1. Warm-up Read page 475 to 476
2. Do investigation 1 on page 475. Use geogebra or activestudio. Fill in the blank on conjecture 475: Isosceles Right Triangle Conjecture: In an isosceles right triangle, if the legs have length l, then the hypotenuse has length_______.
3. Do investigation 2 on page 476. Use geogebra or activestudio. Fill in the blank on the conjecture: 30-60-90 Triangle Conjecture: In a 30-60-90 triangle, if the shorter leg has length a, then the longer leg has length _____ and the hypotenuse has length _____.
4. Classwork 1 through 11, homework 12 and 13 page 478.
Wednesday, April 29, 2009
Monday, April 27, 2009
April 27th, 2009
1. Warm-up Read page 462 to 464. Talk to a partner, can you explain what the pythagorean theorem is?
2. Use activestudio to show evidence that the pythagorean theorem is true. Put a grid on the screen and make a right triangle with two sides with measures 6 and 8 or 9 and 12 or 5 and 12. Then, construct squares on each side. Then rotate the diagram and see that a^2 + b^2 = c^2.
Look at this video when you are finished.
3. Classwork 1 though 11 page 465.
Homework 12 to 16. If you need to, write these problems down. Otherwise, I'll post them here.
12. A basball infield is a square, each side measuring 90 feet. To the nearest foot, what is the distance from home plate to second base?
13. The diagonal of a square measures 32 meters. What is the area of the square?
14. What is the length of the diagonal of a square whose area is 64 cm squared?
15. The length of the three sides of a right triangle are consecutive integers. Find them.
16. A rectangular garden 6 meters wide has a diagonal measureing 10 meters. Find the perimeter of the garden.
2. Use activestudio to show evidence that the pythagorean theorem is true. Put a grid on the screen and make a right triangle with two sides with measures 6 and 8 or 9 and 12 or 5 and 12. Then, construct squares on each side. Then rotate the diagram and see that a^2 + b^2 = c^2.
Look at this video when you are finished.
3. Classwork 1 though 11 page 465.
Homework 12 to 16. If you need to, write these problems down. Otherwise, I'll post them here.
12. A basball infield is a square, each side measuring 90 feet. To the nearest foot, what is the distance from home plate to second base?
13. The diagonal of a square measures 32 meters. What is the area of the square?
14. What is the length of the diagonal of a square whose area is 64 cm squared?
15. The length of the three sides of a right triangle are consecutive integers. Find them.
16. A rectangular garden 6 meters wide has a diagonal measureing 10 meters. Find the perimeter of the garden.
Friday, April 24, 2009
Thursday, April 23, 2009
Friday, April 17, 2009
Monday, April 13, 2009
Monday, April 13th, 2009
1. Welcome back from Spring Break!
2. Please read 306 in the textbook to warm-up. Can you answer the questions? #1 is f.
3. Lots of investigations to do today. Work with a partner. Talk about geometry. Use geogebra to explore the concepts. We will share out as class progresses. It is very important to stay focused and work hard.
4. Investigation results:
Investigation 1 on page 307:
Define a central angle: A central angle has its vertex at the ____________________.
Define an inscribed angle: An inscribed angle has its vertex on the ___________________
and its sides are _____________.
Investigation 2 on page 307. Use geogebra. Carefully follow all the steps. Fill in the blank:
Chord central angles conjecture: If two chords in a circle are congruent, then they determine two central angles that are _____________.
Chord arcs conjecture: If two chords in a circle are congruent, then their _________________ are congruent.
Investigation 3 on page 309. Use geogebra. Fill in the blank:
Perpendicular to a chord conjecture: The perpendicular from the center of a circle to a chord is the ______________ of the chord.
Chord distance to center conjecture: Two congruent chords in a circle are ________________ from the center of the circle.
Investigation 4 on page 309. Use geogebra. Fill in the blank:
Perpendicular bisectors of a chord conjecture: The perpendicular bisector of a chord ___________________________________________.
5. Do question 1 through 9 on page 310 for homework.
2. Please read 306 in the textbook to warm-up. Can you answer the questions? #1 is f.
3. Lots of investigations to do today. Work with a partner. Talk about geometry. Use geogebra to explore the concepts. We will share out as class progresses. It is very important to stay focused and work hard.
4. Investigation results:
Investigation 1 on page 307:
Define a central angle: A central angle has its vertex at the ____________________.
Define an inscribed angle: An inscribed angle has its vertex on the ___________________
and its sides are _____________.
Investigation 2 on page 307. Use geogebra. Carefully follow all the steps. Fill in the blank:
Chord central angles conjecture: If two chords in a circle are congruent, then they determine two central angles that are _____________.
Chord arcs conjecture: If two chords in a circle are congruent, then their _________________ are congruent.
Investigation 3 on page 309. Use geogebra. Fill in the blank:
Perpendicular to a chord conjecture: The perpendicular from the center of a circle to a chord is the ______________ of the chord.
Chord distance to center conjecture: Two congruent chords in a circle are ________________ from the center of the circle.
Investigation 4 on page 309. Use geogebra. Fill in the blank:
Perpendicular bisectors of a chord conjecture: The perpendicular bisector of a chord ___________________________________________.
5. Do question 1 through 9 on page 310 for homework.
Thursday, April 2, 2009
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