Topical Outline with Specific Course Objectives
- Study Strategies and Techniques
- Develop critical thinking skills and techniques to become problem-solvers and logical thinkers.
- Use number sense to determine if a proposed answer to a mathematics problem is appropriate in that context.
- Check that a proposed answer to a problem is correct.
- Take class notes in an efficient manner.
- Arithmetic
- Demonstrate an understanding of which numbers are in the natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
- Round numbers to the specified place.
- Demonstrate understanding of the relationship between fractions, decimals, and percentages.
- Convert fractions to decimals and percentages.
- Convert decimals to percentage and fractions.
- Convert percentages to decimals and fractions.
- Correctly perform the following operations with signed real numbers.
- Addition
- Subtraction
- Multiplication
- Division
- Use whole number exponents
- Any combination of the above operations
- Extra focus on arithmetic with fractions
- Demonstrate appropriate use of order of operations in the following areas.
- Solving linear equations
- Arithmetic with signed numbers
- Simplifying algebraic expressions
- Graph inequalities on a number line.
- Linear Patterns and Their Connection to a Graph
- Find a pattern in a given table and fill in blanks in a table as well as write a formula representing the relation in the table.
- Plot points given in a table on the cartesian plane. Draw a smooth curve through those points.
- Select reasonable input values for a formula and calculate their output values.
- Linear Functions and Equations
- Distinguish between algebraic expressions and equations.
- Simplify algebraic expressions by combining like terms.
- Determine if an equation is linear.
- Calculate the slope of a linear equation in two variables.
- Including horizontal and vertical lines
- Solve linear equations in one variable.
- Graph linear equations (diagonal, horizontal, and vertical) in two variables on the cartesian plane in the following ways.
- Plotting points
- Plotting the intercepts
- Plotting by using a point and the slope
- Find an equation of a line given a graph.
- Make connections between the parameters of a function and the behavior of the function.
- Recognize that a variety of problem situations can be modeled by the same type of function.
- Apply skills to word problems involving linear equations.
- Linear Inequalities in Two Variables
- Graph a linear inequality on the cartesian plane.
- Connect the solution set of a linear inequality with the graph of the linear inequality.
- Systems of Linear Equations and their Graphs
- Recognize the three cases for systems of two linear equations in two variables.
- Connect the solution set of a system of two linear equations in two variables with the graphs of the two equations.
- Solve a system of two linear equations in two variables using a graph.
Department Policies
- NO Calculators allowed
- Comprehensive Common Final