7th grade

7th grade

Here you will find all 7th grade resources to guide and support mathematics teaching and learning.

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These resources are organized by mathematical strand and refer to specific Common Core math content standards.

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7.G.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 rate.

Problems of the Month

Performance Assessment Tasks

7.G.2

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

Performance Assessment Tasks

7.G.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.

Problems of the Month

7.G.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.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.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.RP.1

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units.

Performance Assessment Tasks

7.RP.2

Recognize and represent proportional relationships between quantities.

Performance Assessment Tasks

7.RP.3

Use proportional relationships to solve multistep ratio and percent problems.

Performance Assessment Tasks

7.NS.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.2

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

Problems of the Month

Performance Assessment Tasks

7.NS.3

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

Performance Assessment Tasks

7.EE.1

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

Problems of the Month

7.EE.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.

Problems of the Month

7.EE.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.

Performance Assessment Tasks

7.EE.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.

7.SP.1

Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a sample 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.

Problems of the Month

Performance Assessment Tasks

7.SP.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.

Problems of the Month

7.SP.4

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

Problems of the Month

Performance Assessment Tasks

7.SP.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 indicates greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

7.SP.6

Approximate the probability of a chance event by collecting data on the chance process that produces it observing its long-run relative frequency, and predict the approximate relative frequency given the probability.

7.SP.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 discrepancy.

7.SP.8

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