Unit 1: The number system -- Types of numbers and the number line -- Positive and negative numbers -- Absolute value -- Factors and greatest common factor -- Multiples and least common multiple -- Fraction basics: types of fractions, and adding and subtracting fractions -- Multiplying and dividing fractions -- Adding and subtracting decimals -- Multiplying decimals -- Dividing decimals -- Adding positive and negative numbers -- Subtracting positing and negative numbers -- Multiplying and dividing positive and negative numbers -- Inequalities -- Unit 2: Ratios, proportions, and percents -- Ratios -- Unit rate and unit price -- Proportions -- Converting measurements -- Percent -- Percent word problems -- Taxes and fees -- Discounts and markups -- Gravity and commission -- Simple interest -- Percent rate of change -- Tables and ratios -- Unit 3: Expressions and equations -- Expressions -- Properties -- Like terms -- Exponents -- Order of operations -- Scientific notation -- Square and cube roots -- Comparing irrational numbers -- Equations -- Solving for variables -- Solving multistep equations -- Solving and graphing inequalities -- Word problems with equations and inequalities -- Unit 4: Geometry -- Introduction to geometry -- Angles -- Quadrilaterals and area -- Triangles and area -- The pythagorean theorem -- Circles, circumference, and area -- Three-dimensional figures -- Volume -- Surface area -- Angles, triangles, and transversal lines -- Similar figures and scale drawings -- Unit 5: Statistics and probability -- Introduction to statistics -- Measures of central tendency and variation -- Displaying data -- Probability -- Unit 6: The coordinate plane and functions -- The coordinate plane -- Relations, lines, and functions -- Slope -- Linear equations and functions -- Simultaneous linear equations and functions -- Nonlinear functions -- Polygons and the coordinate plane -- Transformations -- Proportional relationships and graphs -- Index
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