1. 1.) Does the train strike the car on the way to school?
Chapter 9.2
Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Warm Up VIII
1.) Does the train strike the car on the way to school?
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2. Do the two lines intersect?
Chapter 9.2
Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Do the two lines intersect?
Would two objects travelling on the paths collide?
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3. Chapter 9.2 Parametric Equations Monday, January 14, 2019
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4. The arrows add direction or “orientation”.
Chapter 9.2
Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. t 1 2 3
x(t)
y(t) t 1 2 3
x(t)
y(t) 4 6
The arrows add direction or “orientation”.
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5. The graphs are similar, but the second graph is “faster”.
Chapter 9.2
Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth. t 1 2 3
x(t) 6 9
y(t) 12 18 t 1 2 3
x(t)
y(t) t 1 2 3
x(t)
y(t) 4 6 t 1 2 3
x(t)
y(t)
The graphs are similar, but the second graph is “faster”.
The arrows add direction or “orientation”.
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6. Chapter 9.2 Parametric Equations Monday, January 14, 2019
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7. Chapter 9.2 Parametric Equations Monday, January 14, 2019
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8. theta pi/2 pi 3pi/2 x y theta pi/2 pi 3pi/2 x 2 -2 y
Chapter 9.2
Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
theta
pi/2 pi
3pi/2 x y
theta
pi/2 pi
3pi/2 x 2 -2 y
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9. Go to foo plot and play. Chapter 9.2 Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Go to foo plot and play.
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

10. Practice: Pg. 672 #1, 3-7, 18-20, 37 Chapter 9.2 Parametric Equations
6.0 Students find the derivatives of parametrically defined functions and use implicit differentiation in a wide variety of problems in physics, chemistry, economics, and so forth.
Practice:
Pg. 672 #1, 3-7, 18-20, 37
Monday, January 14, 2019
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals