1. Plot These Points and then name each point with a positive radius

2. 11.1B POLAR COORDINATES GRAPHING – CARDIODS AND LIMACONS

3. Discovery

4. CARDIOIDS:

5. Cardiod Summary To Graph we need to: Find the max value of the function It will always pass thru the origin. Identify the symmetry of the function.

6. r θ Name____________________ Symmetry: _________________ Max: _____________ Min: _____________ y or x-int(s): _____________________

7. r θ Name____________________ Symmetry: _________________ Max: _____________ Min: _____________ y or x-int(s): _____________________

8. Limacon Graphing Activity Compare the graph’s and write down any observations.

9. Limacon Summary If “a” is larger there is NO LOOP If “b” is larger there is a LOOP If there is a loop the graph passes through the origin. How do we start the graph: Begin by finding the max and min value of the function. Identify the symmetry of the function.

10. LIMACON:

11. r θ Name______________________ Symmetry:_____________ Loop? ____________ Max: _______________ Min: _______________ y or x-int(s): _____________________

12. Name______________________ Symmetry:_____________ Loop? ____________ Max: _______________ Min: _______________ y or x-int(s): _____________________

13. Homework Graphing Worksheet.