## Table of Contents

- 1. Using Algebra
bar graphs, histograms, frequency tables, order of operations, variable expressions, single-variable equations, perimeter, area, formula, distance, rate, time, problem-solving plan, problem-solving strategies

- 2. Using Rational Numbers
adding, subtracting, multiplying and dividing decimals, fractions and integers, estimation with decimals and fractions, integer operations and problem solving, problem solving with decimals, fractions and integers, identifying and comparing rational numbers, and using number properties with decimals, fractions and integers

- 3. Single Variable Equations and Inequalities
solving one-step, two-step and multi-step equations, combining like terms, the distributive property, solving and graphing inequalities, writing equations and inequalities to represent real-world situations, solving one-step, two-step and multi-step inequalities, problem solving

- 4. Applying Proportions
ratios, unit rates, equivalent rates, solving proportions, unit scale, scale factor, scale drawings, maps and floor plans, customary and metric units of measurement and problem solving

- 5. Applying Percents
recognizing and writing percents, percents as decimals and fractions, finding the percent of a number, proportions and percents in problem solving, using the percent equation, percent of increase, percent of decrease, percent of change, discounts, retail prices, tipping, sales tax, statistics, percent problems and scientific notation, simple interest and compound interest

- 6. Geometry and Transformations
identifying angle pairs, adjacent and vertical angles, measures of angle pairs, classifying and measuring triangles, classifying and measuring quadrilaterals, identifying polygons, methods for proving triangle congruence, all types of transformations, similarity and dilations

- 7. Using Real Numbers and Right Triangles
evaluating radical expressions, evaluating fractional powers, solving equations with radicals, classifying and comparing real numbers, irrational numbers, the Pythagorean Theorem, the Converse of the Pythagorean Theorem, indirect measurement, perimeter, area, the distance formula, special right triangles and trigonometric ratios

- 8. Measurement, Area and Volume
find area of triangles and quadrilaterals, find circumference and area of circles, identify solid figures, find the surface area of different solid figures, calculate the volume of different solid figures

- 9. Linear Functions and Graphs
recognizing, evaluating and graphing functions, slope, slope-intercept form, standard form, linear equations, graphing linear equations, direct and inverse variation, function notation, linear systems of equations, solving linear systems, graphing linear systems, solving linear inequalities and graphing linear inequalities

- 10. Analyzing Data
Identify and recognize mean, median, mode and range, standard deviations and measures of central tendency.Create and interpret different data displays including stem-and-leaf plots, frequency tables, histograms, box-and-whisker plots and scatterplots. Use data displays to understand bias, misleading statistics, surveys and samples.

- 11. Using Probability
calculate outcomes through tree diagrams and the Counting Principle, identify and evaluate permutations and combinations, distinguish between theoretical and experimental probability and calculate these outcomes, write probabilities as fractions, decimals and percents, calculate odds, identify overlapping, disjoint and complementary events, recognize independent and dependent events, understand conditional and geometric probability, use simulations to explore experimental probability

- 12. Polynomials
identify monomials, binomials, trinomials and polynomials, simplifying polynomials, evaluating polynomial expressions, adding and subtracting polynomial expressions, multiplying monomials, other operations with monomials, binomials and trinomials, applying properties to monomial operations, understanding parabolas and quadratic equations, evaluating quadratic equations, writing quadratic equations from graphs, quadratic functions, exponential functions, recognizing and graphing exponential growth and decay functions, understanding arithmetic and geometric sequences