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Kevin Driscoll
(Los Angeles - United States)I taught Computer Science and Mathematics from 2004-2007 at Prospect Hill Academy Charter School in Cambridge, MA. Since then, I completed a Master's degree in Comparative Media Studies at MIT and am now a PhD candidate in Communication at University of ...
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- From: Curriki Content Curation
- Contributed By: Lani deGuia
It's a battle of wits against the computer. Remember that a²+b²=c²
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For the most up-to-date version and related activities, see http://phet.colorado.edu/simulations/sims.php?sim=Arithmetic
This activity uses Instructional Architect and a variety of web resources to help students learn to add integers.
Interactive and online virtual manipulatives for mathematics.
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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: x1, x2, │x│, x3, √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. ISBN-13: 9780-618-92023-5). Day Two 3-2-1 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?
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Provides step-by-step feedback for students as they learn to model integer addition and subtraction with pictures. A hands-on 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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http://www.geogebra.org/en/upload/files/khall/IntegerTutor.html
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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This is a collection of interactive Excel spreadsheets or Excelets for use in mathematics and general chemistry. Many of the spreadsheets come with discovery-based 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 off-the-shelf software. All of this is done computationally with no use of programming, no macros or Visual Basics for Applications, VBA.
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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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An interactive to create a custom pie chart with your own data or display a pie chart from an included set of data.
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