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Understanding Forms of Linear Equations - Grades 9-12
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This toolkit will address linear functions in three forms: slope-intercept form, point-slope form, and standard form. Students will explore how all three forms provide information about the linear relationship and ultimately be able to identify the form that best fits the given information allowing them to most easily write a linear function for a data set. Students also have an opportunity to explore the use of different forms of data: verbal, tabular, graphical, and algebraic.
Goals and Standards
Colorado Academic Standards:
- HS.F-LE.A. Linear, Quadratic & Exponential Models: Construct and compare linear, quadratic, and exponential models and solve problems.
- HS.F-BF.A. Building Functions: Build a function that models a relationship between two quantities.
- HS.F-IF.C. Interpreting Functions: Analyze functions using different representations.
Mathematical Practice Standards:
- MP2. Reason abstractly and quantitatively.
- MP4. Model with mathematics.
- MP5. Use appropriate tools strategically.
- MP7. Look for and make use of structure.
Learning Goal:
- Students will be able to work with all three forms of linear functions and develop understanding of the information readily available from each form.
Materials List
- Pre Assessment
- Slope-Intercept Form Document
- Point-Slope Form Document
- Standard Form Document
- I SPY Document (intended to be used as card sets)
- Post Assessment
- Technology (computer or tablet)
- Rulers
- Four function Calculators
- Graphing capability (Desmos is one easily accessible option)