West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Balanced Assessment
Catenary
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...
Shmoop
Functions Worksheet 5
To the point and deeper thinking are both types of questions included in the worksheet. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems.
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data worksheet, students use quadratic functions to model data using three different methods. This worksheet provides explanations and an example. Additionally, students are given the steps to find the...
Curated OER
Parabolas
In this parabolas worksheet, 10th graders solve and complete 15 different problems related to parabolas. First, they define parabola and its information related to graphing one. Then, students write each equation in standard form. They...
Curated OER
Systems of Equations
Young scholars solve systems of equations. In this algebra lesson, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.
Curated OER
Chapter 11 - Objective 6.1 Parabola
In this parabolic exercise, learners find the vertex and axis of symmetry of parabolas, hyperbolas, and ellipses. They sketch the graph. This one-page worksheet contains ten problems.
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
For this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
Balanced Assessment
On Averages and Curves
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Concord Consortium
Circling
Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...
Illustrative Mathematics
Identifying Quadratic Functions
Put your high schoolers to the test and see how well they know their quadratic functions. With excellent thought-provoking questions, learners use what they know about creating quadratic equations based off different pieces of...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Parabola
Learners complete a worksheet and explore the parabola conic section during a web based activitiy. They answer questions based on their work as they make changes in the features of the parabola.
Curated OER
Windsail Design
High schoolers 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. High schoolers vary...
Curated OER
Quadratic Parabolas
In this math worksheet, students find the solutions of the problems for quadratic equations. They graph the parabolas and find the missing sides of the triangles.
Curated OER
Graphs of Quadratic Functions Section 11.6
For this graphing worksheet, students graph quadratic functions. They identify the maximum and minimum value of the function, determine the line of symmetry, and locate the vertex. Coordinate planes are provided for each function. There...
Curated OER
Let's Play Some Ball!
Pupils review horizontal and vertical shifts of a parabola and how they effect a specific quadratic formula. They play a basketball review game in which they try to find the right quadratic equation for a given problem in order to earn...
Curated OER
Graphs of Quadratic Equations
In this graphs of quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the vertex using...
Curated OER
Quadratic Formula
Young scholars factor and solve quadratic equations.In this algebra lesson, students identify the roots of an equation using the quadratic formula. They graph and identify the properties of a parabola.
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Curated OER
Quadratic Equation Calculator
In this Algebra II worksheet, 11th graders use an online quadratic equation solver to find the zeros of a quadratic. The one page interactive worksheet provides one worked example and the equation solver.
Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...