Curated OER
US Airports, Assessment Variation
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...
Radford University
Fuel Efficient Function Activity
Pupils research the five most fuel efficient vehicles of the same type and come up with a way to display the mile per gallon for each vehicle. After choosing a vehicle, scholars create graphs to display miles traveled given the amount of...
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...
West Contra Costa Unified School District
Linear-Quadratic Systems
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...
Curated OER
Keep it Bottled Up: Linear Rates of Pressure Increase
Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...
Curated OER
NUMB3RS Activity: Exponential Growth
Mathematicians investigate exponential growth by exploring two different options for receiving allowance. Learners use technology to compare a linear function with a constant rate of growth to a function that grows exponentially where...
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Curated OER
Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
Mathematics Vision Project
Module 4: Linear and Exponential Functions
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways to bring...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
Kenan Fellows
Applying Linear Regression to Marathon Data
It's not a sprint, it's a marathon! Statistic concepts take time to develop and understand. A guided activity provides an opportunity for individuals to practice their linear regression techniques in spreadsheet software. The activity...
Teach Engineering
Club Function
Let's get the herd to follow the rules. The activity associated with the second lesson in the unit introduces the class to the definition of a function. Individuals must gather in groups of zebras and rhinos defined by the general...
Curated OER
More Complicated Functions: Introduction to Linear Functions
High schoolers explore the concept of linear functions. In this linear functions instructional activity, students translate linear functions from tables to graphs to equations. High schoolers use an applet to write a function rule for...
Curated OER
Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.
Curated OER
What's My Rule? Simple Linear Functions
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
Curated OER
Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...
Curated OER
Patterns and Linear Functions
Students investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
EngageNY
Linear and Exponential Models—Comparing Growth Rates
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
National Council of Teachers of Mathematics
Geogebra: Residuals and Linear Regression
If the line fits, use it. Using a Geogebra interactive, pupils plot points and try to find the best fit line. They assess the linear fit by analyzing residuals. A radio button allows participants to show the regression line and the...