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7.SP.A.1, 7.SP.A.2, 7.SP.B.3, 7.SP.B.4, 7.SP.C.5, 7.SP.C.6 ..., 7.SP.C.7, 7.SP.C.7a, 7.SP.C.7b, 7.SP.C.8, 7.SP.C.8a, 7.SP.C.8b, 7.SP.C.8c, 7.NS.A.1, 7.NS.A.1a, 7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d, 7.NS.A.2, 7.NS.A.2a, 7.NS.A.2b, 7.NS.A.2c, 7.NS.A.2d, 7.NS.A.3, 7.EE.A.1, 7.EE.A.2, 7.EE.B.3, 7.EE.B.4, 7.EE.B.4a, 7.EE.B.4b, 7.RP.A.1, 7.RP.A.2, 7.RP.A.2a, 7.RP.A.2b, 7.RP.A.2c, 7.RP.A.2d, 7.RP.A.3

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PDF (Acrobat) Document File

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56.55 MB | 457 pages

Be sure that you have an application to open this file type before downloading and/or purchasing.

56.55 MB | 457 pages

This 457 page file includes station activities which cover the ENTIRE YEAR. They are designed to align with common core standards for seventh 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.

My Entire 7th Grade Math Curriculum includes these activities and every other resource I have created for seventh grade math!

I created these activities to use in station rotations in a seventh 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 the the whole school year:

Unit 1: Proportional Reasoning

Unit 2: Proportional Relationships

Unit 3: Proportional Reasoning with Percents

Unit 4: Adding and Subtracting Rational Numbers

Unit 5: Multiplying and Dividing Rational Numbers

Unit 6: Expressions

Unit 7: Equations and Inequalities.

Unit 8: Probability of Simple Events

Unit 9: Probability of Compound Events

Unit 10: Statistics

Unit 11: 2-D Geometry

Unit 12: 3-D Geometry

Unit 13: Scale Drawings

Unit 14: Geometric Constructions

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. Dominoes - Unit Rates (16 cards!)

