Common Planner
K–12 Standards

Grade 7

Other Colorado Extended Evidence Outcomes: Mathematics sets

Ratios & Proportional Relationships: Analyze proportional relationships and use them to solve real-world and mathematical problems.7.RP.A

  • 1

    Compute unit rates associated with ratios of whole numbers, including ratios of lengths, areas, and other quantities measured in like or different units.7.RP.A.1

    1. a

      For example, if a person walks 6 miles in 2 hours, compute the unit rate as the fraction 6 , equivalently 3 miles per hour.7.RP.A.1.a

  • 2

    Represent proportional relationships between quantities using a table.7.RP.A.2

  • 3

    Use proportional relationships to solve simple ratio and percent problems.7.RP.A.3

    1. a

      Examples: simple interest, tax, markups and markdowns, and gratuities.7.RP.A.3.a

The Number System: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.7.NS.A

  • 1

    Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers with single-digit numerators and denominators up to at least 12.7.NS.A.1

    1. a

      Represent addition and subtraction on a horizontal or vertical number line diagram. For example, add - 1 + 3 to get 1 .7.NS.A.1.a

  • 2

    Apply and extend previous understandings of multiplication and division and or fractions to multiply and divide rational numbers with single-digit numerators and denominators up to at least 12, e.g., by using visual fraction models or equations to represent the problem.7.NS.A.2

    1. a

      For example, dividing 3 of a pizza into pieces the size of 1 of the whole 4 4 pizza can be written as 3 divided by 1 , and it yields 3 pieces.7.NS.A.2.a

  • 3

    Solve real-world and mathematical problems involving the four operations.7.NS.A.3

Expressions & Equations: Use properties of operations to generate equivalent expressions.7.EE.A

  • 1

    Apply properties of operations as strategies to add and subtract linear expressions with whole number coefficients. For example, 2x + 3x is 5x.7.EE.A.1

  • 2

    Demonstrate that rewriting an expression in different forms can shed light on the problem and how the quantities in it are related.7.EE.A.2

    1. a

      For example, if 3 people at lunch spend $21 for sandwiches, the expression $7 x 3 tells us that it was 7 dollars for each of the 3 sandwiches.7.EE.A.2.a

Expressions & Equations: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.7.EE.B

  • 3

    Solve multi-step real-life and mathematical problems posed with whole numbers, benchmark fractions, and/or decimals to two decimal places. Numbers should combine cleanly for simpler calculations.7.EE.B.3

    1. a

      For example, if a sandwich costs $6.50 and a drink costs $1.50, but you have a coupon to save 1 off the total, how much will you spend for the 4 sandwich and the drink?7.EE.B.3.a

  • 4

    Solve real-world or mathematical problems using simple equations containing variables.7.EE.B.4

    1. b

      For example, if x number of glasses of water plus 2 glasses of water makes 8 glasses of water total, then x must be 6 glasses of water.7.EE.B.4.b

    2. c

      Represent the problems using objects or drawings and match the situations to equations (in this case, x + 2 = 8).7.EE.B.4.c

Statistics & Probability: Use random sampling to draw inferences about a population.7.SP.A

  • 1

    Understand that statistics usually involves measuring something about a sample to learn something about a problem.7.SP.A.1

  • 2

    Use data from a sample to answer a statistical question.7.SP.A.2

    1. a

      For example, conclude from a sample of the class that most students like chocolate ice cream.7.SP.A.2.a

Statistics & Probability: Draw informal comparative inferences about two populations. 7.SP.B

  • 3

    Informally compare two sets of data within a single data display, such as a picture graph, line plot, or bar graph.7.SP.B.3

  • 4

    Use given measures of center and given measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.7.SP.B.4

    1. a

      For example, if the average height of a class of 8th graders is 5 feet 5 inches, and the average height of a class of 7th graders is 5 feet 2 inches, which population is more likely taller on average, 8th graders of 7th graders?7.SP.B.4.a

Statistics & Probability: Investigate chance processes and develop, use, and evaluate probability models.7.SP.C

  • 5

    Indicate an understanding that the probability of a chance event can be 0, for things that never happen, between 0 and 1, for things that sometimes happen, or 1, for things that always happen.7.SP.C.5

  • 6

    Collect data on a chance process (e.g., flipping a coin, rolling a die) and observe its long-run relative frequency.7.SP.C.6

  • 7

    Compare probabilities from a model to observed frequencies and identify when agreement is not good.7.SP.C.7

    1. a

      For example, given that the probability of flipping heads is 0.5, getting 8 heads out of 10 flips is not good agreement with the model.7.SP.C.7.a

  • 8

    Find probabilities of compound events using organized lists and tree diagrams. 7.SP.C.8

Geometry: Draw, construct, and describe geometrical figures and describe the relationships between them.7.G.A

  • 1

    Match corresponding parts of scale drawings of geometric figures and compare given lengths and areas.7.G.A.1

  • 2

    Create triangles with given conditions and recognize that some combinations of side lengths and/or angles cannot be made into a triangle.7.G.A.2

  • 3

    Describe rectangular cross-sections from right rectangular prisms.7.G.A.3

Geometry: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.7.G.B

  • 4

    Use the formula for the area and circumference of a circle to solve problems. 7.G.B.4

  • 5

    Recognize angles that are acute, obtuse, and right (EE.7.G.B.5). 7.G.B.5

  • 6

    Solve real-world and mathematical problems involving the area of triangles, rectangles, and circles, and the volume and surface area of right rectangular prisms.7.G.B.6

Frequently asked questions

What grade levels do these standards cover?
Grade 7

Keep exploring

Keep exploring Extended Evidence Outcomes: Mathematics standards

Sibling grade bands, other subjects in this jurisdiction, and the same subject across other states.

More Colorado Extended Evidence Outcomes: Mathematics sets

Extended Evidence Outcomes: Mathematics