1. finish 10.2 ws - ANGLES
2. #1-10 only on 10.2 ws - SIDES
quiz friday - using sin, cos, tan to find angles and sides
2. #1-10 only on 10.2 ws - SIDES
quiz friday - using sin, cos, tan to find angles and sides
Thursday, October 31, 2013
612 - A block - due Friday 13.11.01
finish 7.7 ws - "crossing out things that look like other things"
Wednesday, October 30, 2013
623 - E block - due Thursday 13.10.31
1. finish 10.2 ws - ANGLES
2. #1-10 only on 10.2 ws - SIDES
quiz thursday - using sin, cos, tan to find angles and sides
2. #1-10 only on 10.2 ws - SIDES
quiz thursday - using sin, cos, tan to find angles and sides
612 - A block - due Thursday 13.10.31 (boo!)
1. print the following worksheet - 612ATchapter7.4
2. do not do the side with Pascal's triangle (bring it to class on thursday though) - only do numbers 6 - 16 - factoring cubes!
notes: factoring cubes
always look for GCF first (as with any factoring)
(x^3 + y^3)
the factored form will be a binomial times a trinomial.
to find the binomial... simply take the cube root of each (x + y)
to find the trinomial... (using the binomial you just found) - square the first term (x^2), then multiply the first term by the second term and use the opposite sign (- xy) and then square the second term (y^2)
the result: (x + y)(x^2 - xy + y^2)
example:
3x^3 - 81
3(x^3 - 27)
3(x - 3)(x^2 + 3x + 9)
2. do not do the side with Pascal's triangle (bring it to class on thursday though) - only do numbers 6 - 16 - factoring cubes!
notes: factoring cubes
always look for GCF first (as with any factoring)
(x^3 + y^3)
the factored form will be a binomial times a trinomial.
to find the binomial... simply take the cube root of each (x + y)
to find the trinomial... (using the binomial you just found) - square the first term (x^2), then multiply the first term by the second term and use the opposite sign (- xy) and then square the second term (y^2)
the result: (x + y)(x^2 - xy + y^2)
example:
3x^3 - 81
3(x^3 - 27)
3(x - 3)(x^2 + 3x + 9)
Tuesday, October 29, 2013
623 - E block - due Wednesday 13.10.30
1.. finished 10.1 ws - sine, cosine and tangent (not just tangent from monday)
2.. 2.. THIS PROBLEM WILL BE COLLECTED ON WEDNESDAY - IT SHOULD BE DONE ON A SEPARATE PIECE OF PAPER. THE PROBLEM WILL BE GRADED AS A 6 POINT QUIZ GRADE!
You are leaning a ladder against your house. The side of your house is perpendicular to the ground. The maximum height of the ladder is 28 feet. At what height will the ladder touch the house if the angle of elevation of the ladder (angle at the ground) is 78 degrees?
a.. draw a diagram.
b.. solve.
notes:
SOH - CAH - TOA
sin (θ) = opp / hyp
cos (θ) = adj / hyp
tan (θ) = opp / adj
2.. 2.. THIS PROBLEM WILL BE COLLECTED ON WEDNESDAY - IT SHOULD BE DONE ON A SEPARATE PIECE OF PAPER. THE PROBLEM WILL BE GRADED AS A 6 POINT QUIZ GRADE!
You are leaning a ladder against your house. The side of your house is perpendicular to the ground. The maximum height of the ladder is 28 feet. At what height will the ladder touch the house if the angle of elevation of the ladder (angle at the ground) is 78 degrees?
a.. draw a diagram.
b.. solve.
notes:
SOH - CAH - TOA
sin (θ) = opp / hyp
cos (θ) = adj / hyp
tan (θ) = opp / adj
623 - C block - due Thursday 13.10.31
1.. finished 10.1 ws - sine, cosine and tangent (not just tangent from monday)
2.. THIS PROBLEM WILL BE COLLECTED ON THURSDAY - IT SHOULD BE DONE ON A SEPARATE PIECE OF PAPER. THE PROBLEM WILL BE GRADED AS A 6 POINT QUIZ GRADE!
