EngageNY
When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
Virginia Department of Education
Quadratic Modeling
Use a one-stop resource for everything you'd possibly want to teach about quadratic functions and models. Scholars analyze key features of quadratic functions as well as transformations of functions through seven activities....
EngageNY
Wishful Thinking—Does Linearity Hold? (Part 1)
Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Virginia Department of Education
Exponential Modeling
Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
West Contra Costa Unified School District
Standard Form of Conics
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan notes, or...
Curated OER
The Very Hungry Caterpillar
A good book deserves to be followed up by a good worksheet. Here is a great resource which is intended for use after reading The Very Hungry Caterpillar by Eric Carle. It includes several activity ideas that promote skill development in...
Discover Earth
Weather Stations
Transform your classroom into a fully functioning weather station with this series of hands-on investigations. Covering the topics of temperature, precipitation, wind patterns, and cloud formation, these activities engage young...
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...
Teach Engineering
Photosynthesis—Life's Primary Energy Source
Wouldn't it be great if you could produce your own food? Scholars learn about the processes of photosynthesis and cellular respiration in plants. They consider how to use photosynthesis as a model of an efficient system and how to apply...
Teach Engineering
Exploring Energy: Kinetic and Potential
The potential of the energy in the class is moving. The third segment in a six-part unit on energy provides a deeper understanding of kinetic and potential energy. Learners understand the relationship between mass, speed, and energy and...
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Kenan Fellows
Unit 1: Introduction to Biotechnology
Biotechnology is big! Introduce the uses of biotechnology to science scholars with a fascinating, fact-filled unit. The first installment in a series of four biotechnology units covers the role biotechnology plays in human and...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 2
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
University of Minnesota
Homeostasis of Thermoregulation
Whether you're battling the flu or trying to warm up on a chilly day, your body's ability to react to temperature change is fascinating! Anatomy scholars discover the fantastic feedback loops that control body temperature in a rigorous...
Constitutional Rights Foundation
Special Order 40
The city of Los Angeles' 1979 Special Order 40 states: "LAPD officers shall not initiate police action with the objective of discovering the alien status of a person." After reading a fact sheet that details the history of Special Order...
West Contra Costa Unified School District
Solving Quadratic Equations – Alternative Methods
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Constitutional Rights Foundation
Guest-Worker Program
The U.S. Guest-Worker Program and the H-2A visa are the focus of a social studies activity. First, class members assume the role of advisors who must present the president with four proposals that would amend the visas given to...