

CCSS.5.OA.A.1

3. Poly-Problem-Solver - Numerical Expressions (4 Versions!)

CCSS.5.OAA.1

4. Triangler Puzzle- Numerical Expressions (16 cards!)

CCSS.5.OAA.1

5. Three of a Kind - Numerical Expressions (Open-Ended!)

CCSS.5.OAA.1, OAA.2

6. Patterns “Go Fish!” (18 Cards!)

CCSS.5.OA.B.3

7. Pick-a-Card: Patterns (6 Variations!)

CCSS.5.OA.B.3

8. I Have Who Has? – Patterns (24 Cards!)

CCSS.5.OA.B.3

9. On a Roll – Patterns (Unique Problems for Every Student!)

CCSS.5.G.OA.B.3

10. Roundabout - Place Value (4 Versions!)

CCSS.5.NBT.A.4

11. Poly-Problem-Solver – Extended Form (4 Versions!)

CCSS.NBT.A.3.A

12. Three of a Kind – Rounding (Open-Ended!)

CCSS.5.NBT.A.4

13. Ordering and Operations – Decimals (3 Stations in 1!)

CCSS.5.NBT.A.3.B

14. Dominoes – Add & Subtract Decimals (18 Cards!)

CCSS.5.NBT.B.7

15. "Triangler" Puzzle – Add & Subtract Decimals (16 Cards!)

CCSS.5.NBT.B.7

16. I Have Who Has? – Add & Subtract Decimals (24 Cards!)

CCSS.5.NBT.B.7

17. Multiply & Divide By Tens “Go Fish!” (18Cards!)

CCSS.5.NBT.A.2

18. Multiply & Divide Whole Numbers “Triangler” Puzzle (16 Cards!)

CCSS.5.NBT.B.5,6

19. Roundabout - Multiply & Divide Decimals (4 Versions!)

CCSS.5.NBT.B.7

20. Ordering and Operations – Decimals (3 Stations in 1!)

CCSS.5.NBT.5,6,7, 5.NBT.A.3.B

21. Math Match – Add & Subtract Fractions (18 Cards!)

CCSS.5.NF.A.1

22. Poly-Problem-Solver – Add & Subtract Fractions (4 versions!)

CCSS.5.NF.A.1

23. I Have Who Has? – Add & Subtract Fractions

CCSS.5.NF.A.1

24. Roundabout – Multiplying Fractions (4 versions!)

CCSS.5.NF.B.4,5

25. Triangler – Multiplying Fractions (16 Cards!)

CCSS.5.NF.B.4

26. Article – Multiplying Fractions (With Graphic Organizer!)

CCSS.5.NF.B.5

27. Ordering and Operations – Fractions (3 Stations in 1!)

CCSS.5.NF.A.1, 5.NF.B.4, 5.NF.B.7

28. “GO FISH!” – Dividing Fractions (18 Cards!)

