PBL Pathways
College Costs 2
What is the financial benefit for attending a community college for the first two years before transferring to a four-year college? The second part of the educational lesson asks young scholars to explore this question through data...
Curated OER
Rate Equations, Slope Functions and Concavity
In this rate equation worksheet, students identify an inflection value for given functions. They determine an expression that stultifies a given rate equation. This three-page worksheet contains definitions, explanations and examples. ...
Curated OER
Implicit Differentiation
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
Curated OER
Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Curated OER
Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
Curated OER
AP Chemistry-Chemical Kinetics
In this kinetics worksheet, students find rate laws of reactions, they determine rate constants, they find rate-determining steps of reactions, they find half-life's of reactions and they determine the overall order of reactions.
Curated OER
Mine Shaft Grade 8 Slope
Eighth graders investigate slopes using real life scenario. In this algebra lesson, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.
Curated OER
Determination of a Rate Law
High schoolers determine the rate law for a chemical reaction. They use graphical techniques in the analysis of experimental data.
BW Walch
Creating and Graphing Linear Equations in Two Variables
This detailed presentation starts with a review of using key components to graph a line. It then quickly moves into new territory of taking these important parts and teasing them out of a word problem. Special care is...
Curated OER
Worksheet 27 - Functions
In this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.
Curated OER
Slope Calculation
Middle schoolers practice calculating the slope of a line. They explain how the formula is derived and identify properties that are associated with positive, negative and undefined slopes. They complete an online activity as well.
Curated OER
Graph Your Motion
Students graph their linear equations. In this algebra lesson, students examine their lines and relate it to the slope or rate of change. They relate the steepness of the line to the slope being positive, negative or zero.
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,
National Council of Teachers of Mathematics
Varying Motion
For this secondary mathematics learning exercise, high schoolers collect data based on a person’s motion. From this data, learners create graphs comparing displacement, velocity, and acceleration to time. The five-page learning exercise...
EngageNY
Two Graphing Stories
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
Curated OER
Data
Students collect data from an experiment they perform. For this data lesson, students use multiple representations to solve practical problems; describe advantages and disadvantages of the use of each representation. Then, they evaluate...
Curated OER
Walking Home II
Students explore the relationship between distance and time. They analyze a situation involving distance traveled in a given period of time, represent the situation graphically and algebraically, and discuss the concept of slope as a...
Curated OER
Writing Equations from a Table
Learners use coordinates in a table to write equations. In this algebra lesson, students discuss rate of change as it relates to slope and x and y values. They plot the points from a table to graph their lines and write an equation for...
Curated OER
Carshop!
Students explore the concept of interest. In this interest lesson, students shop for cars and determine the payments and interest rates for various cars. Students use various websites to research cars and interest rates for car loans....
Curated OER
Is there Treasure in Trash?
More people, more garbage! Young environmentalists graph population growth against the amount of garbage generated per year and find a linear model that best fits the data. This is an older resource that could benefit from more recent...
PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
Alabama Learning Exchange
We Love to Graph!
Students experience graphing points. For this graphing points lesson, students play an on-line game where they must name 10 coordinate pairs correctly. Students play a maze game where they maneuver a robot using coordinate...
Curated OER
Introduction to Tangent Lines using the TI-Nspire
Young scholars make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
Curated OER
Parallel Lines and Properties of Slope
Students define functions to be graphed using the Y=key. They demonstrate how to set up a standard viewing screen using Zoom 6. They discuss and explore mathematical questions on a worksheet.