7th Grade Math Unit Resources

Proportional Relationships: Ratios, Rates and Circles

• 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.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.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.RP.A.2 – Recognize and represent proportional relationships between quantities.

• 7.RP.A.3 – Use proportional relationships to solve multistep ratio and percent problems

Numbers and Operations: Add and Subtract Rational Numbers

• 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.

 Numbers and Operations: Multiply and Divide  Rational Numbers

• 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.B.3 – Solve multistep real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically and converting between forms as needed.

Algebraic Thinking: Expressions, Equations, and Inequalities

• 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 can show how quantities are related.

• 7.EE.B.4 – Use variables to represent quantities in real-world or mathematical problems, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Proportional Reasoning: Percents and Statistical Samples

• 7.RP.A.3 – Use proportional relationships to solve multistep ratio and percent problems.

• 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.

• 7.SP.A.2 – Use data from a random sample to draw inferences about a population with an unknown characteristic.

• 7.SP.B.3 – Informally assess the degree of visual overlap of two numerical data distributions with similar variability, measuring the difference between their centers.

• 7.SP.B.4 – Use measures of center and variability to draw informal comparative inferences about two populations.

Geometry: Solids, Triangles, and Angles

• 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, and notice when 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 parallel to or perpendicular to the base.

• 7.G.B.5 – Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle.

• 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.

Probability: Theoretical Probability, Experimental Probability , and Compound Events

• 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.

• 7.SP.C.6 – Approximate the probability of a chance event by collecting data on the relative frequency of the event occurring over many trials.

• 7.SP.C.7 – Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies and explain possible differences.

• 7.SP.C.8 – Find probabilities of compound events using organized lists, tables, tree diagrams, and simulations.