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Curated OER
Multiplying Monomials
Students differentiate between linear and quadratic functions. In this algebra lesson, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
Curated OER
Graphing Solution of a Quadratic and Linear System
In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
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...
Radford University
Saving the US from a Missile Crisis
Mathematically shoot down an incoming missile. Given information about the Cuban Missile Crises, learners calculate the equation of the trajectory of an imaginary missile launched from Cuba toward Washington, D.C. Scholars determine the...
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,...
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Radford University
Regression Analysis Activity
Don't let your knowledge of regression analysis regress. Pupils take part in three activities to learn about regression curves. They research and collect data to predict how long it will take a basketball to hit the ground, find a...
101 Questions
Stopping Distances
In 2016, one in every four fatal car crashes listed speeding as a contributing factor. Pupils view videos of a car trying to come to a quick stop from four different rates of speed. They use context clues to measure and determine the...
101 Questions
Falling Rocks
Can you determine how far down a rock drops without visual clues? Viewers observe a clip from a movie testing vertical distance only based on sound. They must determine if it is safe to drop down themselves or if it is farther than their...
Radford University
Maximizing Light Through a Window
Let there be plenty of light. For a perimeter of 10 feet, scholars determine the maximum area of a window composed of a rectangle and a semicircle. They draw diagrams and then write and solve equations to find the height and radius for...
Curated OER
Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
Curated OER
Writing Equations of Parabolas in Vertex Form
Pupils use their knowledge of the vertex form of a quadratic equation to graph parabolas using a graphing calculator, given a specific move to make. this instructional activity may be used as a review or as extra practice, in groups or...
Curated OER
Lesson 1: Exploring Quadratic Graphs
Students, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the parabola...
Curated OER
Arithmetic Complex Numbers
Young scholars convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.
Flipped Math
Sequences
Develop a sequence of descriptions. Learners watch an introduction to sequences, their notations, and how to graph them. Pupils use full sentences to describe the sequence and how to get from one term to the next, without needing to...
Curated OER
Investigating Parabolas
Students identify properties of parabolas. In this algebra instructional activity, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.
Curated OER
Windsail Design
Learners 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. Learners vary the a-value...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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