Inequalities and Triangles - Remember to study for the test tomorrow! Also, the last few assignments are due at that time, finish them up tonight if you want full credit for them.
1. Read 5-2
2. Gunnel Sally likes hanging out under the shade of the mizzensail after her shift of watch atop the high crow's nest, because there are fewer people at the back of the ship. Mostly just the captain and officers, who ignore her. One of the exterior angles of the triangular mizzensail measures 130 degrees. What interior angles is this angle definitely larger than? Justify your answer.
3. In 5-2, work problems 4-14 even, 22-26 even (remember angles that are part of another angle are by definition smaller than it), 32-40 even, 45, 56, 62-68 even.
Extra Credit: # 1, 16, 28, 46, 57, 58.
Thursday, December 17, 2009
Wednesday, December 16, 2009
Geometry: 5-1 (Wednesday)
Bisectors, Medians, and Altitudes - This and 5-2 will be on the test, keep updating your notes!
1. Read 5-1
2. The smells accompanying the captivity of over a hundred human beings are slowly washing out of the lower deck. One of the freed slaves, nicknamed Gunnel Sally by the ship's newly appointed captain, contemplates the triangular mizzensail. Three ropes run from its corners to a point near its center. After careful observation, Gunnel Sally notices that the ropes are all the same length. What is the name of their meeting point?
3. In 5-1, work problems 2-10 even (hint for 6: look at what you've learned about perpendicular bisectors. hint for 10: you will need to show that triangles EAD and EBD are congruent), 16-24 even, 34-38 ALL, 42, 46-54 even.
Extra Credit: # 14, 26-30 all.
1. Read 5-1
2. The smells accompanying the captivity of over a hundred human beings are slowly washing out of the lower deck. One of the freed slaves, nicknamed Gunnel Sally by the ship's newly appointed captain, contemplates the triangular mizzensail. Three ropes run from its corners to a point near its center. After careful observation, Gunnel Sally notices that the ropes are all the same length. What is the name of their meeting point?
3. In 5-1, work problems 2-10 even (hint for 6: look at what you've learned about perpendicular bisectors. hint for 10: you will need to show that triangles EAD and EBD are congruent), 16-24 even, 34-38 ALL, 42, 46-54 even.
Extra Credit: # 14, 26-30 all.
Tuesday, December 15, 2009
Geometry: 4-6 (Tuesday)
Isosceles Triangles Today! Take a second and see if you can remember the difference between Isosceles and Equilateral.
1. Open up Blackbeard's newly captured slave ship again in Sketchup. If the mizzensail (rear sail) is an isosceles triangle, then what can be said of the legs (the two long sides)? What can be said of the base angles (the two angles toward the back of the ship)?
2. Read 4-6
3. In 4-6, work problems 2-28 even, 44, 50, 52.
Extra Credit: # 30 (first step – congruent triangles), 34, 36, 38, 42.
1. Open up Blackbeard's newly captured slave ship again in Sketchup. If the mizzensail (rear sail) is an isosceles triangle, then what can be said of the legs (the two long sides)? What can be said of the base angles (the two angles toward the back of the ship)?
2. Read 4-6
3. In 4-6, work problems 2-28 even, 44, 50, 52.
Extra Credit: # 30 (first step – congruent triangles), 34, 36, 38, 42.
Monday, December 14, 2009
Geometry: 4-5 (Monday)
ASA and AAS Congruence
1. Read 4-5, and fill out your repertoire of different kinds of triangle congruence. Get this stuff in your notes! SSS, SAS, AAS, and ASA, along with other postulates and theorems that we're using.
2. Blackbeard was beaten back by the Spanish ships guarding Maracaibo, but luck favors the bold! He catches a slave ship transporting their human cargo to that city, and the entire crew surrenders! He maroons them on the Spanish Main (the mainland) and many of the slaves join him in piracy. NOTE: This part is historically realistic, although his assault on Maracaibo is not.
He fills the hold with cannon at the nearest pirate haven, and sails off. Let's take a look at the new ship. Download the pirate ship here and take a look at it in SketchUp.
This ship has three triangular sails stretched between the mainmast and foremast. If the points at which they attached to the mainmast form angles of 40 degrees and 100 degrees, what third piece of information would prove the triangles congruent?
3. In 4-5, work problems 4, 8, 18, 22-28 even, 32-40 even
4. ALSO read p. 214 "Congruence in Right Triangles" and work problems 1-5 as the last part of your assignment
Extra Credit: #14, 19, 29, p. 214 Congruence in Right Triangles #8 & 10
1. Read 4-5, and fill out your repertoire of different kinds of triangle congruence. Get this stuff in your notes! SSS, SAS, AAS, and ASA, along with other postulates and theorems that we're using.
2. Blackbeard was beaten back by the Spanish ships guarding Maracaibo, but luck favors the bold! He catches a slave ship transporting their human cargo to that city, and the entire crew surrenders! He maroons them on the Spanish Main (the mainland) and many of the slaves join him in piracy. NOTE: This part is historically realistic, although his assault on Maracaibo is not.