CCSS.5.NF.B.7

29. Roundabout – Dividing Fractions (4 versions!)

CCSS.5.Nf.B.7.A, B

30. Article – Dividing Fractions (With Partner Activity!)

CCSS.5.Nf.B.7.A, B

31. Problem-Solving – Dividing Fractions (Real-World)

CCSS.5.NF.B.7.A,B

32. Math Match – Converting Measurements (18 Cards!)

CCSS.5.MD.A.1

33. Dominoes - Converting Measurements (18 Problems!)

CCSS.5.MD.A.1

34. Three of a Kind - Converting Measurements (Open-Ended!)

CCSS.5.MD.A.1

35. Spin-Off - Measurements (Unique Problems for Each Student!)

CCSS.MD.A.1

36. Pick-a-Card: Line Plots (6 Versions!)

CCSS.5.MD.B.2

37. Article: Line Plots (With Graphic Organizer!)

CCSS.5.MD.B.2

38. Problem-Solving: Line Plots (Real-World!)

CCSS.5.MD.A.1

39. Spin-Off: Line Plots (Unique Problems for Each Student!)

CCSS.5.MD.B.2

40. Dominoes - Volume (18 Cards!)

CCSS.5.MD.C.5

41. Poly-Problem-Solver - Volume (4 Activities!)

CCSS.5.MD.C.5.B

42. Pick-a-Card: Volume (6 Versions!)

CCSS.5.MD.C.3, 4, 5

43. I Have Who Has? - Volume (24Cards!)

CCSS.5.MD.C.5

44. Coordinates “Go Fish!” (18 Cards!)

CCSS.5.G.A.1, G.A.2

45. Pick-a-Card: Coordinate Graphs (6 Versions!)

CCSS.5.G.A.1

46. Article – Coordinate Graphs (With Graphic Organizer!)

CCSS.5.G.A.1

47. On a Roll – Coordinates (Unique Problems for Each Student!)

CCSS.5.G.A.1

48. Math Match: 2-D Figures (18 Cards!)

CCSS.5.G.B.3, G.B.4

49. Dominoes: 2-D Figures (18 Cards!)

CCSS.5.G.B.3,4

50. Three-of-a-Kind: 2-D Figures (Open Ended!)

CCSS.5.G.B.4

51. Problem-Solving: 2-D Figures (Open Ended!)

CCSS.5.G.B.4

When I decided to give stations a try in my classroom I was amazed at how EASY it was to differentiate instruction. This was something I always struggled with in the past. I was also amazed at how much actual problem solving practice my students were doing in class, without my directing their every move.

These activities are included the BEST BUNDLE for Fifth Grade Complete Year at 25% off!!!!

**Leave Feedback after your purchase to earn TpT credits!!**

Please be advised: this purchase is for your personal use. Please direct colleagues to my TpT store for the appropriate licensing if they would like to use these activities. If you are interested in using this package for your entire district, please contact me.

Common Core Standards in this resource file include:

CCSS.MATH.CONTENT.5.OA.A.1

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

CCSS.MATH.CONTENT.5.OA.A.2

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

CCSS.MATH.CONTENT.5.OA.B.3

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

CCSS.MATH.CONTENT.5.NBT.A.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

CCSS.MATH.CONTENT.5.NBT.A.3

Read, write, and compare decimals to thousandths.

CCSS.MATH.CONTENT.5.NBT.A.3.A

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

CCSS.MATH.CONTENT.5.NBT.A.3.B

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

CCSS.MATH.CONTENT.5.NBT.A.4

Use place value understanding to round decimals to any place.

CCSS.MATH.CONTENT.5.NBT.B.5

Fluently multiply multi-digit whole numbers using the standard algorithm.

CCSS.MATH.CONTENT.5.NBT.B.6

Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.

CCSS.MATH.CONTENT.5.NBT.B.7

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

CCSS.MATH.CONTENT.5.NF.A.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

CCSS.MATH.CONTENT.5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

CCSS.MATH.CONTENT.5.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

CCSS.MATH.CONTENT.5.NF.B.4.A

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = (ac)/(bd).

CCSS.MATH.CONTENT.5.NF.B.4.B

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

CCSS.MATH.CONTENT.5.NF.B.5

Interpret multiplication as scaling (resizing), by:

CCSS.MATH.CONTENT.5.NF.B.5.A

Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

CCSS.MATH.CONTENT.5.NF.B.5.B

Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

CCSS.MATH.CONTENT.5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

CCSS.MATH.CONTENT.5.NF.B.7

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1

CCSS.MATH.CONTENT.5.NF.B.7.A

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

CCSS.MATH.CONTENT.5.NF.B.7.B

Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

CCSS.MATH.CONTENT.5.MD.A.1

Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Represent and interpret data.

CCSS.MATH.CONTENT.5.MD.B.2

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

CCSS.MATH.CONTENT.5.G.A.1

Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

CCSS.MATH.CONTENT.5.G.A.2

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

CCSS.MATH.CONTENT.5.G.B.3

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

CCSS.MATH.CONTENT.5.G.B.4

Classify two-dimensional figures in a hierarchy based on properties.

CCSS.MATH.CONTENT.5.MD.C.3

Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

CCSS.MATH.CONTENT.5.MD.C.3.A

A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.

CCSS.MATH.CONTENT.5.MD.C.3.B

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

CCSS.MATH.CONTENT.5.MD.C.4

Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

CCSS.MATH.CONTENT.5.MD.C.5

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

CCSS.MATH.CONTENT.5.MD.C.5.B

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

CCSS.MATH.CONTENT.5.MD.C.5.C

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

The Best Bundle Complete Math Stations for Fifth Grade by Kimberly Wasylyk is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

I created these activities to use in station rotations in a fifth grade classroom. However, they can easily be used in a variety of ways. You will find activities within this file also suitable for math centers, game day, formative assessment, or summative assessment. These activities cover:

Unit 1: Numerical Expressions

Unit 2: Patterns

Unit 3: Place Value

Unit 4: Adding and Subtracting Decimals

Unit 5: Multiplying and Dividing Decimals

Unit 6: Adding and Subtracting Fractions

Unit 7: Multiplying Fractions

Unit 8: Dividing Fractions

Unit 9: Converting Measurements

Unit 10: Displaying Data

Unit 11: Volume

Unit 12: Coordinates

Unit 13: 2-D Figures

As students rotate through stations, they are challenged in individual, partner, and group activities and games. I have included instructions for you as well as printable student directions for each activity. Whenever appropriate, answer keys are also attached. The following resources are included in this file:

