Unit Plan Theme/Topic: Linear Functions, grade 9, 12 days Goals/Standards: Tennessee Mathematics Curriculum Standards, Algebra 1 (Standards 1.7, 2.1, 2.2, 2.5, 2.6, 2.7, 2.11, 2.13, 2.15, 3.1, 4.1, 4.2, 4.3) The students will 1. Describe linear functions 2. Define slope. 3. Determine rate of change and direct variation 4. Determine slope using point-slope and slope-intercept forms Rationale: Linear functions are the most basic algebraic functions. Many real world problems can be modeled by linear functions. Graphing of a function helps show the relationship between two variables such as slope. Content/objectives: The Student will • Define and use the standard form of a linear equation (goal 1) • Determine whether a relation is a function (goal 1) • Describe the domain and range of a function (goal 1)
• Define and use the point-slope form for a linear equation (goal 2) • Calculate the slope of a line by using the rise and run. (Goal 2) • Calculate the slope of a line from the ratio of the differences in x and y-coordinates (goal 2) • Find the rate of change from a graph (goal 3) • Solve and graph direct-variation equations (goal 3) • Define and explain the components of the slope intercept form of a linear equation (goal4) • Use the slope-intercept form of a linear equation (goal 4) • Identify parallel lines and perpendicular lines by comparing their slope (goal 4) • Write equations of lines that are parallel and perpendicular to given lines (goal 4) Connections/Context: This unit makes connections to real world problems by solving them using functions. Coordinate Geometry is also used in unit. Standards-Based Design: Resources: Textbook Assessments: • Diversity:
There is no bias in this unit. Instructional activities will allow for different learning styles. Integration of Technology: Instructional tools/Materials: Written Presentation: Introductory Activity: