PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Illustrative Mathematics
Modeling London's Population
Looking at London's population from 1801–1961 in 20 year increments, high school mathematicians determine if the data can be modeled by a given logistic growth equation. They explain their thinking and determine the values of each...
Curated OER
Logarithmic Functions
Learners explore the characteristics of logarithmic functions and their relationship to exponential functions. Using the subscriber website Explorelearning.com, pupils observe changes in the input variable and its effect on the graph of...
Curated OER
Introduction to Solving Quadratic Equations by Factoring
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
Curated OER
Quadratics: Polynomial Form
Pupils determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
Curated OER
Quadratic Applications
In this quadratic applications worksheet, high schoolers complete graphs, charts, comparison charts, and more having to do with quadratic equations. Students complete 5 different activities.
Curated OER
Collecting And Fitting Quadratic Data
Students investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.
Curated OER
Ball Toss Activity
Pupils collect data from tossing a ball into the air. Using a data collection device, they graph the data, set a window, and analyze the height of the toss, how long the ball was in the air, etc. They then find an equation that models...
Curated OER
Leap Into Exponential Functions
Studens identify the properties of exponents. In this algebra lesson, students grapha nd solve equaitons of exponential functions. They add, subtract, multiply and divide using exponents.
Curated OER
The Football and Braking Distance: Model Data with Quadratic Functions
Students engage in a lesson that is about the concept of data analysis with the use of quadratics. They use a Precalculus text in order to give guidance for independent practice and to serve as a source for the teacher to use. The data...
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to solve problems...
Intel
Choreographing Math
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
Radford University
Business Ownership
Let's learn a little bit about business! Given information about a t-shirt company, young mathematicians explore the revenue, costs, profits, and future sales. They develop mathematical models for these quantities using linear,...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
101 Questions
Leap the Jeep
Will harm come to the child in the video? Find out by modeling the scenario mathematically! Learners represent the situation with a quadratic model before deciding on a maximum height and time the person is in the air. Too low or not...
Radford University
Midsummer Classic’s Homerun Derby
Hit a home run with your lessons. A two-part activity has learners explore quadratic equations that model the path of a baseball. They see how changing the initial speed of the ball affects its maximum height, maximum horizontal...
Curated OER
Functions and the Vertical Line Test
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
Curated OER
Polynomial Functions
Students explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation for each...
Curated OER
Composition of Functions
High schoolers solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using...
Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Students analyze data on debt and write an equation. In this statistics lesson plan, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts...
101 Questions
Stopping Distances
In 2016, one in every four fatal car crashes listed speeding as a contributing factor. Pupils view videos of a car trying to come to a quick stop from four different rates of speed. They use context clues to measure and determine the...