Algebra Mastery Through Relevant Applications Opening Remarks

2 The Rigor/Relevance Framework A Acquisition B Application C Assimilation D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real- world unpredictable situations International Center for Leadership in Education

Defining Rigor LevelPerformance Level 1 - Knowledge Label the x and y axis Level 2 - Comprehension Graph ordered pairs Level 3 - Application Graph a scatter diagram from data Level 4 - Analysis Find the slope of a line Level 5 - Synthesis Generate an equation for a given set of data Level 6 - Evaluation Write a scenario for a given graph of a function

Math Teachers Beware! Evaluate. Let x = 2 and y = -3 3xy-12y 2 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

Algebra Relevance LevelPerformance Level 1 – Knowledge in One Discipline Solve a one-step equation Level 2 – Application in One Discipline Find the slope of a linear equation Level 3 – Interdisciplinary Application Derive the formula distance = rate x time Level 4 – Real-world Predictable Situations Calculate the reaction time of drivers for different speeds Level 5 – Real-world Unpredictable Situations Create formulas to predict changes in stock market values

The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Distinguish rational and irrational numbers.

The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Calculate medical dosages for different weight animals

The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Solve quadratic equations and linear inequalities

The Rigor/Relevance Framework Quadrant A Acquisition Quadrant B Application Quadrant C Assimilation Quadrant D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Create formulas to predict changes in stock market values

The Rigor/Relevance Framework KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real-world unpredictable situations Solve linear equations Factor numbers using rules of divisibility C A D B Collect data from the speedometer of your automobile and calculate your average speed Determine the exit pocket of a pool ball when hit Solve quadratic equations Factor polynomials Determine how much harder you need to hit an uphill putt Design a set of golf clubs customized for launch and ball flight options

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 21 st century need to be captured through interactive experiences.

16 The Rigor/Relevance Framework A Acquisition B Application C Assimilation D Adaptation KNOWLEDGEKNOWLEDGE TAXONOMYTAXONOMY Evaluation Synthesis Analysis Application Understanding Awareness APPLICATION MODEL KnowledgeApply in discipline Apply across disciplines Apply to real world predictable situations Apply to real- world unpredictable situations International Center for Leadership in Education

Recommended Resource Algebra Mastery Through Relevant Applications in Grades International Center for Leadership In Education, $