Curated OER
Motion in a Circle
High schoolers study about deriving centripetal acceleration for motion at constant speed around a circle.
Curated OER
Curve Sketching
In this calculus instructional activity, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
Curated OER
Pendulum Motion
Students explore questions which cannot be handled with simple pendulums, and examine both the usefulness and the limitations of approximations in science. A Java applet created from a Stella model is included.
US Department of Energy
Thermodynamics—Teacher Guide
I'm so cool! No, you're exothermic. This thermodynamics lab unit includes an introduction, teacher demonstrations, six labs that students rotate through each class day, homework assignments, application of knowledge, and...
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 1)
Looking for performance tasks to incorporate into your units? With its flexibility, this resource is sure to fit your teaching needs. Use this module as a complete assessment of graphing linear scenarios and polynomial operations, or...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
EngageNY
Rearranging Formulas
Model for your learners that if they can solve an equation, they can rearrange a formula with a well-planned lesson that has plenty of built-in practice. As the lesson progresses the content gets progressively more challenging.
EngageNY
Solving Exponential Equations
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
EngageNY
Transformations of the Quadratic Parent Function
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the instructional activity, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in...
National Institute of Open Schooling
Ionic Equilibrium
Scientific studies show the older we get, the more acidic we become. The activity extensively teaches high schoolers about acids and bases. By the end of the 14th installment of 36, they can define and explain three concepts of...
EngageNY
Graphs of Exponential Functions
What does an exponential pattern look like in real life? After viewing a video of the population growth of bacteria, learners use the real-life scenario to collect data and graph the result. Their conclusion should be a new type of...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
Mid-Module Assessment Task - Algebra 1 (Module 3)
Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
Curated OER
Spectral Lines
Slides and slides of emission spectra bring this topic to light for your physics class! Exited electrons returning to lower energy levels is offered as the cause of emission spectra. In summary, viewers learn that we can determine the...