Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
Trout Pond
Students demonstrate the use of iteration, recursion and algebra to model and analyze a changing fish population. They use graphs, equations, tables, and technological tools to investigate the effect of varying parameters on the...
Curated OER
Slopes of Lines
Learners examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
NASA
Weightless Wonder
A video of the weightless wonder provides a setting for the math to follow. Groups analyze the graph of a quadratic function that models the path of the C-9 as it gives astronauts the experience of weightlessness. Using a graphing...
Concord Consortium
Catching Up
Class members have some catching up to do. Given a linear equation describing the distance of a runner, young mathematicians interpret the equation in terms of the context. They consider a general equation of the same form and describe...
Shodor Education Foundation
Algebra Four
Everybody wins when you play Algebra Four. Players solve linear and quadratic equations to earn pieces on the Algebra Four game. Make a row of four pieces and you win the game. But everyone gets practice with solving equations, so really...
Curated OER
Stretching the Quads
Explore parabolas in this algebra lesson with the graphing calculator. The class investigates what effects the changing of the parameters of the vertex form of a quadrati have to its graph. They find the zeros of a quadratic graphically...
College Board
Vectors: A Curriculum Module for AP® Calculus BC
It is all in a matter of time. The model curriculum module uses parametric equations and vectors to solve problems dealing with particle motion along a curve. At the beginning of the lesson, the unit reviews parametric equations and...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Curated OER
Affine Recurrence Plotter
Learners use the on-line affine recurrence plotter to graph equations. They work on-line to create graphs of trout in a trout pond and savings account balances when interest is compounded over time. Links to the four one-day lessons are...
Concord Consortium
Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
Curated OER
Scatterplots and Regressions
In this scatterplots and regressions worksheet, students solve 6 different types of problems related to graphing scatterplots and interpreting regressions. First, they create a scatterplot from the given data coordinates and then,...
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
Curated OER
Plugging Into The Best Price
Examine data and graph solutions on a coordinate plane with this algebra lesson. Young problem-solvers identify the effect of the slope on the steepness of the line. They use the TI to graph and analyze linear equations.
Curated OER
Graph Figures From Equations
Students explore the concept of graphing figures from equations. In this graphing activity, students use Microsoft Math to graph figures from equations and write equations from graphed figures.
EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
Curated OER
Parametrics 1
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.
Curated OER
Standard Linear Form
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Curated OER
Applied Mathematics I
In this applied mathematics worksheet, students solve 4 various sets of problems that include scalar equations, existence of solutions, and inverse problems. They determine the number of solutions of a problem shown and justify their...
Curated OER
Worksheet 13
In this math instructional activity, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
Curated OER
Math 53 - Midterm 1 Review
In this math worksheet, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
Curated OER
Projectile Motion Lab
In this physics worksheet, learners model the position, velocity and acceleration using mathematical formulas and a computer program. Then they interpret the parameters in each of the models. Students also complete the experiment and...
Curated OER
Worksheet 12
In this math activity, learners explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.