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39.92 MB | 414 pages

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39.92 MB | 414 pages

This 400+ page file includes station activities focused on ratios, rates, percents, decimals, GCF, LCM, fractions, two-variable relationships, integers, absolute value, coordinate graphing, exponents, expressions, equations, inequalities, surface area, volume, and statistics. They are designed to align with common core standards for sixth grade math.

My Entire 6th Grade Math Curriculum includes these activities and every other resource I have created for sixth grade math!

You save 25% when buying the bundle as compared to all the activities purchased individually. That's like getting every fourth activity FREE! As I add more activities, I will increase the price accordingly, but you will have access to the new 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 my 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 an introduction to stations and the entire set of sixth grade math common core standards.

As my 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:

Stations Introduction

1. Stations Organization and Tips (5 pages!)

2. Article – Station Learning (with graphic organizer!)

3. Brainstorm Sheet – Station Rules (student centered!)

Unit 1:Ratios

4. Equal Ratios “Go Fish!” (36 cards!)

5. Unit Rates Poly Problem Solvers (4 activities!)

6. Ratios and Proportional Reasoning Article (with partner reading activity!)

7. Problem-Solving: Ratios Exploration (hands on!)

Unit 2: Rates, Including Percent

8. Proportion Dominoes (16 cards!)

9. Pick-a-Card: Recipe Remix (6 versions!)

10. Percent/Part of a Whole “I Have, Who Has?” (20 cards!)

11. Problem-Solving: Party Planning (individual practice!)

Unit 3: Multi-digit Computation, Common Factors and Multiples

12. Adding and Subtracting Decimals Roundabouts (4 activities!)

13. Multiplying Decimals Poly Problem Solvers (4 activities!)

14. Multi-Digit Dividing Triangler (16 cards!)

15. Dividing Decimals Dominoes (16 cards!)

16. Ordering and Operations – Decimals (3 stations!)

17. LCM Spin-Off (unique problems for every student!)

18. GCF Spin-Off (unique problems for every student!)

Unit 4: Dividing Fractions

19. Article – Dividing Fractions (with graphic organizer!)

20. Dividing Fractions “Go Fish!” (36 cards!)

21. Dividing Fractions Roundabouts (4 activities!)

22. Dividing Fractions Poly Problem Solvers (4 activities!)

Unit 5: Representing Relationships

23. Two-Variable Equations Dominoes (16 cards!)

24. I Have Who Has Coordinate Relationships (24 cards!)

25. Article – Variables: Dependent or Independent? (with partner reading activity!)

26. Pick-a-Card: Fundraiser Analysis (6 versions!)

Unit 6: Extending the Number System

27. Number System Three of a Kind and Sort (open ended!)

28. Numbers and Operations Math Match (36 cards!)

29. Ordering and Operations – Decimals (3 stations!)

30. Article – Integers in the Real World (with partner reading activity!)

31. Ordering and Operations - Integers (3 stations!)

32. Article – The Absolute Truth About Absolute Value (with graphic organizer!)

33. Absolute Value “Go Fish!” (36 cards!)

Unit 7: Relationships in the Coordinate Plane

34. Coordinate Graphs “Go Fish!” (36 cards!)

35. Pick-a-Card: Understanding Location (6 versions!)

36. Pick-a-Card: Finding Distances (6 versions!)

37. Three of a Kind – Coordinate Graphs (open-ended!)

Unit 8: Algebraic Expressions

38. Exponents Triangler (16 cards!)

39. Word Phrases Math Match (36 cards!)

40. Word and Symbol Sort (graphic organizer!)

41. On a Roll With Expressions (unique problems for every student!)

42. Equivalent Expressions Triangler (16 cards!)

Unit 9: Equations and Inequalities

43. Equations and Inequalities Spin-Off (24 cards!)

44. Equations and Inequalities Math Match (36 cards!)

45. Expressions & Equations “Three of a Kind” (open-ended!)

46. One-Variable Dominoes (16 cards!)

47. One-Step Equations Poly Problem Solvers (4 activities!)

48. Equations and Inequalities Triangler (16 cards!)

49. Inequality Word Problems “Go Fish!” (36 cards!)

Unit 10: Problem-Solving with Area in 2-D

50. Triangle Area Dominoes (18 cards!)

51. Rectangle Area Roundabouts (4 activities!)

52. Geometry Math Match (36 cards!)

53. Area Puzzler Problem-Solving (individual practice!)

54. Complex Area Problem-Solving (real world!)

Unit 11: Problem-Solving with Surface Area and Volume

55. How to Quantify a Three-Dimensional Figure Article (with graphic organizer!)

