Flipped Math
Calculus AB/BC - Exploring Accumulation of Change
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
Curated OER
Rate of Change
High schoolers observe and calculate slopes. In this algebra lesson, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Illustrative Mathematics
Battery Charging
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge? Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player is...
Curated OER
The Numbers Behind Hunger: Rate of Change
Explore the concept of world hunger by having students collect and graph 1990 world hunger statistics. They will analyze the data in order to determine how to decrease world hunger rates and try to determine problems and solutions of...
Curated OER
Rate of Change
In this rate of change worksheet, students determine the rate of change at a prescribed rate. This one-page worksheet contains 1 multi-step problem.
EngageNY
The Concept of a Function
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
Flipped Math
Calculus AB/BC - Can Change Occur at an Instant?
Be instantly transfixed by the idea of instantaneous rates of change. Scholars watch an informative video that introduces the fathers of calculus, Newton and Leibniz. They then learn about instantaneous rates of change by first...
Curated OER
Lesson #20 Rates of Change and Velocity
Pupils investigate speed. In this rate of change lesson plan, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the...
Curated OER
Changing Planet: Adaptation of Species (Birds and Butterflies)
A video about the impact of climate change on butterfly populations and a PowerPoint about butterfly and bird adaptations warm science learners up for the activity to follow. Using a variety of tools that reprsent unique styles of bird...
Curated OER
A Sweet Drink
Students investigate reaction rates. For this seventh or eighth grade mathematics lesson, students collect, record, and analyze data regarding how the temperature of water affects the dissolving time of a sugar cube. Studetns determin...
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Curated OER
The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
Curated OER
Algebra 1: Slope as Rate
Learners solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
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...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
Curated OER
Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, young scholars use specific functions on their calculators to create graphs...
Curated OER
Piecewise Linear Functions: Extending Stories to Graphs
Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...
Curated OER
Equations from Unit Rates
Your class can become linear equations masters, as they calculate the rate of change of a function. They observe different types of coordinates as they relate to a graph, then use the Ti-navigator to move the line around and draw...
Curated OER
Rate and Concentration
Experimental data for a chemical reaction is available in a table. Chemistry cohorts use critical thinking skills to analyze the data and answer questions about reaction rates and reaction order. This activity is neatly formatted,...
Curated OER
Focus on Economic Data: US Employment and the Unemployment Rate, March, 2012
Read all about the various types of unemployment and the United States is are currently at the low-point of an unemployment cycle. Kids examine what economic factors affect the unemployment rate, and what data shows for different US...
Curated OER
Rates of Chemical Reactions-The Iodine Clock Reaction
Students investigate the reaction rate of iodine and soluble starch. In this rates of chemical reactions lesson plan, students study the effects of varying concentrations of reactants and varying temperatures of reactants on the reaction...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
Climate Change in My City
Students investigate the climate changes occurring locally, regionally and globally over the last one hundred years. They brainstorm and predict whether the current year's weather was warmer or colder than last year then check the...
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