Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
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
Finding the Vertex of a Quadratic Function
Learners solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Solving Quadratic Trigonometric Equations
In this trigonometry worksheet, students solve quadratic trigonometric equations. The seven page worksheet contains explanation, examples, and sixteen multi-part questions. Answers are not included.
Curated OER
Quadratic Formula
Students 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
Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson, students find the equations of parabolas of US landmarks. Students put a grid on landmarks...
Curated OER
The Kangaroo Conundrum: A Study of a Quadratic Function
Students play a game and collect data for their graph. In this algebra lesson, students solve quadratic equations and identify properties of their graph. They describe the pattern created by the graph and the game.
Curated OER
Integrated Algebra Final Exam
In this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
Curated OER
The Quadratic Formula
In this Algebra II learning exercise, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have. The two page learning...
Curated OER
A Study of a Quadratic Function
Students factor and solve quadratic equations. In this algebra lesson, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
Concord Consortium
Intersections I
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
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...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Radford University
Snappy Stair Sprints
Let's go for a run. Small groups determine a way to collect data to determine the time it would take to run a set of stairs. After creating a plan, teams collect data and graph their results, calculating the equation of best fit and...
Balanced Assessment
Two Solutions
An assessment presents a variety of equations and inequalities. Pupils must find two solutions for each equation or inequality and determine whether there are only two, another finite number, or an infinite number of solutions...
Illustrative Mathematics
Running Time
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
Curated OER
Quadratic Inequalities
In this quadratic inequalities worksheet, 9th graders solve and graph 10 different problems that include various forms of inequalities. First, they solve each equation shown algebraically. Then, students state the solution set of the...
Curated OER
Graphs of Parabolas
In this graphs of parabolas worksheet, 10th graders solve 10 different problems that include the graphs of various parabolas. First, they graph the parabola given the equation to determine which way the parabola opens. Then, students...