He fills the hold with cannon at the nearest pirate haven, and sails off. Let's take a look at the new ship. Download the pirate ship here and take a look at it in SketchUp.
This ship has three triangular sails stretched between the mainmast and foremast. If the points at which they attached to the mainmast form angles of 40 degrees and 100 degrees, what third piece of information would prove the triangles congruent?
3. In 4-5, work problems 4, 8, 18, 22-28 even, 32-40 even
4. ALSO read p. 214 "Congruence in Right Triangles" and work problems 1-5 as the last part of your assignment
Extra Credit: #14, 19, 29, p. 214 Congruence in Right Triangles #8 & 10
Friday, December 11, 2009
Geometry: 4-3, 4-4 (Friday)
More triangles! Today: Congruence, SSS and SAS Congruence
1. Read 4-3
2. In 4-3, work problems 4, 12, 20, 24, 30, 38
3. Read 4-4
4. Exploring the derelict vessel from last time, Spock finds a strange turbine, consisting of three blades. Each blade is a triangle with two long sides and a short side, and they're joined together at their smallest angle. If the long sides of each blade measure 1 meter and 1.5 meters, what other information would prove that all three blades are congruent?
5. In 4-4, work problems 2, 8, 9, 20-24 even, and 30.
Extra Credit: p. 199 Making Concept Maps 1-3, 4-4 problem 4, 9, and 19.
1. Read 4-3
2. In 4-3, work problems 4, 12, 20, 24, 30, 38
3. Read 4-4
4. Exploring the derelict vessel from last time, Spock finds a strange turbine, consisting of three blades. Each blade is a triangle with two long sides and a short side, and they're joined together at their smallest angle. If the long sides of each blade measure 1 meter and 1.5 meters, what other information would prove that all three blades are congruent?
5. In 4-4, work problems 2, 8, 9, 20-24 even, and 30.
Extra Credit: p. 199 Making Concept Maps 1-3, 4-4 problem 4, 9, and 19.
Wednesday, December 09, 2009
Geometry: 4-1 & 4-2 (Thursday)
Quiz Today!
Then on to Triangles:
1. Read 4-1
2. Betelgeuse, Bellatrix, and Rigel could be plotted at (-2, 5), (1,5), and (3,-3), respectively. These stars form a Bermuda triangle of the heavens (known as the Funkangulum), which Spock is the only organism to have entered and appeared outside again. What are TWO terms that apply to this triangle?
3. In 4-1, work problems 4, 7, 30, 44, 49.
4. Read 4-2
5. This time Spock is going to skirt around the Funkangulum. He travels from Betelgeuse to Bellatrix, and then turns toward Rigel. If the angle at Betelgeuse measures 40 degrees, and the angle at Rigel measures 20 degrees, how much did Spock turn at Bellatrix to head toward Rigel?
6. In 4-2, work problems 2-10 even, 36, 38, 48.
Extra Credit: 4-2 #12, 18-22 even, 45.
Then on to Triangles:
1. Read 4-1
2. Betelgeuse, Bellatrix, and Rigel could be plotted at (-2, 5), (1,5), and (3,-3), respectively. These stars form a Bermuda triangle of the heavens (known as the Funkangulum), which Spock is the only organism to have entered and appeared outside again. What are TWO terms that apply to this triangle?
3. In 4-1, work problems 4, 7, 30, 44, 49.
4. Read 4-2
5. This time Spock is going to skirt around the Funkangulum. He travels from Betelgeuse to Bellatrix, and then turns toward Rigel. If the angle at Betelgeuse measures 40 degrees, and the angle at Rigel measures 20 degrees, how much did Spock turn at Bellatrix to head toward Rigel?
6. In 4-2, work problems 2-10 even, 36, 38, 48.
Extra Credit: 4-2 #12, 18-22 even, 45.
Tuesday, December 08, 2009
Geometry: 3-6 (Wednesday)
Quiz tomorrow! The last couple assignments will be marked down after tomorrow, so get them in! You may want to talk to me about taking a book home.
Perpendiculars and Distance
1. Read 3-6
2. A derelict vessel is drifting toward a Vulcan mining station. Spock, having become aware of this danger, beams aboard the vessel, hacks the controls, and attempts to steer it away from the collision.
In the plane defined by the vessel's trajectory and the station, the vessel, starting at the origin (0,0) with a slope of ½, comes within mere meters of the station's fragile drill assembly, at (5,8). How close did it get?
3. In the book, work problems 2-14 even, 24, 34 - 44 even (draw 34!)
Extra Credit: Problems 18-22 even, 29, 30, 32.
Perpendiculars and Distance
1. Read 3-6
2. A derelict vessel is drifting toward a Vulcan mining station. Spock, having become aware of this danger, beams aboard the vessel, hacks the controls, and attempts to steer it away from the collision.
In the plane defined by the vessel's trajectory and the station, the vessel, starting at the origin (0,0) with a slope of ½, comes within mere meters of the station's fragile drill assembly, at (5,8). How close did it get?