56. Surface Area and Volume Roundabouts (4 activities!)

57. On a Roll with Surface Area (unique problems for every student!)

58. Rectangular Prism Volume Triangler (16 cards!)

59. Packing a Prism Problem-Solving (hands on!)

Unit 12: Understanding Data Distributions

60. Statistical Question Sort (open-ended!)

61. Statistics, Center, and Spread Article (with partner reading activity!)

62. Statistics and Probability “I Have Who Has?” (21 cards!)

63. Pick a Card – Box-Plots (6 versions!)

Unit 13: Analyzing Data

64. Mean Absolute Deviation Poly Problem Solvers (4 activities!)

65. On a Roll with Statistics (unique problems for every student!)

66. Statistics Dominoes (16 cards!)

67. Statistics Roundabouts (4 activities!)

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 available individually, in smaller bundles, in the SUPER Bundle with other grade-level resources, and as part of my MEGA BUNDLE with stations for 6th, 7th, and 8th grade! Please check out my TPT store to explore your options!

**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.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.”

CCSS.Math.Content.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.”1

CCSS.Math.Content.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.

CCSS.Math.Content.6.RP.A.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

CCSS.Math.Content.6.RP.A.3b Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

CCSS.Math.Content.6.RP.A.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

CCSS.Math.Content.6.RP.A.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

CCSS.Math.Content.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?.

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

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

CCSS.Math.Content.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).

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.6.NS.C.6a Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.

CCSS.Math.Content.6.NS.C.6c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

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

CCSS.Math.Content.6.NS.C.7a Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret –3 > –7 as a statement that –3 is located to the right of –7 on a number line oriented from left to right.

CCSS.Math.Content.6.NS.C.7b Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write –3 oC > –7 oC to express the fact that –3 oC is warmer than –7 oC.

CCSS.Math.Content.6.NS.C.7c Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars.

CCSS.Math.Content.6.NS.C.7d Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.6.NS.C.6b Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

CCSS.Math.Content.6.NS.C.6c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

CCSS.Math.Content.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.

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

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

CCSS.Math.Content.6.EE.A.2a Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.

CCSS.Math.Content.6.EE.A.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.

CCSS.Math.Content.6.EE.A.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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 techniques in the context of solving real-world and mathematical problems.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

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

CCSS.Math.Content.6.SP.B.5a Reporting the number of observations.

CCSS.Math.Content.6.SP.B.5b Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

CCSS.Math.Content.6.SP.B.5c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

CCSS.Math.Content.6.SP.B.5d Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

BEST BUNDLE Sixth Grade Common Core Math Stations Complete Year by Kimberly Wasylyk is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

My Entire 6th Grade Math Curriculum includes these activities and every other resource I have created for sixth grade math!

You save 25% when buying the bundle as compared to all the activities purchased individually. That's like getting every fourth activity FREE! As I add more activities, I will increase the price accordingly, but you will have access to the new 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 my 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 an introduction to stations and the entire set of sixth grade math common core standards.

As my 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:

