EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Inside Mathematics
Party
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Radford University
Got Slope?
Go around and around with slope. The class investigates tornadoes by watching videos, building a homemade tornado, and performing research on the Storm Prediction Center website. Groups gather data and create scatter plots for twisters...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
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...
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
Virginia Department of Education
Functions 2
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal Translations
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
Virginia Department of Education
Solution Concentrations
What happens when you combine 6.022 times 10 to the 23 piles of dirt into one? You make a mountain out of a mole hill. Scholars use dehydration to obtain percent composition and then calculate the molarity of the original...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Curated OER
Birds' Eggs
More than just data, scatter plots are full of information that can be used to answer a variety of questions. This lesson uses a plot with information about bird egg sizes to answer questions about the relationship between length and...
101 Questions
Styrofoam Cups
How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...
Howard County Schools
Planning for Prom
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
Virginia Department of Education
Average Atomic Masses
Facilitate learning by using small objects to teach the principles of atomic mass in your science class. Pupils determine the average mass of varying beans as they perform a series of competitive experiments. They gather data and...
Virginia Department of Education
States of Matter
Scientists have been studying exothermic reactions before they were cool. The activity begins with a discussion and a demonstration of heat curves. Scholars then determine the heat of fusion of ice and the heat needed to...
Curated OER
Mathematics Within: Algebraic Patterns
Students discover patterns in linear equations by playing a dice game to collect data. They graph the data and analyze the patterns of the lines created by the data. The class then compares the individual graphs to evaluate the position...
Curated OER
Linear Functions
In this linear function worksheet, 6th graders solve and complete 3 various types of problems. First, they write the equation of a straight line that passes through a pair of points. Then, students complete each table by filling in the...
Curated OER
Nine Exercises Matching Lines To Their Equations
In this math worksheet, students match the line of the graph with the corresponding equation. The goal is to practice finding the slope for each.
Curated OER
Algebra 2 - Linear Programming
Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...
Curated OER
Linear Regression on TI-89
In this linear regression worksheet, students use the TI-89 calculator to graph linear regressions. Details instructions on the use of the calculator are provided. This one-page worksheet contains six problems.
Curated OER
Connections Involving Linear And Quadratic Functions
In this math worksheet, students determine the range of the function. Then they graph the functions while finding the coordinates on the plane.
Curated OER
Systems of Linear Inequalities #5
In this systems of linear inequalities worksheet, students solve 10 multiple choice problems about linear inequalities. Students determine the maximum and minimum values of systems of linear inequalities.