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7th Grade Math

Colorado 7th Grade Math Curriculum

Video lessons and practice for every 7th grade math topic. Aligned to Colorado Academic Standards Math so your child keeps up with class.

Colorado 7th Grade Math Curriculum | StudyPugHelp

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ID

Standard

StudyPug Topic

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.

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.

7.NS.A.2

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

7.NS.A.3

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

7.EE.A.1

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

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.

7.EE.B.3

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, 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.

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.

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.

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.

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.

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.

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.

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.

7.SP.A.2

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest.

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.

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.

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.

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.

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.

7th Grade Math in Colorado

Colorado 7th grade math follows the Colorado Academic Standards (CAS) for Mathematics. Students work through a wide range of topics — from computing unit rates with fractions to finding probabilities of compound events. These standards build a strong foundation for 8th grade math and beyond.

Key Topics in Colorado 7th Grade Math

  • Ratios and Proportional Relationships: Unit rates with fractions, proportional relationships, and multi-step ratio and percent problems.
  • The Number System: Adding, subtracting, multiplying, and dividing rational numbers, including on number line diagrams.
  • Expressions and Equations: Linear expressions with rational coefficients, multi-step problems, and solving equations and inequalities.
  • Geometry: Scale drawings, constructing triangles, cross-sections of 3D figures, circles, angle relationships, area, volume, and surface area.
  • Statistics and Probability: Random samples, data distributions, measures of center and variability, and probability models including compound events.

How StudyPug Supports Colorado 7th Graders

StudyPug covers every topic listed above with short video lessons and practice problems. Students can search by topic, watch a lesson before a test, or go back and review something they missed in class. Every lesson is available on demand — no waiting for a tutor.

Colorado tests 7th grade math through the CMAS assessment. StudyPug lessons align to the same Colorado Academic Standards Math topics tested on CMAS, so students are practicing exactly what they need.

Building on 6th Grade, Preparing for 8th Grade

7th grade math connects directly to what students learned in 6th grade — ratios, expressions, and the number system. It also sets up pre-algebra skills needed for 8th grade, including solving equations and understanding proportional relationships. StudyPug lets students move at their own pace, whether they need to catch up or get ahead.