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...
Teach Engineering
Can You Resist This?
Some things are hard to resist. Small collaborative groups build circuits and calculate the voltage using Ohm's Law. Budding engineers explore the connection between the voltage across different resistors and linear functions with...
Mt. San Antonio Collage
Quadratic Equations and Their Applications
Show high schoolers there is more to quadratic functions than just formulas and parabolas. Connect the math to realistic application problems with a resource that has learners consider such situations as a ball hit in the air, the...
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
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.
Mt. San Antonio Collage
Quiz 2: Polynomials
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given zeros...
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question worksheet that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
NASA
Weightless Wonder
A video of the weightless wonder provides a setting for the math to follow. Groups analyze the graph of a quadratic function that models the path of the C-9 as it gives astronauts the experience of weightlessness. Using a graphing...
Illustrative Mathematics
As the Wheel Turns
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
NASA
Newton’s Cool in the Pool
Pupils work together to investigate the cooling of NASA’s Neutral Buoyancy Laboratory. Using data collected as the pool cooled, groups determine the values needed in Newton's Law of Cooling equation to model the situation. They...
Howard County Schools
To Babysit or Not to Babysit?
Would you work for a penny today? Use this activity to highlight the pattern of increase in an exponential function. Scholars compare two options of being paid: one linear and one exponential. Depending on the number of days worked, they...
Concord Consortium
Be Well
How much do you spend on healthcare each year? Data shows the expenditures in the US rise significantly each year. Young scholars use the data to calculate a rate of change over a 30-year period and look for—as well as provide— possible...
EngageNY
Relationships Between Two Numerical Variables
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this instructional activity on relationships between two...
NASA
Space Shuttle Ascent: Altitude vs. Time
How long did it take to get to that altitude? Using a Google Earth file, groups explore a space shuttle launch. Using a calculator, groups determine the function that models the altitude/time data from an actual launch. With the model in...
CPM
How to Recognize the Type of Graph from a Table
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written instructional activity. Learners decide the type of graph represented based on the differences in the function...
Education Development Center
Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
Del Mar College
Intermediate Algebra Assessment Review
Put on your Algebra cap because this review provides practice on topics such as linear equations, rational expressions, and function problems. All the questions are multiple choice, and while the focus is on a few main sections, there is...
SHS Algebra
Linear vs. Exponential Functions Tasks
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and others...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson plan are designed for business applications and require complex algebraic expressions.
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your learners' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
SHS Algebra
Transformations of Linear and Exponential Graphs
Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.
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