Welcome back from Winter Break! Our Benchmark test results are in and I am studying our results. Will talk to you guys tomorrow about it.
1. We need to wrap up chapter 5, so lets focus and work hard today.
2. Fill in the blank: Parallelogram opposite angles conjecture: The opposite angles of a parallelogram are _______________. In order to do this, construct a parallelogram on geogebra and measure the angles.
3. Fill in the blank: Parallelogram consecutive angles conjecture: The consecutive angles of a parallelogram are ___________________. (Remember that consecutive angles are next to each other.) Use the same parallelogram to figure this one out.
4. Fill in the blank: Parallelogram opposite sides conjecture: The opposite sides of a parallelogram are __________________. This time measure the length of the sides. Many of you should be able to figure this one out without even doing any work, the answer is obvious.
5. Fill in the blank: Parallelogram diagonals conjecture: The diagonals of a parallelogram __________________________________. Connect the opposite vertices with a diagonal and take measurements.
6. Fill in the blank: Double-edged straightedge conjecture: If two parallel lines are intersected by a second pair of parallel lines that are the same distance apart as the first pair, then the parallelogram formed is a _______________. See if you can create this on geogebra. The final answer is a not "square" however.
7. Fill in the blank: Rhombus diagonals conjecture: The diagonals of a rhombus are ___________________, and they ____________________________. Using a rhombus you've created on geogebra, connect the diagonals and measure angles and distances.
8. Fill in the blank: Rhombus angles conjecture: The _______________ of a rhombus ________________ the angles of the rhombus. Measure the angles.
9. Fill in the blank: Rectangle diagonals conjecture: The diagonals of a rectangle are _____________ and __________________. Make a rectangle, connect the opposite vertices, and measure angles and distances.
10. Fill in the blank: Square diagonals conjecture: The diagonals of a square are ______________, _______________ and ____________________. You should be able to figure this one out just by looking at all the work you've done to this point.
11. Homework: 1 through 6 on page 281, 1 through 11 on page 290.
Monday, January 4, 2010
Friday, May 29, 2009
Wednesday, April 29, 2009
April 29th, 2009
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.
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.
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
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