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| 1.0 |
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NUMBERS AND OPERATIONS
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A |
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Understand Derived Quantities
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N.MR.07.02 |
Solve problems involving derived quantities such as density, velocity, and weighted averages.*
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B |
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Understand and Solve Problems Involving Rates, Ratios, and Proportions
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N.FL.07.03 |
Calculate rates of change including speed.
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N.MR.07.04 |
Convert ratio quantities between different systems of units, such as feet per second to miles per hour.
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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.*
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C |
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Recognize Irrational Numbers
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N.MR.07.06 |
Understand the concept of square root and cube root, and estimate using calculators.
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D |
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Compute with Rational Numbers
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N.FL.07.07 |
Solve problems involving operations with integers.
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N.FL.07.08 |
Add, subtract, multiply, and divide positive and negative rational numbers fluently.*
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N.FL.07.09 |
Estimate results of computations with rational numbers.
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| 2.0 |
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ALGEBRA
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E |
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Understand and Apply Directly Proportional Relationships and Relate to Linear Relationships
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A.PA.07.01 |
Recognize when information given in a table, graph, or formula suggests a directly proportional or linear relationship.*
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A.RP.07.02 |
Represent directly proportional and linear relationships using verbal descriptions, tables, graphs, and formulas, and translate among these representations.
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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.
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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.
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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.*
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F |
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Understand and Represent Linear Functions
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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.
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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.
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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.*
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G |
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Understand and Solve Problems About Inversely Proportional Relationships
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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.
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A.RP.07.10 |
Know that the graph of y = k/x is not a line, know its shape, and know that it crosses neither the x nor the y-axis.
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H |
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Apply Basic Properties of Real Numbers in Algebraic Contexts
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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.
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I |
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Combine Algebraic Expressions and Solve Equations
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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.*
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A.FO.07.13 |
From applied situations, generate and solve linear equations of the form ax + b = c and ax + b = cx + d, and interpret solutions.
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| 3.0 |
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GEOMETRY
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J |
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Draw and Construct Geometric Objects
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G.SR.07.01 |
Use a ruler and other tools to draw squares, rectangles, triangles, and parallelograms with specified dimensions.
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G.SR.07.02 |
Use compass and straightedge to perform basic geometric constructions: the perpendicular bisector of a segment, an equilateral triangle, and the bisector of an angle; understand informal justifications.
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K |
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Understand the Concept of Similar Polygons, and solve related problems
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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.
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G.TR.07.04 |
Solve problems about similar figures and scale drawings.
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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.
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G.TR.07.06 |
Understand and use the fact that when two triangles are similar with scale factor of r, their areas are related by a factor of r2.
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| 4.0 |
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DATA AND PROBABILITY
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L |
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Represent and Interpret Data
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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.
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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.
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M |
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Compute Statistics About Data Sets
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D.AN.07.03 |
Calculate and interpret relative frequencies and cumulative frequencies for given data sets.
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D.AN.07.04 |
Find and interpret the median, quartiles, and interquartile range of a given set of data.
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