July 14, 2010

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This folder contains the lesson plans from the Summer 2010 session.

- Mathematics > General

- Grade 6
- Grade 7
- Grade 8
- Grade 9
- Grade 10
- Grade 11
- Grade 12
- Professional Education & Development

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Table of Contents

- Linear Programming Activity
- Applying the Pythagorean Theorem
- Mad Tea Party video
- From Wonderland to Functionland
- “HOW HIGH IS IT ANYWAY?” - Determining Height with Trig
- Family of Functions
- Multiplying Polynomials
- Art Project - Piecewise Functions
- Orange Lab - Spheres
- Expected Value
- Introduction to Standard Deviation
- Pythagorean Theorem-Firefighters at Work
- Multiplying and Dividing Square Roots
- Hit the Slopes (Smartboard)
- Hit the Slopes (Word doc)
- Basic Counting Principle
- T Gill
- Random Rectangles
- Discovering the Pythagorean Theorem
- Multiplying and Dividing Square Roots Graphic Organizer
- Lea King, Michele Mathes, and Jon Scroggins
- Linear Functions
- Exploring the Solar System with Scientific Notation
- Points of concurrency
- Full of Hot Air Lab
- Special Quadriaterals
- Simplify and Evaluate Algebraic Expressions
- Rational/Irrational Numbers
- Expected Value Game
- Logic
- Losing Your Marbles
- Introduction to Determining Probability
- Determining Outcomes
- Hit the Slopes Lesson Plan
- Introduction to Pythagorean Theorem
- Triangle picture # 3
- Triangle Picture #2
- Sequences as Functions
- Triangle Inequalities Lesson Plan
- Triangle Picture
- Counting Principle
- Parabola Party!
- Factoring Perfect Square Trinomials
- Cell Phone Tower
- Investigating Characteristics of Quadratics
- Counting Principle PowerPoint
- Maximum and Minimum Values PowerPoint
- Quadratic Functions PPT
- Writing Inequalities Lesson Plan
- Solving and Graphing Inequalities
- Reading and Making Scatter Plots
- Writing Inequalities
- Parrallel Lines and Angles
- Rock Paper Scissors
- Symmetry of Functions
- Applications of Linear Regression
- Investigating the Parabola in Vertex Form
- i Like to Use My Imagination
- i Like to Use My Imagination Teacher Guide
- i Like to Use My Imagination Activity Sheet

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This folder contains the lesson plans from the Summer 2010 session.

This is a one class-period activity to introduce the concept of linear programming. Students will be familiar with the vocabulary and the purpose of solving systems of inequalities to find an optimal solution.

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Lesson plans for applying the Pythagoream Theorem. Word problems are provided that will require students to draw an illustration in order to determine the sides of the right triangle.

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This video clip is shown before introducing the revised task, "From Wonderland to Functionland". It helps demonstrate the real-life application of Conditional Statement to the Converse Statement, as well as introducing the truth value.

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This is a revised and modified task or class activity from the "Task Wonderland to Functionland" from the state in Unit 1, Lesson 9. This activity (task) will extend the introduction of conditional statements.

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The following lesson was created by making changes to Lesson #11(original lesson) from the OKRESA website. Lesson #11, as well as others, were developed within a collaborative project between Okefenokee RESA, Coastal Plains RESA, and Southwest Georgia RESA. These units were created in effort to provide a resource for lessons to assist teachers as they implement Mathematics I and II. The units were written by high school mathematics teachers. This revised lesson provides students with an outdoor activity in which to apply what they have learned about the right triangle trig ratios. This lesson should only be used after the student has demonstrated an understanding of the right triangle trig ratios, complementary angles, and angles of elevation/depression. In the end, the students will approximate the height of various objects such as trees, light poles, or buildings using a hypsometer and trigonometry. Note: In order to use the assessment, a teacher must have acces to the TI-Navigator system for a class set of TI-84 plus graphing calculators.

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Powerpoint with activating lesson, lesson, and references to assessments (GPS Georgia Mathematics I: Test Prep and Practice) for Unit 1, Lesson 1 for Math I.
Concepts: Family of Functions: Linear, Absolute Value, Quadratic, Cubic, Radical, and Rational
Skills:
MM1A1.a
How do we represent functions using function notation?
MM1A1.b
How do we graph and write equation for each of the Family of Functions?
MM1A1.c
How do we graph transformations of functions?
MM1A1.d
What are the characteristics of a function and how do you use them?
MM1A1.e
How do we use graphs and tables to investigate behavior of functions?
MM1A1.f
How do we recognize sequences as functions with domains that are whole numbers?
MM1A1.g
How do constant rates of change compare to variable rates of change within the Family of Functions?
MM1A1.h
How do we determine graphically and algebraically whether a function has symmetry and whether it is odd, even, or neither?
MM1A1.i
How do we interpret an equation in x, and its solutions as f(x) = g(x) and show where they intersect? Identify functions by graph and equation B. Identify critical points and slope
C. Identify characteristics: Domain and range, zeros and intercepts, max and min, end behavior, and increase and decrease
C. Graph equation
D. Write equations from graph
E. Identify parent graphs.
Learning Activities:
Methods:
Procedures:

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A 50 minute lesson plan on Multiplying Polynomials using FOIL and real world applications.

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Unit 5: Piecewise Functions and Inverses

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Unit 3: Circles and Spheres

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Expected Value Lesson includes how to dissect and use the formula. Also involves real-world applications and an overall review on Probability.

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This lesson compares mean absolute deviation and introduces standard deviation through hands on activity.

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This task is designed to supplement the concepts taught in Unit 2 of the 8th Grade Georgia Performance Standards. The standards addressed in this activity are M8G2, strands a and b. This task provides a real-world application of the Pythagorean Theorem.

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This Lesson Plan describes the steps necessary for students to learn how to multiply and divide square roots.

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Smartboard presentation on reading and graphing slope.

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Lesson plan on reading and graphing slope.

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Students will understand why multiplication works for the Basic Counting Principle.

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File Folder for 8th Grade Lessons created by Theresa Gill.

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Unit 4: Data Analysis and Probability

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This is a packet where students will discover, using the areas of a square and triangle, the formula for Pythagorean Theorem.

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Graphic Organizer

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Group 6: Teacher workgroup for Math I

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In this lesson students will use paper to make a bridge between two books, a paper cup, and pennies. They will increase the depth or weight of their bridge with each trial to make a linear function.

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Lesson with resources that require students to use scientific notation to determine the distances between planets.

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A lesson plan in which students create triangles out of string in order to locate the incenter and circumcenter.

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Students will blow up balloons and determine the volume after each breath. They will plot scatterplots and write regression equations for individual and group results.

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This 50 minute Lesson Plan takes a look at the characteristics of quadrilaterals and how to use them for applications.

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Expressions

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Distinguish between Rational/Irrational Numbers

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Students will act as contestants on a game show in order to establish a problem in which expected value can be used to determine whether they should play the game or quit without taking risks. They will also calculate simple and compound probabilities related to playing cards and rolling dice.

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A lesson plan with the Conditional Statements rewritten as its Converse, Inverse, and Contrapositive. It also takes a look at the truth values of the statements and a revised Task.

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Math 2 Unit 2

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Lesson that introduces determining the probability of a single event.

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Lesson pertains to determining outcomes in a variety of means. Fundalmental counting principal and tree diagrams are stressed.

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Lesson pertains to determining slope from a graph and drawing slope on the coordinate plane.
One is a Word document, the other is a Smartboard presentation.

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Lesson is an introduction to the Pythagorean Theorem. The lesson contains Brainpop, a rap video, and a model video to help students visualize the formula. Practice is provided on determining if a triangle is a right triangle and determining the missing side of a right triangle.

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Could be used with Geometry Unit/Triangles.

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Could be utilized in Geometry Unit / Triangles

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A guided discovery lesson show how to write a given sequence as a function.

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Lesson for a hands on approach to teaching Triangle Inequalities Theorem

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Utilize with lesson on Triangles

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Lesson plan for teaching the Basic Counting Principle and the Addition and Multiplication Rules for determining outcomes

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Lesson and Resourses for review of transformations from Math I.

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Exploration lesson where students discover the rules for factoring Perfect Square Trinomials.

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This is the assessment component to lesson on Finding and Using Medians Math 1/Math Support

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Lesson plan and activities for finding the vertex and y-intercept of a quadratic function.

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Lesson on using the Counting Principle with practice, graphic organizer, and assessments built in

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Lesson with built in graphic organizer, practice and assessment

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Quadratic Functions PPT, includes assessment and work sheet

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Instructions for a 60 minute lesson on writing inequalities using problem contexts.

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Using interactive websites students will be able to solve and graph inequalities.

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Lesson revolves around collected data that is utilized in a scatter plot. Real life situations are used within the lesson to depict the basic 3 types of scatter plots. Best line of fit is also presented.

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Recognizing vocabulary and writing inequalities from a word context.

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Information compiled from the internet

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This is an exploration in tree diagrams and outcomes.

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This plan utilizes the GPS Math I Logo Symmetry Task as the focus of the lesson. This lesson is designed for a 9th grade Math I class.

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Application of the process of linear regression for curve fitting using appropriate technology.

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This activity is intended to allow students to study the effects of changes to the
values of A, B, and C on the graph of the quadratic function when given in standard
form, y = ax2 + bx + c 1. As a result of this activity, students will be able to graph a
parabola in standard form by determining the vertex and then using the y-intercept
and a symmetric point to plot the curve 1. The students will learn how to represent the vertex (h,k) of a quadratic function in terms of a, b, and c when the function is in standard form.

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This lesson introduces the student to complex numbers, teaches them how to operate with powers of i and to perform basic addition, subtraction, and multiplication of complex numbers in the form a + bi.

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Teacher Guide for the lesson on adding, subtracting, and multiplying complex numbers.

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Student Activity Sheet for use with lesson on adding, subtracting, and multiplying complex numbers.

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