Curated OER
Unit 3: Scientific Writing
Write-on! Demonstrate a writing model and support learners as they write an informational essay on a water resource issue of your (or their) choosing. The lesson plan provides a well-scaffolded summative writing...
Curated OER
Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Students explore the affects of changing parameters on the graph of the function.
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical 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
Vertex and Factored Form of Quadratic Functions
Students graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
Curated OER
Standard Form of Quadratic Functions
High schoolers factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
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.
Curated OER
Sinusoidal modelling of Canad'a youth cohorts
Pupils explore the general form of the sine equation. In this trigonometry lesson, students explore the relationship between the changing parameters and the graph of the sine equation. Pupils use data and a statistical...
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Curated OER
Investigating Velocity Effects at Takeoff
Students 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 inequalities.
Curated OER
Getting Started with the TI-Navigator™ System: What's My Line?
Learners analyze linear functions in this algebra activity. They explore the meaning of slope and the slope-intercept form of a line as they investigate the effect changing parameters on the graph of a linear function.
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
Curated OER
Polynomials: Factors, Roots and Zeroes
Students factor polynomial equations. In this algebra lesson, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
Teach Engineering
Penny Perfect Properties (Solid-Liquid Interations)
I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Curated OER
Length of an Arc
Students compute the length of an arc and each hypotenuse in the give figure, adding them up in the end. They then develop the formula for the arc length with respect to the x-axis and the y-axis. Students also develop a formula for the...
Curated OER
Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, learners solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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
Math 53 - Midterm 1 Review
In this math learning exercise, 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 instructional activity, students 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...