Illustrative Mathematics
Springboard Dive
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
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...
Mathalicious
Domino Effect
Carryout the lesson to determine the cost of pizza toppings from a Domino's Pizza® website while creating a linear model. Learners look through real data—and even create their own pizza—to determine the cost of each topping. They...
Curated OER
Investigating Parabolas
Students identify properties of parabolas. For this algebra lesson, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.
Curated OER
System of Two Quadratic Inequalities
Students set up and solve a system of quadratic inequalities related to real-world situations.
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Virginia Department of Education
Line of Best Fit
Pupils work through a guided activity on fitting a linear equation to a set of data by entering the data into a calculator and trying to envision a line of best fit. They then have the calculator determine the least-squares line and...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
CK-12 Foundation
Vertical Translations
Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...
Curated OER
As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Virginia Department of Education
Spring Fling Carnival
Think critically — and linearly by applying linear equations to solve real-world problems. Young mathematicians write equations to model the profit on popcorn and cotton candy at a carnival and solve problems using these equations.
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
Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...
Curated OER
Finding Patterns and Graphing Functions
Learners investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Learners graph their results and determine if the...
Curated OER
Graphing Equations
Students differentiate between linear and quadratic functions. In this algebra lesson plan, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.
Balanced Assessment
Para-Ball-A
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Curated OER
Graphing Solution of a Quadratic and Linear System
In this algebra learning exercise, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Curated OER
Modeling With Quadratics
Students investigate quadratics through word problems. In this algebra lesson plan, students models the number of registered males in apprenticeship programs. They investigate the transformation of quadratic function on a coordinate plane.
Curated OER
Means of Growth
Learners collect and graph data. In this statistics instructional activity, students analyze their plotted data using a scatter plot. They identify lines as having positive, negative or no correlation.
Curated OER
Inequalities
In this inequalities worksheet, 9th graders solve and complete 18 different types of problems. First, they use systems of 2 equations/2 unknowns to solve each word problem shown. Then, students graph each and identify the vertex plus 2...