# COURSE DESCRIPTION

This course is designed to assist students as they make the transition between the concrete subject of arithmetic and more abstract subjects like algebra and geometry. This is accomplished by working with variables, variable expressions, equations, inequalities, and formulas. Subjects covered in earlier math courses such as fractions, ratios, percents, exponents, roots, and probability are studied in further depth for greater mastery. The students also explore basic algebraic concepts and skills. The course is taught so that a wide range of abilities is challenged through riddles, puzzles, and more complex mathematical problems supplementing the daily coursework. In addition to the specific arithmetic, algebraic and geometric skills and concepts mentioned above, this course aims to develop students’ ability to communicate technical information and mathematical knowledge, which places a heavy emphasis on the processes and reasoning to support answers as well as proper mathematical notation.

# CHAPTERS

**Ch.1 – Geometry**

Volume and Surface Area of Solids

Cross Sections of Solids

Supplementary and Complementary Angles

Circles: Area and Circumference

Parts of Geometric Figures

Classifying Triangles

Surface Area of Prisms and Cylinders

Circumference of a Circle

Pythagorean Theorem

Using Pythagorean Theorem

Interior Angles of Triangles

Parts of a Circle

Angle Sums in Polygons

Circumference and Area of Circle

Congruent Figures

Calculate Radius and Diameter from Area or Circumference

Identify the Parts of a Solid

Parts of a Circle

Angles and Parallel Lines 7

Using Scale Drawings

Interior Angles of Quadrilaterals

**Ch.2 – Ratios and Proportions**

Recognize and Represent Proportional Relationships

Unit Price Using Proportions

Solving for Percents

Calculating Percents

Ratios & Rates

Estimating Percentages

Proportional Linear Equations

**Ch.3 – Number System**

Irrational Numbers on a Number Line

Rational Numbers on a Number Line

Operations on Integers

Irrational Numbers on a Number Line

Multiple Representations of Numbers

Integers: Multiplication and Division

Addition and Subtraction

Absolute Value

Integers: Addition and Subtraction

Multiplying and Dividing with Exponents

**Ch.4 – Expressions and Equations**

Factor Expressions Using the GCF

Estimating Percentages

Writing Algebraic Expressions

Algebraic Patterns

Translating Verbal Expressions

Evaluate Expressions with Rational Numbers

Solving Two-Step Equations with Fractions and Decimals

Areas of Compound Figures

Graphs and Tables

Adding and Subtracting Monomials

Polynomials

**Ch.5 – Exponents: Scientific Notation**

Comparing Data by Graph Shape

Compare Summary Statistics

Probability of Dependent or Independent Events

Predicting Outcomes of Experiments

Biased Data

Inequalities

Experimental Probability

Comparing Outcomes to Predictions

Formulate Conclusions Based on Graphs

Finding All Possible Combinations

Range

Predicting Outcomes

Conditional Probability

Comparing Results

Interpreting Graphs

Predicting Results

Sample Space

Tree Diagrams

Experiment Results as Fractions and Ratios

Theoretical Probability