Hi Monica,
FWIW, I would finish R&S 6 this year, then start your son with VT in 9th grade and have him work steadily at his pace, making sure he understands the lesson and can do the work correctly before advancing to the next lesson. Tom Clark's style is very engaging, and his teaching...
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Hi Mrs. Bee,
I agree with your analysis.
For the given problem, with the formula for surface area given and asked to solve for r, the correct answer should be:
r = 1/2 [sqrt(S/pi)]
Note: I would simplify by pulling out the 4 from under the sqrt sign to get 1/2 out ...
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Mrs. Bee, you are correct. The answer should read 8i + 8
Thank you for pointing that error out.
Cindy Davis
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Hi Mrs. Bee,
You are correct about quiz 7a: #2, #3, #4, #10. You've got it! Regarding your "bonus question" for #10, the textbook did not cover domain restrictions in Ch7, so we did not include them in the answer key. But you are correct, the domain should not include x = 2. You...
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Hi Mrs. Bee,
For that example, the reason the factored out sqrt(a^2) is not in absolute value bars, is because when it appears under the square root sign as a^3, a is required to be > 0 (because a^3 must be nonnegative to have a real principal root).
The nonnegative requirement for the...Last edited by Cindy in Indy; 03082021, 08:42 AM.
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Hello Mrs. Bee,
As you correctly state, the even root of even power of a variable should be noted with absolute value brackets. In lesson 71, the answers are noted correctly: e.g. #3740.
Can you provide an example of where the absolute value bars are omitted? I will try to address that...
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I mentioned your question to my colleague, who teaches algebra2. She pointed out that the factored answer your son got is actually the first step in the rationalizing process. Then he simplified the denominator, but the numerator is still factored. He took two extra steps to multiply it out and then...
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Hi Mrs. Bee,
I must admit, I would have gotten the same answer as your daughter. Your son, however, noticed a further simplification that most people would not see (including the authors of the book). His answer is also correct. Depending on the purpose of this math problem, your daughter's...
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Hi Melisa,
Rational numbers are numbers that can be written as the ratio of two integers.
0.315215 ("three hundred fifteen thousand, two hundred fifteen millionths") is a decimal, which can be written 315215/1000000 (and then it could be simplified). Since it is the ratio...
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If student motivation is lacking, he/she will benefit from outside accountability, such as online course (Princeton Review offers a good one). Have the student pay part of the cost, and then incentivize a refund for full participation (and achieving goal score??) I think one of those programs offers...
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Thought I'd add that Rotation of Conics is not the same as "Conic Sections"  rotation is more advanced
Polar Equations of Conics is also a more advanced topic, and is not on the list you shared from Thinkwell.
The Thinkwell list does not include Parametric Equations, which is...
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Hello Pam,
You have planned a very full program for a 9th grade student, particularly considering his extracurricular activities: band, choir, swim/running, Trail Life, and 4H. That is quite a lot! All your selections are good, but you may want to pare back. An earlier motto for Memoria...
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Hi Melisa,
To find the area for that triangle, you will use the formula:
A = 1/2 b*h, where the base, b = a (from the diagram)
To find h, use the Pythagorean Theorem with hypotenuse a, and short leg = a/2 (from the diagram)
a^{2} = (a/2)^{2} + h^{2}
Solve for h:...
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Hi Mrs. Bee,
Sections 1.11.7 and 1.9 of PH Algebra2 are direct review of algebra 1. Since your students will just have completed algebra1, you can probably skip those sections of Ch1. (Look these sections over to confirm they were mastered in algebra1.)
I would definitely cover 1.8...Last edited by Cindy in Indy; 06132020, 04:41 PM.
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Hello Mrs. Bee,
It's all about convention.
Your daughter's solution yields the correct result when multiplied out, so it is technically correct.
However, the mathematical convention is to write polynomials with the leading term positive. So your daughter's solution would be written:...
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