Stations Introduction

1. Stations Organization and Tips (5 pages!)

2. Article – Station Learning (with graphic organizer!)

3. Brainstorm Sheet – Station Rules (student centered!)

Unit 1:Ratios

4. Equal Ratios “Go Fish!” (36 cards!)

5. Unit Rates Poly Problem Solvers (4 activities!)

6. Ratios and Proportional Reasoning Article (with partner reading activity!)

7. Problem-Solving: Ratios Exploration (hands on!)

Unit 2: Rates, Including Percent

8. Proportion Dominoes (16 cards!)

9. Pick-a-Card: Recipe Remix (6 versions!)

10. Percent/Part of a Whole “I Have, Who Has?” (20 cards!)

11. Problem-Solving: Party Planning (individual practice!)

Unit 3: Multi-digit Computation, Common Factors and Multiples

12. Adding and Subtracting Decimals Roundabouts (4 activities!)

13. Multiplying Decimals Poly Problem Solvers (4 activities!)

14. Multi-Digit Dividing Triangler (16 cards!)

15. Dividing Decimals Dominoes (16 cards!)

16. Ordering and Operations – Decimals (3 stations!)

17. LCM Spin-Off (unique problems for every student!)

18. GCF Spin-Off (unique problems for every student!)

Unit 4: Dividing Fractions

19. Article – Dividing Fractions (with graphic organizer!)

20. Dividing Fractions “Go Fish!” (36 cards!)

21. Dividing Fractions Roundabouts (4 activities!)

22. Dividing Fractions Poly Problem Solvers (4 activities!)

Unit 5: Representing Relationships

23. Two-Variable Equations Dominoes (16 cards!)

24. I Have Who Has Coordinate Relationships (24 cards!)

25. Article – Variables: Dependent or Independent? (with partner reading activity!)

26. Pick-a-Card: Fundraiser Analysis (6 versions!)

Unit 6: Extending the Number System

27. Number System Three of a Kind and Sort (open ended!)

28. Numbers and Operations Math Match (36 cards!)

29. Ordering and Operations – Decimals (3 stations!)

30. Article – Integers in the Real World (with partner reading activity!)

31. Ordering and Operations - Integers (3 stations!)

32. Article – The Absolute Truth About Absolute Value (with graphic organizer!)

33. Absolute Value “Go Fish!” (36 cards!)

Unit 7: Relationships in the Coordinate Plane

34. Coordinate Graphs “Go Fish!” (36 cards!)

35. Pick-a-Card: Understanding Location (6 versions!)

36. Pick-a-Card: Finding Distances (6 versions!)

37. Three of a Kind – Coordinate Graphs (open-ended!)

Unit 8: Algebraic Expressions

38. Exponents Triangler (16 cards!)

39. Word Phrases Math Match (36 cards!)

40. Word and Symbol Sort (graphic organizer!)

41. On a Roll With Expressions (unique problems for every student!)

42. Equivalent Expressions Triangler (16 cards!)

Unit 9: Equations and Inequalities

43. Equations and Inequalities Spin-Off (24 cards!)

44. Equations and Inequalities Math Match (36 cards!)

45. Expressions & Equations “Three of a Kind” (open-ended!)

46. One-Variable Dominoes (16 cards!)

47. One-Step Equations Poly Problem Solvers (4 activities!)

48. Equations and Inequalities Triangler (16 cards!)

49. Inequality Word Problems “Go Fish!” (36 cards!)

Unit 10: Problem-Solving with Area in 2-D

50. Triangle Area Dominoes (18 cards!)

51. Rectangle Area Roundabouts (4 activities!)

52. Geometry Math Match (36 cards!)

53. Area Puzzler Problem-Solving (individual practice!)

54. Complex Area Problem-Solving (real world!)

Unit 11: Problem-Solving with Surface Area and Volume

55. How to Quantify a Three-Dimensional Figure Article (with graphic organizer!)

56. Surface Area and Volume Roundabouts (4 activities!)

57. On a Roll with Surface Area (unique problems for every student!)

58. Rectangular Prism Volume Triangler (16 cards!)

59. Packing a Prism Problem-Solving (hands on!)

Unit 12: Understanding Data Distributions

60. Statistical Question Sort (open-ended!)

61. Statistics, Center, and Spread Article (with partner reading activity!)

62. Statistics and Probability “I Have Who Has?” (21 cards!)

63. Pick a Card – Box-Plots (6 versions!)

Unit 13: Analyzing Data

64. Mean Absolute Deviation Poly Problem Solvers (4 activities!)

65. On a Roll with Statistics (unique problems for every student!)

66. Statistics Dominoes (16 cards!)

67. Statistics Roundabouts (4 activities!)

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 available individually, in smaller bundles, in the SUPER Bundle with other grade-level resources, and as part of my MEGA BUNDLE with stations for 6th, 7th, and 8th grade! Please check out my TPT store to explore your options!

**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.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.”

CCSS.Math.Content.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.”1

CCSS.Math.Content.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.

CCSS.Math.Content.6.RP.A.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

CCSS.Math.Content.6.RP.A.3b Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

CCSS.Math.Content.6.RP.A.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

CCSS.Math.Content.6.RP.A.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

CCSS.Math.Content.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?.

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

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

CCSS.Math.Content.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).

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.6.NS.C.6a Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.

CCSS.Math.Content.6.NS.C.6c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

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

CCSS.Math.Content.6.NS.C.7a Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret –3 > –7 as a statement that –3 is located to the right of –7 on a number line oriented from left to right.

CCSS.Math.Content.6.NS.C.7b Write, interpret, and explain statements of order for rational numbers in real-world contexts. For example, write –3 oC > –7 oC to express the fact that –3 oC is warmer than –7 oC.

CCSS.Math.Content.6.NS.C.7c Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars.

CCSS.Math.Content.6.NS.C.7d Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.6.NS.C.6b Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

CCSS.Math.Content.6.NS.C.6c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

CCSS.Math.Content.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.

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

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

CCSS.Math.Content.6.EE.A.2a Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.

CCSS.Math.Content.6.EE.A.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.

CCSS.Math.Content.6.EE.A.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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 techniques in the context of solving real-world and mathematical problems.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.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.

CCSS.Math.Content.6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

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

CCSS.Math.Content.6.SP.B.5a Reporting the number of observations.

CCSS.Math.Content.6.SP.B.5b Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.

CCSS.Math.Content.6.SP.B.5c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

CCSS.Math.Content.6.SP.B.5d Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

BEST BUNDLE Sixth Grade Common Core Math Stations Complete Year by Kimberly Wasylyk is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

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