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Fireworks The Central Problem The central problem of this unit involves sending up rockets to create a fireworks display. The trajectory of the rocket is a parabola; this unit continues the algebraic investigations of the Year 2 unit Solve It!, with a special focus on quadratic expressions, equations, and functions. Students see that they can use algebra to find the vertex of the graph of a quadratic function by writing the quadratic expression in a particular form.
Fireworks Topic Page in your book The World of Quadratics . . . . . . . . . . . . . . . . . . 3 Fireworks . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . 4 The Standard POW Write-up . . . . . . . . . . . . . . . . . . . . . . . . . 6 Homework 1:A Corral Variation . . . . . . . . . . . . . . . . . . . . . 8 POW 1: Growth of Rat Populations . . . . . . . . . . . . . . . . . . . 9 The Ups and Downs of Quadratics . . . . . . . . . . . . . . . . . . . 11 Quadratics and Other Polynomials . . . . . . . . . . . . . . . . . . .13 Homework 2: Rats in June . . . . . . . . . . . . . . . . . . . . . . . . . .16 Homework 3: Product Equations . . . . . . . . . . . . . . . . . . . . 17 Factored Intercepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Homework 4: Make Your Own Intercepts . . . . . . . . . . . . . 21 Revisiting a Mystery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .22 Homework 5: Factoring Begun . . . . . . . . . . . . . . . . . . . . . .24 Who’s Perfect? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Homework 6: More About Perfection . . . . . . . . . . . . . . . . 26 The Same but Different . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .28 Homework 7: Make Your Own Vertices . . . . . . . . . . . . . . . 29 Vertex Form Begun . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Homework 8: How Much Can They Drink? . . . . . . . . . . .. 31 Homework 9: Corrals and Pens Again . . . . . . . . . . . . . . . .33 Fireworks Height Revisited . . . . . . . . . . . . . . . . . . . . . . . . . 34 Homework 10: Quadratic Query . . . . . . . . . . . . . . . . . . . . .35 Homework 11:“Fireworks” Portfolio . . . . . . . . . . . . . . . . 36 Supplemental Problems . . . . . . . . . . . . . . 37 Check It Out! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Imagine a Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .40 More and More Mysterious . . . . . . . . . . . . . . . . . . . . . . . . . 42 Factors of Research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Twin Primes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .44 Number Research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Vertex Forms Everywhere . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Vertex Form and Intercepts Together . . . . . . . . . . . . . . . . .48 Quadratic Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .50 Equilateral Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 What About One? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
I am Under Construction
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