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...
EngageNY
Analyzing a Data Set
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 to...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear, exponential...
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.
Google
Probability Project: Design Your Own Game
Designing a game is the focus of this probability lesson. Groups develop and build a unique game, including directions for how to play, a calculation of the expected value of winning, and a personal reflection. The plan provides a rubric...
WindWise Education
When is a Wind Farm a Good Investment?
When will a wind farm pay for itself? Individuals calculate the anticipated annual revenue for two proposed wind farms. By comparing the number of years it takes to pay back the initial investment, they determine which site makes the...
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
EduGAINs
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there is...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
EngageNY
Exponential Decay
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Federal Reserve Bank
Purchasing a Vehicle
Start your engines! Prevent negative car buying experiences by arming pupils with information. Prepare your young drivers to make informed decisions when they are ready to purchase a car. All aspects are considered from the type of car...
Federal Reserve Bank
Cash Flow and Balance Sheets
What is your car worth? How much do you owe? Individuals create their personal cash flow and balance sheets. They learn the difference between an asset and liability using their personal information to complete the activity.
EngageNY
Federal Income Tax
Introduce your class to the federal tax system through an algebraic lens. This resource asks pupils to examine the variable structure of the tax system based on income. Young accountants use equations, expressions, and inequalities to...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
As a continuation of a previous lesson, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds. Notation...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
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 graph...
Teach Engineering
Energy Forms and States Demonstrations
Does a tennis ball have energy? What about a bowling ball? Demonstrate concepts of different forms of energy forms and states with a variety of objects. Using the equations for potential and kinetic energy, learners determine the amount...
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...
Teach Engineering
Pointing at Maximum Power for PV
Following detailed directions, teams collect the voltage and current outputs of a photovoltaic cell by adjusting the resistance. Using the collected data, they determine the highest power output. Implications for weather and a large...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Firelands Local Schools
Exponential Growth and Decay
How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator to the data...