3. Article - Unit Rates and Complex Fractions (with Graphic Organizers!)

4. Triangler - Complex Rates (16 puzzle pieces!)

5. Three of a Kind - Complex Rates (Open-ended!)

6. Dominoes - Proportional Equations (16 cards!)

7. Go Fish - Unit Rates in Tables (36 cards!)

8. Problem-Solving - Unit Rates and Graphs (Real-World!)

9. Pick-a-Card - Proportional Relationships (6 versions!)

10. Roundabout - Gratuity and Commission (4 different activities!)

11. I Have Who Has - Percent and Proportional Reasoning (18 cards!)

12. Article - Percent Problems (with Graphic Organizers!)

13. Triangler - Percent Problems (16 puzzle pieces!)

14. Math Match - Integer Addition and Subtraction (36 cards!)

15. Poly-Problem-Solver - Subtracting Rationals (4 different activities!)

16. Roundabouts - Adding Integers (4 different activities!)

17. Article - Integers and Opposites (with graphic organizers!)

18. Triangler - Adding Rationals (16 puzzle pieces!)

19. Poly-Problem-Solver - Dividing Rationals (4 different activities!)

20. Go Fish - Dividing Rationals (36 cards!)

21. Ordering and Operations – Rationals (3 stations in one!)

22. On A Roll - Integer Expressions (unique problems for each student!)

23. Triangler - Multiplying Rationals (16 puzzle pieces!)

24. Math Match - Percents (36 Cards!)

25. I Have Who Has - Equivalent Expressions (18 questions!)

26. Problem-Solving - Expressions (Real-World!)

27. Three of a Kind - Relationships with Percents (Open-Ended!)

28. Dominoes - Two-Step Equations (16 Cards!)

29. Math Match - Two-Step Inequalities (36 Cards!)

30. Poly-Problem-Solver - Two-Step Inequalities (4 Activities!)

31. Pick-A-Card - Managing Money with Equations (6 Versions!)

32. Stations Organization and Tips (5 Pages!)

33. Dominoes - Probability Models (16 Cards!)

34. I Have Who Has - Simple Events (18 Questions!)

35. Spin-Off - Probability (Unique Results for Each Student!)

36. Three of a Kind - Probability Models (Open-Ended!)

37. Poly-Problem-Solver - Tree Diagrams (4 Activities!)

38. Roundabout - Compound Events (4 Activities!)

39. Problem-Solving - Simulation (Real-World!)

40. Pick-A-Card - Compound Events and Organized Lists (6 Versions!)

41. Go Fish - Statistics (36 cards!)

42. Article - Random Sampling (With Graphic Organizers!)

43. Problem-Solving - Random Samples (Real-World!)

44. Pick-A-Card - Comparing Data (6 Versions!)

45. I Have Who Has - 2-D Geometry (15 Questions!)

46. Roundabout – Circumference (4 Activities!)

47. Poly-Problem-Solver - Circle Area (4 Activities!)

48. Three of a Kind - 2-D Geometry (Open-Ended!)

49. Dominoes - 3-D Figures (18 Cards!)

50. On A Roll - Surface Area and Volume (Unique Problem for Each Student!)

51. Roundabout - Volume and Surface Area (4 Activities!)

52. Go Fish - Slicing 3-D Figures (36 cards!)

53. Math Match - Finding Scale (36 Cards!)

54. I Have Who Has – Scale (15 Questions!)

55. Pick-A-Card - Scale Drawings (6 Versions!)

56. Three of a Kind - Scale Drawings (Open-Ended!)

57. Article - Geometric Constructions (With Graphic Organizers!)

58. Problem-Solving - Triangle Constructions (Requires Reasoning!)

59. Spin-Off - Triangle Construction (Unique Problems for Each Student!)

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.7.RP.A.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

CCSS.MATH.CONTENT.7.RP.A.2

Recognize and represent proportional relationships between quantities.

CCSS.MATH.CONTENT.7.RP.A.2.A

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

CCSS.MATH.CONTENT.7.RP.A.2.B

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

CCSS.MATH.CONTENT.7.RP.A.2.C

Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

CCSS.MATH.CONTENT.7.RP.A.2.D

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

CCSS.MATH.CONTENT.7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

CCSS.MATH.CONTENT.7.NS.A.1

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

CCSS.MATH.CONTENT.7.NS.A.1.A

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

CCSS.MATH.CONTENT.7.NS.A.1.B

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.1.C

Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.1.D

Apply properties of operations as strategies to add and subtract rational numbers.

CCSS.MATH.CONTENT.7.NS.A.2

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

CCSS.MATH.CONTENT.7.NS.A.2.A

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.2.B

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.2.C

Apply properties of operations as strategies to multiply and divide rational numbers.

CCSS.MATH.CONTENT.7.NS.A.2.D

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

CCSS.MATH.CONTENT.7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers.

CCSS.MATH.CONTENT.7.EE.A.1

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

CCSS.MATH.CONTENT.7.EE.A.2

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05."

CCSS.MATH.CONTENT.7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

CCSS.MATH.CONTENT.7.EE.B.4

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

CCSS.MATH.CONTENT.7.EE.B.4.A

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

CCSS.MATH.CONTENT.7.EE.B.4.B

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

CCSS.MATH.CONTENT.7.SP.A.1

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

CCSS.MATH.CONTENT.7.SP.A.2

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

CCSS.MATH.CONTENT.7.SP.B.3

Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.

CCSS.MATH.CONTENT.7.SP.B.4

Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

CCSS.MATH.CONTENT.7.SP.C.5

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

CCSS.MATH.CONTENT.7.SP.C.6

Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.

CCSS.MATH.CONTENT.7.SP.C.7

Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

CCSS.MATH.CONTENT.7.SP.C.7.A

Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.

CCSS.MATH.CONTENT.7.SP.C.7.B

Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?

CCSS.MATH.CONTENT.7.SP.C.8

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

CCSS.MATH.CONTENT.7.SP.C.8.A

Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

CCSS.MATH.CONTENT.7.SP.C.8.B

Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.

