7th Grade Math (Wisconsin Standards)

Ratios and Proportional Relationships (7.RP)

• M.7.RP.A.1 Compute unit rates with ratios of fractions, including lengths, areas and other quantities.
• M.7.RP.A.2 Recognize and represent proportional relationships.
  • a. Decide if quantities are proportional using tables or graphs.
  • b. Find the constant of proportionality in all forms.
  • c. Write equations for proportional relationships.
  • d. Explain points on the graph, including (0, 0) and (1, r).
• M.7.RP.A.3 Use proportional relationships for multistep ratio and percent problems such as tax, interest and markups.

The Number System (7.NS)

• M.7.NS.A.1 Add and subtract rational numbers and show them on a number line.
  • a. Describe situations where opposites combine to 0.
  • b. See p + q as moving
  • c. See subtraction as adding the opposite; distance is
  • d. Use properties of operations to add and subtract.
• M.7.NS.A.2 Multiply and divide rational numbers.
  • a. Extend multiplication to signed numbers using properties.
  • b. Understand integer division with nonzero divisors gives rational numbers.
  • c. Use properties to multiply and divide rational numbers.
  • d. Convert rational numbers to decimals by long division.
• M.7.NS.A.3 Solve real-world problems with the four operations on rational numbers.

Expressions and Equations (7.EE)

• M.7.EE.A.1 Use properties of operations to add, subtract, factor and expand linear expressions with rational coefficients.
• M.7.EE.A.2 Understand that rewriting an expression can show how quantities in a problem relate.
• M.7.EE.B.3 Solve multistep problems with rational numbers in any form, using tools strategically and checking by estimation.
• M.7.EE.B.4 Use variables to write and solve simple equations and inequalities for problems.
  • a. Solve word problems leading to equations like px + q = r or p(x + q) = r.
  • b. Solve px + q > r or < r problems and graph solutions.

Geometry (7.G)

• M.7.G.A.1 Solve problems with scale drawings, finding actual lengths and areas and redrawing at another scale.
• M.7.G.A.2 Draw shapes with given conditions, focusing on when three measures give a unique triangle.
• M.7.G.A.3 Describe the 2D figures made by slicing prisms and pyramids parallel to the base.
• M.7.G.B.4 Know and use circle area and circumference formulas and informally relate them.
• M.7.G.B.5 Use supplementary, complementary, vertical and adjacent angles to write and solve equations for unknown angles.
• M.7.G.B.6 Solve problems with area, volume and surface area of objects made of polygons, cubes and right prisms.

Statistics and Probability (7.SP)

• M.7.SP.A.1 Understand that samples give information about populations when representative, and that random sampling supports valid inference.
• M.7.SP.A.2 Use random samples to draw inferences and use repeated samples to see how estimates vary.
• M.7.SP.B.3 Judge the overlap of two data distributions, expressing the difference in centers as a multiple of variability.
• M.7.SP.B.4 Use center and variability from random samples to compare two populations informally.
• M.7.SP.C.5 Understand probability as a number from 0 to 1 showing how likely an event is.
• M.7.SP.C.6 Estimate probability from long-run relative frequency and predict frequency from probability.
• M.7.SP.C.7 Develop probability models, compare them with observed frequencies and explain differences.
  • a. Build a uniform model with equally likely outcomes.
  • b. Build a model from observed frequencies.
• M.7.SP.C.8 Find probabilities of compound events with lists, tables, tree diagrams and simulation.
  • a. Compound probability is a fraction of the sample space.
  • b. Represent sample spaces and find outcomes in events.
  • c. Design and use simulations for compound events.