You are leaning a ladder against your house. The side of your house is perpendicular to the ground. The maximum height of the ladder is 22 feet. At what height will the ladder touch the house if the angle of elevation of the ladder (angle at the ground) is 76 degrees?
a.. draw a diagram.
b.. solve.
notes:
SOH - CAH - TOA
sin (θ) = opp / hyp
cos (θ) = adj / hyp
tan (θ) = opp / adj
2.. THIS PROBLEM WILL BE COLLECTED ON THURSDAY - IT SHOULD BE DONE ON A SEPARATE PIECE OF PAPER. THE PROBLEM WILL BE GRADED AS A 6 POINT QUIZ GRADE!
You are leaning a ladder against your house. The side of your house is perpendicular to the ground. The maximum height of the ladder is 22 feet. At what height will the ladder touch the house if the angle of elevation of the ladder (angle at the ground) is 76 degrees?
a.. draw a diagram.
b.. solve.
notes:
SOH - CAH - TOA
sin (θ) = opp / hyp
cos (θ) = adj / hyp
tan (θ) = opp / adj
Monday, October 28, 2013
623 - E block - due Tuesday 13.10.29
finish chapter 10.1 ws (tangent)
notes:
tan (angle) = opp / adj
if x is in the numerator... multiply the "tan side" by the denominator.
if x is in the denominator... divide the numerator by the "tan side."
notes:
tan (angle) = opp / adj
if x is in the numerator... multiply the "tan side" by the denominator.
if x is in the denominator... divide the numerator by the "tan side."
611 - D block - due Tuesday 13.10.29
finish 4.1 ws that you started (and most likely finished) during class.
623 - C block - due Tuesday 13.10.29
finish chapter 10.1 ws (tangent)
notes:
tan (angle) = opp / adj
if x is in the numerator... multiply the "tan side" by the denominator.
if x is in the denominator... divide the numerator by the "tan side."
notes:
tan (angle) = opp / adj
if x is in the numerator... multiply the "tan side" by the denominator.
if x is in the denominator... divide the numerator by the "tan side."
Friday, October 25, 2013
Thursday, October 24, 2013
612 - A block - due Friday 13.10.25
1. finish page 10 and 11 review in the packet. DO NOT WORRY ABOUT THE PAGES IN THE BACK WITH THE GRAPHS!
2. quiz monday that will look A LOT like the review, and even more like the review i give you tomorrow.
2. quiz monday that will look A LOT like the review, and even more like the review i give you tomorrow.
Wednesday, October 23, 2013
611 - D block - due Friday 13.10.25
1. finish chapter 3 review #2 - answers will be posted thursday after school - CHECK BACK TO THIS POST!!
page 1
page 2
page 3
page 4
2. homework check - the following need to be handed in at the beginning of class on friday, in order and paper clipped (not stapled). all sheets should be complete, and accurate.
1- 3.1 ws
2- 3.2 packet
3- 3.3 ws
4- 3.4 packet
5- 3.5 ws
6- 3.6 opener ws
7- 3.6 ws
8- 3.7 packet
9- 3.8 ws
10- 3.9 ws
11- 3.10- ws
12- review packet 1
13- review packet 2
3. CHAPTER 3 BIG QUIZ FRIDAY!!
page 1
page 2
page 3
page 4
2. homework check - the following need to be handed in at the beginning of class on friday, in order and paper clipped (not stapled). all sheets should be complete, and accurate.
1- 3.1 ws
2- 3.2 packet
3- 3.3 ws
4- 3.4 packet
5- 3.5 ws
6- 3.6 opener ws
7- 3.6 ws
8- 3.7 packet
9- 3.8 ws
10- 3.9 ws
11- 3.10- ws
12- review packet 1
13- review packet 2
3. CHAPTER 3 BIG QUIZ FRIDAY!!
612 - A block - due Thursday 13.10.24
1. FoF packet - finish page 7 #1 (do not graph).
2. FoF packet - complete page 8 and 9 - with graphing.
when graphing - use the points! for example... on page 8, #1d - y-values are multiplied by 2. so, multiply each y-value (from the three significant points on the graph) by 2. x-values do not change.
2. FoF packet - complete page 8 and 9 - with graphing.
when graphing - use the points! for example... on page 8, #1d - y-values are multiplied by 2. so, multiply each y-value (from the three significant points on the graph) by 2. x-values do not change.
