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##### Algebra Mastery Through Relevant Applications

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**Algebra Mastery Through Relevant Applications**Opening Remarks**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**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.**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**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**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**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**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**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**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,**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.**Traditional, lecture-based classrooms are no longer adequate**to prepare students for a highly technological society.**Learners in the 21st century need to be captured through**interactive experiences.**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**Recommended Resource**Algebra Mastery Through Relevant Applications in Grades 6-10. International Center for Leadership In Education, www.LeaderEd.com $295.00.