1. Stations Organization and Tips (5 Pages!)

2. Math Match - Numerical Expressions (18 Cards!)

CCSS.5.OA.A.1

3. Poly-Problem-Solver - Numerical Expressions (4 Versions!)

CCSS.5.OAA.1

4. Triangler Puzzle- Numerical Expressions (16 cards!)

CCSS.5.OAA.1

5. Three of a Kind - Numerical Expressions (Open-Ended!)

CCSS.5.OAA.1, OAA.2

6. Patterns “Go Fish!” (18 Cards!)

CCSS.5.OA.B.3

7. Pick-a-Card: Patterns (6 Variations!)

CCSS.5.OA.B.3

8. I Have Who Has? – Patterns (24 Cards!)

CCSS.5.OA.B.3

9. On a Roll – Patterns (Unique Problems for Every Student!)

CCSS.5.G.OA.B.3

10. Roundabout - Place Value (4 Versions!)

CCSS.5.NBT.A.4

11. Poly-Problem-Solver – Extended Form (4 Versions!)

CCSS.NBT.A.3.A

12. Three of a Kind – Rounding (Open-Ended!)

CCSS.5.NBT.A.4

13. Ordering and Operations – Decimals (3 Stations in 1!)

CCSS.5.NBT.A.3.B

14. Dominoes – Add & Subtract Decimals (18 Cards!)

CCSS.5.NBT.B.7

15. "Triangler" Puzzle – Add & Subtract Decimals (16 Cards!)

CCSS.5.NBT.B.7

16. I Have Who Has? – Add & Subtract Decimals (24 Cards!)

CCSS.5.NBT.B.7

17. Multiply & Divide By Tens “Go Fish!” (18Cards!)

CCSS.5.NBT.A.2

18. Multiply & Divide Whole Numbers “Triangler” Puzzle (16 Cards!)

CCSS.5.NBT.B.5,6

19. Roundabout - Multiply & Divide Decimals (4 Versions!)

CCSS.5.NBT.B.7

20. Ordering and Operations – Decimals (3 Stations in 1!)

CCSS.5.NBT.5,6,7, 5.NBT.A.3.B

21. Math Match – Add & Subtract Fractions (18 Cards!)

CCSS.5.NF.A.1

22. Poly-Problem-Solver – Add & Subtract Fractions (4 versions!)

CCSS.5.NF.A.1

23. I Have Who Has? – Add & Subtract Fractions

CCSS.5.NF.A.1

24. Roundabout – Multiplying Fractions (4 versions!)

CCSS.5.NF.B.4,5

25. Triangler – Multiplying Fractions (16 Cards!)

CCSS.5.NF.B.4

26. Article – Multiplying Fractions (With Graphic Organizer!)

CCSS.5.NF.B.5

27. Ordering and Operations – Fractions (3 Stations in 1!)

CCSS.5.NF.A.1, 5.NF.B.4, 5.NF.B.7

28. “GO FISH!” – Dividing Fractions (18 Cards!)

