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.”