Functions Based Algebra 1

Emily AldermanJessica Markstrom

Noah SalterSarah Tarchala

History/TrainingAlgebra for All

Year 1Year 2

Master’s Work Curriculum, Instruction, and AssessmentMAT – Master of Arts in Teaching

Online PD last yearEMATHS – Implementing Algebra Units Project PRIME

PhilosophyWhat 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 algebra

Laughbaum, 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 Equations 7) Polynomial Functions8) Radical Functions and Equations9) Bi-variate Data and Mathematical Modeling

Unit 5 – Exponential Functions

Lesson Type of LessonLet’s Make a Deal with Your Parents InvestigationPay It Forward InvestigationBee Gone? InvestigationTransformations with Online Graphing Calculator

Investigation/Notes

Quiz: Exponential Growth and Decay/Transformations of Exponential FunctionsHW: Which Family of Functions is it?

Assessment

Unit 5 – Exponential FunctionsLesson Type of Lesson

Properties of Exponents Notes

Practice with Properties of Exponents Group Work

Properties of Exponents Notes/Group Work

Properties of Exponents Practice: Fraternal Twins Group Work

Quiz: Properties of ExponentsHW: Pre-Scientific Notation

Assessment

Scientific NotationExponential Growth and Decay with PercentagesHW: Finish investigation

Notes/Investigation

Percent Increase and Decrease Notes/Group Work

Review Group Work/Individual Practice

Unit 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 clipOne Grain of Rice BookAlice and Wonderland Video Clip or BookMake a Deal with your TeacherPaper Folding Mythbusters Video ClipM & M Hands on with M&MsLily’s MusselsUSA Today- Population Uses Census DataBee Gone

Student Work

Notes

Group Work Investigations

Homework Assessments

Video ReflectionsWhat 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 ResultsPLC/Function Based

Algebra 1 PLC Functions Based

Students scores were higher by at least 5% on 9 out of 50 questions

Co-taught students scores were higher by at least 5% on 13 out of 50 questions

Students scores were higher by at least 5% on 13 out of 50 questions

Co-taught students scores were higher by at least 5% on 24 out of 50 questions

ComparisonsPLC Function BasedSolving absolute value

equations.Solving a linear equation

with a fraction.Proportion to solve

contextual problem.

Graphing linear functions.

Horizontal and vertical lines.

Writing an equation for a linear situation in real-life.

Correlation of scatter plots.

Simplify an expression using order of operations.

Things that were not explicitly addressed but did comparably…

Unit rateOrdering numbers from least to greatestPerfect squaresFinding the length of a square mirror if the area

is givenGiving coordinates of a point

Michigan Algebra 1 AssessmentContent 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 through a point

50 48 - 2%

Graphing Linear Equations 50 71 + 21%

Which function is it? 82 95 + 13%Horizontal/Vertical Linear and Parallel

58 76 + 18%

Correlation Strength 50 80 + 30%Graph Linear Equations 75 86 + 11%Scatterplots-modeling 33 54 + 21%

Correlation – interpreting the situation

25 58 + 33%

Functions Based and the CCSS Math Practices

Personal/Professional Reflections

Personal Growth

Professional Growth

Challenges

Beliefs

Questions?

Next Steps