1. Everyone needs to read pages 620 to 624 in the text book. Some of you did over the past two days. I am coming around to ask you questions about trigonometry
2. If you missed Monday and Tuesday class please work on page 624-625 1 through 9. Maybe one of your classmates can show you the notes and explain it to you. Here also are some wonderful video to help you understand what trigonometry is.
3. If you didn't missed any classes this week, work on problems 14 to 22 page 625.
4. In the middle of class, I want to do problems 10 to 13 on page 625 for everyone with a short lecture about inverse trigonometric functions.
5. If you get that far, start word problems on page 628 1 through 6.
Homework is to finish every problem on pages 624 and 625, then do problems 8 through 10 on page 629.
Trigonometry is such a wonderful area of mathematics! I know you will all do well!!!
Wednesday, April 29, 2009
Monday, April 27, 2009
April 27th, 2009
Trigonometric Ratios
1. Read pages 620 to 624. Talk with your partner and come up with a definition of "Trigonometry."
2. Use Activestudio to do the investigation on page 622. Here, watch me do it.
3. Now use a graphing calculator or the laptop calculator and explore the buttons sin, cos and tan. Can anyone guess what tan(-1), cos(-1) and sin(-1) is?
4. Do problems 1 through 13 on pages 624 to 625.
1. Read pages 620 to 624. Talk with your partner and come up with a definition of "Trigonometry."
2. Use Activestudio to do the investigation on page 622. Here, watch me do it.
3. Now use a graphing calculator or the laptop calculator and explore the buttons sin, cos and tan. Can anyone guess what tan(-1), cos(-1) and sin(-1) is?
4. Do problems 1 through 13 on pages 624 to 625.
Friday, April 24, 2009
Friday, April 17, 2009
Wednesday, April 15, 2009
Wednesday, April 15th, 2009
1. Warm-up: Read pages 572 to pages 574 in the textbook.
2. Using activestudio, do investigations 1, 2 and 3 on page 572 to 574. Fill in the conjectures:
AA Similarity Conjecture: If ____________ angles of one triangle are congruent to ___________ angles of another triangle, then _________________.
SSS Similarity Conjecture: If the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are _____________________.
SAS Similarity Conjecture: If two sides of one triangle are proportional to two sides of another triangle and ______________, then the ______________________.
Shanice B. in first period was the first student to answer conjecture C-93 at the conclusion of investigation 1. Good job Shanice!
Do problems 1-15 on page 575 odd. 1-15 even is homework.
2. Using activestudio, do investigations 1, 2 and 3 on page 572 to 574. Fill in the conjectures:
AA Similarity Conjecture: If ____________ angles of one triangle are congruent to ___________ angles of another triangle, then _________________.
SSS Similarity Conjecture: If the three sides of one triangle are proportional to the three sides of another triangle, then the two triangles are _____________________.
SAS Similarity Conjecture: If two sides of one triangle are proportional to two sides of another triangle and ______________, then the ______________________.
Shanice B. in first period was the first student to answer conjecture C-93 at the conclusion of investigation 1. Good job Shanice!
Do problems 1-15 on page 575 odd. 1-15 even is homework.
Tuesday, April 15th, 2009
No laptops today, but the lesson went well in all classes. Each class came up with their own definitions of similar polygons:
1. "They have the same number of sides."
2. "They have the same shape."
3. "One is bigger, one is smaller."
4. "It doesn't matter if they are spun or flipped."
5. "All the angles have to be the same."
6. I then had to give everyone the following point:
"The sides will be in proportion to one another."
To see this, measure any two sides on one hexagon and divide, then measure the same two corresponding sides on the other hexagon and divide, you will get the same value. Now we see why we did all that algebra during Monday's class.
Homework due Wednesday morning is 10-14 on page 568 to page 569.
NOT ENOUGH STUDENTS DID THE HOMEWORK DUE THIS MORNING! We are back in the full swing of things, spring break is over! Let's get to work! Benchmarks test again in May!
Monday, April 13, 2009
Monday, April 13th, 2009
In class today we covered pages 560 and 561. Homework was 561 problems 2-12 even.
Friday, April 3, 2009
Wednesday, April 1, 2009
April 1st, 2009
1. Test tomorrow! Get ready! The number one thing you will need to remember for the test is that if you have a quadratic equation with real coefficients and a negative discriminate then the roots will be imaginary conjugates. The second thing you will need to know is today's date.
2. The formula for the volume of a sphere is V=(4/3)πr^3. Watch this video.
3. The formula for the surface area of a sphere is A=4πr^2. Watch this video.
4. Now explore this applet.
5. Now solve problems 1 through 6 on page 547 to 548. Homework is problems 7, 8 and 9.
6. Some of you may ask the question, how do we know that these formulas are true. Our textbook Discovering Geometry relies upon experimentation to show that these formulas are true. But there is another way, see here.
2. The formula for the volume of a sphere is V=(4/3)πr^3. Watch this video.
3. The formula for the surface area of a sphere is A=4πr^2. Watch this video.
4. Now explore this applet.
5. Now solve problems 1 through 6 on page 547 to 548. Homework is problems 7, 8 and 9.
6. Some of you may ask the question, how do we know that these formulas are true. Our textbook Discovering Geometry relies upon experimentation to show that these formulas are true. But there is another way, see here.
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