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.
Curated OER
Mathematical Modeling and constant Rate Equations
In this rates learning exercise, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
Virginia Department of Education
The Submarine
Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.
Alabama Learning Exchange
Investigating School Safety and Slope
Learners investigate the slope of various stairways through a "news report" approach and employ mathematical knowledge of applied slope to report on wheelchair accessibility and adherence to Americans with Disabilities Act. They...
Curated OER
Introducing Linear Terminology
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept
of lines. They use linear equations to model real data and define to define the...
Curated OER
Mathematical Modeling
Study various types of mathematical models in this math lesson. Learners calculate the slope to determine the risk in a situation described. They respond to a number of questions and analyze their statistical data. Then, they determine...
Curated OER
Analytic Geometry
In this analytic geometry worksheet, 9th graders graph and solve 13 different types of problems that include determining whether equations are linear to matching given equations to their corresponding equation in the second column....
Curated OER
Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
Curated OER
Juggling Slopes
Students identify the slope of a line. In this algebra instructional activity, students label slopes as positive, negative, zero or undefined. They use the slope formula to find the slope algebraically and graphically.
Curated OER
A Steep Hike
Students explore slope. In this middle school mathematics lesson, students analyze and interpret graphs as they investigate slope as a rate of change. Students use a motion detector to collect data as they walk at different speeds and...
Curated OER
Algebra I: Linear Functions
Using rates from a rental car company, young mathematicians graph data, explore linear relationships, and discuss the role of slope and the y-intercept. This lesson allows for the discussion of independent and dependent variables, as...
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Curated OER
Taking Its Toll
Students explore ratios. In this rates instructional activity, students create a ratio to compare the price of a toll to the distance travelled. They compute the average cost per mile, determine the slope between two ordered pairs, and...
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Illustrative Mathematics
Velocity vs. Distance
At the end of this activity, your number crunchers will have a better understanding as to how to describe graphs of velocity versus time and distance versus time. It is easy for learners to misinterpret graphs of velocity, so have them...
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Curated OER
Review Linear Equations
Explore algebra I/algebra II with this series of worksheets. Pupils write linear equations in slope-intercept and standard form, graph linear equations, and apply linear equations to real world applications. The six-page learning...
Curated OER
Drug Sales Soar - Rate of Change
In this prescription drug worksheet, learners answer short answer questions and create graphs on the sales of prescription drugs over a five year span. Students complete six questions.
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...
Virginia Department of Education
Equations of Lines
Scholars connect slope-intercept form and standard form to the values of m and b by first matching a set of cards that have slope-intercept form, standard form, values of m, values of b, and graphs of linear equations. They then play a...
101 Questions
Snow Day
Who doesn't like a snow day? Learners watch a snow accumulation over a span of 10 hours. They use that information to make a prediction of the total snow that fell during the 23-hour snowfall. Will it be enough to cancel school?
Georgetown University
Cup-Activity: Writing Equations From Data
Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...
Curated OER
Explain the Change
Twelfth graders complete research relating to population changes in counties/states in the U.S. from 1900 to 2000 and use the slope formula to determine the overall change in population for each of the ten decades. They present their...
Curated OER
Mini Examination #2 - Limits and Derivatives
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions. Students find the limits and derivatives of functions.