3. In the book, work problems 2-14 even, 24, 34 - 44 even (draw 34!)
Extra Credit: Problems 18-22 even, 29, 30, 32.
Geometry: 3-5 (Tuesday)
How do you Prove that 2 Lines are Parallel?
1. Blackbeard's fleet of 7 assorted warships and refitted merchant ships arrives at Maracaibo, intent on a raid. However, the coast is protected by a line of Spanish war frigates, and behind them a fort wall with cannon poking out. Blackbeard approaches at a 45 degree angle to the line of ships. This also puts him at a 45 degree angle to the line of cannons. What is true about the two lines?
2. Read 3-5 and add a justification for what you said about the lines in part 1.
3. In the book, work problems 2-8 even, 16-20 even, 30, 34, 38, 40, 46-52 even, 64.
Extra Credit: Problems 10 (hint - start with postulate 3.4), 12, 22, 32, 36, and 42.
1. Blackbeard's fleet of 7 assorted warships and refitted merchant ships arrives at Maracaibo, intent on a raid. However, the coast is protected by a line of Spanish war frigates, and behind them a fort wall with cannon poking out. Blackbeard approaches at a 45 degree angle to the line of ships. This also puts him at a 45 degree angle to the line of cannons. What is true about the two lines?
2. Read 3-5 and add a justification for what you said about the lines in part 1.
3. In the book, work problems 2-8 even, 16-20 even, 30, 34, 38, 40, 46-52 even, 64.
Extra Credit: Problems 10 (hint - start with postulate 3.4), 12, 22, 32, 36, and 42.
Monday, December 07, 2009
Geometry: 3-4 (Monday)
Point-Slope Form and Slope-Intercept Form for Lines
1. Read 3-4
2. Captain Blackbeard's flagship has 65 hogsheads full of freshwater storage. If his crew consumes 2 hogsheads worth of water per day, write the equation for this consumption in slope-intercept form.
Head again to Google Earth and the Caribbean. Captain Henry Morgan sacked Maracaibo decades earlier, but Blackbeard thinks he can do it again. After filling his hogsheads full of freshwater in Santo Domingo, he sails south toward Maracaibo on the mainland. Using the coordinates of the two cities (to the nearest degree), find his course in point-slope form.
3. In the book, work problems 2-30 even, 36-42 even, 46, 47, 54-64, 69, and 70.
Extra Credit: Problems 31-33, 43, 44, 50-52, and the following:
If Blackbeard spots a merchant vessel ripe for plunderin', and sails off from Santo Domingo at a slope of -0.5 in search of it, where might he ultimately end up if he just keeps going? (pay attention to coordinates)
1. Read 3-4
2. Captain Blackbeard's flagship has 65 hogsheads full of freshwater storage. If his crew consumes 2 hogsheads worth of water per day, write the equation for this consumption in slope-intercept form.
Head again to Google Earth and the Caribbean. Captain Henry Morgan sacked Maracaibo decades earlier, but Blackbeard thinks he can do it again. After filling his hogsheads full of freshwater in Santo Domingo, he sails south toward Maracaibo on the mainland. Using the coordinates of the two cities (to the nearest degree), find his course in point-slope form.
3. In the book, work problems 2-30 even, 36-42 even, 46, 47, 54-64, 69, and 70.
Extra Credit: Problems 31-33, 43, 44, 50-52, and the following:
If Blackbeard spots a merchant vessel ripe for plunderin', and sails off from Santo Domingo at a slope of -0.5 in search of it, where might he ultimately end up if he just keeps going? (pay attention to coordinates)
Friday, December 04, 2009
Geometry: 3-3 (Friday)
Slopes of Lines
1. Read 3-3
2. Go to Google Earth and look southeast of the U.S. to the Caribbean again. Notice Kingston, in modern Jamaica, and Port-au-Prince, in modern Haiti. When Blackbeard sails his 7 free frigates from Kingston to Port-au-Prince, plundering merchant ships along the way, what is the slope of the line he makes? (note that at the bottom of the screen the latitude and longitude of your mouse is shown) When he flees from the Spanish Armada on the way back to Port-au-Prince from Kingston, what is the slope of that reverse course?
3. In 3-3, work problems 2-12 even, 16-22 even, 32-36 even, 40, 50-52 even, 56-60 even, 66-72 even
Extra Credit: Problems 24-30 even, 38, and 42-46 even
1. Read 3-3
2. Go to Google Earth and look southeast of the U.S. to the Caribbean again. Notice Kingston, in modern Jamaica, and Port-au-Prince, in modern Haiti. When Blackbeard sails his 7 free frigates from Kingston to Port-au-Prince, plundering merchant ships along the way, what is the slope of the line he makes? (note that at the bottom of the screen the latitude and longitude of your mouse is shown) When he flees from the Spanish Armada on the way back to Port-au-Prince from Kingston, what is the slope of that reverse course?
