7.1: The student will compare, order, and determine equivalent relationships between fractions, decimals, and percents, including use of scientific notation for numbers greater than 10.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1

7.2: The student will simplify expressions that contain rational numbers (whole numbers, fractions, and decimals) and positive exponents, using order of operations, mental mathematics, and appropriate tools.

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Order of Operations
Sums and Differences with Decimals

7.4: The student will

7.4.a: solve practical problems using rational numbers (whole numbers, fractions, decimals) and percents;

Simple and Compound Interest

7.4.b: solve consumer-application problems involving tips, discounts, sales tax, and simple interest.

Percent of Change
Simple and Compound Interest

7.5: The student will formulate rules for and solve practical problems involving basic operations (addition, subtraction, multiplication, and division) with integers.

Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips

7.6: The student will use proportions to solve practical problems, which may include scale drawings, that contain rational numbers (whole numbers, fractions, and decimals), and percents.

Similar Figures - Activity A
Simple and Compound Interest

7.7: The student, given appropriate dimensions, will

7.7.a: estimate and find the area of polygons by subdividing them into rectangles and right triangles;

Area of Parallelograms - Activity A
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

7.7.b: apply perimeter and area formulas in practical situations.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

7.8: The student will investigate and solve problems involving the volume and surface area of rectangular prisms and cylinders, using concrete materials and practical situations to develop formulas.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

7.9: The student will compare and contrast the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid. Deductive reasoning and inference will be used to classify quadrilaterals.

Area of Parallelograms - Activity A
Biconditional Statement
Classifying Quadrilaterals - Activity A
Conditional Statement
Special Quadrilaterals

7.11: The student will determine if geometric figures – quadrilaterals and triangles – are similar and write proportions to express the relationships between corresponding parts of similar figures.

Similar Figures - Activity A

7.12: The student will identify and graph ordered pairs in the four quadrants of a coordinate plane.

Introduction to Functions
Points in the Coordinate Plane - Activity A

7.13: The student, given a polygon in the coordinate plane, will represent transformations – rotation and translation – by graphing the coordinates of the vertices of the transformed polygon and sketching the resulting figure.

Rotations, Reflections and Translations

7.14: The student will investigate and describe the difference between the probability of an event found through simulation versus the theoretical probability of that same event.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Polling: City
Probability Simulations
Theoretical and Experimental Probability

7.15: The student will identify and describe the number of possible arrangements of several objects, using a tree diagram or the Fundamental (Basic) Counting Principle.

Permutations and Combinations

7.16: The student will create and solve problems involving the measures of central tendency (mean, median, mode) and the range of a set of data.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode

7.17: The student, given a problem situation, will collect, analyze, display, and interpret data, using a variety of graphical methods, including

7.17.a: frequency distributions;

Describing Data Using Statistics
Line Plots
Populations and Samples

7.17.b: line plots;

Describing Data Using Statistics
Line Plots

7.17.c: histograms;

Histograms
Populations and Samples

7.17.d: stem-and-leaf plots;

Stem-and-Leaf Plots

7.17.e: box-and-whisker plots;

Box-and-Whisker Plots

7.17.f: scattergrams.

Correlation
Scatter Plots - Activity A
Solving Using Trend Lines

7.19: The student will represent, analyze, and generalize a variety of patterns, including arithmetic sequences and geometric sequences, with tables, graphs, rules, and words in order to investigate and describe functional relationships.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Using Tables, Rules and Graphs

7.20: The student will write verbal expressions as algebraic expressions and sentences as equations.

Using Algebraic Equations
Using Algebraic Expressions

7.21: The student will use the following algebraic terms appropriately: equation, inequality, and expression.

Using Algebraic Equations

7.22: The student will

7.22.a: solve one-step linear equations and inequalities in one variable with strategies involving inverse operations and integers, using concrete materials, pictorial representations, and paper and pencil;

Modeling One-Step Equations - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

7.22.b: solve practical problems requiring the solution of a one-step linear equation.

Modeling One-Step Equations - Activity A