N.FL.07.03: Calculate rates of change including speed.

Compound Interest

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.

Beam to Moon (Ratios and Proportions)
Dilations
Direct and Inverse Variation
Household Energy Usage
Part-to-part and Part-to-whole Ratios

N.MR.07.06: Understand the concept of square root and cube root, and estimate using calculators.

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

N.FL.07.07: Solve problems involving operations with integers.

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials

N.FL.07.08: Add, subtract, multiply, and divide positive and negative rational numbers fluently.

Adding Fractions (Fraction Tiles)
Adding and Subtracting Integers
Adding on the Number Line
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Fractions Greater than One (Fraction Tiles)
Improper Fractions and Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

N.FL.07.09: Estimate results of computations with rational numbers.

Estimating Sums and Differences

A.PA.07.01: Recognize when information given in a table, graph, or formula suggests a directly proportional or linear relationship.

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Direct and Inverse Variation
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Slope-Intercept Form of a Line

A.RP.07.02: Represent directly proportional and linear relationships using verbal descriptions, tables, graphs, and formulas, and translate among these representations.

Function Machines 1 (Functions and Tables)

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.

Absolute Value with Linear Functions
Arithmetic Sequences
Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Direct and Inverse Variation
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope
Slope-Intercept Form of a Line
Standard Form of a Line

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.

Solving Two-Step Equations

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.

Direct and Inverse Variation

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.

Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Direct and Inverse Variation
Slope-Intercept Form of a Line

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.

Compound Interest
Direct and Inverse Variation
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Slope-Intercept Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line

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.

Standard Form of a Line

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.

Direct and Inverse Variation

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.

Adding and Subtracting Integers
Addition of Polynomials
Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
Simplifying Algebraic Expressions I
Square Roots

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.

Addition of Polynomials

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.

Dilations
Similar Figures

G.TR.07.04: Solve problems about similar figures and scale drawings.

Circles

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.

Similar Figures
Similarity in Right Triangles

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.

Box-and-Whisker Plots
Graphing Skills
Reaction Time 2 (Graphs and Statistics)

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.

Correlation
Graphing Skills
Solving Using Trend Lines
Trends in Scatter Plots

D.AN.07.04: Find and interpret the median, quartiles, and interquartile range of a given set of data.

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots