Accelerated Mathematics 1-Period 1 Assignments
- Instructor
- Mr. Piero Gualcherani
- Term
- 2020-2021
- Department
- Mathematics
- Description
-
Files
Upcoming Assignments
No upcoming assignments.
Past Assignments
Due:
Go on GoFormative and work on Triangle worksheet #5. Submit the work on GoFormative by Monday morning (8.30am). For questions 2-9 you do not need to show work nor to upload any pictures. Just write the correct answers.
Due:
A) Go on GoFormative and work on Triangle worksheet #4. Submit the work on GoFormative by Thursday morning (8.30am). B) We will have our "Take-2 quiz" on Thursday (05/20/21).
Due:
A) Go on GoFormative and work on the four exercises (Triangle Congruence Criteria worksheet #3). Submit the work on GoFormative by Monday morning (8.30am). B) We will have our "Take-2 quiz" next Thursday (05/20/21).
Due:
A) Study and understand the proof for the SSS theorem from the handout shared a few days ago, and on which we have been working during these past few days. B) Prove the Hypothenuse-Leg (HL) theorem on the last page of the handout. [Hint: Because sides BC and EF are congruent, there is a rigid motion that brings E' to coincide with B and F' to coincide with C, such that A and D' end up on opposite sides of the line BC...]
Due:
A) Go on GoFormative and work on the four exercises (Triangle Congruence Criteria worksheet #2). Submit the work on GoFormative by Monday morning (8.30am). B) We will have our quiz next Monday (05/10/21).
Due:
A) Go on GoFormative and work on the four exercises (Triangle Congruence Criteria worksheet). Submit the work on GoFormative by Thursday morning (8.30am). B) As announced, we will have our quiz next Monday (05/10/21).
Due:
A) Learn how to perform the construction of parallel lines (see link below). Then perform the construction in your paper (or on the screen using the applet shared some time ago) B) Show TWO DIFFERENT WAYS to prove that Corresponding Angles formed by parallel lines cut by a transversal are congruent (a) for the first, use an argument similar to the one we did in the warmup, that is using the same-side-interior postulate, and (b) for the second use the theorem that states that alternate interior angles are congruent. In both cases write a paragraph proof. C) Textbook p. 793 # 1-9
Due:
Due:
Practice Workbook p. 131 all exercises + p. 130 # 6 (use a paragraph proof, and remember that corresponding parts of congruent figures are congruent. It should be a fairly short proof)
Due:
A) Complete the "times table" for the isometries of a square that we started in class B) Study examples 1 and 2 p. 732 and 733, then work on p. 732 # 3 (bottom of the page),4,5 (top of page 733) +p. 734 # 6,7
I attached a pdf (blank copy) of the Cayley table, in case you need it. No need to print it. You can use the one that you started in class.
Due:
Due:
Please follow the instructions on the first page.
8
Note #1: ALL ROTATIONS are about the origin, unless otherwise specified
Note #2: For question #7, the y-intercept b of the line is the same "b" that you found in part 6.
8
Note #1: ALL ROTATIONS are about the origin, unless otherwise specified
Note #2: For question #7, the y-intercept b of the line is the same "b" that you found in part 6.
Due:
A) Complete the "Alphabetical symmetries" and the "Isometries" worksheets B) Practice workbook p. 124 # 1-5
Due:
Note: for exercise #7 page 120 use the following reasoning:
Call l the line that contains the driveway. You need to find a line n through M such that the image of C under the reflection over n is on the line l.
Note, you just need to draw a sketch of the situation. Finding the equation of the line is not necessary.
We will go over this exercise in class on Thursday, in case you find difficulties.
Call l the line that contains the driveway. You need to find a line n through M such that the image of C under the reflection over n is on the line l.
Note, you just need to draw a sketch of the situation. Finding the equation of the line is not necessary.
We will go over this exercise in class on Thursday, in case you find difficulties.
Due:
A) Practice workbook p. 118 (all exercises) + p. 119 exercises # 1-5 B) Given the line m of equation y=2x-4 and the point P=(5,7), find the equation of the line passing through P and perpendicular to line m.
Due:
Quiz #4. Go on GoFormative and complete Quiz #4. As soon as you start you will have 45 minutes to finish. The window for the quiz will open at 12.30pm (beginning of lunch) until 11.30pm tonight. You are allowed textbook, notes, homework, and calculators. You are not allowed to go on Desmos or other websites, nor you are allowed to receive or give any help from/to anyone (please be academically honest).
Due:
Note: for # 17-22 :
A) draw a picture
B) Write an equation
C) Solve for x
(See also example #2 p. 650)
A) draw a picture
B) Write an equation
C) Solve for x
(See also example #2 p. 650)
Due:
For #4 in the practice workbook, interpret the question in the following way: What are the measures of the angles that Keisha can draw? For example, she can surely draw a straight angle (180 degrees). What other angles can she draw? (Note: you cannot write all measures because they turn up to be infinitely many, but you can describe all of them in words).
Due:
Please upload a picture of your warmup here.
Due:
A) Go on GoFormative and complete the "Angle Bisector worksheet". B) Complete the worksheet in attachment "Centers of a triangle and the Euler Line". Upload a picture here.
IMPORTANT: Before you work on part (B) of the homework, please review how to construct the angle bisector in the Geometric Construction website (link shared in the last assignment).
Due:
A) Go on the Geometry Constructions website (first link below) and review how to construct the following: (a) perpendicular bisector (called "Line Segment Bisector and Right Angle" in the website), (b) Copy a Line Segment and (c) Same (Congruent) Angle, (d) Add Line Segments B) Solve exercises p. 621# 5,6,7,8 from section 16.1 and p.630# 1 and 3 from section 16.2 (If you have a compass, you can draw in your paper and then take a picture, or alternatively, you can use the "Constructions Tool" website, link #2, and take a snapshot of your drawing) C) Solve p. 631# 20,21,25 from section 16.2
Hello everyone,
I just removed two exercises about constructing the bisector of an angle, because we did not go over it in class. (If you already turned in the work with those exercises (good job!), know that I will assign those exercises next time, and you won't have to redo them)
MrG
I just removed two exercises about constructing the bisector of an angle, because we did not go over it in class. (If you already turned in the work with those exercises (good job!), know that I will assign those exercises next time, and you won't have to redo them)
MrG
Due:
Upload a picture of your warm up here.
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Due:
Go on GoFormative and complete the assignment "Homework (Exponential Equations and Functions)". You should see the correct answer right away. This is for you to have immediate feedback. The assignment will close Thursday at 11.55pm.
Sorry, I forgot to put this assignment on Google classroom yesterday, even if it was on GoFormative already. So I extended the due time to 11.55pm tomorrow (so you have the whole afternoon to work on it)
Due:
Go on GoFormative and complete the assignment "Homework (Exponential Functions)". You should see the correct answer right away. This is for you to have immediate feedback. The assignment will close Tuesday morning at 8.35am.
Due:
A) Complete exercises 7-12 on the worksheet shared in the previous homework (Graphing Exponential Functions). B) Practice Workbook p. 99 # 5-8 C) Solve: Suppose $1000 were invested in a savings account for college at the time a child was born. The average interest rate is 4% and is compounded quarterly (that is n=4). How much money will be in the college account when the child is 18 years old?
Due:
Complete exercises 1-6 in the worksheet below. (You can use your own paper, so you do not need to print the worksheet.) The other exercises (7-12) will be due on Thursday (02/18/21) but you can work on them if you want. If you do, please submit them with the next homework.
Due:
A) Practice Workbook p. 94 # 7,8,9 + p. 95 # 5,6,7 (for these three exercises graph the functions using the method that we used in class) B) Take a picture of your notes about Zeno's paradox and upload them here.
Due:
Practice Workbook p. 90 # 7-11 odd + p. 91 #1-5 odd +p. 93 # 3-9 odd Study for quiz (Multiple choice. It might cover everything, up to chapter 13, but will focus especially on topics from ch.11 to ch.13)
Due:
Due:
Please upload the warmup here.
Due:
Solve exercises p. 469 #11, p.471 #21 A and 21B, + p. 471# 22-24 + p. 473 #1,2 ("Reflect" section, at the bottom of the page)
Due:
For exercise #1: The "strange" brackets around x are a symbol to denote the FLOOR function (or GREATEST INTEGER function). The function works in the following way: the floor function of x is the biggest integer smaller than or equal to x. For example the floor function of x=6.4 is 6 (because 6 is the biggest integer, smaller than 6.4). The floor function of x=5 is 5 itself. However the floor function of x= - 5.2 is -6 (because the integer must be less than or equal to x).
Due:
Answer both questions on one side of one sheet of paper, then take a picture (or scan the paper) and upload it here.
Due:
QUIZ #6 Go on GoFormative after 12.30pm today (just in case, here is the code again: UWZJN4). You will see a quiz called "A1 Quiz 6 Period 1, 12/10/20". That is your quiz. Please read carefully the following: As soon as you start the quiz you will have 50 minutes to complete it. It is all multiple choice and you DO NOT have to show work. At the end of the 50 minutes (or at exactly 11.55pm, whichever comes first), the quiz will close, so you need to complete everything in that time frame. However, you can start the quiz any time between 12.30pm and 11.55pm. Make sure that you give yourself enough time. You are allowed: Textbook, notes, calculators, Desmos You are NOT allowed: Websites other than Desmos, any other form of help, including help from other people. BE ACADEMICALLY HONEST!! Needless to say (but I'll say it anyway): YOU ARE NOT ALLOWED TO DISCUSS THIS QUIZ WITH ANYONE, even after the quiz has been submitted!! Have fun with your quiz!!
Due:
PRACTICE WORKBOOK section 11.1 Practice and problem solving C (p.70) # 1-9 + section 11.2 Practice and problem solving A/B (p.71) # 1-9 + review for quiz
Sorry, I had written the wrong section. The pages are 70 and 71 (as stated), but I just corrected the sections. Now it's correct.
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We will go over the answers in class on Thursday after the quiz. The due time is Thursday at 3.30pm
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For #3 F read" 7g of fat" not "salt". (I fixed it now).
Due:
1) Use the data from exercise p. 379 #1 and #2 and do the following (Do not follow the directions of the exercises. Just do A-D below): A) Identify explanatory and response variables B) Draw and describe the scatterplot. C) Find the equation of the regression line D) Choose a value for the explanatory variable and predict the response using that variable. 2) Can you identify a prime suspect in the Case of the Missing Cookies? You can use 16.3cm as the size of the culprit's hand. For the heights and names, use the activity worksheet that I shared last time.
I linked a video that explains how to use Desmos to find the regression line and to calculate predictions.
Due:
Use Desmos and the data from exercises p. 360 #1,2,3,5, and 7 and do the following (do not follow the direction from the textbook, only the ones below): A) Identify the explanatory variable (x) and the response variable (y) (except for #1) B) Sketch the scatterplot C) Describe the scatterplot in context. (If there is no context, like in #1, just describe what you see)
Due:
For # 15-21 odd give two ordered pairs that are solutions (if there are solutions) and two that are not, instead of describing the solutions. (If you have already followed the direction from the book and submitted the work before reading this added instruction, you do not need to resubmit.)
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Due:
I JUST CORRECTED A MISTAKE in exercise #2. I substituted the paper and highlighted the correct version. "Take Home" quiz (quiz #4) (Period 1)
THIS IS A "TAKE HOME" QUIZ. Please follow the instructions at the top of the quiz. The due date is TODAY at 11.30pm.
Note: you do not need to copy the questions when you answer them. Just make sure that you clearly indicate what exercise you are solving.
Note: you do not need to copy the questions when you answer them. Just make sure that you clearly indicate what exercise you are solving.
Due:
For questions 9 and 10, compare only SLOPES and Y-INTERCEPTS. What I want you to do is to decide which function has the higher slope (and then which has the higher y-intercept) and what does it mean in context.
HERE IS AN EXAMPLE:
Suppose x is the number of movies and f(x) and g(x) are the cost (in dollars) of renting x movies in store A and B respectively. Both stores charge an initial fee and then a fee per movie rented. Suppose that f(x)=4x+2 and g(x)=2x+3. Then I would like you to write something like:
"The slope of store A (that is 4) is greater than the slope of store B (that is 2). Therefore store A charges more money per movie rented than store B. The y-intercept in store A (that is 2) is smaller that the y-intercept in store B (that is 3). Therefore store A charges a smaller initial fee than store B."
HERE IS AN EXAMPLE:
Suppose x is the number of movies and f(x) and g(x) are the cost (in dollars) of renting x movies in store A and B respectively. Both stores charge an initial fee and then a fee per movie rented. Suppose that f(x)=4x+2 and g(x)=2x+3. Then I would like you to write something like:
"The slope of store A (that is 4) is greater than the slope of store B (that is 2). Therefore store A charges more money per movie rented than store B. The y-intercept in store A (that is 2) is smaller that the y-intercept in store B (that is 3). Therefore store A charges a smaller initial fee than store B."
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Due:
A) Watch the following three videos about the three forms of the lines (slope-intercept, point-slope, standard). Many examples are the same as our textbook, so have the book with you while you watch the videos. Try to work out the exercises before they show the solutions. B)Solve the following exercises from your Practice workbook: p. 38 #1,2 + p. 39# 1-4 + p.42 # 1-4
Please submit a picture of the exercises.
Due:
Log in GoFormative (if you have not joined, go to goformative.com/join and use the code UWZJN4. Log in with your school email!) Work on the assignment "Slope and Intercepts of a linear equation". You can stop and logout any time you want, but when you are finished remember to click submit!
When you submit an answer that needs work you might see a blue disk. That means that I will need to score it manually. If you write an answer and you see a red disk, then either the answer is wrong, or you wrote it in a way that does not match my answer key. If this is the case, double check your answer, and if you think that you answered correctly, leave the answer red. I'll see your work anyway.
Note: This is an assignment and you will receive full credit for attempting each exercise (completion). The score that you see on GoFormative is for you to have an immediate feedback.
Note: This is an assignment and you will receive full credit for attempting each exercise (completion). The score that you see on GoFormative is for you to have an immediate feedback.
Due:
Watch the video in attachment about intercepts of a linear function. Take notes as you watch it. Then work on p. 179 # 1-12
(There is no need to submit your notes from the video) You need to submit only the exercises on page 179.
NOTE: There are two philosophies of thought about x- and y- intercepts:
- according to one, the x- and y- intercepts are numbers, namely the x- and the y-coordinates of the points of intersection (this is the definition in our book);
- according to the other, the intercepts are the actual points of intersection (I tend to agree with this one).
However, I will accept your answers whichever of these two points of view you choose to agree with. For example if the point of intersection of a line with the y-axis is (0,5), you can say that the y-intercept is y=5 or that it is the point (0,5).
NOTE: There are two philosophies of thought about x- and y- intercepts:
- according to one, the x- and y- intercepts are numbers, namely the x- and the y-coordinates of the points of intersection (this is the definition in our book);
- according to the other, the intercepts are the actual points of intersection (I tend to agree with this one).
However, I will accept your answers whichever of these two points of view you choose to agree with. For example if the point of intersection of a line with the y-axis is (0,5), you can say that the y-intercept is y=5 or that it is the point (0,5).
