Academic Standards

7.1.1: Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions and decimals.

7.1.1.1: Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that pi is not rational, but that it can be approximated by rational numbers such as 22/7 and 3.14.

Circumference and Area of Circles

7.1.1.3: Locate positive and negative rational numbers on the number line, understand the concept of opposites, and plot pairs of positive and negative rational numbers on a coordinate grid.

Adding and Subtracting Integers

Adding on the Number Line

Integers, Opposites, and Absolute Values

Points in the Coordinate Plane

Rational Numbers, Opposites, and Absolute Values

7.1.1.5: Recognize and generate equivalent representations of positive and negative rational numbers, including equivalent fractions.

Percents, Fractions, and Decimals

Rational Numbers, Opposites, and Absolute Values

7.1.2: Calculate with positive and negative rational numbers, and rational numbers with whole number exponents, to solve real-world and mathematical problems.

7.1.2.1: Add, subtract, multiply and divide positive and negative rational numbers that are integers, fractions and terminating decimals; use efficient and generalizable procedures, including standard algorithms; raise positive rational numbers to whole-number exponents.

Adding and Subtracting Integers

Adding on the Number Line

7.1.2.2: Use real-world contexts and the inverse relationship between addition and subtraction to explain why the procedures of arithmetic with negative rational numbers make sense.

Adding on the Number Line

Integers, Opposites, and Absolute Values

7.1.2.4: Solve problems in various contexts involving calculations with positive and negative rational numbers and positive integer exponents, including computing simple and compound interest.

7.1.2.5: Use proportional reasoning to solve problems involving ratios in various contexts.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percents and Proportions

Proportions and Common Multipliers

Road Trip (Problem Solving)

7.2.1: Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationships.

7.2.1.2: Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine what happens to a line when the unit rate is changed.

7.2.2: Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships and explain results in the original context.

7.2.2.1: Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations.

7.2.2.2: Solve multi-step problems involving proportional relationships in numerous contexts.

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Part-to-part and Part-to-whole Ratios

Percents and Proportions

Proportions and Common Multipliers

7.2.2.4: Represent real-world or mathematical situations using equations and inequalities involving variables and positive and negative rational numbers.

Absolute Value Equations and Inequalities

Linear Functions

Linear Inequalities in Two Variables

Solving Equations on the Number Line

Solving Linear Inequalities in One Variable

Using Algebraic Equations

7.2.3: Apply understanding of order of operations and algebraic properties to generate equivalent numerical and algebraic expressions containing positive and negative rational numbers and grouping symbols; evaluate such expressions.

7.2.3.1: Generate equivalent numerical and algebraic expressions containing rational numbers and whole number exponents. Properties of algebra include associative, commutative and distributive laws.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Modeling the Factorization of *x*^{2}+*bx*+*c*

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

Solving Algebraic Equations II

7.2.3.3: Apply understanding of order of operations and grouping symbols when using calculators and other technologies.

7.3.1: Use reasoning with proportions and ratios to determine measurements, justify formulas and solve real-world and mathematical problems involving circles and related geometric figures.

7.3.1.1: Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is pi. Calculate the circumference and area of circles and sectors of circles to solve problems in various contexts.

Circumference and Area of Circles

7.3.1.2: Calculate the volume and surface area of cylinders and justify the formulas used.

Prisms and Cylinders

Pyramids and Cones

Surface and Lateral Areas of Prisms and Cylinders

7.3.2: Analyze the effect of change of scale, translations and reflections on the attributes of two-dimensional figures.

7.3.2.1: Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors.

Circles

Dilations

Similar Figures

Similarity in Right Triangles

7.3.2.2: Apply scale factors, length ratios and area ratios to determine side lengths and areas of similar geometric figures.

7.3.2.3: Use proportions and ratios to solve problems involving scale drawings and conversions of measurement units.

Beam to Moon (Ratios and Proportions)

Dilations

Direct and Inverse Variation

Part-to-part and Part-to-whole Ratios

Percents and Proportions

Proportions and Common Multipliers

Road Trip (Problem Solving)

Unit Conversions

7.3.2.4: Graph and describe translations and reflections of figures on a coordinate grid and determine the coordinates of the vertices of the figure after the transformation.

Rock Art (Transformations)

Rotations, Reflections, and Translations

7.4.1: Use mean, median and range to draw conclusions about data and make predictions.

7.4.1.1: Determine mean, median and range for quantitative data and from data represented in a display. Use these quantities to draw conclusions about the data, compare different data sets, and make predictions.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

Time Estimation

7.4.1.2: Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet to examine this impact.

Box-and-Whisker Plots

Describing Data Using Statistics

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Stem-and-Leaf Plots

7.4.2: Display and interpret data in a variety of ways, including circle graphs and histograms.

7.4.2.1: Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology.

Graphing Skills

Histograms

Real-Time Histogram

Sight vs. Sound Reactions

Correlation last revised: 1/23/2020