MN&O?7?1: Demonstrates conceptual understanding of rational numbers with respect to percents as a means of comparing the same or different parts of the whole when the wholes vary in magnitude (e.g., 8 girls in a classroom of 16 students compared to 8 girls in a classroom of 20 students, or 20% of 400 compared to 50% of 100); and percents as a way of expressing multiples of a number (e.g., 200% of 50) using models, explanations, or other representations.

Percent of Change
Percents and Proportions

MN&O?7?2: Demonstrates understanding of the relative magnitude of numbers by ordering, comparing, or identifying equivalent rational numbers across number formats, numbers with whole number bases and whole number exponents (e.g., 33, 43), integers, absolute values, or numbers represented in scientific notation using number lines or equality and inequality symbols.

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Integers, Opposites, and Absolute Values
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals
Rational Numbers, Opposites, and Absolute Values

MN&O?7?4: Accurately solves problems involving proportional reasoning; percents involving discounts, tax, or tips; and rates.

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios
Percent of Change
Proportions and Common Multipliers

MG&M?7?1: Uses properties of angle relationships resulting from two or three intersecting lines (adjacent angles, vertical angles, straight angles, or angle relationships formed by two non-parallel lines cut by a transversal), or two parallel lines cut by a transversal to solve problems.

Triangle Angle Sum

MG&M?7?2: Applies theorems or relationships (triangle inequality or sum of the measures of interior angles of regular polygons) to solve problems.

Isosceles and Equilateral Triangles
Polygon Angle Sum
Triangle Angle Sum
Triangle Inequalities

MG&M?7?5: Applies concepts of similarity by solving problems involving scaling up or down and their impact on angle measures, linear dimensions and areas of polygons, and circles when the linear dimensions are multiplied by a constant factor. Describes effects using models or sc explanations.

Circles
Similarity in Right Triangles

MG&M?7?6: Demonstrates conceptual understanding of the area of circles or the area or perimeter of composite figures (quadrilaterals, triangles, or parts of circles), and the surface area of rectangular prisms, or volume of rectangular prisms, triangular prisms, or cylinders using models, formulas, or by solving related problems. Expresses all measures using appropriate units.

Surface and Lateral Areas of Prisms and Cylinders

MF&A?7?1: Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables, sequences, graphs, or in problem situations; and generalizes a linear relationship using words and symbols; generalizes a linear relationship to find a specific case; or writes an expression or sc equation using words or sc symbols to express the generalization of a nonlinear relationship.

Function Machines 1 (Functions and Tables)

MF&A?7?2: Demonstrates conceptual understanding of linear relationships (y = kx; y = mx + b) as a constant rate of change by solving problems involving the relationship between slope and rate of change, by describing the meaning of slope in concrete situations, or informally determining the slope of a line from a table or graph; and distinguishes between constant and varying rates of change in concrete situations represented in tables or graphs; or describes how change in the value of one variable relates to change in the value of a second variable in problem situations with constant rates of change.

Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Direct and Inverse Variation
Function Machines 1 (Functions and Tables)
Points, Lines, and Equations
Slope-Intercept Form of a Line

MF&A?7?3: Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write algebraic expressions (including those with whole number exponents or more than one variable); or by evaluating algebraic expressions (including those with whole number exponents or more than one variable); or by evaluating an expression within an equation (e.g., determine the value of y when x = 4 given y = 5x³ ? 2).

Compound Interest
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

MF&A?7?4: Demonstrates conceptual understanding of equality by showing equivalence between two expressions (expressions consistent with the parameters of the left- and right-hand sides of the equations being solved at this grade level) using models or different representations of the expressions, solving multi-step linear equations of the form ax ± b = c with a "not equal to" 0, ax ± b = cx ± d with a, c "not equal to" 0, and (x/a) ± b = c with a "not equal to" 0, where a, b, c and d are whole numbers; or by translating a problem-solving situation into an equation consistent with the parameters of the type of equations being solved for this grade level.

Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Two-Step Equations
Using Algebraic Equations

MDSP?7?1: Interprets a given representation (circle graphs, scatter plots that represent discrete linear relationships, or histograms) to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

Box-and-Whisker Plots
Correlation
Estimating Population Size
Graphing Skills
Histograms
Polling: City
Real-Time Histogram
Trends in Scatter Plots

MDSP?7?2: Analyzes patterns, trends, or distributions in data in a variety of contexts by solving problems using measures of central tendency (mean, median, or mode), dispersion (range or variation), or outliers to analyze situations to determine their effect on mean, median, or mode; and evaluates the sample from which the statistics were developed (bias).

Describing Data Using Statistics
Movie Reviewer (Mean and Median)
Polling: City
Populations and Samples
Reaction Time 2 (Graphs and Statistics)

MDSP?7?3: Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M(DSP)?7?1.

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

MDSP?7?5: For a probability event in which the sample space may or may not contain equally likely outcomes, determines the experimental or theoretical probability of an event in a problem-solving situation.

Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability