Laura Amatulli
(Rochester Hills  United States)Teaching 8th grade in a middle school in suburban Detroit I have strong interests in Earth Science and leadership. I have been a teacher consultant for our local National Writing Project site, Meadow Brook Writing Project, which keeps me active ...
Math Simulations
Description:Collection of animations and simulations for teaching math concepts
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Subject(s): Mathematics
 Grades 68 / Ages 1113
 Grades 910 / Ages 1416
 ...
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
 From: Curriki Content Curation
 Contributed By: Lani deGuia
Pythagorean Theorem Battleship
Description:It's a battle of wits against the computer. Remember that a²+b²=c²
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Subject(s): Mathematics
 Mathematics > Geometry
 Grades 68 / Ages 1113
 middle
 6th
 7th
 8th
 tween
 Asset: Animation/Simulation
It's a battle of wits against the computer. Remember that a²+b²=c²
Navigate to This External Web Link:
Arithmetic
Description:Remember your multiplication tables? … me neither. Brush up on your multiplication, division, and factoring skills with this exciting game. No calculators allowed!
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Subject(s): Health
 Mathematics
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 KindergartenGrade 2 / Ages 57
 Grades 35 / Ages 810
 ...
 primary
 elementary
 1st
 2nd
 3rd
 4th
 5th
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
For the most uptodate version and related activities, see http://phet.colorado.edu/simulations/sims.php?sim=Arithmetic
Adding Integers (Positives and Negatives)
Description:This activity uses Instructional Architect and a variety of web resources to help students learn to add integers.
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Subject(s): Mathematics
 Grades 68 / Ages 1113
 Grades 910 / Ages 1416
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 Activity: Exercise
 Asset: Animation/Simulation
This activity uses Instructional Architect and a variety of web resources to help students learn to add integers.
National Library of Virtual Manipulatives
Description:Interactive and online virtual manipulatives for mathematics.
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Subject(s): Educational Technology
 Mathematics
 Preschool / Ages 04
 KindergartenGrade 2 / Ages 57
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 primary
 early
 childhood
 prek
 prek
 prekindergarten
 nursery
 preschool
 elementary
 1st
 2nd
 3rd
 4th
 5th
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
Interactive and online virtual manipulatives for mathematics.
Navigate to This External Web Link:
Equation Grapher from PhET
Description:Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.
Embedded from http://phet.colorado.edu/en/simulation/equationgrapher
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Subject(s): Educational Technology
 Mathematics
 ...
 Grades 68 / Ages 1113
 Grades 910 / Ages 1416
 ...
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
Family of Functions
Description: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
Learning Activities: Methods: Procedures:
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Subject(s): Mathematics
 Mathematics > Algebra
 Grades 910 / Ages 1416
 Grades 1112 / Ages 1618
 ...
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
In this Math I/Math I Support course, students will explore specific aspects of the six Family of Functions and be able to graph and identify each by key characteristics.
Group Size: Any
Learning Objectives:
A. 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.
Guiding Question:
How do we identify and graph each of the family of functions?
Materials:
Presentation materials: PowerPoint & Promethean flipscharts from Valdosta High School Math I Team, graph paper, colored pencils, construction paper for graphic organizer,
Additional materials. Textbook: Georgia High School Mathematics 1. McDougal Littell, 2008.Workbook: Math 1: Georgia Notetaking Guide. McDougal Littell, 2008.Test Prep: Georgia Mathematics 1: Test Preparation and Practice. McDougal Littell, 2008.Coach: Georgia GPS Edition Standards Based Instruction. Triumph Learning. 2009.
Procedures:
What do students need to learn to be able to answer the Essential Question? Answer Assessment Prompts: Assessment Prompt #1: White Board: Identify family of function equations: x^{1}, x^{2}, │x│, x^{3}, √x, 1/x (Math I Concept 2 Promethean Flipchart page 12.)Assessment Prompt #2: White Board/Promethean: Identify parent graphs (Math I Concept 2 Promethean Flipchart page 80.)Assessment Prompt #3: Graph the parent graphs by completing a graphic organizer.
Assessment:
Quiz: Math I Concept 2 PowerPoint or Promethean Flipchart
Day One Ticket out the Door: Georgia Mathematics 1: Test Prep and Practice (McDougal Littell, 2007. ISBN13: 9780618920235).
Day Two 321 Draw 3 linear graphs, Draw 2 quadratic graphs, Draw 1 Absolute Value graph
Day Three (if necessary): Find the critical points on samples of each type of graph
Answer Key or Rubric:
Answer Key: Included within Promethean charts, text and resource materialsAP #1: Math I Concept 2 Promethean Flipchart page 14AP # 2: Math I Concept 2 Promethean Flipchart page 80
Benchmark or Standards: Georgia Performance Standards for Math I/Math I Support
MM1A1.a: How do we represent functions using function notation?
MM1A1.b: How do we graph and write equations 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?
Attached Files:
Area of Circle
Description:A good presentation for ease of understanding
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Subject(s): Mathematics
 Mathematics > Geometry
 ...
 Grades 35 / Ages 810
 Grades 68 / Ages 1113
 ...
 elementary
 3rd
 4th
 5th
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 Asset: Animation/Simulation

Interactive Tutorial for Integer Addition/Subtraction
Description:Provides stepbystep feedback for students as they learn to model integer addition and subtraction with pictures. A handson experience that allows students to master the reasoning behind the "add the opposite" method for subtracting integers while developing fluency with addition.
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Subject(s): Mathematics
 Mathematics > Algebra
 ...
 Grades 68 / Ages 1113
 Grades 910 / Ages 1416
 ...
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 Asset: Animation/Simulation
Provides stepbystep feedback for students as they learn to model integer addition and subtraction with pictures. A handson experience that allows students to master the reasoning behind the "add the opposite" method for subtracting integers while developing fluency with addition.
Navigate to This External Web Link:
http://www.geogebra.org/en/upload/files/khall/IntegerTutor.html
Interactive Simulation: Bar Grapher
Description:An interactive to create a custom bar graph with your own data or display a bar graph from an included set of data.
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Subject(s): Mathematics
 Mathematics > Data Analysis & Probability
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 Grades 68 / Ages 1113
 Grades 910 / Ages 1416
 ...
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
An interactive to create a custom bar graph with your own data or display a bar graph from an included set of data.
Navigate to This External Web Link:
Interactive Excel Spreadsheets: Examples for Use in the Classroom and How to Develop
Description:This is a collection of interactive Excel spreadsheets or Excelets for use in mathematics and general chemistry. Many of the spreadsheets come with discoverybased activities. A number of Excelets support the introduction of mathematical modeling concepts. The user changes a variable and the spreadsheet changes in numerical, graphical, and/or even symbolic form (equations). Through the use of numerical experimentation and "what if" scenarios, we have a powerful learning tool for students using readily available offtheshelf software. All of this is done computationally with no use of programming, no macros or Visual Basics for Applications, VBA.
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Subject(s): Educational Technology
 Educational Technology > Integrating Technology into the Classroom
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 Grades 910 / Ages 1416
 Grades 1112 / Ages 1618
 Asset: Animation/Simulation
This is a collection of interactive Excel spreadsheets or Excelets for use in mathematics and general chemistry. Many of the spreadsheets come with discoverybased activities. A number of Excelets support the introduction of mathematical modeling concepts. The user changes a variable and the spreadsheet changes in numerical, graphical, and/or even symbolic form (equations). Through the use of numerical experimentation and "what if" scenarios, we have a powerful learning tool for students using readily available offtheshelf software. All of this is done computationally with no use of programming, no macros or Visual Basics for Applications, VBA.
Navigate to This External Web Link:
Turing Machine Simulation
Description:In 1936 Alan Turing, a British Mathematician, came up with an idea for an imaginary machine that could carry out all kinds of computations on numbers and symbols. He believed that if you could write down a set of rules describing your computation his machine could faithfully carry it out. Turing's Machine is the cornerstone of the modern theory of computation and computability even though it was invented nine years before the creation of the first electronic digital computer.
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Subject(s): Mathematics
 Science
 ...
 College & Beyond
 Asset: Animation/Simulation
In 1936 Alan Turing, a British Mathematician, came up with an idea for an imaginary machine that could carry out all kinds of computations on numbers and symbols. He believed that if you could write down a set of rules describing your computation his machine could faithfully carry it out. Turing's Machine is the cornerstone of the modern theory of computation and computability even though it was invented nine years before the creation of the first electronic digital computer.
Navigate to This External Web Link:
Simulation: Circle Grapher
Description:An interactive to create a custom pie chart with your own data or display a pie chart from an included set of data.
Last Updated:
Subject(s): Mathematics
 Mathematics > Graphing
 ...
 Grades 68 / Ages 1113
 Grades 910 / Ages 1416
 ...
 middle
 6th
 7th
 8th
 tween
 high
 9th
 10th
 secondary
 freshman
 sophomore
 teen
 11th
 12th
 senior
 Asset: Animation/Simulation
An interactive to create a custom pie chart with your own data or display a pie chart from an included set of data.
Navigate to This External Web Link: