Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Bell Work
At your tables discuss your progress on The Radical POW
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Equaon of a Circle Centered at (a,b)
(x ‐ a)2 + (y ‐ b)2 = r2
This is called "Center‐Radius Form" Let's grade the worksheet!
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Center Raduis Form to Standard Form…
(x ‐ 1)2 + (y + 3)2 = 4
This is Center‐Radius Form Complete the mulplicaon, combine like terms, and set equal to 0.
Pracce using #2, 3, and 4 from the worksheet
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Review…
• Find “c” so that the quadrac expression could be wrien as a perfect square in the form Standard Form
x2 + 6x + c
Factored Form
(x + ___)2
x2 ­ 14x + c
(x ­ ___)2
x2 + 23x + c
(x + ___)2
x2 + 5/8x + c
(x + ___)2
compleng the square!
• This is called 10
Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Reverse the Process
What if we started with...
x2 + 8x + y2 + 10y + 4 = 0
How would we get to (x + ?)2 + (y + ?)2 = ?
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Work
• Move constant to the other side
• Complete both squares AND add extra values to other side
• Rewrite using perfect square notaon
• Idenfy Center and Radius
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Group Pracce…
• Complete the square to rewrite each of the following equaons Center Radius Form
(x ‐ a)2 + (y ‐ b)2 = r2
x2 ‐ 24x + y2 + 14y ‐ 32 = 0
x2 + 22x + y2 + 12y + 108 = 0
x2 ‐ 18x + y2 ‐ 10y + 93 = 0
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Group Pracce…
• Complete the square to rewrite each of the following equaons Center Radius Form
(x ‐ a)2 + (y ‐ b)2 = r2
x2 ‐ 24x + y2 + 14y ‐ 32 = 0
(x ‐ 12)2 + (y + 7)2 = 225
x2 + 22x + y2 + 12y + 108 = 0
(x + 11)2 + (y + 6)2 = 49
x2 ‐ 18x + y2 ‐ 10y + 93 = 0
(x ‐ 9)2 + (y ‐ 5)2 = 13
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Individual Pracce…
x2 + 6x + y2 + 26y + 162 = 0
x2 ‐ 30x + y2 ‐ 4y + 165 = 0
x2 y2 ‐ 18x + 26y + 210 = 0
Complete #5, 7, 8 from the Worksheet
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Worksheet
‐ Work INDIVIDUALLY to complete #5, 7 and 8 from your worksheet.
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Lines of Sight for Radius 6
Using the Handout...
Work at your tables to complete pg.58
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Orchard 21 ­ Block 21 ­ Transforming circle eq_Lines of Sight for radius 6.notebook
October 19, 2012
Homework
‐ POW Due 10‐23‐12
‐ Complete "Compleng the Square and Geng a Circle"
‐ Complete "Cylindrical Soda"
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