Tuesday, October 22, 2013
Monday, October 21, 2013
623 - E block - due Tuesday 13.10.22
1. finish 15.7 ws
2. big quiz thursday 13.10.24 - chapter 15.1, 3, 5, 6 and 7.
2. big quiz thursday 13.10.24 - chapter 15.1, 3, 5, 6 and 7.
612 - D block - due Tuesday 10.13.22
finish 3.9 ws that you started during class.
upcoming schedule:
tuesday: 3.10 / review 1
wednesday: review 2
friday: 13.10.25 - chapter 3 BIG QUIZ!
upcoming schedule:
tuesday: 3.10 / review 1
wednesday: review 2
friday: 13.10.25 - chapter 3 BIG QUIZ!
623 - C block - due Tuesday 13.10.22
1. finish 15.7 ws
2. big quiz friday 13.10.25 - chapter 15.1, 3, 5, 6 and 7.
2. big quiz friday 13.10.25 - chapter 15.1, 3, 5, 6 and 7.
612 - A block - due Tuesday 13.10.22
complete pages 3 and 4 in the "families of functions" packet.
NOTES:
if the constant is NOT grouped with x (like in #1 on page 3) then y-values are affected. if (like in #1) it is "y = x^2 - 2" then the graph looks exactly like the parabola on page 1, but shifts DOWN 2 units. if it was "y = x^2 + 2" then everything would shift UP two units.
if the constant IS grouped with x (like in #2 on page 3) then x-values are affected. if (like in #2) it is "y = (x - 2)^2" then the graph still looks exactly like the parabola on page 1, but it shifts to the RIGHT two units. if it was "y = (x + 2)^2" then everything would shift to the LEFT two units.
in general, if the equation is written in "y = " form, then x-values are affected in the opposite manner in which the equation shows (- is RIGHT while + is LEFT) and y-values are affected in the same manner in which the equation shows (- is DOWN while + is UP).
NOTES:
if the constant is NOT grouped with x (like in #1 on page 3) then y-values are affected. if (like in #1) it is "y = x^2 - 2" then the graph looks exactly like the parabola on page 1, but shifts DOWN 2 units. if it was "y = x^2 + 2" then everything would shift UP two units.
if the constant IS grouped with x (like in #2 on page 3) then x-values are affected. if (like in #2) it is "y = (x - 2)^2" then the graph still looks exactly like the parabola on page 1, but it shifts to the RIGHT two units. if it was "y = (x + 2)^2" then everything would shift to the LEFT two units.
in general, if the equation is written in "y = " form, then x-values are affected in the opposite manner in which the equation shows (- is RIGHT while + is LEFT) and y-values are affected in the same manner in which the equation shows (- is DOWN while + is UP).
Friday, October 18, 2013
623 - C block - due Monday 13.10.21
1. finish 15.6 ws that you started during class.
2. complete 15.1, 3, 5 quiz
2. complete 15.1, 3, 5 quiz
Thursday, October 17, 2013
623 - E block - due Monday 13.10.21
1. finish 15.6 ws that you started during class.
2. complete 15.1, 3, 5 quiz
2. complete 15.1, 3, 5 quiz
J block week of 13.10.21
WEDNESDAY and THURSDAY!!
remember - wednesday J block there is a good chance i will be in 4216.
remember - wednesday J block there is a good chance i will be in 4216.
612 - A block - due Friday 13.10.18
1. optional review "round 2" due at the beginning of class.
2. chapter 6.2 - 6.7 and 6.14 big quiz friday.
3. solutions to the second review are posted below.
page 1
page 2
page 3
**two of the more obvious answers are wrong [on purpose] specifically to "catch" people that plan to just copy my solutions.
2. chapter 6.2 - 6.7 and 6.14 big quiz friday.
3. solutions to the second review are posted below.
page 1
page 2
page 3
**two of the more obvious answers are wrong [on purpose] specifically to "catch" people that plan to just copy my solutions.
623 - E block - due Thursday 13.10.17
finish 15.5 ws
chords (intersect inside the circle): (arc + arc) / 2
secants (intersect outside the circle): (big arc - small arc) / 2
chords (intersect inside the circle): (arc + arc) / 2
secants (intersect outside the circle): (big arc - small arc) / 2
Wednesday, October 16, 2013
611 - D block - due Friday 13.10.18
finish 3.7 packet.
