1. Pre-Algebra

Course Description:

This course builds a strong foundation utilizing the principles of algebra with the integration of geometry, trigonometry, probability, and statistics. Students apply their computational skills to algebraic thinking and conceptual problem solving. Key content develops a deep understanding of underlying concepts that support algebraic thinking: rational versus irrational numbers, negative fractions and decimals, absolute value, variable, ratio, direct proportion, scale, slope, rate, dimensional analysis, probability, similarity, congruence, and the Pythagorean Theorem.

The textbook is:

Pre-Algebra by Glencoe/Mcgraw-Hill

The teacher is:

Dominique Bartoughian

Detailed Course Topic List:

• 1. Tools of Algebra

     1. Words, Variables, and Expressions

     2. Graphs, Tables, Plots

  2. Operations with Integers

• • 1. Absolute values

    2. Add & Subtract

    3. Multiply & Divide

    4. Graphing and Coordinates

• 3. Operations with Rational Numbers

• • 1. Fractions and Decimals

    2. Rational Numbers (Multiplying & Dividing)

    3. Add and Subtract Fractions

• 4. Expressions and Equations

• • 1. Distributive Property

    2. Simplifying Expressions

    3. Solving Equations using + - * /

• 5. Multi-Step Equations and Inequalities

• • 1. Perimeter and Area

    2. Equations with Variables on both sides

    3. Inequalities

• 6. Ratios and Proportions

• • 1. Ratios, Rates, and Measures

    2. Proportions

    3. Scale Drawings and Similar Figures

• 7. Percentages

• • 1. Fractions, Decimals, and Percents

    2. Percent Proportions

    3. Percent Equations and Percent Change

• 8. Linear Functions and Graphing

• • 1. Functions, Sequences, and Equations

    2. Rate of Change, Direct Variation, and Slope

    3. Slope Intercept Form

• 9. Powers and Exponents

• • 1. Powers and Exponents

    2. Prime Factoring

    3. Exponent Rules

    4. Scientific Notation

• 10. Real Numbers and Right Triangles

• • 1. Squares and Roots

    2. Triangles

    3. Pythagorean Theorem

• 11. Distance and Angle

• • 1. Angles, Lines, Triangles

    2. Quadrilaterals and Polygons

    3. Circles

• 12. Statistics and Probability

• • 1. Central Tendencies

    2. Stem and Leaf, Box and Whisker, Histograms

    3. Variation, Sampling, and Probability

• 13. Surface Area and Volume

• • 1. Prisms, Cylinders

    2. Pyramids, Cones

    3. Spheres