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Emily AldermanJessica Markstrom Noah Salter Sarah Tarchala
History/Training Algebra for All Year 1 Year 2 Master’s Work Curriculum, Instruction, and Assessment MAT – Master of Arts in Teaching Online PD last year EMATHS – Implementing Algebra Units Project PRIME
Philosophy What is a Functions Based Approach? Content Instruction Reasons for Using a Functions Based Approach We remember Algebra longer when make and use our own associations Pattern Building makes learning simpler, faster, understandable Graphing Calculator and effects of engagement Use of visualization first and symbolic second Function implementation module and early activities prime the brain for algebra that follows Enriched learning environment Contextual situations (represented as functions) help give meaning to the algebraLaughbaum, E.D. Why Use a Function Approach when Teaching Algebra. Texas Mathematics Teacher, 53(1), 10 - 16
Units1) Family of Functions2) Linear Functions and Equations3) Absolute Value Functions and Linear Inequalities4) Systems of Linear Equations and Inequalities5) Exponential Functions6) Quadratic Functions and Quadratic Equations7) Polynomial Functions8) Radical Functions and Equations9) Bi-variate Data and Mathematical Modeling
Unit 5 – Exponential FunctionsLesson Type of LessonLet’s Make a Deal with Your Parents InvestigationPay It Forward InvestigationBee Gone? InvestigationTransformations with Online Graphing Investigation/NotesCalculatorQuiz: Exponential Growth and AssessmentDecay/Transformations of ExponentialFunctionsHW: Which Family of Functions is it?
Unit 5 – Exponential FunctionsLesson Type of LessonProperties of Exponents NotesPractice with Properties of Exponents Group WorkProperties of Exponents Notes/Group WorkProperties of Exponents Practice: Fraternal Twins Group WorkQuiz: Properties of Exponents AssessmentHW: Pre-Scientific NotationScientific Notation Notes/InvestigationExponential Growth and Decay with PercentagesHW: Finish investigationPercent Increase and Decrease Notes/Group WorkReview Group Work/Individual PracticeUnit 5 Test: Exponential Functions Assessment
Unit 5 – Exponential Functions**Exponential Activity Assessment somewhere in unit? (did not do but would like to)Exponential Activities that we have: Pay it Forward Video clip One Grain of Rice Book Alice and Wonderland Video Clip or Book Make a Deal with your Teacher Paper Folding Mythbusters Video Clip M&M Hands on with M&Ms Lily’s Mussels USA Today- Population Uses Census Data Bee Gone
Video Reflections What are the different ways students are asked to record information? What are some methods used to keep all students engaged? What percentage of students involved in the board activity in the co-taught class do you think are students with special needs? Can you see any examples that demonstrate students’ comfort level with math conversations?
1st Semester Results PLC/Function Based Algebra 1 PLC Functions Based Students scores were higher Students scores were higher by at least 5% on 9 out of 50 by at least 5% on 13 out of 50 questions questions Co-taught students scores Co-taught students scores were higher by at least 5% on were higher by at least 5% on 13 out of 50 questions 24 out of 50 questions
ComparisonsPLC Function Based Solving absolute value Graphing linear functions. equations. Horizontal and vertical lines. Solving a linear equation with Writing an equation for a a fraction. linear situation in real-life. Proportion to solve Correlation of scatter plots. contextual problem. Simplify an expression using order of operations.
Things that were not explicitlyaddressed but did comparably… Unit rate Ordering numbers from least to greatest Perfect squares Finding the length of a square mirror if the area is given Giving coordinates of a point
Michigan Algebra 1 Assessment Content 2010 – 2011 2011 – 2012 Change Follow Pattern in Table 72 78 + 6% Relationship in table 73 60 - 7% Which family of function? 55 46 - 9% Follow Pattern in Table- Linear 17 48 + 31% Write Equation Perpendicular 50 48 - 2% through a point Graphing Linear Equations 50 71 + 21% Which function is it? 82 95 + 13% Horizontal/Vertical Linear and 58 76 + 18% Parallel Correlation Strength 50 80 + 30% Graph Linear Equations 75 86 + 11% Scatterplots-modeling 33 54 + 21% Correlation – interpreting the 25 58 + 33% situation