7thAC IMP2 SY22-23-Donalek 008 Assignments
- Instructors
- Term
- 2022-2023 School Year
- Department
- Mathematics Department
- Description
-
Upcoming Assignments
No upcoming assignments.
Past Assignments
Due:
Please write out the work simplifying the formula, like I did on the board. If you end up with a radical (aka square root) that can't be simplified, stop and leave it like that.
Due:
Task Presentation
The final step of completing this project is to create a presentation on the work and solution. The idea is that you can verbally explain your process and summarize your conclusion of the task. This will be a video of 1-2 minutes, turned in on Classroom.
The final step of completing this project is to create a presentation on the work and solution. The idea is that you can verbally explain your process and summarize your conclusion of the task. This will be a video of 1-2 minutes, turned in on Classroom.
Due:
Task Write Up: After completing the entire task for the year, you will need to do a write up of the problem, your process, and solution. The expectation is that you are able to represent the problem and communicate your ideas to someone else in your write up. This will be turned in via a Google Doc on classroom.
Task Write Up (1-2 pages)
Must include:
Problem Statement: State the problem clearly and in your own words. Your problem statement should be clear enough that someone unfamiliar with the problem could understand what you are being asked to do.
Process: Describe what you did in attempting to solve the problem. Use your notes as a reminder. Include things that didn’t work out or that seemed like a waste of time. Do this part of the write-up even if you didn’t solve the problem. If you get assistance of any kind on the problem, tell what the assistance was and how it helped you.
Solution: State your solution as clearly as you can. Explain how you know that your solution is correct and complete. If you obtained only a partial solution, give that. If you were able to generalize the problem, include your general results. Write your explanation in a way that will be convincing to someone else—even someone who initially disagrees with your answer.
Extensions: Invent some extensions or variations to the problem. That is, create some related problems. They can be easier, harder, or at a similar level of difficulty as the original problem. You don’t have to solve these additional problems.
Self-assessment: Tell what you learned from this problem. Be as specific as you can. Also assign yourself a grade for your work on this POW, and explain why you think you deserve that grade.
Task Write Up (1-2 pages)
Must include:
Problem Statement: State the problem clearly and in your own words. Your problem statement should be clear enough that someone unfamiliar with the problem could understand what you are being asked to do.
Process: Describe what you did in attempting to solve the problem. Use your notes as a reminder. Include things that didn’t work out or that seemed like a waste of time. Do this part of the write-up even if you didn’t solve the problem. If you get assistance of any kind on the problem, tell what the assistance was and how it helped you.
Solution: State your solution as clearly as you can. Explain how you know that your solution is correct and complete. If you obtained only a partial solution, give that. If you were able to generalize the problem, include your general results. Write your explanation in a way that will be convincing to someone else—even someone who initially disagrees with your answer.
Extensions: Invent some extensions or variations to the problem. That is, create some related problems. They can be easier, harder, or at a similar level of difficulty as the original problem. You don’t have to solve these additional problems.
Self-assessment: Tell what you learned from this problem. Be as specific as you can. Also assign yourself a grade for your work on this POW, and explain why you think you deserve that grade.
Due:
Part 2: How many rats will there be on the following Jan. 1st? Due: Friday, Nov. 11th
Complete the calculations for the rest of the year.
Upload images of your work.
Complete the calculations for the rest of the year.
Upload images of your work.
Due:
Part 1: Rats in June Due: Friday, November 4th
Introduction: A female rat will produce a litter of eight (four males and four females) every 50 days. Her female offspring will do the same, starting 110 days after her birth, and their female offspring will do the same, giving birth every 50 days. The female rat continues to give birth all year. The time period in question, one year, allows for several generations of females to begin reproducing. Your goal is to eventually find the total number of rats living on the island, including the original parents, after 1 year.
In this task you will create a model for the growth of rat populations while displaying systemic organization and representation of data. This task is meant to challenge your mathematical thinking, communication, and representation skills.
Details:
Two rats, one male and one female, scampered on board a ship anchored at a local dock. The ship set sail across the ocean. It reached a deserted island in late December. The rats abandoned the ship to make their home on the island. Given these ideal conditions, you can estimate the number of offspring produced from this pair of rats in one year.
To do so, make these four assumptions.
The original female gives birth to eight young on January 1. She produces another litter of eight rats every 50 days thereafter as long as she lives.
Each female rat born on the island will produce her first litter of eight young 110 days after her birth. She will produce a new litter of eight rats every 50 days thereafter.
Every litter has four males and four females.
The rats have no natural enemies on the island and plenty of food. This means that no rats die in the first year.
How many rats will live on the island by the following January 1, including the original pair?
For this Part 1:
Begin by finding how many rats there will be by June 1st. Be sure to show your work on how you found the totals and carefully organize your work so that I can understand it.
Copies of this assignment are available in my classroom. You will have time to work on this during class on the 19th.
Introduction: A female rat will produce a litter of eight (four males and four females) every 50 days. Her female offspring will do the same, starting 110 days after her birth, and their female offspring will do the same, giving birth every 50 days. The female rat continues to give birth all year. The time period in question, one year, allows for several generations of females to begin reproducing. Your goal is to eventually find the total number of rats living on the island, including the original parents, after 1 year.
In this task you will create a model for the growth of rat populations while displaying systemic organization and representation of data. This task is meant to challenge your mathematical thinking, communication, and representation skills.
Details:
Two rats, one male and one female, scampered on board a ship anchored at a local dock. The ship set sail across the ocean. It reached a deserted island in late December. The rats abandoned the ship to make their home on the island. Given these ideal conditions, you can estimate the number of offspring produced from this pair of rats in one year.
To do so, make these four assumptions.
The original female gives birth to eight young on January 1. She produces another litter of eight rats every 50 days thereafter as long as she lives.
Each female rat born on the island will produce her first litter of eight young 110 days after her birth. She will produce a new litter of eight rats every 50 days thereafter.
Every litter has four males and four females.
The rats have no natural enemies on the island and plenty of food. This means that no rats die in the first year.
How many rats will live on the island by the following January 1, including the original pair?
For this Part 1:
Begin by finding how many rats there will be by June 1st. Be sure to show your work on how you found the totals and carefully organize your work so that I can understand it.
Copies of this assignment are available in my classroom. You will have time to work on this during class on the 19th.
Due:
5 multiple choice questions
If you miss any of #1-3, review the problem, attached as "Farmer Minh".
If you struggle with #4 or 5, watch the Khan Academy video, "Example 1: completing the square". and do a few of the "Completing the Square (Intro)" practice problems.
If you miss any of #1-3, review the problem, attached as "Farmer Minh".
If you struggle with #4 or 5, watch the Khan Academy video, "Example 1: completing the square". and do a few of the "Completing the Square (Intro)" practice problems.
Due:
Only 5 questions
If you miss #1, please watch the Khan Academy video, "Squaring binomials of the form (x+a)^2), and practice using the worksheet, "
Multiplying Special Case Polynomials".
If you miss #2, read the page, "Quadratic Function - Standard Form, ..." through the Vertex of a Quadratic Function, and then stop.
If you miss #3 or #4, read and watch the video on "How do you convert a quadratic equation from Vertex Form to Standard Form?" on the Virtual Nerd website.
If you miss #5, watch the Khan Academy video, "Example 1: completing the square". and do a few of the "Completing the Square (Intro)" practice problems.
If you miss #1, please watch the Khan Academy video, "Squaring binomials of the form (x+a)^2), and practice using the worksheet, "
Multiplying Special Case Polynomials".
If you miss #2, read the page, "Quadratic Function - Standard Form, ..." through the Vertex of a Quadratic Function, and then stop.
If you miss #3 or #4, read and watch the video on "How do you convert a quadratic equation from Vertex Form to Standard Form?" on the Virtual Nerd website.
If you miss #5, watch the Khan Academy video, "Example 1: completing the square". and do a few of the "Completing the Square (Intro)" practice problems.
Due:
Please write several comments on this document. Let me know what makes sense and that you feel you've mastered or have 75% mastered. And let me know where you feel stuck or uncertain. And ask questions!
See y'all next week.
See y'all next week.
Due:
My Ac Lab is open.
Answers will post at 2:35 pm.
Answers will post at 2:35 pm.
Due:
Try out the problems in the "Victory Celebration - Check Your Understanding" document. I expect that you will come into class on Thursday with questions, email me, or that you have mastered the content.
The answers will post at 8:30 pm Thursday for you to check your work.
The answers will post at 8:30 pm Thursday for you to check your work.
Due:
If you're still struggling with these problems, do not worry. It's totally understandable. These systems are some of the most difficult skills from Algebra 1. Please take a look at the attached document and try them out. Come to my Ac Lab on Friday to work through them with some assistance.
This is not for a grade, but for you to advance your understanding.
This is not for a grade, but for you to advance your understanding.
Due:
Come to Ac Lab if you're stuck on #1 or 2.
#3 is a new kind of situation, but you still write two equations and solve for the two variables using substitution or elimination. Use Guess and Check if you get stuck. Everyone should try #3, but don't worry if you don't get it 100% or even 50%. I just want to see that you tried it, at least. We will go over #3 in class.
I will go around and check on your work at the start of class.
#3 is a new kind of situation, but you still write two equations and solve for the two variables using substitution or elimination. Use Guess and Check if you get stuck. Everyone should try #3, but don't worry if you don't get it 100% or even 50%. I just want to see that you tried it, at least. We will go over #3 in class.
I will go around and check on your work at the start of class.