# QUADRATIC EQUATIONS

Sections:

All Topics - Mixed Review

Completing the Square

Quadratic Formula

Quadratic Graphs

Quadratic Problem Solving

Solve by Factoring

Solve using Square Roots

Square Roots

All Topics - Mixed Review:

Name | Type | Description | Funsheet | Key | Standard | Key |

Solving Quadratics | Standard | Students will choose best method to solve. |

Completing the Square:

Name | Type | Description | Funsheet | Key | Standard | Key |

Completing the Square 1 | Riddle | All equations in standard form and leading coefficients = 1. | ||||

Completing the Square 2 | Riddle | All equations in standard form and leading coefficients = 1. Students must check for extraneous solutions and simplify radical answers. | ||||

Completing the Square 3 | Standard | All leading coefficients > 1. |

Quadratic Formula:

Name | Type | Description | Funsheet | Key | Standard | Key |

Discriminant and Number of Solutions | Droodle | Student will use value of discriminant to determine number of solutions. Some minor equation transformation required. | ||||

Quadratic Formula | Riddle | Non integer answers in radical form. | ||||

Quadratic Formula 2 | Riddle | Non perfect squares left in radical form. | ||||

Quadratic Formula 3 | Riddle | 11 problems. All quadratic equations in standard form. |

Quadratic Graphs:

Name | Type | Description | Funsheet | Key | Standard | Key |

Exploring Quadratic Graphs | Explore Guide | Funsheet is guided exploration to use with graphing calculator to see how a and c affect y = x^2. Standard can be completed after exploration without calculator. | ||||

Graphing quadratic equations 1 | Standard | 6 quadratic equations. Students must label vertex and axis of symmetry. Open as to how students graph other points - I typically have students graph solutions. | ||||

Graphing quadratic equations 2 | Standard | 8 quadratic equations. Students must label vertex and axis of symmetry. | ||||

Graphing quadratic graphs - vertical motion | Standard | 4 vertical motion graphs. Students must round to thousandths to preserve accuracy. For the advanced student with calculator. | ||||

Parabolas (etc.) | Video | Parabolas (and arc shapes) in the world. Funsheet is an online version of experiment mentioned in video. 4 mins. Parabolas |

Quadratic Problem Solving:

Name | Type | Description | Funsheet | Key | Standard | Key |

Drops Around The World | Standard | Given the height of world-wide structures, students will calculate the time it takes for a dropped object to hit the ground. | ||||

Modeling Population Growth | Standard | Given quadratic equations that model world and U.S. population, students will estimate and predict the population of any given year. Works best with graphing calculator. | ||||

Motion problems 1 | Standard | 8 problems that deal with vertical motion. Students will find time, max height or zeroes. Question format exactly the same for w/s 1 and 2, just different equations and values. | ||||

Motion problems 2 | Standard | 8 problems that deal with vertical motion. Students will find time, maximum height or zeroes. | ||||

Quadratic Catapult | Standard | Given the coordinates of a catapult and castle, students will determine equations that will hit the castle. | ||||

Quadratic Graph Art | Standard | Given a picture of designs from quadratic graphs, students will determine the equations that created them. | ||||

Vertical Motion Problems | Standard | More vertical motion problems. |

Solve by Factoring:

Name | Type | Description | Funsheet | Key | Standard | Key |

Solving Quadratic Equations 1 | Riddle | All quadratics already in factored form. | ||||

Solving Quadratic Equations 2 | Riddle | Basic trinomial factoring. | ||||

Solving Quadratic Equations 3 | Color Pattern | Students must transform most equations to standard form. |

Solve using Square Roots:

Name | Type | Description | Funsheet | Key | Standard | Key |

Solving Quadratic Equations Using Square Roots 1 | Riddle | Integer, fraction, simplified radicals and no solution answers. | ||||

Solving Quadratic Equations Using Square Roots 5 | Sudoku | All integer solutions. | ||||

Solving Quadratic Equations Using Square Roots 6 | Riddle | Non perfect squares left in radical form. Some have no solution. |

Square Roots:

Name | Type | Description | Funsheet | Key | Standard | Key |

Square roots on a number line | Quotes | Students will find which two consecutive integers a square root lies between (on number line)to uncover quote. |