Grade Level and High School Content Expectations
N.FL.07.03: Calculate rates of change including speed.
N.FL.07.05: Solve proportion problems using such methods as unit rate, scaling, finding equivalent fractions, and solving the proportion equation a/b = c/d; know how to see patterns about proportional situations in tables.
N.MR.07.06: Understand the concept of square root and cube root, and estimate using calculators.
N.FL.07.07: Solve problems involving operations with integers.
N.FL.07.08: Add, subtract, multiply, and divide positive and negative rational numbers fluently.
N.FL.07.09: Estimate results of computations with rational numbers.
A.PA.07.01: Recognize when information given in a table, graph, or formula suggests a directly proportional or linear relationship.
A.RP.07.02: Represent directly proportional and linear relationships using verbal descriptions, tables, graphs, and formulas, and translate among these representations.
A.PA.07.03: Given a directly proportional or other linear situation, graph and interpret the slope and intercept(s) in terms of the original situation; evaluate y = mx + b for specific x values, e.g., weight vs. volume of water, base cost plus cost per unit.
A.PA.07.04: For directly proportional or linear situations, solve applied problems using graphs and equations, e.g., the heights and volume of a container with uniform cross-section; height of water in a tank being filled at a constant rate; degrees Celsius and degrees Fahrenheit; distance and time under constant speed.
A.PA.07.05: Recognize and use directly proportional relationships of the form y = mx, and distinguish from linear relationships of the form y = mx + b, b non-zero; understand that in a directly proportional relationship between two quantities one quantity is a constant multiple of the other quantity.
A.PA.07.06: Calculate the slope from the graph of a linear function as the ratio of “rise/run” for a pair of points on the graph, and express the answer as a fraction and a decimal; understand that linear functions have slope that is a constant rate of change.
A.PA.07.07: Represent linear functions in the form y = x + b, y = mx, and y = mx + b, and graph, interpreting slope and y-intercept.
A.FO.07.08: Find and interpret the x and/or y intercepts of a linear equation or function. Know that the solution to a linear equation of the form ax+b=0 corresponds to the point at which the graph of y=ax+b crosses the x axis.
A.PA.07.09: Recognize inversely proportional relationships in contextual situations; know that quantities are inversely proportional if their product is constant, e.g., the length and width of a rectangle with fixed area, and that an inversely proportional relationship is of the form y = k/x where k is some non-zero number.
A.PA.07.11: Understand and use basic properties of real numbers: additive and multiplicative identities, additive and multiplicative inverses, commutativity, associativity, and the distributive property of multiplication over addition.
A.FO.07.12: Add, subtract, and multiply simple algebraic expressions of the first degree, e.g., (92x + 8y) – 5x + y, or x(x + 2) and justify using properties of real numbers.
G.TR.07.03: Understand that in similar polygons, corresponding angles are congruent and the ratios of corresponding sides are equal; understand the concepts of similar figures and scale factor.
G.TR.07.04: Solve problems about similar figures and scale drawings.
G.TR.07.05: Show that two triangles are similar using the criteria: corresponding angles are congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal (SSS similarity); use these criteria to solve problems and to justify arguments.
D.RE.07.01: Represent and interpret data using circle graphs, stem and leaf plots, histograms, and box-and-whisker plots, and select appropriate representation to address specific questions.
D.AN.07.02: Create and interpret scatter plots and find line of best fit; use an estimated line of best fit to answer questions about the data.
D.AN.07.04: Find and interpret the median, quartiles, and interquartile range of a given set of data.
Correlation last revised: 1/20/2017