The Parabolic Bridge Project:

Slides:



Advertisements
Similar presentations
Algebra Recap Solve the following equations (i) 3x + 7 = x (ii) 3x + 1 = 5x – 13 (iii) 3(5x – 2) = 4(3x + 6) (iv) 3(2x + 1) = 2x + 11 (v) 2(x + 2)
Advertisements

Mrs. Gomez Algebra II Pre-AP
Sketching Quadratic Equations by hand…NO CALCULATOR 1.Decide if the parabola opens up or down. – Max or min? 2.Find the vertex. 3.Calculate the discriminant.
Unit 1 Test Review Answers
Algebra 2 (Section 4.9).
ECE 201 Circuit Theory I1 ECE 201 Homework Guidelines Be neat and use Engineering Paper! Begin each problem on a new sheet Identify each problem –Problem.
PSSA SELF-DIRECTED REVIEW If this does not open as a slide show, please click on the slide show tab and choose from the beginning otherwise the links.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Learning Task/Big Idea: Students will learn how to find roots(x-intercepts) of a quadratic function and use the roots to graph the parabola.
4.1 to 4.4 In this assignment, you will be able to... 1.Graph a function. Calculate the vertex and axis of symmetry. 3. Solve quadratics by factoring.
4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x Solve for x by completing the square.
3.6 Solving Absolute Value Equations and Inequalities
Notes Over 5.7 True Solid Check (0,0) Normal Graph
SOLVE THE FOLLOWING INEQUALITIES AND GRAPH THEM. SHOW ALL WORK. Solving and Graphing Inequalities.
5.2 – Solving Inequalities by Multiplication & Division.
Pg. 97 Homework Pg. 109#24 – 31 (all algebraic), 32 – 35, 54 – 59 #30#31x = -8, 2 #32#33 #34#35 #36#37x = ½, 1 #38#39x = -1, 4 #40#41 #42 x = -3, 8#43y.
Chapter 6 Test Prep 6-3 through 6-5: Solving Quadratic Equations 6-6: Graphing Quadratic Functions Application Problems Choose a section to work on. At.
Graphing & Solving Quadratic Inequalities 5.7 What is different in the graphing process of an equality and an inequality? How can you check the x-intercepts.
Lesson 5-6: Quadratic Formula Algebra II CP Mrs. Mongold.
Warm-up Quiz #3 (on your warm-up sheet)
CHAPTER 4.
Wed 12/16 Lesson 4 – 1 Learning Objective: To remember everything about graphing Parabolas! Hw: Graphing Parabolas Day 4 WS.
Solving a Trigonometric Equation Find the general solution of the equation.
MM2A4. Students will solve quadratic equations and inequalities in one variable. d. Solve quadratic inequalities both graphically and algebraically, and.
Notes Over 5.6 Quadratic Formula
Bridges 6 th Grade WWG Science Project. Objective: Design, build and test the load bearing capacity of a scale model bridge.
Fri 12/11 Lesson 4 – 1 Learning Objective: To graph quadratic functions Hw: Graphing Parabolas Day 1 WS.
 In order to solve these problems you need to know:  How to separate a vector into its components.  Quadratic Formula and how to solve it.  Have an.
Quadratic Formula January 13, 2015 Pg. 50 – 51 in Notes
1 Solving Quadratic Equations 1Shaw 2008 February 16, 2010.
S q u a r e I t ! Unit Plan Presentation Janel Montano.
Graphing Quadratic Inequalities Chapter 5.7. Graphing Quadratic Inequalities STEP 1 – Graph the parabola. If the symbol is, draw it with a dashed line.
Title: ch. 6 Algebra: quadratic equations. Learning Objective: WALT solve quadratic equations by using the quadratic formula. p.143.
Graphing and Solving Quadratic Inequalities CHAPTER 5 LESSON 8.
Algebra II March 16 th Students should complete warm-up problems. Students will be able to solve a system of linear equations using elimination. Students.
Solving Quadratic Equations Leslie K Koller Specialized Methods in Secondary Math October 05, 2012.
Solve.
Warm Ups Term 2 Week 6.
Solving Equations & Inequalities
Quadratic Inequalities
3.3 – Solving Systems of Inequalities by Graphing
10.8 Systems of Second-Degree Equations and Inequalities
Solving Quadratic Equations by the Complete the Square Method
PSSA SELF-DIRECTED REVIEW
Graphing and solving quadratic inequalities
Maintenance Sheet 7.11 Homework is due
Solve Quadratic Equations by the Quadratic Formula
Calculus section 1.1 – 1.4 Review algebraic concepts
Algebra II 1.7: Solve Absolute Value Equations and Inequalities.
Y Label each of the components of the parabola A: ________________ B: ________________ C: ________________ C B B 1 2.
Solve x2 + 2x + 24 = 0 by completing the square.
Algebra 1 Section 12.5.
Quadratics – Absolute value
Roots of Quadratics L.O. All pupils understand what roots of quadratics are graphically and algebraically All pupils are confident with finding the roots.
Quadratic Functions and Their Graph
MATH CP Algebra II Exploring Quadratic Functions and Inequalities
Section 7.3 The Parabola.
Quadratic Equations.
Drawing Quadratic Graphs
Absolute Value Equations Absolute Value Inequalities Factoring
Algebra 1 Mini Posters Systems of Linear and Quadratic Equations
HW: Maintenance Sheet DUE
Bellwork: 2/13/18 Find each product.
I will write a quadratic function in vertex form.
3.5 Solving Nonlinear Systems
Name ________________________________________________
Solve each quadratic using whatever method you choose!
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Algebra 1 Warm Ups 12/11.
Forces: Bridge Suspension Lab
Presentation transcript:

