# Course on Elementary Algebra for High School (Semester)

### Patterns, equations and lines

Broad goals for for this semester year are…

- to provide students with the knowledge to understand basic concepts of algebraic equations and their properties.
- to provide students with the skills to represent problems in algebraic equations.
- to provide students with the knowledge to understand the relationship between a linear equation and its graph.
- to provide students with the skills to represent points and lines in a plane.
- to learn and use algebra in context of its practical applications, including in the area of personal finances.

By the end of the semester, the students will be able to …

- gather, present and analyze data
- correlate two sets of data
- use linear regression capabilities of a graphical calculator
- master algebra of first degree equations
- master coordinate geometry of straight lines

# A unit by unit semester plan

### Unit 1: Turning Facts into Ideas – single variable Algebra

1 Data

2 Finding the Mean

3 Displaying Data by Grouping

4 Another Center: Median

5 Boxplot

6 Deviation

7 Standard Deviation

8 Projects

### Unit 2: Hello, Algebra. Welcome.

1 Abbreviations All Around Us

2 Algebra is Abbreviations

3 Laws of Algebra

4 Solving Equations

5 A New Pattern

6 Growth and Scientific Notion

7 Working With Exponents

### Unit 3: Algebra of Straight Lines.

1 Coordinate Systems

2 Plotting Sets of Points

3 Straightness

4 Exploring Lines With a Graphing Calculator

5 Lines That Do Not Go Through (0,0)

6 Two Points Determine a Line

### Unit 4: Graphical Estimation.

1 Graphs Versus Tables

2 Least-Squares Lines: Lines Replacing Points

3 Least-Squares Lines on a Graphing Calculator

4 Forecasting