Pre Algebra Syllabus
This course is offered exclusively as a one-on-one class and is not available in a small-group format.
Syllabus
1 The Tools of Algebra
1.1 Using a Problem Solving Plan
1.2 Numbers and Expressions
1.3 Variables and Expressions
1.4 Properties
1.5 Variables and Equations
1.6 Ordered Pairs and Relations
1.7 Scatter Plots
2 Integers
2.1 Integers and Absolute Value
2.2 Adding Integers
2.3 Subtracting Integers
2.4 Multiplying Integers
2.5 Dividing Integers
2.6 The Coordinate System
3 Equations
3.1 The Distributive Property
3.2 Simplifying Algebraic Expressions
3.3 Solving Equations by Adding or Subtracting
3.4 Solving Equations by Multiplying or Dividing
3.5 Solving Two Step Equations
3.6 Writing Two Step Equations
3.7 Sequences and Equations
3.8 Using Formulas
4 Factors and Fractions
4.1 Powers and Exponents
4.2 Prime Factorization
4.3 Greatest Common Factor
4.4 Simplifying Algebraic Fractions
4.5 Multiplying and Dividing Monomials
4.6 Negative Exponents
4.7 Scientific Notation
5 Rational Numbers
5.1 Writing Fractions as Decimals
5.2 Rational Numbers
5.3 Multiplying Rational Numbers
5.4 Dividing Rational Numbers
5.5 Adding and Subtracting Like Fractions
5.6 Least Common Multiple
5.7 Adding and Subtracting Unlike Fractions
5.8 Solving Equations with Rational Numbers
5.9 Measures of Central Tendency
6 Ratio Proportion and Percent
6.1 Ratios and Rates
6.2 Proportional and Nonproportional Relationships
6.3 Using Proportions
6.4 Scale Drawings and Models
6.5 Fractions, Decimals, and Percents
6.6 Using the Percent Proportion
6.7 Finding Percents Mentally
6.8 Using Percent Equations
6.9 Percent of Change
6.1 Using Sampling to Predict
7 Functions and Graphing
7.1 Functions
7.2 Representing Linear Functions
7.3 Rate of Change
7.4 Constant Rate of Change and Direct Variation
7.5 Slope
7.6 Slope Intercept Form
7.7 Writing Linear Equations
7.8 Prediction Equations
8 Equations and Inequalities
8.1 Solving Equations with Variables on Each Side
8.2 Solving Equations with Grouping Symbols
8.3 Inequalities
8.4 Solving Inequalities by Adding or Subtracting
8.5 Solving Inequalities by Multiplying or Dividing
8.6 Solving Multi.Step Inequalities
9 Real Numbers and Right Triangles
9.1 Squares and Square Roots
9.2 The Real Number System
9.3 Triangles
9.4 The Pythagorean Theorem
9.5 The Distance Formula
9.6 Similar Figures and Indirect Measurement
10 Two Dimensional Figures
10.1 Line and Angle Relationships
10.2 Congruent Triangles
10.3 Transformations on the Coordinate Plane
10.4 Quadrilaterals
10.5 Polygons
10.6 Area: Parallelograms, Triangles, and Trapezoids
10.7 Circles: Circumference and Area
10.8 Area: Composite Figures
11 Three Dimensional Figures
11.1 Three Dimensional Figures
11.2 Volume: Prisms and Cylinders
11.3 Volume: Pyramids, Cones, and Spheres
11.4 Surface Area: Prisms and Cylinders
11.5 Surface Area: Pyramids and Cones
11.6 Similar Solids
12 More Statistics and Probability
12.1 Stem and Leaf Plots
12.2 Measures of Variation
12.3 Box and Whisker Plots
12.4 Histograms
12.5 Selecting an Appropriate Display
12.6 Misleading Graphs
12.7 Simple Probability
12.8 Counting Outcomes
12.9 Permutations and Combinations
12.1 Probability of Composite Events
13 Polynomials and Nonlinear Functions
13.1 Polynomials
13.2 Adding Polynomials
13.3 Subtracting Polynomials
13.4 Multiplying a Polynomial by a Monomial
13.5 Linear and Nonlinear Functions
13.6 Graphing Quadratic and Cubic Equations