## Table of Contents

In CK-12 Middle School Math Concepts – Grade 7, the learning content is divided into concepts. Each concept is complete and provides focused learning on an indicated objective. Theme-based concepts provide students with experiences that integrate the content of each concept. Students are given opportunities to practice the skills of each concept through real-world situations, examples, guided practice and explore more practice. There are also video links provided to give students an audiovisual way of connecting with the content.

- 1. Algebraic Thinking
describing and extending patterns, evaluating expressions, understanding variables, powers and exponents, equations, measurement, perimeter, area and problem solving

- 2. Using Decimals
comparing and ordering decimals, decimal operations, rounding decimals, commutative and associative properties of addition and multiplication, the inverse property, scientific notation, metric system of measurement, converting and comparing metric units of measurement, and equivalence between customary and metric units of measurement

- 3. Using Fractions
comparing and ordering fractions, operations with fractions, mixed numbers, operations with mixed number, relationships between fractions and decimals, measuring with customary units of measurement and converting customary units of measurement

- 4. Using Integers
comparing and ordering integers, operations with integers, rational numbers, the distributive property, the coordinate plane, integers and real-world situations, absolute value and scatter plots

- 5. Using Ratios, Rates and Proportions
ratios, rates, unit rates, slope, identifying proportions, writing proportions, solving proportions, unit scale, scale factor, problem solving with unit analysis and problem solving with proportions

- 6. Using Percents
recognizing percents, percents and fractions, percents and proportions, the percent equation, percents as decimals, percent of increase, percent of decrease, percent of change, tips, taxes, interest, circle graphs

- 7. Equations, Inequalities and Functions
writing expressions and equations, simplifying expressions, solving one-step equations, solving two-step equations, solving inequalities, identifying and understanding functions and graphing functions

- 8. Geometry
classifying angles, identifying angles, angle measures, complementary angles, supplementary angles, vertical angles, adjacent angles, parallel lines, perpendicular lines, intersecting lines, corresponding angles, triangles, congruent figures, similar figures, indirect measurement, symmetry and transformations

- 9. Distance and Area
square roots, the Pythagorean Theorem, area of parallelograms, trapezoids, triangles and circles, circumference of circles, irrational numbers and rational numbers

- 10. Surface Area and Volume
classifying solid figures, representing solid figures, surface area and volume with prisms, cylinders, pyramids and cones

- 11. Data and Statistics
mean, median, mode, range, bar graphs, line graphs, stem-and-leaf plots, box-and-whisker plots, histograms, misleading statistics, data displays and problem solving with surveys

- 12. Probability
writing and calculating theoretical probability, experimental probability, disjoint events, complementary events, overlapping events, tree diagrams, sample spaces, the Counting Principle, factorials, permutations, combinations, independent and dependent events