7th Grade Math (Missouri Learning Standards)

Ratios and Proportional Relationships (RP), cluster A

• 7.RP.A.1 Find unit rates, including ones with complex fractions and mixed units.
• Recognize and show proportional relationships.
• 7.RP.A.2a Decide whether two quantities are proportional.
• 7.RP.A.2b Find the constant of proportionality (the unit rate).
• 7.RP.A.2c Explain what a point (x, y) on a proportional graph means in the situation.
• 7.RP.A.2d Know every proportional graph goes through the origin.
• 7.RP.A.3 Solve problems with ratios, rates, percents, and proportions.

Number and Sense Operations (NS), cluster A

• Extend earlier number work to adding and subtracting rational numbers.
• 7.NS.A.1a Add and subtract rational numbers.
• 7.NS.A.1b Show addition and subtraction on horizontal or vertical number lines.
• 7.NS.A.1c Describe situations where a number and its opposite add to 0.
• 7.NS.A.1d See subtracting a rational number as adding its opposite.
• 7.NS.A.1e Find the distance between two rational numbers as the absolute value of their difference.
• 7.NS.A.1f Interpret sums and differences of rational numbers.
• Extend earlier number work to multiplying and dividing rational numbers.
• 7.NS.A.2a Multiply and divide rational numbers.
• 7.NS.A.2b Know a number times its reciprocal equals 1.
• 7.NS.A.2c Know any quotient of integers with a nonzero divisor is rational.
• 7.NS.A.2d Turn a rational number into a decimal.
• 7.NS.A.2e Know any rational number can be written as a fraction or as a decimal that ends or repeats.
• 7.NS.A.2f Interpret products and quotients of rational numbers with real-world examples.
• 7.NS.A.3 Solve problems using all four operations with rational numbers.

Expressions, Equations and Inequalities (EEI), cluster A

• 7.EEI.A.1 Use properties of operations to simplify and factor linear expressions with rational coefficients.
• 7.EEI.A.2 Use equivalent expressions to make the quantities in a problem clearer.

Expressions, Equations and Inequalities (EEI), cluster B

• Solve multi-step problems with rational numbers.
• 7.EEI.B.3a Move between equivalent forms of a number.
• 7.EEI.B.3b Check answers for reasonableness with mental math and estimation.
• Write or solve one-variable linear equations and inequalities.
• 7.EEI.B.4a Write or solve equations like x + p = q and px = q with rational p and q.
• 7.EEI.B.4b Write or solve two-step equations (forms like px + q = r or p(x + q) = r) and interpret the solution.
• 7.EEI.B.4c Write, solve, or graph inequalities like px + q > r or px + q < r.

Geometry and Measurement (GM), cluster A

• 7.GM.A.1 Solve scale drawing problems: find real lengths and areas and redraw at another scale.
• Use different tools to construct shapes.
• 7.GM.A.2a Decide by construction whether given conditions make exactly one triangle.
• 7.GM.A.2b Construct special quadrilaterals from given conditions.
• 7.GM.A.3 Describe the flat cross sections made by slicing prisms, pyramids, cylinders, and cones.
• Understand circles.
• 7.GM.A.4a Analyze how circumference, radius, diameter, area, and pi relate.
• 7.GM.A.4b Know and use the circumference and area formulas for circles.

Geometry and Measurement (GM), cluster B

• 7.GM.B.5 Use angle facts to set up and solve equations for a missing angle.
• Understand how area, surface area, and volume relate.
• 7.GM.B.6a Find areas of triangles, quadrilaterals, and polygons made of triangles and rectangles.
• 7.GM.B.6b Find the volume and surface area of cylinders, pyramids, and prisms.

Data Analysis, Statistics and Probability (DSP), cluster A

• Understand that studying a sample can tell us about a population.
• 7.DSP.A.1a Know a sample is part of a population.
• 7.DSP.A.1b Know conclusions from a sample hold only if the sample represents the population.
• 7.DSP.A.1c Know random sampling gives representative samples and supports valid inferences.
• 7.DSP.A.2 Use several samples to make inferences about a population and see how estimates vary.

Data Analysis, Statistics and Probability (DSP), cluster B

• 7.DSP.B.3 Analyze different data distributions with statistical measures.
• 7.DSP.B.4 Compare center, frequency, and spread from two random samples to infer about populations.

Data Analysis, Statistics and Probability (DSP), cluster C

• Explore the probability of chance events.
• 7.DSP.C.5a Find probabilities of simple events.
• 7.DSP.C.5b Know probability is a number from 0 to 1 showing how likely an event is.
• Explore how theoretical and experimental probabilities of simple events relate.
• 7.DSP.C.6a Predict outcomes with theoretical probability.
• 7.DSP.C.6b Run experiments that model theoretical probability.
• 7.DSP.C.6c Compare theoretical and experimental probabilities.
• Explain why a probability model and observed results may not match.
• 7.DSP.C.7a Build a uniform model with equally likely outcomes and use it to find probabilities.
• 7.DSP.C.7b Build a model, possibly non-uniform, from frequencies observed in a chance process.
• Find compound event probabilities with lists, tables, tree diagrams, and simulations.
• 7.DSP.C.8a Show the sample space of a compound event.
• 7.DSP.C.8b Design and use a simulation to find frequencies of compound events.