#s 11 and 12.... you are graphing both lines on the same coordinate plane and shading the OVERLAP.
#s 11 and 12.... you are graphing both lines on the same coordinate plane and shading the OVERLAP.
612 - A block - due Thursday 13.10.17
1. finish chapter 6 review
2. chapter 6.2 - 6.7 and 6.14 big quiz friday
2. chapter 6.2 - 6.7 and 6.14 big quiz friday
Tuesday, October 15, 2013
Friday, October 11, 2013
623 - C block - due Tuesday 13.10.15
1. homework free weekend... yes. but you should have your 15.1 ws complete (since you had 45 minutes to work on it during class).
2. check 15.1 solutions below.
#s 1 - 6
#s 7 - 14
i just realized a couple of my questions (shaded area) are different. that does not mean that you are wrong - so pay attention to what the question is asking. you SHOULD have a couple different answers. we will fix it in class on tuesday.
2. check 15.1 solutions below.
#s 1 - 6
#s 7 - 14
i just realized a couple of my questions (shaded area) are different. that does not mean that you are wrong - so pay attention to what the question is asking. you SHOULD have a couple different answers. we will fix it in class on tuesday.
612 - A block - due Wednesday 13.10.16
1. finish 6.14 ws - solution to the first problem posted below.
explanation for the exponents in number 1... it says "find a particular equation... of years that have elapsed past 1970." so, this means that in 1970, zero years have elapsed... so 1970 is "year zero." if you made the exponent 1970 instead of zero you would not be wrong... but your "a" value would be very small because you'd be finding the population in actual year zero (like biblical times). if 1970 is "year zero", then 1980 (ten years later) is "year 10."we could make year zero anything... if you did the same problem but made 1900 year zero, you would still get the same "b" value, but a different "a" value. make sense?
anyway... here is the solution.
2. QUIZ NEXT FRIDAY!! 6.2 - 6.6 and 6.14
explanation for the exponents in number 1... it says "find a particular equation... of years that have elapsed past 1970." so, this means that in 1970, zero years have elapsed... so 1970 is "year zero." if you made the exponent 1970 instead of zero you would not be wrong... but your "a" value would be very small because you'd be finding the population in actual year zero (like biblical times). if 1970 is "year zero", then 1980 (ten years later) is "year 10."we could make year zero anything... if you did the same problem but made 1900 year zero, you would still get the same "b" value, but a different "a" value. make sense?
anyway... here is the solution.
2. QUIZ NEXT FRIDAY!! 6.2 - 6.6 and 6.14
Thursday, October 10, 2013
612 - A block - due Friday 13.10.11
complete 6.6 ws - scientific notation.
we only have one new section left (6.14) which we will do on friday.
we will have a quiz on 6.2 - 6.6 and 6.14 next week - friday!
we only have one new section left (6.14) which we will do on friday.
we will have a quiz on 6.2 - 6.6 and 6.14 next week - friday!
J block week of 13.10.14
WEDNESDAY and THURSDAY!!
remember - wednesday J block there is a good chance i will be in 4216.
remember - wednesday J block there is a good chance i will be in 4216.
Wednesday, October 9, 2013
623 - E block - due Tuesday 13.10.15
1. finish 15.1 ws
2. check 15.1 solutions below.
#s 1 - 6
#s 7 - 14
i just realized a couple of my questions (shaded area) are different. that does not mean that you are wrong - so pay attention to what the question is asking. you SHOULD have a couple different answers. we will fix it in class on tuesday.
2. check 15.1 solutions below.
#s 1 - 6
#s 7 - 14
i just realized a couple of my questions (shaded area) are different. that does not mean that you are wrong - so pay attention to what the question is asking. you SHOULD have a couple different answers. we will fix it in class on tuesday.
611 - D block - due Friday 13.10.10
1. finish 3.5 ws - solving systems
2. complete 3.1 - 3.4 (it says 3.5, but it's only thru 3.4) quiz.
2. complete 3.1 - 3.4 (it says 3.5, but it's only thru 3.4) quiz.
