7th Grade Math (Kentucky Academic Standards)

Ratios and Proportional Relationships (RP)

• KY.7.RP.1 Find unit rates for ratios of fractions, including lengths and areas.
• KY.7.RP.2 Recognize and show proportional relationships in tables, graphs, equations and words.
  • a. Decide whether two quantities are in a proportional relationship.
  • b. Find the constant of proportionality in different representations.
  • c. Write equations for proportional relationships.
  • d. Explain what points on the graph of a proportional relationship mean in context.
• KY.7.RP.3 Solve multi-step percent problems for a part, a whole or a percent.
  • a. Find a percent of a quantity as a rate per 100.
  • b. Use proportional reasoning for tax, markups, discounts and similar situations.

The Number System (NS)

• KY.7.NS.1 Add and subtract rational numbers using number lines and properties of operations.
  • a. Know that opposite quantities combine to make zero.
  • b. Add rational numbers by moving along a number line.
  • c. Subtract by adding the opposite and find the distance between numbers.
  • d. Use properties of operations to add and subtract rational numbers.
• KY.7.NS.2 Multiply and divide rational numbers, extending what is known about fractions and integers.
  • a. Extend multiplication to negative numbers while keeping the properties of operations.
  • b. Divide integers by non-zero divisors and understand where signs go in fractions.
  • c. Use properties of operations as strategies to multiply and divide.
• KY.7.NS.3 Solve real-world problems with the four operations on rational numbers.

Expressions and Equations (EE)

• KY.7.EE.1 Use properties of operations to add, subtract, factor and expand linear expressions.
• KY.7.EE.2 Rewrite expressions in different forms to show how the quantities in a problem relate.
• KY.7.EE.3 Solve multi-step problems with rational numbers in any form and check reasonableness.
• KY.7.EE.4 Write and solve equations and inequalities for quantities in real problems.
  • a. Solve and graph equations of the forms px + q = r and p(x + q) = r.
  • b. Solve and graph inequalities of the form px + q compared with r.

Geometry (G)

• KY.7.G.1 Solve scale drawing problems, finding real lengths and areas and redrawing at a new scale.
• KY.7.G.2 Draw shapes from given conditions and decide when a triangle is unique, not unique or impossible.
• KY.7.G.3 Describe the 2-D cross sections made by slicing right rectangular prisms and pyramids.
• KY.7.G.4 Use the area and circumference formulas for circles and understand how they relate.
  • a. Use circle formulas in real-world and mathematical problems.
  • b. Understand how radius, diameter, circumference and area are connected.
• KY.7.G.5 Write and solve equations for unknown angles using angle relationships.
• KY.7.G.6 Solve area, surface area and volume problems for 2-D and 3-D figures.
  • a. Find the area of figures made of polygons and other shapes.
  • b. Solve volume and surface area problems for cubes, pyramids and prisms.

Statistics and Probability (SP)

• KY.7.SP.0 Make circle graphs, picture graphs and bar graphs to compare samples of categorical data.
• KY.7.SP.1 Use representative random samples to learn about a population.
• KY.7.SP.2 Use random samples to infer features of a population and judge how much estimates vary.
  • a. Compare the variation in several equal-sized categorical samples.
  • b. Compare the variation in numerical samples, real or simulated.
  • c. Judge how far an estimate might be from the true value.
• KY.7.SP.3 Describe how much two distributions overlap by comparing centers with variability.
• KY.7.SP.4 Use sample means, medians and variability to compare two populations.
• KY.7.SP.5 Know probabilities run from 0 to 1 and show how likely an event is.
• KY.7.SP.6 Estimate probabilities from the long-run relative frequency of repeated trials.
• KY.7.SP.7 Build probability models and compare their predictions with observed results.
  • a. Build a uniform model that gives every outcome the same probability.
  • b. Build a model that may not be uniform from observed frequencies of a chance process.
• KY.7.SP.8 Find probabilities of compound events with lists, tables, tree diagrams and simulations.
  • a. Know a compound probability is the share of outcomes in the sample space that are favorable.
  • b. Show the sample space of a compound event with lists, tables or tree diagrams.
  • c. Design simulations to generate frequencies for compound events.