3. In 3-3, work problems 2-12 even, 16-22 even, 32-36 even, 40, 50-52 even, 56-60 even, 66-72 even
Extra Credit: Problems 24-30 even, 38, and 42-46 even
Thursday, December 03, 2009
Geometry: 3-1 & 3-2 (Thursday)
Parallel Lines, Transversals, and their Angles
1. Read 3-1
2. Go to Google Earth, and zoom in on the Caribbean (southeast of the United States). Blackbeard normally trades along the route from Kingston (in modern Jamaica) to Port-au-Prince (modern Haiti), but raids and plunders along the route from the pirate haven of Tortuga (just north of Port-au-Prince) to the pirate haven of Port Royal (just north of Kingston).
The route that the Spanish armada patrols runs from Spain through these two routes, threatening Blackbeard each time. Could the terms transversal, or parallel, or skew lines be applied to these routes? If yes, which routes? If not, why not?
3. In 3-1, work problems 2, 4, 10-16 even (see example 2 & 3), 46-50 even, 53, 54, and 60
4. Read 3-2
5. In 3-2, work problems 4-10 even, 32, 34, and 42
Extra Credit: 3-2 #26-30 even, 36, and 48
1. Read 3-1
2. Go to Google Earth, and zoom in on the Caribbean (southeast of the United States). Blackbeard normally trades along the route from Kingston (in modern Jamaica) to Port-au-Prince (modern Haiti), but raids and plunders along the route from the pirate haven of Tortuga (just north of Port-au-Prince) to the pirate haven of Port Royal (just north of Kingston).
The route that the Spanish armada patrols runs from Spain through these two routes, threatening Blackbeard each time. Could the terms transversal, or parallel, or skew lines be applied to these routes? If yes, which routes? If not, why not?
3. In 3-1, work problems 2, 4, 10-16 even (see example 2 & 3), 46-50 even, 53, 54, and 60
4. Read 3-2
5. In 3-2, work problems 4-10 even, 32, 34, and 42
Extra Credit: 3-2 #26-30 even, 36, and 48
Monday, November 30, 2009
Geometry:2-7 & 2-8 (Monday)
First of all, remember there's a test tomorrow! Make sure your notes are up to speed, because you can use them on the test. (for anyone who still hasn't put together their geometry notebook, today is the day!)
Now, the assignment:
1. Read 2-7
2. Back to the SketchUp and the frigate. You can download it here if you don't have it on your computer. Look at the mizzen (rear) mast. If you count the very bottom and very top of the mast, and all the joints in between, there are 5 “points” on the “line” of the mast, which we can call A, B, C, D, and E.
If BC = DE, formally prove that BD = CE.
3. Do problems #4-10 even, 26, 30, 34, 38, and 44
4. Read 2-8
5. Back to the frigate. If the top of the sail behind the mizzen mast is a segment CF, and the measure of angle FCD is 55 degrees, find the measure of angle FCB, justifying each step.
6. Do problems #4-8 even, 12-16 even, 24, 28-34 even, 40, and 44
E.C. Problems 41 & 42, and the following 2 questions:
What theorem from this section helps us solve problem 40?
The snake and the clearwater don't really form supplementary angles, but if they did, the acute angle would measure around 70 degrees. What would the obtuse angle measure?
Now, the assignment:
1. Read 2-7
2. Back to the SketchUp and the frigate. You can download it here if you don't have it on your computer. Look at the mizzen (rear) mast. If you count the very bottom and very top of the mast, and all the joints in between, there are 5 “points” on the “line” of the mast, which we can call A, B, C, D, and E.
If BC = DE, formally prove that BD = CE.
3. Do problems #4-10 even, 26, 30, 34, 38, and 44
4. Read 2-8
5. Back to the frigate. If the top of the sail behind the mizzen mast is a segment CF, and the measure of angle FCD is 55 degrees, find the measure of angle FCB, justifying each step.
6. Do problems #4-8 even, 12-16 even, 24, 28-34 even, 40, and 44
E.C. Problems 41 & 42, and the following 2 questions:
What theorem from this section helps us solve problem 40?
The snake and the clearwater don't really form supplementary angles, but if they did, the acute angle would measure around 70 degrees. What would the obtuse angle measure?
Monday, November 23, 2009
Geometry: 2-6 (Monday before Thanksgiving)
First: Too many properties! Time to start a binder for all these, and some other notes we'll have throughout the quarter. Get a binder from the science room, they're next to the geometry books. We're sharing notebook paper with Government, so if you need some get it from the bin marked American Government.
Start taking notes - you'll at least want the statement types from p.77, and note down the properties from 2-5 and 2-6 as you read it. Anything in here can be used on the tests, and we'll have our first test next week!
Read 2-6 and note down those properties!
Compost Math: Last time, Algebra 1 students used the formula (100 x 15% + H x 40%) / (100 x 1.5% + H x 1%) = 30/1 which can also be written (15 + 0.4H) / (1.5 + 0.01H) = 30 to find how many grams of hay (H) per 100 grams of kitchen scraps would be needed to get the carbon/nitrogen ratio in the compost to 30:1 (30 grams of carbon/1 gram of nitrogen).