612 - A block - due Thursday 13.10.10
1. finish 6.4 / 6.5 ws
2. print and fill out the chart posted below. it will help you with exponents. the boxes that are filled in gray... you need not write in those.
exponent chart
2. print and fill out the chart posted below. it will help you with exponents. the boxes that are filled in gray... you need not write in those.
exponent chart
Tuesday, October 8, 2013
611 - D block - due Wednesday 13.10.09
finish 3.4 PACKET that you started during class today.
y - y1 = m(x - x1)
y = mx + b
m = (y2-y1)/(x2-x1)
parallel slope = same
perpendicular slope = opposite reciprocal
y - y1 = m(x - x1)
y = mx + b
m = (y2-y1)/(x2-x1)
parallel slope = same
perpendicular slope = opposite reciprocal
Monday, October 7, 2013
623 - E block - due Tuesday 13.10.08
1. chapter 13.5, 13.7, 13.8 and 14.1, 14.2 QUIZ TUESDAY!!
2. hand in homework. sheets must be paper clipped (not stapled), in order (listed below), with your name on the front sheet.
order:
1. 13.7/8
2. 13.5
3. 14.1
4. 14.2 (DO NOT INCLUDE THE NOTES)
5. review
total possible points: 12 (2 for each sheet - 1 for in order, 1 for paper clipped. that's right.... i am giving a 2 points for putting 5 sheets in order and finding a paper clip on the ground).
2. hand in homework. sheets must be paper clipped (not stapled), in order (listed below), with your name on the front sheet.
order:
1. 13.7/8
2. 13.5
3. 14.1
4. 14.2 (DO NOT INCLUDE THE NOTES)
5. review
total possible points: 12 (2 for each sheet - 1 for in order, 1 for paper clipped. that's right.... i am giving a 2 points for putting 5 sheets in order and finding a paper clip on the ground).
623 - C block - due Tuesday 13.10.08
1. chapter 13.5, 13.7, 13.8 and 14.1, 14.2 QUIZ TUESDAY!!
2. hand in homework. sheets must be paper clipped (not stapled), in order (listed below), with your name on the front sheet.
order:
1. 13.7/8
2. 13.5
3. 14.1
4. 14.2 (DO NOT INCLUDE THE NOTES)
5. review
total possible points: 12 (2 for each sheet - 1 for in order, 1 for paper clipped. that's right.... i am giving a 2 points for putting 5 sheets in order and finding a paper clip on the ground).
2. hand in homework. sheets must be paper clipped (not stapled), in order (listed below), with your name on the front sheet.
order:
1. 13.7/8
2. 13.5
3. 14.1
4. 14.2 (DO NOT INCLUDE THE NOTES)
5. review
total possible points: 12 (2 for each sheet - 1 for in order, 1 for paper clipped. that's right.... i am giving a 2 points for putting 5 sheets in order and finding a paper clip on the ground).
Thursday, October 3, 2013
612 - A block - due Friday 13.10.03
1. chapter 5 / 10 BIG quiz friday. sections 5.1 - 5.7 and 10.2 / 10.3.
2. solutions to chapter 5/10 review posted below
page 1
page 2
page 3
page 4
page 5
3. make sure you are ready to hand in your homework assignments - directions in previous post. pay attention to detail!!
4. some notes on the BIG quiz tomorrow...
- understand the difference between "finding x when f(x) = 5" and "finding f(5)"
- when completing the square - if there is a coefficient in from of the x^2 term - it must be factored out to get the coefficient to be 1. be careful when adding to the other side!!
- sqrt (-1) = i, i^2 = -1, i^3 = -i, i^4 = 1 - - - divide exponent by 4 - remainders .25 (1), .5 (2) .75 (3)
- given solutions, find quadratic - know the formulas! b/a = -(s1 + s2) and c/a = (s1)(s2)
- find quadratic model!! 2-1, 3-2 to cancel c values. BE CAREFUL WITH SIGNS!! then, it is simply solving a 2 variable system.
- with a word problem involving quadrics... max or min height is the y-value of the vertex, the ground is the x-intercepts, time zero is the y-intercept.
