8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 1/12

Parabolas

Michael Pearson

mp235@hawaii.edu

 November 15, 2010

Math/ MA.AI.10.4-711th Grade

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 2/12

Learners and Learning Environment

Learners:K apaa High School 10th, 11th and 12th graders.

Diverse ethnicities and socio-economic backgrounds.

One student with an IEP, gets to use notes on tests andreceive extra time on assessments

Learning Environment:

Meet daily, 5 times a week, 53 minute periods.

First and Second periods, 33 and 34 studentsrespectively

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 3/12

Content - Curricular Relevance

This unit is part of the Algebra II HCPS IIIstandard. Quadratic Equations.

MA .A11.10.5 ± Apply quadratics to real world

situations

MA.A11.10.6 ± Solve quadratic equations in complex

number system

MA.A11.10.4.- Factor Polynomials representing perfect

squares

This unit ties directly to the standards by

 providing students with the opportunity to graph

and manipulate parabolas electronically.

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 4/12

Content - Learning Objectives

Students will be able to answer thesequestions:

What equations can give us curves that reflect light andsound back to a focus?

What is the next step in complexity past simple linear equations?

What physical processes might they model?

What is the Big Idea? Parabolas and quadratic equations are important tools

for describing a large number of real-world processesand tools.

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 5/12

Content ± Materials, Media & Resources

Teacher Resources

I will use

http://jwilson.coe.uga.edu/

EMT668/EMAT6680.F99

/Erbas/emat6690/Insunit/p

arabola/parabola.html to

help plan the lesson

I will set up accountson VoiceThread for 

students to use to make

their projects.

Student Resources

Students will use TI-83/84

graphing calculators and the

lessons at

http://jwilson.coe.uga.edu/EMT668/EMAT6680.F99/Erbas/emat6

690/Insunit/parabola/parabola.ht

ml

Students will use VoiceThread

to make their projects

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 6/12

Technology

Technologies implemented: VoiceThread,Graphing Calculators, Elmo, Web lessons,PowerPoint, Grapher (a Mac equation graphing program)

What educational technology standards areaddressed in your plan?

 ± Critical Thinking

 ± Problem Solving ± Decision Making

I assume students have some familiarity withgraphing calculators, web browsers, and

PowerPoint

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 7/12

Pedagogy - Methods

Students will learn via short lectures and guidedexploration of the web lessons linked to above.

Students of varying abilities will be given moretime, and the more capable students will be askedto help their peers when they have finished.

Retention and synthesis will be promoted by thecreation of a presentation.

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 8/12

Pedagogy ± Student Outcomes

Students will produce a PowerPoint

 presentation, annotated in VoiceThread, where

they describe how to solve quadratic equations.

Students will have the opportunity todemonstrate their understanding in writing, via

graphing/drawing and verbally (last two in

VoiceThread).

The use of PowerPoint, Grapher, VoiceThread

and graphing calculators will demonstrate that

students are using technology.

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 9/12

Pedagogy - Assessment

Students will be given short quizzes for 

comprehension after being taught each of the 3

major methods to solve quadratic equations.

Formative assessments of homework,classwork, and notes.

Summative assessment via a unit test.

Students will be given a rubric that describeswhat is needed in their presentation. Their 

 presentations will then be assessed based on

that rubric.

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 10/12

Implementation

 Activity Day

Introduction to Quadratics/Parabolas ± demonstrate how to graph on calculator 

1 Day

Mor e Depth on Parabolas ± use website,assessments on first day ± factoring, 2nd daycompeting the squar e, 3rd day quadratic equation

3 Days

Introduce Grapher and VoiceThr ead 1 Day

Pr esent Rubric for Pr esentation, have students plan

out their pr esentation without computer 

1 Day

Let students make their pr esentations and annotate 2 Days

Test on solving quadratics and graphing 1 Day

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 11/12

Your Evaluation of the Lesson

Determine how well the students did on the

various assessments

Give a written survey to the students to have

them assess how much they liked learningusing this much technology

K eep notes and VoiceThread recordings on

my own annotated lesson plans.

8/8/2019 Parabolas Unit

http://slidepdf.com/reader/full/parabolas-unit 12/12

Finale