7.1: Students understand and use scientific notation and square roots. They convert between fractions and decimals.

7.1.1: Read, write, compare, and solve problems using whole numbers in scientific notation.

Unit Conversions 2 - Scientific Notation and Significant Digits

7.1.2: Compare and order rational and common irrational numbers and place them on a number line.

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

7.1.6: Understand and apply the concept of square root.

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

7.2: Students solve problems involving integers, fractions, decimals, ratios, and percentages.

7.2.1: Solve addition, subtraction, multiplication, and division problems that use integers, fractions, decimals, and combinations of the four operations.

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)
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Solving Algebraic Equations II
Sums and Differences with Decimals

7.2.2: Calculate the percentage increase and decrease of a quantity.

Percent of Change

7.2.3: Solve problems that involve discounts, markups, and commissions.

Percent of Change

7.2.4: Use estimation to decide whether answers are reasonable in problems involving fractions and decimals.

Estimating Sums and Differences

7.2.5: Use mental arithmetic to compute with simple fractions, decimals, and powers.

Percents, Fractions, and Decimals
Sums and Differences with Decimals

7.3: Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities, and graphs.

7.3.1: Use variables and appropriate operations to write an expression, a formula, an equation, or an inequality that represents a verbal description.

Linear Functions
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

7.3.2: Write and solve two-step linear equations and inequalities in one variable and check the answers.

Compound Inequalities
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Linear Inequalities in One Variable

7.3.3: Use correct algebraic terminology, such as variable, equation, term, coefficient, inequality, expression, and constant.

Comparing and Ordering Decimals
Compound Interest
Linear Inequalities in Two Variables
Simplifying Algebraic Expressions I
Simplifying Algebraic Expressions II
Solving Algebraic Equations I
Using Algebraic Equations

7.3.4: Evaluate numerical expressions and simplify algebraic expressions by applying the correct order of operations and the properties of rational numbers (e.g., identity, inverse, commutative, associative, distributive). Justify each step in the process.

Equivalent Algebraic Expressions I
Equivalent Algebraic Expressions II
Order of Operations
Solving Algebraic Equations II
Solving Equations on the Number Line

7.3.5: Solve an equation or formula with two variables for a particular variable.

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

7.3.6: Define slope as vertical change per unit of horizontal change and recognize that a straight line has constant slope or rate of change.

Cat and Mouse (Modeling with Linear Systems)
Compound Interest
Direct and Inverse Variation
Distance-Time and Velocity-Time Graphs
Elevator Operator (Line Graphs)
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

7.3.7: Find the slope of a line from its graph.

Slope

7.3.8: Draw the graph of a line given the slope and one point on the line, or two points on the line.

Cat and Mouse (Modeling with Linear Systems)
Elevator Operator (Line Graphs)
Slope
Slope-Intercept Form of a Line

7.3.9: Identify functions as linear or nonlinear and examine their characteristics in tables, graphs, and equations.

Function Machines 3 (Functions and Problem Solving)
Linear Functions
Slope-Intercept Form of a Line

7.3.10: Identify and describe situations with constant or varying rates of change and know that a constant rate of change describes a linear function.

Compound Interest
Direct and Inverse Variation
Slope-Intercept Form of a Line

7.4: Students deepen their understanding of plane and solid geometric shapes by constructing shapes that meet given conditions and by identifying attributes of shapes.

7.4.1: Understand coordinate graphs and use them to plot simple shapes, find lengths and areas related to the shapes and find images under translations (slides), rotations (turns), and reflections (flips).

Rotations, Reflections, and Translations

7.4.2: Understand that transformations — such as slides, turns, and flips — preserve the length of segments, and that figures resulting from slides, turns, and flips are congruent to the original figures.

Dilations
Reflections
Rock Art (Transformations)
Rotations, Reflections, and Translations
Similar Figures

7.4.3: Know and understand the Pythagorean Theorem and use it to find the length of the missing side of a right triangle and the lengths of other line segments. Use direct measurement to test conjectures about triangles.

Pythagorean Theorem
Pythagorean Theorem with a Geoboard

7.4.4: Construct two-dimensional patterns (nets) for three-dimensional objects, such as right prisms, pyramids, cylinders, and cones.

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

7.5: Students compare units of measure and use similarity to solve problems. They compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less regular objects.

7.5.1: Compare lengths, areas, volumes, weights, capacities, times, and temperatures within measurement systems.

Area of Parallelograms

7.5.4: Use formulas for finding the perimeter and area of basic two-dimensional shapes and the surface area and volume of basic three-dimensional shapes, including rectangles, parallelograms, trapezoids, triangles, circles, right prisms, and cylinders.

Area of Parallelograms
Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)
Perimeter and Area of Rectangles
Prisms and Cylinders
Pyramids and Cones
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

7.5.5: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes.

Area of Triangles
Fido's Flower Bed (Perimeter and Area)

7.5.6: Use objects and geometry modeling tools to compute the surface area of the faces and the volume of a three-dimensional object built from rectangular solids.

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and Cones

7.6: Students collect, organize, and represent data sets and identify relationships among variables within a data set. They determine probabilities and use them to make predictions about events

7.6.1: Analyze, interpret, and display data in appropriate bar, line, and circle graphs and stem-and-leaf plots, and justify the choice of display.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Stem-and-Leaf Plots

7.6.3: Describe how additional data, particularly outliers, added to a data set may affect the mean, median, and mode.

Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

7.6.4: Analyze data displays, including ways that they can be misleading. Analyze ways in which the wording of questions can influence survey results.

Graphing Skills
Polling: Neighborhood

7.6.5: Know that if P is the probability of an event occurring, then 1 - P is the probability of that event not occurring.

Geometric Probability
Independent and Dependent Events
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

7.6.6: Understand that the probability of either one or the other of two disjoint events occurring is the sum of the two individual probabilities.

Geometric Probability
Independent and Dependent Events
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

7.6.7: Find the number of possible arrangements of several objects using a tree diagram.

Permutations and Combinations