CCSS.5.NF.B.7

29. Roundabout – Dividing Fractions (4 versions!)

CCSS.5.Nf.B.7.A, B

30. Article – Dividing Fractions (With Partner Activity!)

CCSS.5.Nf.B.7.A, B

31. Problem-Solving – Dividing Fractions (Real-World)

CCSS.5.NF.B.7.A,B

32. Math Match – Converting Measurements (18 Cards!)

CCSS.5.MD.A.1

33. Dominoes - Converting Measurements (18 Problems!)

CCSS.5.MD.A.1

34. Three of a Kind - Converting Measurements (Open-Ended!)

CCSS.5.MD.A.1

35. Spin-Off - Measurements (Unique Problems for Each Student!)

CCSS.MD.A.1

36. Pick-a-Card: Line Plots (6 Versions!)

CCSS.5.MD.B.2

37. Article: Line Plots (With Graphic Organizer!)

CCSS.5.MD.B.2

38. Problem-Solving: Line Plots (Real-World!)

CCSS.5.MD.A.1

39. Spin-Off: Line Plots (Unique Problems for Each Student!)

CCSS.5.MD.B.2

40. Dominoes - Volume (18 Cards!)

CCSS.5.MD.C.5

41. Poly-Problem-Solver - Volume (4 Activities!)

CCSS.5.MD.C.5.B

42. Pick-a-Card: Volume (6 Versions!)

CCSS.5.MD.C.3, 4, 5

43. I Have Who Has? - Volume (24Cards!)

CCSS.5.MD.C.5

44. Coordinates “Go Fish!” (18 Cards!)

CCSS.5.G.A.1, G.A.2

45. Pick-a-Card: Coordinate Graphs (6 Versions!)

CCSS.5.G.A.1

46. Article – Coordinate Graphs (With Graphic Organizer!)

CCSS.5.G.A.1

47. On a Roll – Coordinates (Unique Problems for Each Student!)

CCSS.5.G.A.1

48. Math Match: 2-D Figures (18 Cards!)

CCSS.5.G.B.3, G.B.4

49. Dominoes: 2-D Figures (18 Cards!)

CCSS.5.G.B.3,4

50. Three-of-a-Kind: 2-D Figures (Open Ended!)

CCSS.5.G.B.4

51. Problem-Solving: 2-D Figures (Open Ended!)

CCSS.5.G.B.4

When I decided to give stations a try in my classroom I was amazed at how EASY it was to differentiate instruction. This was something I always struggled with in the past. I was also amazed at how much actual problem solving practice my students were doing in class, without my directing their every move.

These activities are included the BEST BUNDLE for Fifth Grade Complete Year at 25% off!!!!

**Leave Feedback after your purchase to earn TpT credits!!**

Please be advised: this purchase is for your personal use. Please direct colleagues to my TpT store for the appropriate licensing if they would like to use these activities. If you are interested in using this package for your entire district, please contact me.

Common Core Standards in this resource file include:

CCSS.MATH.CONTENT.5.OA.A.1

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

CCSS.MATH.CONTENT.5.OA.A.2

Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

CCSS.MATH.CONTENT.5.OA.B.3

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

CCSS.MATH.CONTENT.5.NBT.A.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

CCSS.MATH.CONTENT.5.NBT.A.3

Read, write, and compare decimals to thousandths.

CCSS.MATH.CONTENT.5.NBT.A.3.A

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

CCSS.MATH.CONTENT.5.NBT.A.3.B

Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

CCSS.MATH.CONTENT.5.NBT.A.4

Use place value understanding to round decimals to any place.

CCSS.MATH.CONTENT.5.NBT.B.5

Fluently multiply multi-digit whole numbers using the standard algorithm.

CCSS.MATH.CONTENT.5.NBT.B.6

Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.

CCSS.MATH.CONTENT.5.NBT.B.7

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

CCSS.MATH.CONTENT.5.NF.A.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

CCSS.MATH.CONTENT.5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

CCSS.MATH.CONTENT.5.NF.B.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

CCSS.MATH.CONTENT.5.NF.B.4.A

Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = (ac)/(bd).

CCSS.MATH.CONTENT.5.NF.B.4.B

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

CCSS.MATH.CONTENT.5.NF.B.5

Interpret multiplication as scaling (resizing), by:

CCSS.MATH.CONTENT.5.NF.B.5.A

Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

CCSS.MATH.CONTENT.5.NF.B.5.B

Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

CCSS.MATH.CONTENT.5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

CCSS.MATH.CONTENT.5.NF.B.7

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1

CCSS.MATH.CONTENT.5.NF.B.7.A

Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.

CCSS.MATH.CONTENT.5.NF.B.7.B

Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

CCSS.MATH.CONTENT.5.MD.A.1

Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

Represent and interpret data.

CCSS.MATH.CONTENT.5.MD.B.2

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.

CCSS.MATH.CONTENT.5.G.A.1

Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

CCSS.MATH.CONTENT.5.G.A.2

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

CCSS.MATH.CONTENT.5.G.B.3

Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

CCSS.MATH.CONTENT.5.G.B.4

Classify two-dimensional figures in a hierarchy based on properties.

CCSS.MATH.CONTENT.5.MD.C.3

Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

CCSS.MATH.CONTENT.5.MD.C.3.A

A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.

CCSS.MATH.CONTENT.5.MD.C.3.B

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

CCSS.MATH.CONTENT.5.MD.C.4

Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

CCSS.MATH.CONTENT.5.MD.C.5

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

CCSS.MATH.CONTENT.5.MD.C.5.B

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

CCSS.MATH.CONTENT.5.MD.C.5.C

Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

The Best Bundle Complete Math Stations for Fifth Grade by Kimberly Wasylyk is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

Total Pages

450 pages

Answer Key

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Teaching Duration

1 Year

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