- will a quadratic ever equal a certain value? discriminant. b^2 - 4ac
- know the vertex formula x = -b/2a and how to get into vertex form (complete the square)
THE BIG QUIZ IS GOING TO LOOK A LOT LIKE THE REVIEW... A WHOLE LOT (INSERT WINKS AND NUDGES HERE). IF YOU ARE LOOKING FOR MORE PROBLEMS TO PRACTICE (YOU SHOULD BE) - DO SOME ODD NUMBERS OUT OF THE BOOK AND CHECK YOUR ANSWERS!!
GOOD LUCK.
2. solutions to chapter 5/10 review posted below
page 1
page 2
page 3
page 4
page 5
3. make sure you are ready to hand in your homework assignments - directions in previous post. pay attention to detail!!
4. some notes on the BIG quiz tomorrow...
- understand the difference between "finding x when f(x) = 5" and "finding f(5)"
- when completing the square - if there is a coefficient in from of the x^2 term - it must be factored out to get the coefficient to be 1. be careful when adding to the other side!!
- sqrt (-1) = i, i^2 = -1, i^3 = -i, i^4 = 1 - - - divide exponent by 4 - remainders .25 (1), .5 (2) .75 (3)
- given solutions, find quadratic - know the formulas! b/a = -(s1 + s2) and c/a = (s1)(s2)
- find quadratic model!! 2-1, 3-2 to cancel c values. BE CAREFUL WITH SIGNS!! then, it is simply solving a 2 variable system.
- with a word problem involving quadrics... max or min height is the y-value of the vertex, the ground is the x-intercepts, time zero is the y-intercept.
- will a quadratic ever equal a certain value? discriminant. b^2 - 4ac
- know the vertex formula x = -b/2a and how to get into vertex form (complete the square)
THE BIG QUIZ IS GOING TO LOOK A LOT LIKE THE REVIEW... A WHOLE LOT (INSERT WINKS AND NUDGES HERE). IF YOU ARE LOOKING FOR MORE PROBLEMS TO PRACTICE (YOU SHOULD BE) - DO SOME ODD NUMBERS OUT OF THE BOOK AND CHECK YOUR ANSWERS!!
GOOD LUCK.
Wednesday, October 2, 2013
612 - A block - due Thursday 13.10.03
1. complete chapter 5 / 10 review
2. chapter 5 / 10 QUIZ FRIDAY!!
3.. solutions to chapter 5.7 word problems posted below...
number 1
number 2
number 4
number 6
4. check to see if you are missing any chapter 5 / 10 worksheets which are due on friday before the quiz. on friday you need to hand in the following sheets, in order, paper clipped (not stapled), with your name on the front sheet.
1. 5.1 / 5.2 ws
2. 5.3 ws
3. 10.2 ws
4. 10.3 ws
5. 5.4 ws packet
6. 5.5 ws packet
7. 5.6 ws packet
8. 5.6 ws "world series"
9. 5.7 ws
10. 5.7 book problems #1, 2, 4 and 6
11. chapter 5 / 10 review ws packet
2. chapter 5 / 10 QUIZ FRIDAY!!
3.. solutions to chapter 5.7 word problems posted below...
number 1
number 2
number 4
number 6
4. check to see if you are missing any chapter 5 / 10 worksheets which are due on friday before the quiz. on friday you need to hand in the following sheets, in order, paper clipped (not stapled), with your name on the front sheet.
1. 5.1 / 5.2 ws
2. 5.3 ws
3. 10.2 ws
4. 10.3 ws
5. 5.4 ws packet
6. 5.5 ws packet
7. 5.6 ws packet
8. 5.6 ws "world series"
9. 5.7 ws
10. 5.7 book problems #1, 2, 4 and 6
11. chapter 5 / 10 review ws packet
Tuesday, October 1, 2013
611 - D block - due Wednesday 13.10.02
caterina and andrew... you still have not filled out the student ID form. PLEASE DO IT. link below...
student ID form
student ID form
623 - E block - due Wednesday 13.10.02
bring 14.1 notes sheet to class which we started to fill out on tuesday.
ALSO - meaghan and tristan... please fill out the student ID form. PLEASE. link below...
student ID form
ALSO - meaghan and tristan... please fill out the student ID form. PLEASE. link below...
student ID form
623 - C block - due Thursday 13.10.03
bring 14.1 notes sheet to class which we started to fill out on tuesday.
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