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Algebra Mastery Through Relevant Applications
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  1. Algebra Mastery Through Relevant Applications Opening Remarks

  2. The Rigor/Relevance Framework K N O W L E D G E T A X O N O M Y 6 5 4 3 2 1 Evaluation C Assimilation D Adaptation Synthesis Analysis Application A Acquisition B Application Understanding Awareness 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL International Center for Leadership in Education

  3. Defining Rigor

  4. Math Teachers Beware! Evaluate. Let x = 2 and y = -3 3xy-12y2 Although the word evaluate is located at a level 6 on the knowledge taxonomy, this question does not require students to think at a high level. This question is a traditional “plug and chug” exercise.

  5. Another Caution for Math Teachers Content Knowledge When teaching concepts and skills to students for the first time, it is important to remember that what is easy for the teacher is challenging to the student

  6. Algebra Relevance

  7. The Rigor/Relevance Framework Quadrant C Assimilation Quadrant D Adaptation K N O W L E D G E T A X O N O M Y 6 5 4 3 2 1 Evaluation Synthesis Analysis Application Distinguish rational and irrational numbers. Understanding Awareness Quadrant A Acquisition Quadrant B Application 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL

  8. The Rigor/Relevance Framework Quadrant C Assimilation Quadrant D Adaptation K N O W L E D G E T A X O N O M Y 6 5 4 3 2 1 Evaluation Synthesis Analysis Application Understanding Calculate medical dosages for different weight animals Awareness Quadrant A Acquisition Quadrant B Application 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL

  9. The Rigor/Relevance Framework Quadrant C Assimilation Quadrant D Adaptation K N O W L E D G E T A X O N O M Y Evaluation 6 5 4 3 2 1 Synthesis Analysis Solve quadratic equations and linear inequalities Application Understanding Awareness Quadrant A Acquisition Quadrant B Application 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL

  10. The Rigor/Relevance Framework Quadrant C Assimilation Quadrant D Adaptation K N O W L E D G E T A X O N O M Y 6 5 4 3 2 1 Evaluation Synthesis Create formulas to predict changes in stock market values Analysis Application Understanding Awareness Quadrant A Acquisition Quadrant B Application 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL

  11. The Rigor/Relevance Framework D C Evaluation 6 5 4 3 2 1 • Determine how much harder you need to hit an uphill putt • Design a set of golf clubs customized for launch and ball flight options K N O W L E D G E T A X O N O M Y • Solve quadratic equations • Factor polynomials Synthesis Analysis A B Application • Collect data from the speedometer of your automobile and calculate your average speed • Determine the exit pocket of a pool ball when hit Understanding • Solve linear equations • Factor numbers using rules of divisibility Awareness 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL

  12. Why Quadrants B and D? Whether working with combinations and permutations or angles and speed, algebra is the language of mathematics. Students need algebra and they need to be good at it,

  13. In a recent report from the Raytheon Company it was reported that 84% of middle school students would rather clean their rooms, take out the garbage, or go to the dentist than do their math homework.

  14. Traditional, lecture-based classrooms are no longer adequate to prepare students for a highly technological society.

  15. Learners in the 21st century need to be captured through interactive experiences.

  16. The Rigor/Relevance Framework K N O W L E D G E T A X O N O M Y 6 5 4 3 2 1 Evaluation C Assimilation D Adaptation Synthesis Analysis Application A Acquisition B Application Understanding Awareness 1 2 3 4 5 Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Knowledge Apply in discipline APPLICATION MODEL International Center for Leadership in Education

  17. Recommended Resource Algebra Mastery Through Relevant Applications in Grades 6-10. International Center for Leadership In Education, www.LeaderEd.com $295.00.