1. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Warm Up
Mr. Kalis is folding origami swans for a wedding. At noon, Mr. Kalis is folding at a rate of 80 swans per hour.
Estimate how many swans Mr. Kalis will have folded by 3pm.
It turns out that Mr. Kalis slows down his folding rate as time goes on. At 1:00pm he is folding at a rate of 60 swans per hour. Find a new estimate for how many swans Mr. Kalis will have folded by 3pm.
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2. Local Linear Approximation Tangent Line Approximation
Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Local Linear Approximation or
Tangent Line Approximation
0 course corrections
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3. Local Linear Approximation Tangent Line Approximation
Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Local Linear Approximation or
Tangent Line Approximation
with
1 course correction
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4. Local Linear Approximation Tangent Line Approximation
Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Local Linear Approximation or
Tangent Line Approximation
with
2 course corrections
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Build a slope field at the given points for the given differential equation.
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
Build a slope field at the given points for the given differential equation.
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
step 1 15
1.2
16.6 2
1.4 19
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

10. Euler’s Method of Approximation and Slope Fields
21.0 Students understand the algorithms involved in Simpson’s rule and Newton’s method. They use calculators or computers or both to approximate integrals numerically.
2/22/2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals