Curated OER
Secant and Tangent Lines
Twelfth graders recognize the use of the slope of the secant line and connect it with the graph of the secant line, as the secant line approaches the tangent line. They also recognize the two forms of the slope formula used and practice...
Curated OER
Exponential Functions
With this two-page resource, learners evaluate and graph exponential functions. There are 48 questions using logs and exponents as the parent function.
Curated OER
Easy Worksheet: Writing Equations of Functions
In this writing equations of functions instructional activity, learners solve 4 short answer problems. Students write equations of transformed parabolas and absolute value equations given a stretch/shrink factor and vertical horizontal...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The instructional activity introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both...
Mathematics Vision Project
Module 7: Trigonometric Functions, Equations, and Identities
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th instructional activity of a 16-part series. They use...
Curated OER
America Moves to the City (1865-1900)
Statistical data can show shifts in human populations without bias or a prescribed historical point of view. View bar graphs and charts that describe new influxes in urbanization, immigration, and suffrage by state during the turn of the...
Curated OER
Get a Leg Up
Traveling through space is an amazing experience, but it definitely takes a toll on the body. After reading an article and watching a brief video, learners perform an experiment that simulates the effects of zero gravity on the human body.
Curated OER
MT-A141 PreCalculus: Worksheet 6.4
In this precalculus learning exercise, students predict the graph of given functions and draw conclusions about each one. Students define a transformation, and determine the amplitude, period, phase shift and vertical shift of given...
Curated OER
Modeling With Circular Functions
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
PBS
Toothpicks and Transformations
High schoolers investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the...
Curated OER
Transformations of Functions 1
Learn how to solve problems with transformation. Students perform transformation on their graphs. Then, they use the TI to create a visual of the graph as it is moving along the graph.
Curated OER
Properties of Exponential Functions
In this algebra activity, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
Curated OER
Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
Curated OER
Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
Curated OER
Standard Form of Quadratic Functions
Learners 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
Shaky New Zealand
Students explore Earth science by building a model in class. In this tectonic plate lesson, students identify the impact tectonic shifts have on humans and animals and where the plates and faults lie under New Zealand. Students examine...
Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Curated OER
Quadratic Functions
Learners explore the concept of quadratic equations. In this quadratic equations worksheet, students determine what shifts of a parent graph will look like by describing in sentences. Learners factor quadratic expressions and solve...
Curated OER
Boomerang
Students explore the concept of boomerangs. In this boomerang instructional activity, students throw homemade boomerangs at different angles to record maximum distance and if it returned or not. Students collect their boomerang data then...
EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
EngageNY
Vectors in the Coordinate Plane
Examine the meaning and purpose of vectors. Use the instructional activity to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and...
Curated OER
The Speed of Galaxy Q2125-431
In this speed of a galaxy worksheet, students use a given equation for the speed of an object and they use the spectral lines for Hydrogen Alpha and Beta from the Seyfert galaxy to answer 6 questions. They determine the observed...