The focus of the Pre-Algebra course is to build the foundation for success in the study of algebra. You’ll study whole number operations, basic expressions, decimals, fractions, and geometric shapes and measurements.
- Perform basic operations on whole numbers.
- Generate patterns and write numerical expressions.
- Perform operations on rational numbers.
- Perform operations on fractions.
- Analyze, create, and classify shapes to solve real-world problems.
- Represent and interpret data and understand concepts of area and volume.
In Algebra 1, you’ll solve linear equations in one variable and apply graphical and algebraic methods to analyze and solve systems of linear equations in two variables. This course builds on these earlier experiences by asking you to analyze and explain the process of solving an equation.
- Calculate and simplify unit rates, build ratios and solve proportions using cross products
- Use rational numbers (fractions, decimals, and integers) to represent real-world contexts
- Solve one- and two-variable equations to generalize, communicate, and model situations
- Graph linear equations and inequalities to model real-world situations
- Apply the properties of exponents, and write and graph exponential equations
- Write, graph, and solve quadratic equations
- Solve linear and quadratic equations containing algebraic fractions
This course covers the required concepts of Euclidean geometry including definitions, postulates, and theorems. Areas of study include angles, congruent and similar triangles, rectilinear figures, polygons, circles and arc, and the Pythagorean Theorem.
- Write algebraic expressions and solve equations
- Identify geometric terms and figures based on descriptions or images
- Perform transformations on figures in the coordinate plane.
- Apply properties and formulas for angles and triangles, and explain congruent and similar figures.
- Calculate area and volume of geometric figures.
- Represent and analyze quantitative and qualitative data