Mr Hickman's Class 2020-2021
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 Area Under a Curve Using Riemann Sums


Types of Problems:

LRAM, RRAM, MRAM, and Trapezoid Estimation of Area 

Additional Practice

kuta worksheet
answers on this file
worksheet 1
worksheet 2
answers on this file

Homework

2-25-19 HWK

Solutions

solutions 1-5
Solutions #6
solutions #7
solutions #8
solutions #9
Number 10 caused calculator to crash! 
​Look at Desmos link!

Video and other resources

Problem 1
problem 6
problem 2
problem 7
problem 3
problem 8
problem 4
problem 9
problem 5
problem 10

Notes and other stuff a web search found that may be helpful

notes on area under curve

Online Riemann Sum Calculators and Simulations​

all four rules widget

This widget approximates use all the rules LRAM, RRAM, Trapezoid, & Simpson's Rule

all four rules widget 2
trapezoidal Widget

This widget shows process too

Trapezoidal Rule


Formative Assessment 3-4-19

skills assessed: 
1) write a Riemann sum with subinterval of 1 with n rectangles and n trapezoid to approximate area under curve
2) write a Riemann sum with subinterval of  NOT 1 with n rectangles and n trapezoid to approximate area under curve
3-4-19 Formative
version 60.75
version 65.5
version 465.8

Formative Assessment 3-8-19
Skills Assessed:
1) LRAM/LRAM/MRAM/ Trapezoidal Approximation from table
2) LRAM/LRAM/MRAM/ Trapezoidal Approximation from function
3) Application of integrals related to product equals a total 
4) Composite Area with Integrals 
5) Notation used in Integration
6) Basic Operations in Integration

3-8-19 Formative
3-8-19 formative solutions

Additional Resources


Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you