Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
Radford University
How High Can You Throw?
Find heights by measuring time. Teams collect data to determine the height that a tennis ball is thrown. Classmates measure the height of the initial release of the ball and how long it stays aloft. Using a projectile motion equation,...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
Curated OER
Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
Curated OER
Maxima and Minima
In this algebra worksheet, students discuss the origin of maxima and minima. They solve problems using the maxima and minima and graph parabolas and other functions containing a maxima and minima.
Curated OER
Translating Parabolas
Students make informed choices among technology systems, resources, and services. They select and apply technology tools for research, information analysis, problem solving, and decision making in content learning.
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
Reading Graphs
Students plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.
Curated OER
Quadratic Modeling Of Canada's Baby Boom
Students model quadratic equations. In this algebra instructional activity, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Curated OER
Introduction to Solving Quadratic Equations by Factoring
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
Curated OER
Algebra Exam
In this algebra worksheet, 11th graders graph, parabolas, absolute value and cubic functions. They factor polynomials and simplify roots. There are 75 questions.
Curated OER
Quadratics: Polynomial Form
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
Curated OER
Modeling With Quadratics
Young scholars investigate quadratics through word problems. In this algebra lesson, students models the number of registered males in apprenticeship programs. They investigate the transformation of quadratic function on a coordinate plane.
Curated OER
Solving Quadratic Equations by Graphing
Young scholars solve quadratic equation by graphing. In this algebra lesson plan, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.
Curated OER
The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
Curated OER
Collecting And Fitting Quadratic Data
Students investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.
Curated OER
The Doctrine of Signatures
Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
Curated OER
Four Calculus Derivative, Extrema, and Maximize Area Problems
For this calculus review worksheet, students find derivatives, calculate extrema on an interval, and maximize area. Students should be familiar with the derivatives of trigonometric functions.
Curated OER
Graphs And Ellipses
High schoolers become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked...
Curated OER
Pyrotechnics
Students discuss pyrotechnics and what they have noticed about their height and speed. They think about the path which fireworks follow which is a parabola. They follow multiplication patterns to determine the Zero Product Property and...
Curated OER
Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus instructional activity, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
Curated OER
Windsail Design
Young scholars fit quadratic models to windsail designs. In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size. Young scholars vary the a-value...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...