Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
Curated OER
Cardiac Output, Rates of Change, and Accumulation
Students explore rates of change. In this cardiac output lesson, students measure the amount of blood being pumped by a heart. They explore the flow rate and complete an accumulation and concentration problem. They analyze data, flow...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
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
Accumulation Functions as Antiderivatives
In this accumulation functions worksheet, students describe the graph of an accumulation function for a constant function. Students describe the link between the slope of the graph of the accumulation function and the value of the function.
Curated OER
Graphing Accumulation Functions
In this accumulation function worksheet, students find the graphical relationship between two functions. They describe the relationships between the graphs of a function when accumulation begins at 0 and at 2.
Curated OER
More On Accumulation Functions
In this math learning exercise, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
Curated OER
The Origin of Life
In this origin of life worksheet, students write answers to five questions. They describe characteristics of the first life forms and how scientists believe oxygen accumulated in the Earth's atmosphere.
Teach Engineering
The Great Pacific Garbage Patch
The Great Pacific Garbage Patch is one of several garbage patches around the world where garbage accumulates naturally. As part of a GIS unit that combines oceanography, environmental science, and life science, class members investigate...
Flipped Math
Calculus AB/BC - Unit 6 Review: Integration and Accumulation of Change
Sometimes it's important to stop and take the time to review. Pupils look back at the second half of the unit and consider what they have learned about integration. They complete a instructional activity of review problems that assesses...
Curated OER
Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
Curated OER
Introduction to Accumulation
In this math worksheet, students work in groups to estimate the area of the ellipses using the grids. Then they estimate the arclengths of the ellipses.
Curated OER
Evaluating Definite Integrals Using Accumulation
In this integral worksheet, students sketch functions and use their graph to evaluate functions. This two-page worksheet contains four multi-step problems.
Curated OER
Accumulation Functions and Definite Integrals
In this accumulation functions activity, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
Math Learning Center
Grade 2 Supplement Set A6 – Number and Operations: Money
Young scholars get familiar with money during this series of engaging math activities. A game has class teams accumulating money and using symbol and number cards to display their total amount correctly on a pocket chart. All the symbol...
PwC Financial Literacy
Saving and Investing: Investing for the Future
A fine activity on saving and investing is here for you and your middle schoolers. In it, learners explore the values of time and money, and discover how small amounts of money invested over time can grow into a large "pot of gold." They...
Outside Education
Water Cycle Adventure
Evaporation, transpiration, condensation, precipitation, accumulation. Steam, clouds, rain, lakes. Guide your class members on an imaginary journey through the water cycle with a water cycle adventure script.
Curated OER
A Lifetime of Savings
Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Curated OER
Using Series to Analyze Financial Situations: future Value
In this Algebra II/Pre-calculus worksheet, learners investigate a method of finding the accumulated value of an annuity by considering it a series. The eleven page worksheet contains explanation, examples, and twenty-three problems....
Curated OER
Glaciers Enrichment
For this glaciers enrichment worksheet, students complete 9 different descriptions of things related to glaciers. First, they define the zone of accumulation and the zone of ablation. Then, students describe the calving process and rock...
Curated OER
Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
Curated OER
Food Chains and Webs
In this food chains worksheet, students identify the producers and consumers in the given food chains and describe how contaminants can biologically accumulate. This worksheet has 4 short answer questions.
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