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7th Grade Math

North Dakota 7th Grade Math Curriculum

Video lessons and practice for every 7th grade math topic. Aligned to North Dakota Mathematics Content Standards so your child keeps up with class.

North Dakota 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 North Dakota

North Dakota 7th grade math is built around the North Dakota Mathematics Content Standards. Students move from whole-number and fraction work into the full set of rational numbers — positive and negative — and apply them across every domain. The NDSA assesses 7th graders on these standards, so building a strong foundation now matters.

Key Topics in 7th Grade Math

  • Ratios and Proportional Relationships: Unit rates with fractions, proportional relationships, and multi-step percent problems including tax, tip, discount, and percent change.
  • The Number System: Adding, subtracting, multiplying, and dividing rational numbers, including negative integers and fractions, with real-world applications.
  • Expressions and Equations: Writing and simplifying linear expressions, solving multi-step equations and inequalities, and using variables to model real-world problems.
  • Geometry: Scale drawings, constructing triangles, cross-sections of 3D figures, circle area and circumference, angle relationships, and surface area and volume.
  • Statistics and Probability: Random sampling, drawing inferences, comparing two populations, and finding probabilities of simple and compound events.

How StudyPug Supports North Dakota 7th Graders

StudyPug provides video lessons and practice problems for every topic listed above. Each lesson is 5–15 minutes long, broken into short segments students can pause and replay. After watching, students practice with problems that mirror what they see in class and on the NDSA.

Whether your child is stuck on a homework problem tonight or wants to get ahead before a test, StudyPug is available on any device — computer, tablet, or phone — anytime.

Preparing for the NDSA in 7th Grade

North Dakota administers the NDSA (North Dakota State Assessment) in math for grades 3–8. The 7th grade assessment covers all domains of the North Dakota Mathematics Content Standards. StudyPug's topic table maps directly to these standards, so students and parents can find exactly what they need to review before test day.