They found that 300 grams would be needed for 100 grams of scraps, which is a lot! We might need newspaper instead...
What I want you to do is to create a formal (two-column) proof to show that H=300. Start with one of the formulas above, and use the properties from 2-6.
Then move on to these problems: #4, 6, 10, 14-24 even, 30, 32, 38-44 (40 & 42 explain in terms of conditionals and laws), 50, 52.
Extra credit: 26, 28, 34, and 35.
Start taking notes - you'll at least want the statement types from p.77, and note down the properties from 2-5 and 2-6 as you read it. Anything in here can be used on the tests, and we'll have our first test next week!
Read 2-6 and note down those properties!
Compost Math: Last time, Algebra 1 students used the formula (100 x 15% + H x 40%) / (100 x 1.5% + H x 1%) = 30/1 which can also be written (15 + 0.4H) / (1.5 + 0.01H) = 30 to find how many grams of hay (H) per 100 grams of kitchen scraps would be needed to get the carbon/nitrogen ratio in the compost to 30:1 (30 grams of carbon/1 gram of nitrogen).
They found that 300 grams would be needed for 100 grams of scraps, which is a lot! We might need newspaper instead...
What I want you to do is to create a formal (two-column) proof to show that H=300. Start with one of the formulas above, and use the properties from 2-6.
Then move on to these problems: #4, 6, 10, 14-24 even, 30, 32, 38-44 (40 & 42 explain in terms of conditionals and laws), 50, 52.
Extra credit: 26, 28, 34, and 35.
Friday, November 20, 2009
Algebra 1A & 1B (Friday)
Before you get started on your MyMathLab work, check out these Carbon/Nitrogen Ratios. At the top it says that a 30:1 ratio is best for compost, in other words, 30 parts carbon to every 1 part nitrogen. We'll be composting kitchen scraps, and notice that "kitchen scraps" near the bottom is 10-20% carbon and 1-2% nitrogen (too little carbon).
Let's assume our kitchen scraps going into our compost will be around 15% carbon and 1.5% nitrogen. In other words, for 100 grams of scraps, 15 grams will be carbon and 1.5 grams will be nitrogen.
The ecology class identified nonlegume hay, wheat straw, and leaves as possible sources of carbon, to balance out the ratio. If we use hay, and assume it has 40% carbon and 1% nitrogen, we can write a formula to determine how many grams of hay to add to each 100 grams of scraps to get the right 30:1 ratio.
The formula ends up looking like this: (100 x 15% + H x 40%) / (100 x 1.5% + H x 1%) = 30/1 = 30
(H is grams of hay, 100 is grams of kitchen scraps, and carbon is on top, nitrogen on the bottom)
Use this formula to find how many grams of hay should be added (round to the nearest gram). The first step will be to multiply everything by the denominator (100 x 1.5% + H x 1%) Turn in your work and results to me, and we'll use them for the compost!
Let's assume our kitchen scraps going into our compost will be around 15% carbon and 1.5% nitrogen. In other words, for 100 grams of scraps, 15 grams will be carbon and 1.5 grams will be nitrogen.
The ecology class identified nonlegume hay, wheat straw, and leaves as possible sources of carbon, to balance out the ratio. If we use hay, and assume it has 40% carbon and 1% nitrogen, we can write a formula to determine how many grams of hay to add to each 100 grams of scraps to get the right 30:1 ratio.
The formula ends up looking like this: (100 x 15% + H x 40%) / (100 x 1.5% + H x 1%) = 30/1 = 30
(H is grams of hay, 100 is grams of kitchen scraps, and carbon is on top, nitrogen on the bottom)
Use this formula to find how many grams of hay should be added (round to the nearest gram). The first step will be to multiply everything by the denominator (100 x 1.5% + H x 1%) Turn in your work and results to me, and we'll use them for the compost!
Thursday, November 19, 2009
Geometry: 2-4, 2-5 (Friday)
First, read 2-4.
Spock, having thoroughly beaten the moon ninjas, basks in the accolades of his peers.
Uhura tells him the following: “Anyone who can fight that many moon ninjas could captain their own ship.” She continues, “I can tell you’re well versed in mathjutsu.”
Chuck Norris adds, “If you were a space captain, you could explore the subtle infinities of the universe. A person who’s well versed in mathjutsu might even be able to unravel the mysteries of dark matter. I personally find dark matter fascinating. Now if you'll excuse me, I have to hunt down the moon emperor within his caverns of phosphorescent crystal.”
What two deductive conclusions can Spock make from these statements, other than that the emperor of the ninjas' moon will soon die?
Which Law did Spock use in each of those two conclusions?
In 2-4, work problems 8, 16-28 even, 34, 36, 44, and 46.
Read 2-5, and work problems #8, 10, 18-24 even, 28, and 38.
Extra Credit:
On page 88, read about matrix logic and complete problems 1 & 2
Also, here's Halloween Night, the mother of all matrix logic problems.