CCSS.MATH.CONTENT.7.SP.C.8.C

Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?

CCSS.MATH.CONTENT.7.G.A.1

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

CCSS.MATH.CONTENT.7.G.A.2

Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

CCSS.MATH.CONTENT.7.G.A.3

Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

CCSS.MATH.CONTENT.7.G.B.4

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

CCSS.MATH.CONTENT.7.G.B.5

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

CCSS.MATH.CONTENT.7.G.B.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

THE BEST BUNDLE Seventh 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 7th Grade Math Curriculum includes these activities and every other resource I have created for seventh grade math!

I created these activities to use in station rotations in a seventh 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 the the whole school year:

Unit 1: Proportional Reasoning

Unit 2: Proportional Relationships

Unit 3: Proportional Reasoning with Percents

Unit 4: Adding and Subtracting Rational Numbers

Unit 5: Multiplying and Dividing Rational Numbers

Unit 6: Expressions

Unit 7: Equations and Inequalities.

Unit 8: Probability of Simple Events

Unit 9: Probability of Compound Events

Unit 10: Statistics

Unit 11: 2-D Geometry

Unit 12: 3-D Geometry

Unit 13: Scale Drawings

Unit 14: Geometric Constructions

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. Dominoes - Unit Rates (16 cards!)

3. Article - Unit Rates and Complex Fractions (with Graphic Organizers!)

4. Triangler - Complex Rates (16 puzzle pieces!)

5. Three of a Kind - Complex Rates (Open-ended!)

6. Dominoes - Proportional Equations (16 cards!)

7. Go Fish - Unit Rates in Tables (36 cards!)

8. Problem-Solving - Unit Rates and Graphs (Real-World!)

9. Pick-a-Card - Proportional Relationships (6 versions!)

10. Roundabout - Gratuity and Commission (4 different activities!)

11. I Have Who Has - Percent and Proportional Reasoning (18 cards!)

12. Article - Percent Problems (with Graphic Organizers!)

13. Triangler - Percent Problems (16 puzzle pieces!)

14. Math Match - Integer Addition and Subtraction (36 cards!)

15. Poly-Problem-Solver - Subtracting Rationals (4 different activities!)

16. Roundabouts - Adding Integers (4 different activities!)

17. Article - Integers and Opposites (with graphic organizers!)

18. Triangler - Adding Rationals (16 puzzle pieces!)

19. Poly-Problem-Solver - Dividing Rationals (4 different activities!)

20. Go Fish - Dividing Rationals (36 cards!)

21. Ordering and Operations – Rationals (3 stations in one!)

22. On A Roll - Integer Expressions (unique problems for each student!)

23. Triangler - Multiplying Rationals (16 puzzle pieces!)

24. Math Match - Percents (36 Cards!)

25. I Have Who Has - Equivalent Expressions (18 questions!)

26. Problem-Solving - Expressions (Real-World!)

27. Three of a Kind - Relationships with Percents (Open-Ended!)

28. Dominoes - Two-Step Equations (16 Cards!)

29. Math Match - Two-Step Inequalities (36 Cards!)

30. Poly-Problem-Solver - Two-Step Inequalities (4 Activities!)

31. Pick-A-Card - Managing Money with Equations (6 Versions!)

32. Stations Organization and Tips (5 Pages!)

33. Dominoes - Probability Models (16 Cards!)

34. I Have Who Has - Simple Events (18 Questions!)

35. Spin-Off - Probability (Unique Results for Each Student!)

36. Three of a Kind - Probability Models (Open-Ended!)

37. Poly-Problem-Solver - Tree Diagrams (4 Activities!)

38. Roundabout - Compound Events (4 Activities!)

39. Problem-Solving - Simulation (Real-World!)

40. Pick-A-Card - Compound Events and Organized Lists (6 Versions!)

41. Go Fish - Statistics (36 cards!)

42. Article - Random Sampling (With Graphic Organizers!)

43. Problem-Solving - Random Samples (Real-World!)

44. Pick-A-Card - Comparing Data (6 Versions!)

45. I Have Who Has - 2-D Geometry (15 Questions!)

46. Roundabout – Circumference (4 Activities!)

47. Poly-Problem-Solver - Circle Area (4 Activities!)

48. Three of a Kind - 2-D Geometry (Open-Ended!)

49. Dominoes - 3-D Figures (18 Cards!)

50. On A Roll - Surface Area and Volume (Unique Problem for Each Student!)

51. Roundabout - Volume and Surface Area (4 Activities!)

