Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Lesson Plan
EngageNY

Graphs of Quadratic Functions

For Students 9th - 10th Standards
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
Lesson Plan
EngageNY

Analyzing a Data Set

For Teachers 9th - 10th Standards
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...
Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
Lesson Plan
Curated OER

Linear Programming

For Teachers 10th - 12th Standards
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming instructional activity, students discover how to graph inequalities and how to determine the algebraic...
Lesson Plan
Curated OER

Residential Power System

For Teachers 7th - 11th
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
Lesson Plan
Curated OER

Equal Factors Over Equal Intervals

For Teachers 9th - 12th Standards
Exponential functions and their growth rates are explored concretely using tables in a collaborative task. Then the successive quotient is explored algebraically.
Lesson Plan
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West Contra Costa Unified School District

Linear-Quadratic Systems

For Teachers 8th - 10th Standards
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
Lesson Plan
Curated OER

Your Father

For Teachers 9th - 12th Standards
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Lesson Plan
Curated OER

Substitution "Plugging In"

For Teachers 8th - 10th
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The lesson includes two application problems and...
Lesson Plan
Curated OER

Solving Equations Using Models

For Teachers 5th
Explore mathematics by analyzing images. As they view pictures on the SMART Board, individuals must write corresponding algebraic equations. They utilize models to visualize the math expressions.
Lesson Plan
Curated OER

US Airports, Assessment Variation

For Teachers 7th - 9th Standards
Determining relationships is all part of algebra and functions. Your mathematicians will decide the type of relationship between airports and population and translate what the slope and y-intercept represent. The problem is multiple...
Lesson Plan
Curated OER

Worksheet 1: Algebra and Inequalities

For Teachers 12th - Higher Ed
Challenge your students' algebra skills with this activity, which presents students with several types of problem sets, including solving inequalities, graphing, word problems, and a set of algebra problems that may or may not require...
Worksheet
Curated OER

Piecewise Practice Problems

For Students 10th - 12th
In this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 1)

For Students 10th - 12th Standards
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
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...
Lesson Plan
Illustrative Mathematics

Distance across the channel

For Teachers 7th - 9th Standards
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Lesson Plan
1
1
Curated OER

Latitude

For Teachers 9th - 12th Standards
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
Lesson Plan
2
2
Curated OER

Skeleton Tower

For Teachers 9th - 12th Standards
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
PPT
Curated OER

Fast Talker - Ch 2 project

For Teachers 8th - 9th
Tongue Twisters?!  Create scatter plot graphs based on timing fellow classmates saying tongue twisters.  Then investigate, display, and analyze the relationships based on functions.  Wrap up this activity by making a...
Lesson Plan
West Contra Costa Unified School District

Quadratic Equations — What We Know

For Teachers 8th - 10th Standards
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Lesson Plan
Curated OER

Real-World Linear Programming

For Teachers 9th - 12th Standards
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
Lesson Plan
Illustrative Mathematics

Foxes and Rabbits 1

For Teachers 7th - 9th Standards
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...