Spock, having thoroughly beaten the moon ninjas, basks in the accolades of his peers.
Uhura tells him the following: “Anyone who can fight that many moon ninjas could captain their own ship.” She continues, “I can tell you’re well versed in mathjutsu.”
Chuck Norris adds, “If you were a space captain, you could explore the subtle infinities of the universe. A person who’s well versed in mathjutsu might even be able to unravel the mysteries of dark matter. I personally find dark matter fascinating. Now if you'll excuse me, I have to hunt down the moon emperor within his caverns of phosphorescent crystal.”
What two deductive conclusions can Spock make from these statements, other than that the emperor of the ninjas' moon will soon die?
Which Law did Spock use in each of those two conclusions?
In 2-4, work problems 8, 16-28 even, 34, 36, 44, and 46.
Read 2-5, and work problems #8, 10, 18-24 even, 28, and 38.
Extra Credit:
On page 88, read about matrix logic and complete problems 1 & 2
Also, here's Halloween Night, the mother of all matrix logic problems.
Wednesday, November 18, 2009
Geometry: 2-3 (Thursday)
The deceptive moon ninjas have returned wielding wakizashis, and Spock has no choice but to destroy them with lasers. IF the moon ninjas had made it to the engine room, THEN the dilithium crystals would have been stolen.
Finish this statement so that it means the same thing: IF the dilithium crystals haven’t been stolen, THEN ___________________________.Read 2-3 in the book, and work the following problems: # 2-12, 20-56 and 64-68 even
Finally, what conditional did you create in the first part of this assignment?
Extra Credit: Complete one or both.
Biconditionals - These are just if-then statements that go both ways. Answer problems 1-5 on p. 81.
Gadget Security - this is probably familiar, but in math it's called "matrix logic", and we'll see it again tomorrow.
For everyone!
YOU may have an opportunity to attend a Science, Technology, Engineering, and Math online academy in the Spring, and even to go to a NASA academy, with all expenses paid.
This is an opportunity for Juniors who will have finished the required classes and have a 2.7 or higher GPA in the Spring.
Required classes: Algebra I, Geometry, Earth or Physical Science, Biology (Ecology may count) - OR - proficient on all ISATs.
Based on their performance in this course, students may also be selected to participate in an all-expense-paid 7-day resident academy in the summer, including activities at NASA Ames Research Center in California.
Here's the website: http://www.sde.idaho.gov/site/science/ISAS/index.htm The deadline to apply is December 4th.
This is an opportunity for Juniors who will have finished the required classes and have a 2.7 or higher GPA in the Spring.
Required classes: Algebra I, Geometry, Earth or Physical Science, Biology (Ecology may count) - OR - proficient on all ISATs.
Based on their performance in this course, students may also be selected to participate in an all-expense-paid 7-day resident academy in the summer, including activities at NASA Ames Research Center in California.
Here's the website: http://www.sde.idaho.gov/site/science/ISAS/index.htm The deadline to apply is December 4th.
Tuesday, November 17, 2009
Geometry: 2-2 (Wednesday)
Today we'll work on logic. When moon ninjas confuse the ship's computer with haikujutsu, Spock (having beaten all of them with mathjutsu) is forced to personally challenge the broken computer's logic matrix. 
Which of the computer's crazy sentences is false? Explain why each sentence is true or false.
1. The moon does not exist.
2. Space is very big.
3. Statement #1 AND statement #2 are both true.
4. #1 is false OR #2 is false.
From the book: Read 2-2 and do problems 2-44 even, 52, and 54.
Which of the computer's crazy sentences is false? Explain why each sentence is true or false.
1. The moon does not exist.
2. Space is very big.
3. Statement #1 AND statement #2 are both true.
4. #1 is false OR #2 is false.
From the book: Read 2-2 and do problems 2-44 even, 52, and 54.
Monday, November 16, 2009
Geometry: 2-1 (Tuesday)
I'm going to be adding to this assignment Tuesday morning, but it will definitely include the following book work:
1. Look at these rainfall averages across the year for Moscow. If next year we had 5.6 inches of rain in January, 4.3 inches in February, and 4.5 inches in March, how many inches of rain should you expect that year for April?
2. Read 2-1 in the book (starting on page 62). What is the term for what you did in part 1?
3. Take your time and do these right! Problems 6-10 even, 11, 24, 30-40 even, 44-66 even (44 is tricky! read carefully!)
1. Look at these rainfall averages across the year for Moscow. If next year we had 5.6 inches of rain in January, 4.3 inches in February, and 4.5 inches in March, how many inches of rain should you expect that year for April?
2. Read 2-1 in the book (starting on page 62). What is the term for what you did in part 1?
3. Take your time and do these right! Problems 6-10 even, 11, 24, 30-40 even, 44-66 even (44 is tricky! read carefully!)
Ecology - Dichotomous Keys
Today's main ecology assignment is going to be using one of several online keys to discover the identity of one of two of the conifers growing behind the school.