52. Go Fish - Slicing 3-D Figures (36 cards!)

53. Math Match - Finding Scale (36 Cards!)

54. I Have Who Has – Scale (15 Questions!)

55. Pick-A-Card - Scale Drawings (6 Versions!)

56. Three of a Kind - Scale Drawings (Open-Ended!)

57. Article - Geometric Constructions (With Graphic Organizers!)

58. Problem-Solving - Triangle Constructions (Requires Reasoning!)

59. Spin-Off - Triangle Construction (Unique Problems for Each Student!)

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.7.RP.A.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

CCSS.MATH.CONTENT.7.RP.A.2

Recognize and represent proportional relationships between quantities.

CCSS.MATH.CONTENT.7.RP.A.2.A

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

CCSS.MATH.CONTENT.7.RP.A.2.B

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

CCSS.MATH.CONTENT.7.RP.A.2.C

Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

CCSS.MATH.CONTENT.7.RP.A.2.D

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

CCSS.MATH.CONTENT.7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

CCSS.MATH.CONTENT.7.NS.A.1

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

CCSS.MATH.CONTENT.7.NS.A.1.A

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

CCSS.MATH.CONTENT.7.NS.A.1.B

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.1.C

Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.1.D

Apply properties of operations as strategies to add and subtract rational numbers.

CCSS.MATH.CONTENT.7.NS.A.2

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

CCSS.MATH.CONTENT.7.NS.A.2.A

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.2.B

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.

CCSS.MATH.CONTENT.7.NS.A.2.C

Apply properties of operations as strategies to multiply and divide rational numbers.

CCSS.MATH.CONTENT.7.NS.A.2.D

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

CCSS.MATH.CONTENT.7.NS.A.3

Solve real-world and mathematical problems involving the four operations with rational numbers.

CCSS.MATH.CONTENT.7.EE.A.1

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

CCSS.MATH.CONTENT.7.EE.A.2

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05."

CCSS.MATH.CONTENT.7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

CCSS.MATH.CONTENT.7.EE.B.4

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

CCSS.MATH.CONTENT.7.EE.B.4.A

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

CCSS.MATH.CONTENT.7.EE.B.4.B

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

CCSS.MATH.CONTENT.7.SP.A.1

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

CCSS.MATH.CONTENT.7.SP.A.2

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

CCSS.MATH.CONTENT.7.SP.B.3

Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.

CCSS.MATH.CONTENT.7.SP.B.4

Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

CCSS.MATH.CONTENT.7.SP.C.5

Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

CCSS.MATH.CONTENT.7.SP.C.6

Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.

CCSS.MATH.CONTENT.7.SP.C.7

Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

CCSS.MATH.CONTENT.7.SP.C.7.A

Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.

CCSS.MATH.CONTENT.7.SP.C.7.B

Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?

CCSS.MATH.CONTENT.7.SP.C.8

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

CCSS.MATH.CONTENT.7.SP.C.8.A

Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

CCSS.MATH.CONTENT.7.SP.C.8.B

Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.

CCSS.MATH.CONTENT.7.SP.C.8.C

Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?

CCSS.MATH.CONTENT.7.G.A.1

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

CCSS.MATH.CONTENT.7.G.A.2

Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

CCSS.MATH.CONTENT.7.G.A.3

Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

CCSS.MATH.CONTENT.7.G.B.4

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

CCSS.MATH.CONTENT.7.G.B.5

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

CCSS.MATH.CONTENT.7.G.B.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

THE BEST BUNDLE Seventh 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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