1 / 15

Function Transformations Unit

Function Transformations Unit. For An Algebra 2 Course A Project Funded by the National Science Foundation, and written by Kirk Taylor. Why?. NCTM Standards and California Content Standards call for all students to have skill in function transformations.

henkle
Download Presentation

Function Transformations Unit

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Function Transformations Unit For An Algebra 2 Course A Project Funded by the National Science Foundation, and written by Kirk Taylor

  2. Why? • NCTM Standards and California Content Standards call for all students to have skill in function transformations. • Most Algebra 2 curriculums teach it, but not as a cohesive and comprehensive set of principles. • It gives students the power and knowledge to transform many types of functions.

  3. Transform = Change Graphs are pictures of relationships Mathematics is a symbolic language of relationships

  4. Goals • Teach the rules of FT as a single comprehensive set of principles • Not add time to the Algebra 2 calendar. • Use simple, low-technology and graphing calculators to give students confidence with functions

  5. Learning Objectives • Students will learn to recognize by shape a group of six function families: Quadratic, Cubic, Absolute Value, Square Root, Exponential and Linear, and to learn the name of a ‘locator point’ for each family. • Students will learn the rules for function transformation, and be able to apply them to all six function families. They will be able to make accurate sketches of functions. • Students will be able to correctly identify to what degree functions have been translated, reflected, and/or stretched/compressed. • Students will increase their fluency with function notation.

  6. Other Learning Objectives for the FTU • More math vocabulary: asymptote, increasing/decreasing function, odd/even function, inflection point, point symmetry, and more. • Better curve-sketching techniques • Establish foundations for further study

  7. Unit Overview • Introducing the Big 6: • Quadratic Sketching Techniques • Cubic Generalizingpower functions • Absolute Value • Square Root • Exponential • Linear

  8. Guided Inquiry Activities • Work collaboratively under well-defined guidelines • Make conclusions and conjectures based on experiences The Student’s Role

  9. Guided Inquiry Activities The Teacher’s Role • Set clear rules for collaboration. • Set time limits. • Summarize points of the activity. • Assess students’ understanding and modify lessons as necessary.

  10. Practice makes pretty good! • Evening Enrichment Opportunities

  11. Assessment Teacher observations Assessment Tools

  12. Teacher Observations • Accuracy of sketches • Verbal feedback • Student interaction and peer instruction

  13. Assessment Tools • In-class demonstration and presentation of student work • Verbal CFUs • Quizzes and tests • Alternative Assessments • A.A. Rubric

  14. Symbolic Language Fluency How Does an FTU Fit In? Quadratics and Polynomial Functions Exponential Functions FTU

  15. Thanks! It was great!

More Related