Problem Solving & Contest Training

for MathOlympiads, MathCounts, International math contests, AMC, SAT

PreAlgebra COURSE DESCRIPTION

This Pre-Algebra course covers all typical Pre-Algebra material, over 90 topics in all from arithmetic to equations to polynomials. Whether you are getting ahead of the curriculum, aiming for better grades, or preparing for the next level with deeper understanding of the concepts, this class will give you a solid foundations needed to succeed in school as the fundamental and important concepts will be taught in great details. Designed for all levels of learners from remedial to the advanced. ($60 material fee is due on the first day of class).

Homework: A page corresponds to each chapter lesson will be assigned.  

Tests: Chapter test after each chapter and exams at the end of course.

Content

Chapter 1 - The Tools

Lesson 1 - Using a Problem-Solving Plan
Lesson 2 - Numbers and Expressions
Lesson 3 - Variables and Expressions
Lesson 4 - Properties
Lesson 5 - Variables and Equations
Lesson 6 - Ordered Pairs and Relations
Lesson 7 - Scatter Plots

Chapter 2 - Integers

Lesson 1 - Integers and Absolute Value
Lesson 2 - Adding Integers
Lesson 3 - Subtracting Integers
Lesson 4 - Multiplying Integers
Lesson 5 - Dividing Integers
Lesson 6 - The Coordinate System

Chapter 3 - Equations

Lesson 1 - The Distributive Property
Lesson 2 - Simplifying Algebraic Expressions
Lesson 3 - Solving Equations by Adding or Subtracting
Lesson 4 - Solving Equations by Multiplying or Dividing
Lesson 5 - Solving Two-Step Equations
Lesson 6 - Writing Two-Step Equations
Lesson 7 - Using Formulas

Chapter 4 - Factors and Fractions

Lesson 1 - Factors and Monomials
Lesson 2 - Powers and Exponents
Lesson 3 - Prime Factorization
Lesson 4 - Greatest Common Factor (GCF)
Lesson 5 - Simplifying Algebraic Fractions
Lesson 6 - Multiplying and Dividing Monomials
Lesson 7 - Negative Exponents
Lesson 8 - Scientific Notation

Chapter 5 - Rational Numbers

Lesson 1 - Writing Fractions as Decimals
Lesson 2 - Rational Numbers
Lesson 3 - Multiplying Rational Numbers
Lesson 4 - Dividing Rational Numbers
Lesson 5 - Adding and Subtracting Like Fractions
Lesson 6 - Least Common Multiple
Lesson 7 - Adding and Subtracting Unlike Fractions
Lesson 8 - Measures of Central Tendency
Lesson 9 - Solving Equations with Rational Numbers
Lesson 10 - Arithmetic and Geometric Sequences

 

Chapter 6 - Ratio, Proportion, and Percent

Lesson 1 - Ratios and Rates
Lesson 2 - Using Proportions
Lesson 3 - Scale Drawings and Models
Lesson 4 - Fractions, Decimals, and Percents

Lesson 5 - Using the Percent Proportion
Lesson 6 - Finding Percents Mentally
Lesson 7 - Using Percent Equations
Lesson 8 - Percent of Change
Lesson 9 - Probability and Predictions

 

Chapter 7 - Equations and Inequalities

Lesson 1 - Solving Equations with Variables on Each Side
Lesson 2 - Solving Equations with Grouping Symbols
Lesson 3 - Inequalities
Lesson 4 - Solving Inequalities by Adding or Subtracting
Lesson 5 - Solving Inequalities by Multiplying or Dividing
Lesson 6 - Solving Multi-Step Inequalities

Chapter 8 - Functions and Graphing

Lesson 1 - Functions
Lesson 2 - Linear Equations in Two Variables
Lesson 3 - Graphing Linear Equations Using Intercepts
Lesson 4 - Slope
Lesson 5 - Rate of Change
Lesson 6 - Slope-Intercept Form
Lesson 7 - Writing Linear Equations
Lesson 8 - Best-Fit Lines
Lesson 9 - Solving Systems of Equations
Lesson 10 - Graphing Inequalities

Chapter 9 - Real Numbers and Right Triangles
Lesson 1 - Squares and Square Roots
Lesson 2 - The Real Number System
Lesson 3 - Angles
Lesson 4 - Triangles
Lesson 5 - The Pythagorean Theorem
Lesson 6 - The Distance and Midpoint Formulas
Lesson 7 - Similar Triangles and Indirect Measurement
Lesson 8 - Sine, Cosine, and Tangent Ratios

Chapter 10 - Two-Dimensional Figures
Lesson 1 - Line and Angle Relationships
Lesson 2 - Congruent Triangles
Lesson 3 - Transformations on the Coordinate Plane
Lesson 4 - Quadrilaterals
Lesson 5 - Area: Parallelograms, Triangles, and Trapezoids
Lesson 6 - Polygons
Lesson 7 - Circumference and Area: Circles
Lesson 8 - Area: Irregular Figures

Chapter 11 - Three-Dimensional Figures Lesson 1 - Three-Dimensional Figures
Lesson 2 - Volume: Prisms and Cylinders
Lesson 3 - Volume: Pyramids and Cones
Lesson 4 - Surface Area: Prisms and Cylinders
Lesson 5 - Surface Area: Pyramids and Cones
Lesson 6 - Similar Solids
Lesson 7 - Precision and Significant Digit
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