Illustrative Mathematics
Tides
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful lesson that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or exponential....
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Howard County Schools
Getting Paid for School
What if you were paid to attend class? What kind of payment schedule would you choose? Learn how exponential functions will eventually exceed linear functions by comparing two different payment schedules for attending class.
101 Questions
Toothpicks
Analyze patterns and build functions. Young scholars work on their modeling skills with an inquiry-based lesson. After watching a video presentation of the problem, they write functions and make predictions.
PBL Pathways
Boogie Boards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Curated OER
Topic 3.5 & 3.6: Linear Programming
For this linear programming worksheet, learners define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
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 lesson plan on relationships between two numerical...
Concord Consortium
All-in-All Problems
Graphs, functions, symbols, and more! Use these strategies to model everything from the flow of a river to the number of cars passing a toll booth. Presented differently but solved similarly, learners consider five different scenarios...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Howard County Schools
Constant Rate Exploration
Question: What do rectangles and bathtub volume have in common? Answer: Linear equations. Learn how to identify situations that have constant rates by examining two different situations, one proportional and one not proportional.
Howard County Schools
Generous Aunt
Witness the power of exponential growth with an activity that investigates two different savings plans. Class members create tables of values to see how and when a savings plan increasing exponentially exceeds one increasing linearly.
EngageNY
Modeling with Exponential Functions
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
Curated OER
Linear and Quadratic Model, Data Modeling
Learners model quadratic and linear equations. In this algebra instructional activity, students solve word problems using equations. They create scatter plots and make predictions using correlations.
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...
American Statistical Association
How Tall and How Many?
Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.
Illustrative Mathematics
Delivering the Mail
A mail truck travels the same amount of miles per day. It will be up to your algebra learners to find an equation for this mailman’s truck. One needs a good understanding of rate of change and the initial value for this model. The...
Curated OER
Graphs involving Exponential Functions
In this algebra worksheet, students graph exponential functions and analyze it for growth and decay. There are 9 problems with an answer key.
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...