The Parabolic Bridge Project: Use of Parabolas in Bridge Design by Dr. K. VanFleet

Pre-Project Educational Requirements Students must have knowledge of the following algebraic concepts: solving quadratic equations and inequalities by factoring and through the use of the quadratic formula graphing both quadratic equations and quadratic inequalities

I. Technological Component Kinds of Bridges http://bridgepros.com/learning_center/ Beam Arch Suspension Pontoon

I. Technological Component How Bridges Work http://dmoz.org/Kids_and_Teens/School_Time/ Science/Technology/Buildings_and_Bridges/ Article by Michael Morrissey http://www.howstuffworks.com/bridge.htm click on arch bridges, suspension bridges

I. Technological Component Flaws in Bridge Building article by Michael Morrissey http://www.howstuffworks.com/bridge.htm additional bridge forces use of iron solid surfaces

I. Technological Component Engineering as a Career http://www.teachingtools.com/Slinky/engineers.html

I. Technological Component West Point Bridge Designer Students as Engineers use computer software to design and test bridge stability Components: Arch or Suspension Types of metal Thickness of metal Stability Expense

I. Technological Component Review quadratic inequalities, which would be suitable for use in the design of a suspension or arch bridge. http://matti.usu.edu/nlvm/nav/frames_asid_109_g_4_t_2.html?open=activities

II. Creative Component Each student must choose one of the following: a) Build a Model of a Bridge OR b) Create a 3-D Poster of a Bridge

II. Creative Component A) Build a 3-D Model Guidelines Type: Arch or Suspension Bridge Materials: toothpicks, popsicle sticks, wire, glue Required Length: 1 foot Required Width: min. 2 ½ in. up to a max. of 6 in.

II. Creative Component B) Create a 3-D poster Guidelines Create a 3-D poster of an arch or suspension bridge Materials: 1 full-size sheet of poster paper Requirements: a) a quadratic inequality representative of the bridge design, b) colorful, c) attached decoration to create 3-D effect such as moss, pebbles, etc.

Tyler Fields Mary Beth Nichols Logan Lovvorn II. Creative Component Finished products submitted by the following 9th grade students: Tyler Fields Mary Beth Nichols Logan Lovvorn

3-D Bridge Model Designed by Tyler Fields

3-D Bridge Poster Designed by Mary Beth Nichols

3-D Bridge Model Designed by Logan Lovvorn