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Approximate the integral

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Presentation on theme: "Approximate the integral"— Presentation transcript:

1 Approximate the integral
Chapter 4.3 Riemann Sums and Definite Integrals 13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Warm Up Approximate the integral Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2 Approximate the integral
Chapter 4.3 Riemann Sums and Definite Integrals 13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Warm Up Approximate the integral Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4 x -2 4 7 9 f(x) 3 2 8 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. x -2 4 7 9 f(x) 3 2 8 Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5 x -2 4 7 9 f(x) 3 2 8 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. x -2 4 7 9 f(x) 3 2 8 Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6 x -2 4 7 9 f(x) 3 2 8 Width of base Average of heights
Chapter 4.3 Riemann Sums and Definite Integrals 13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Width of base Average of heights x -2 4 7 9 f(x) 3 2 8 Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. t 2 5 7 8 E(t) 4 13 21 23 Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. t 3 6 9 12 15 18 21 24 R(t) 1 2 4 8 16 22 26 28 29 t 3 6 9 12 15 18 21 24 R(t) 1 2 4 8 16 22 26 28 29 t 3 6 9 12 15 18 21 24 R(t) 1 2 4 8 16 22 26 28 29 t 3 6 9 12 15 18 21 24 R(t) 1 2 4 8 16 22 26 28 29 Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

10 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

11 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

12 Riemann Sums Worksheet
Chapter 4.3 Riemann Sums and Definite Integrals 13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Practice: Riemann Sums Worksheet Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

13 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

14 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

15 Chapter 4.3 Riemann Sums and Definite Integrals
13.0 Students know the definition of the definite integral by using Riemann sums. They use this definition to approximate integrals. Wednesday, February 27, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals


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