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National Council of Teachers of Mathematics
National Debt and Wars
Take a functional approach to the national debt. Learners collect information about the national debt by decade and plot the data. They determine whether an exponential curve is a good fit for the data by comparing the percent changes...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
Curated OER
Worksheet 2: Graphs, Functions and Derivatives
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
Curated OER
Geologic cross section of Manhattan, NYC
High schoolers draw an accurate geologic cross section by using a given data table. They relate the features of the cross section to geologic processes. Students then relate the characteristics of the bedrock to the architecture.
Curated OER
Lines, Lines, Everywhere
Students explore linear equation suing real life scenarios. In this algebra instructional activity, students find the slope and intercept of a line. They create table of values to plot their graph and draw conclusions.
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
Concord Consortium
Line of Sight
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
Curated OER
Latitude
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
Statistics Education Web
Saga of Survival (Using Data about Donner Party to Illustrate Descriptive Statistics)
What did gender have to do with the survival rates of the Donner Party? Using comparative box plots, classes compare the ages of the survivors and nonsurvivors. Using the same method, individuals make conclusions about the...
Curated OER
Graphing Lines
For this graphing lines worksheet, students graph lines that are in the point-slope form. They identify the y-intercept and the slope. They graph the equation of a line on a coordinate plane. This four-page...
Curated OER
Generate Measurement Data Word Problems
Using a set of simple data, learners create a line plot to organize the information. This data includes only single-digit numbers and the highest number is six. Because the answer is explained and illustrated at the bottom, project this...
EngageNY
Increasing and Decreasing Functions 1
Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.
Balanced Assessment
Getting Closer
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Balanced Assessment
Ford and Ferrari
Which is faster, a Ford or a Ferrari? The short assessment has pupils analyze graphs to determine the rates of change between the two. Individuals interpret the rates of change within the context of speeds of the cars and develop a map...
Curated OER
Reading and Sketching Graphs
For this graphs worksheet, students answer 15 multistep questions about graphs. Students determine distance traveled, time, velocity, and create scenarios to fit the graph.
Charleston School District
Sketching a Piecewise Function
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
Curated OER
James and the Giant Peach Plot Analysis
It's all about the plot, main events, and story mapping with this lesson. As the class reads the novel James and the Giant Peach, they create an excitement graph that actually charts key events and moments of excitement. After...
Curated OER
Worksheet 11 - Points of Discontinuity
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
Curated OER
Worksheet 10 - Limits
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Curated OER
Call it "Macaroni"
Who knew there were so many fun educational opportunities featuring pasta? Scholars read a brief informational text about the history of pasta (note that "macaroni" is spelled two different ways, so address this if kids are reading...
Curated OER
Spaghetti Graphs
Students work in pairs to test the strength of spaghetti strands. They collect and graph data to determine a line of best fit. Students create a linear equation to interpret their data. Based on the data collected, students predict...
Curated OER
Introduction to Tangent Lines using the TI-Nspire
Students 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.