COURSE DESCRIPTION: BASIC MATH AND ALGEBRA
(Gateway Academic Program – Summer Camp 2012)
1. Finding Gaps and Honing Basic Skills
1.1. Pre-program Orientation for the Compressed Program
1.2. Organization of Instruction and Testing
1.3. Points To Remember And Review
2. Mental Math
2.1. Multiplication Tables
2.2. Currency and its Relationship to Decimals, Fractions, and Percents
2.3. Facts about 1 and 0
2.4. Estimating
2.5. Mental Chapter Review
2.6. Addition and subtraction with multiple terms
2.7. Multiplication Tables
2.8. Sample Exit Questions
2.9. Sample Priming Homework 2.10. Points To Remember And Review
3. Integers and Arithmetic Operations
3.1. Definition of Integers
3.2. Addition of Whole Numbers
3.3. Subtraction of Whole Numbers
3.4. Multiplication of Whole Numbers
3.5. Division of Whole Numbers
3.6. Squares of Whole Numbers
3.7. Easy Square Roots of Whole Numbers
3.8. Review of Facts About 1 and 0
3.9. Teacher-Directed Mental Chapter Review
3.10. Multiplication Tables
3.11. Sample Exit Questions
3.12. Sample Priming Homework
3.13. Points To Remember And Review
4. Data, Statistics, and Graphs
4.1. Collecting Class Data in a Set
4.2. Conditions for Using the Mean, the Median, and the Mode
4.3. Collecting Class Data in a Table for Bar and Pie Graphs
4.4. Mental Chapter Review
4.5. Challenging Question
4.6. Sample Exit Questions
4.7. Sample Priming Homework
4.8. Points To Remember And Review
5. A Love-Hate Relationship – Facts about Triangles, Intersecting Lines, and Units of Measurements
5.1. Triangles
5.2. Angles Definitions
5.3. Intersecting Lines
5.4. Units of Measurement and Their Conversion
5.5. Mental Chapter Review
5.6. Challenging Homework
5.7. Multiplication Tables
5.8. Sample Exit Questions
5.9. Sample Priming Homework
5.10. Points To Remember And Review
6. The Two Great Devils--The Negative Sign and the Negative Numbers
6.1. Addition with Positive and Negative Numbers
6.2. Multiplication Involving Negative Numbers
6.3. Mental Chapter Review
6.4. Challenging Problems
6.5. Multiplication Tables
6.6. Sample Exit Questions
6.7. Sample Priming Homework
6.8. Points To Remember And Review
7. Change for Currency Notes--Simple Fractions
7.1. Teacher Guided Mental Review
7.2. Sample Exit Questions
7.3. Sample Priming Homework
7.4. Points To Remember And Review
8. Exponents--Powers of 10
8.1. Mental Review of Previous Knowledge
8.2. Powers of 10
8.3. Chapter Review
8.4. Sample Exit Questions
8.5. Sample Priming Homework
8.6. Points To Remember And Review
9. Powers of Variables and Constants
9.1. Review of Previous Knowledge
9.2. Mathematical Operations Involving Exponents
9.3. Chapter Review
9.4. Sample Exit Questions
9.5. Sample Priming Homework
9.6. Points To Remember And Review
10. The World of Expressions and Elementary Equations
10.1. Expressions
10.2. Simple Equations
10.3. Sample Exit Questions
10.4. Sample Priming Homework
10.5. Points To Remember And Review
11. The Algebra Savior--Cross Products
11.1. Review of Previous Knowledge
11.2. Working with Cross Products
11.3. Challenging Problems
11.4. Mental Problems
11.5. Sample Exit Questions
11.6. Sample Priming Homework
11.7. Points To Remember And Review
12. Ratio and Proportion
12.1. Review of Previous Knowledge
12.2. Procedures for Setting and Solving Problems
12.3. Review Problems
12.4. Challenging Problems
12.5. Sample Exit Questions
12.6. Sample Priming Homework
12.7. Points To Remember And Review
13. Just Shopping for the Best Deal
13.1. Finding a Discount
13.2. Sales Tax 13.3. Commission
13.4. Percents
13.5. Simple Interest
13.6. Challenge Problems
13.7. Chapter Review
13.8. Sample Exit Questions
13.9. Sample Priming Homework
13.10. Points To Remember And Review
14. How Big?--Perimeter, Area, and Volume
14.1. Review of Previous Knowledge
14.2. Formulas for Perimeter, Area, and Volume of Familiar Shapes
14.3. Challenging Problems with Solutions
14.4. Challenging Problems
14.5. Sample Exit Questions
14.6. Sample Priming Homework
14.7. Points To Remember And Review
15. Slopes and Intercepts on the Algebra Trail
15.1. The Coordinate System
15.2. Slope and Intercept of a Line
15.3. Finding Equation of a Straight Line
15.4. Parallel and Perpendicular Lines
15.5. Mental Chapter Review
15.6. Sample Exit Questions
15.7. Sample Priming Homework
15.8. Points To Remember And Review
16. Transformations
16.1. Review of coordinates of a point
16.2. The Positive and Negative Values
16.3. Translation
16.4. Rotation
16.5. Reflection
17. Mixed Numerals
17.1. Improper Fractions as Mixed Numerals
17.2. Basic Math Operations with Mixed Numerals
17.3. Mental Chapter Review
17.4. Sample Exit Questions
17.5. Sample Priming Homework
17.6. Points To Remember And Review
18. Polynomials and Their Basic Operations
18.1. Degree of a Term and Polynomial
18.2. Addition and Subtraction of Polynomials
18.3. Multiplying Polynomials
18.4. Multiplying Sums and Differences of Two Terms
18.5. Division of Polynomials
18.6. Squaring Binomials
18.7. Sample Exit Questions
18.8. Sample Priming Homework
18.9. Points To Remember And Review
19. Factoring
19.1. Greatest Common Factor (GCF)
19.2. Review of Least Common Multiple (LCM)
19.3. Factoring when Terms Have a Common Factor
19.4. Factoring by Grouping: Four terms
19.5. Factoring Quadratic Trinomials
19.6. Factoring Trinomial Squares
19.7. Factoring Differences of Squares
19.8. Solving Quadratic Equations by Factoring
19.9. Sample Exit Questions
19.10. Sample Priming Homework
19.11. Points To Remember And Review
20. Rational, Complex Rational and Radical Expressions--Becoming an Algebra Guru
20.1. Review of the Property of 1 and the LCM
20.2. Rational Expressions and Equations
20.3. Complex Fractions
20.4. Radical Expressions and Equations
20.5. Sample Exit Questions
20.6. Sample Priming Homework
20.7. Points To Remember And Review
21. Trigonometric Functions and Their Applications
21.1. Review of the Squares and Square Roots
21.2. Right Triangle and Pythagoras Theorem
21.3. Definitions of three Basic Trigonometric Functions
21.4. Definitions of Inverse Trigonometric Functions
21.5. Applications of Trigonometric Functions
21.6. Sample Exit Questions
21.7. Sample Priming Homework
21.8. Points To Remember And Review
The use of a calculator is prohibited while the use of the Internet is allowed
“I didn’t expect to learn that much of College Algebra. I learned a lot. This helped me have confidence in myself. The program is superb. It made me feel very confident. I would highly recommend it.”
The use of the Internet and computers is required
“I was always struggling with Math. This program was just right and perfect for me. I learned so much that High School didn’t teach me in 4 years. It makes me very happy and proud of myself.”
“There is nothing I would change. Everything was the best. The classroom environment was great. The professors, the agenda! I never liked doing Math. Here I loved doing Math.”