Concord Consortium
Parameters and Clusters II
Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...
Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, young scholars read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Concord Consortium
Parameters and Clusters I
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
Yummy Math
Parametric Equations and a Heart
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
Curated OER
Investigating Equations of Lines
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
Curated OER
Real World Equations!
Help your math class "get the picture" in a quadratic equation lesson that integrates digital photography. Individuals take pictures to help them model the shape of an item or situation using algebraic equations. They discover how to...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Curated OER
Graph Dynamic Linear Equations
Students explore the concept of linear equations. In this linear equation lesson, students change parameters of an equation and notice the effect it has on its graph.
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change 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...
Curated OER
Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
Illustrative Mathematics
Buying a Car
Teenagers love to think about driving and buying their first car. The intent of this resource is to create an equation for the list price of a car and add the appropriate state tax. Once your teens understand the calculation, ask them to...
Curated OER
Math 214 Quiz 10 - Linear Systems
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
Curated OER
Math 214 Quiz 8 - Linear Systems
For this linear system worksheet, students consider the linear system under given parameters. They identify the solution set of a matrix under given cases. This two-page worksheet contains three problems.
Radford University
Rocket Quads
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
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 activity in a unit of 23. Scholars analyze basic hyperbolas and...
Curated OER
Introduction to Parametric Equations
Students write and solve parametric equations. In this algebra lesson, students find and eliminate parameter of equations. They graph parametric equations and analyze the graphs.
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis learning exercise, students solve systems of non-linear equations. Examples and explanation are provided. This two-page learning exercise contains approximately three problems.
Curated OER
Math 224: Review of Linear Systems
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
Curated OER
Investigating Velocity Effects at Takeoff
Young scholars use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and...
GeoGebra
Getting on the Right Wavelength
Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...
Illustrative Mathematics
How Many Leaves on a Tree? (Version 2)
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Illustrative Mathematics
Identifying Quadratic Functions (Vertex Form)
Pupils calculate the equation of a quadratic in vertex form from a specific graph and determine an equation that would fit the description of a parabola. The final question determines the individuals' understanding of the signs of the...