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Due:
Study section 4.1 P. 134 # 15-18 (top of the page, in the “Elaborate” section) + p. 134-135 (Homework and Practice) # 3-19 odd numbered exercises
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You do not need to print the worksheet if you don't want to. Just solve the exercises in your paper and then submit a picture as usual.
For question 3C: Change into " Use the graph to find how much time it takes the object to reach the ground and explain your reasoning."
For question 4D: Change the condition into:
E(3)=5
The domain of E(x) is [– 5,5]
The range of E(x) is [– 1,6]
For question 3C: Change into " Use the graph to find how much time it takes the object to reach the ground and explain your reasoning."
For question 4D: Change the condition into:
E(3)=5
The domain of E(x) is [– 5,5]
The range of E(x) is [– 1,6]
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Please record all your answers in the form attached
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1) Solve exercises p. 14 # 1-7 from Practice Workbook. Remember to graph your answer and write the solution in both set notation and interval notation. 2) Review old assignments to get ready for Thursday's quiz
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Submit a picture of your quiz when done (before the time is up)
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Hello everyone. I would like to have an "official" list of those of you who have reasons that prevent them from keeping their video on during class time. As I mentioned, if you do have problems keeping your video on, I would like to contact home and work with your parents/guardians to find alternative ways, for example, to assess your knowledge other than a "class quiz" where I cannot see you working, or other difficulties that might occur. Please let me know by filling in this form by Wednesday. If you are taking two classes with me, select all the classes that you are taking (you will be allowed to submit the form only once). In this case you can disregard the assignment listed for the "other" class. Thanks, MrG
Due:
1) Complete "A problem with baking" worksheet (link below). You do not need to print the worksheet. You can just submit a picture of your worked out answers. 2) Try and solve exercises p. 65 # 1-19 odd numbered exercises (from textbook)
Try to solve the exercises on page 65. On Monday let me know if you found difficulties. The due date is Monday at 11.59pm.
Due:
NOTE #1: Please show some work. Even if you ARE allowed to write on the practice workbook, you might not have enough space to show work, so you might want to use your own paper. You do not need to copy the text of the exercises in your own paper.
NOTE #2: Remember to introduce the variables that you are using if the exercise is a word-problem and the variables have not been already introduced in the exercise. (Note that for page 12, you need to introduce variables only in exercise #15)
NOTE #3: This assignment is due Thursday by 11.59 pm. If you have questions about it, you can also use Thursday's Office Hours and still be on time to turn in the work.
NOTE #2: Remember to introduce the variables that you are using if the exercise is a word-problem and the variables have not been already introduced in the exercise. (Note that for page 12, you need to introduce variables only in exercise #15)
NOTE #3: This assignment is due Thursday by 11.59 pm. If you have questions about it, you can also use Thursday's Office Hours and still be on time to turn in the work.
Due:
Try your best in solving the exercises, then take a picture and submit it in a google doc, like last time. If you have trouble inserting the picture in a google doc, you can also send the picture directly or scan the paper and send it as pdf.
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Solve exercises p. 52 # 1-12 + 21, 22, 24. Remember to introduce the variables using let statements and answer with a sentence if the question is asked in words. For exercises 1-8 you just need to write the equation. You do not need to solve it, unless you want to.
As usual, submit a picture of your work in a google doc, or (if that does not work), submit the picture itself or scan the paper in a pdf file.
Due:
Textbook: page 8 exercises # 3-14. Solve the equations showing all your steps. Then check your solutions by substituting. (You do not need to explain what property of equations you are using, but it's perfectly fine if you do)
When finished, please take a picture of your work, open a google doc, paste the picture in the google doc and submit. Don't forget to put your full name and period at the top of the paper before you take the picture.
Due:
Please fill in this form (by Friday) to confirm that you and your parents/guardians read the syllabus for this class.