One conifer is a full, bushy tree at the top of the hill near the back. The other grows in a row of scraggly trees off to the right. Pick one, and let's get started.
1. Choose a dichotomous key. Here's the one we looked at Friday. This one has pictures. This one is more specific, but has no pictures.
2. At each step of the key, write down a sentence that describes the choice you made for your tree. For instance, "The tree has needles 2-3 inches long." If you need a ruler, I can provide one. If you have trouble finding any part of the tree, talk to me. One of the trees has no female cones, that's okay, ask me about it if it's a problem.
3. Find the identity of your tree and record it.
The next assignment will be to create a dichotomous key for 8 plants! This is similar to what we did Friday, only this time I want to make sure you ask questions the same way a dichotomous key would. "Does this plant have round or pointed tips on its leaves?" is a good example. Creating a list of each plant's features is not enough, it must be in the form of a key. Take time with this!
One conifer is a full, bushy tree at the top of the hill near the back. The other grows in a row of scraggly trees off to the right. Pick one, and let's get started.
1. Choose a dichotomous key. Here's the one we looked at Friday. This one has pictures. This one is more specific, but has no pictures.
2. At each step of the key, write down a sentence that describes the choice you made for your tree. For instance, "The tree has needles 2-3 inches long." If you need a ruler, I can provide one. If you have trouble finding any part of the tree, talk to me. One of the trees has no female cones, that's okay, ask me about it if it's a problem.
3. Find the identity of your tree and record it.
The next assignment will be to create a dichotomous key for 8 plants! This is similar to what we did Friday, only this time I want to make sure you ask questions the same way a dichotomous key would. "Does this plant have round or pointed tips on its leaves?" is a good example. Creating a list of each plant's features is not enough, it must be in the form of a key. Take time with this!
Friday, November 13, 2009
Geometry - Friday the 13th
I've shortened this, and we'll push back the quiz until Monday. As usual, this is all part of the assignment.
1. Start with the reading, 1-6. Notice that concave shapes are cave-shaped.
2. Next, since it's Friday the Thirteenth, let's start with Freddy. If you pretend the bottom of his hat is a straight line, then it becomes a polygon. Describe it. How many sides? Is it convex or concave, regular or irregular?
3. Go back to SketchUp! It should still be saved when you open the program (there's a link to SketchUp at the lower left of the screen) Use the frigate from before, or the International Space Station or the Apollo Command Module.
Find and record 2 examples each of convex regular and convex irregular polygons somewhere on the object. For each one, tell where you found it (sail, thruster, etc.) and how many sides it has. If you can, find an example of a concave irregular polygon. Why don't concave regular polygons exist?
4. Lastly, the book assignment. All problems ending in 0, 4, or 8.
5. Extra Credit if you have time (most people won't, I know): get on Google Earth and look at Nevada. What kind of polygon is it? Okay, here's the tough part - find the perimeter of Nevada. Remember the distance formula, and that there are 60 miles in a degree. (By the way, there aren't always 60 miles in a degree, but south of Canada that's a reasonable estimate).
1. Start with the reading, 1-6. Notice that concave shapes are cave-shaped.
2. Next, since it's Friday the Thirteenth, let's start with Freddy. If you pretend the bottom of his hat is a straight line, then it becomes a polygon. Describe it. How many sides? Is it convex or concave, regular or irregular?
3. Go back to SketchUp! It should still be saved when you open the program (there's a link to SketchUp at the lower left of the screen) Use the frigate from before, or the International Space Station or the Apollo Command Module.
Find and record 2 examples each of convex regular and convex irregular polygons somewhere on the object. For each one, tell where you found it (sail, thruster, etc.) and how many sides it has. If you can, find an example of a concave irregular polygon. Why don't concave regular polygons exist?
4. Lastly, the book assignment. All problems ending in 0, 4, or 8.
5. Extra Credit if you have time (most people won't, I know): get on Google Earth and look at Nevada. What kind of polygon is it? Okay, here's the tough part - find the perimeter of Nevada. Remember the distance formula, and that there are 60 miles in a degree. (By the way, there aren't always 60 miles in a degree, but south of Canada that's a reasonable estimate).
Thursday, November 12, 2009
Geometry - Assignment for Thursday
First of all, finish up from yesterday's assignment if you're not already done.
Now, Google Earth and SketchUp should be installed on just about every computer here (except 2 and 13). Start by opening Google Earth. Your first assignment is to go back to Blackbeard's excursion from Barbados to Anguilla by way of Dominica. These islands are in the southeastern Caribbean. This is to be turned in with the rest of the assignment.
1.a. After taking a minute to familiarize yourself with google earth, notice that at the bottom is latitude and longitude. Using the fact that 1 degree = 60 miles, look at the coordinates of the islands, and find the distance from Barbados to Anguila.
b. Find the midpoint between the two. About how close is it to Dominica?
2. In your books, read 1-5.
3. Now a sketchup assignment, click here. After this file downloads, it should open a page asking what template you want. Select meters, which opens Blackbeard's frigate in sketchup. See if you can find at least 4 of the following 5 things: vertical angles, a supplemental angle, a complementary angle, perpendicular lines, and a linear pair. Describe them. (The masts, in order from back to front, are called mizzen, main, fore, and bowsprit) This is also part of the assignment.
4. At some point, I'll call everyone together and we'll go try to find the angle of the sun using protractors.
5. Book assignment: 4-62 even, but skip 36 and 40. On #6 it will help to make an equation first.
Now, Google Earth and SketchUp should be installed on just about every computer here (except 2 and 13). Start by opening Google Earth. Your first assignment is to go back to Blackbeard's excursion from Barbados to Anguilla by way of Dominica. These islands are in the southeastern Caribbean. This is to be turned in with the rest of the assignment.
1.a. After taking a minute to familiarize yourself with google earth, notice that at the bottom is latitude and longitude. Using the fact that 1 degree = 60 miles, look at the coordinates of the islands, and find the distance from Barbados to Anguila.
b. Find the midpoint between the two. About how close is it to Dominica?
2. In your books, read 1-5.
3. Now a sketchup assignment, click here. After this file downloads, it should open a page asking what template you want. Select meters, which opens Blackbeard's frigate in sketchup. See if you can find at least 4 of the following 5 things: vertical angles, a supplemental angle, a complementary angle, perpendicular lines, and a linear pair. Describe them. (The masts, in order from back to front, are called mizzen, main, fore, and bowsprit) This is also part of the assignment.
4. At some point, I'll call everyone together and we'll go try to find the angle of the sun using protractors.
5. Book assignment: 4-62 even, but skip 36 and 40. On #6 it will help to make an equation first.
Wednesday, November 11, 2009
Geometry - Assignment for Wednesday
Hi folks! Today has 5 parts.
Part 1: Start google earth downloading by clicking here, unchecking "download google chrome", and clicking the big button at the bottom that says agree and download. Internet explorer may block it, just click the bar at the top and tell it to allow the download. Once it starts, tell it to run the installer.
2. While Google Earth is downloading, read 1-4. The books are back in the other class, grab a purple binder while you're there. We'll use this to store study materials, mostly assignments.
3. A pirate google earth thing - nevermind, we'll do that tomorrow.
4. Get a protractor from me, and use it to measure and record the four angles between your fingers and thumb on one hand (fingers outstretched). This is due along with the assignment.
5. #4-42, 50-66, 28-32 even, 38 (think 180 degrees).
Part 1: Start google earth downloading by clicking here, unchecking "download google chrome", and clicking the big button at the bottom that says agree and download. Internet explorer may block it, just click the bar at the top and tell it to allow the download. Once it starts, tell it to run the installer.
2. While Google Earth is downloading, read 1-4. The books are back in the other class, grab a purple binder while you're there. We'll use this to store study materials, mostly assignments.
3. A pirate google earth thing - nevermind, we'll do that tomorrow.
4. Get a protractor from me, and use it to measure and record the four angles between your fingers and thumb on one hand (fingers outstretched). This is due along with the assignment.
5. #4-42, 50-66, 28-32 even, 38 (think 180 degrees).
Monday, November 09, 2009
Algebra 1B - Examples of Scientific Notation
Here's a list of numbers expressed in scientific notation. Take a second to look over the list and try to comprehend each amount. Then translate all of these numbers (except the last two and the number of candles needed to reproduce sunlight) into standard notation. This will be part of today's assignment. Take a last look at the numbers and see if they're easier or harder to comprehend as an amount.
Situation Scientific Notation
X-Ray frequencies 1 x 10^16 (vibrations/second)
Bottles of Champagne consumed by the French yearly 1.245 x 10^8
Number of toothbrushes purchased by Americans yearly 2.8 x 10^8
Number of candles it would take to reproduce sunlight 3.01 x 10^27
Grains of sand on Miami Beach 1.7 x 10^14
Weight (in tons) of all the water on Earth 1.97 x 10^18
Number of people around the world who speak Mandarin 6.5 x 10^8
Length of a Hemoglobin molecule 6.8 x 10^-6
The mass of the hydrogen atom (in grams) 1.66 x 10^-24
Number of ways to arrange 52 ordinary playing cards 8.066 x 10^67
Situation Scientific Notation
X-Ray frequencies 1 x 10^16 (vibrations/second)
Bottles of Champagne consumed by the French yearly 1.245 x 10^8
Number of toothbrushes purchased by Americans yearly 2.8 x 10^8
Number of candles it would take to reproduce sunlight 3.01 x 10^27
Grains of sand on Miami Beach 1.7 x 10^14
Weight (in tons) of all the water on Earth 1.97 x 10^18
Number of people around the world who speak Mandarin 6.5 x 10^8
Length of a Hemoglobin molecule 6.8 x 10^-6
The mass of the hydrogen atom (in grams) 1.66 x 10^-24
Number of ways to arrange 52 ordinary playing cards 8.066 x 10^67
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