4th p IMP SY22-23-Donalek 007 Assignments
- Instructors
- Term
- 2022-2023 School Year
- Department
- Mathematics Department
- Description
-
Upcoming Assignments
No upcoming assignments.
Past Assignments
Due:
Quadratic Formula Practice
Due:
REQUIRED Transform from Vertex Form to Standard Form Practice
Post photos of your work.
Due:
Complete parts 1 & 2 of the worksheet packet
Complete part 1, Fireworks, and part 2, draw the graph of the height of the rocket.
Use your notes. Add in words from these notes to the Vocabulary section.
The graph should contain:
the x and y axes
labels on the axes with the variables and units
evenly spaced numbers on the axes
the y-intercept
the vertex
the x-intercept
a smooth parabola
Come to my Ac Lab if your notes are not sufficient.
Use your notes. Add in words from these notes to the Vocabulary section.
The graph should contain:
the x and y axes
labels on the axes with the variables and units
evenly spaced numbers on the axes
the y-intercept
the vertex
the x-intercept
a smooth parabola
Come to my Ac Lab if your notes are not sufficient.
Due:
Task Presentation
Task Presentation Due: Friday, Nov. 18th
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:
Review for the quiz on factoring
Can you:
•factor a quadratic equation in standard form into factored form?
•factor when there is a coefficient on x^2?
•use factored form to solve for the X-intercepts of the parabola?
•define or explain the zero product property?
•explain how the zero product property is used when solving for the X-intercepts of a quadratic function in factored form?
•write a quadratic equation in factored form from the X-intercepts?
•convert that equation from standard form onto factored form?
•factor a quadratic equation in standard form into factored form?
•factor when there is a coefficient on x^2?
•use factored form to solve for the X-intercepts of the parabola?
•define or explain the zero product property?
•explain how the zero product property is used when solving for the X-intercepts of a quadratic function in factored form?
•write a quadratic equation in factored form from the X-intercepts?
•convert that equation from standard form onto factored form?
Due:
Rats Task Write Up
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) Due: Friday, Nov. 11th
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) Due: Friday, Nov. 11th
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:
REQUIRED: Intro to Factoring - Check Your Understanding
Due:
Rats Task Completion Part 2
Part 2: How many rats will there be on the following Jan. 1st? Due: Friday, Nov. 4thComplete the calculations for the rest of the year.
Upload images of your work.
Upload images of your work.
Due:
Rats: Task Completion Part 1
Part 1: Rats in June Due: Friday, October 28th
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 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 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:
CYU 10/26 Standard Form to Vertex Form & Area problems
Due:
CYU form - required
If you miss any of the first three problems about the area of the corral, please review your notes from class.
If you miss #4, changing from vertex form to standard form, watch the attached video and then do a few of the problems on the attached worksheet. The solutions are at the end so you can check your work. We will not have time in class to practice this further. You can get assistance on this topic from me or the tutors (in room 113) during Ac Lab.
If you miss #4, changing from vertex form to standard form, watch the attached video and then do a few of the problems on the attached worksheet. The solutions are at the end so you can check your work. We will not have time in class to practice this further. You can get assistance on this topic from me or the tutors (in room 113) during Ac Lab.
Due:
REQUIRED Check Your Understanding 10/17
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:
REQUIRED! Vertex Form to Standard Form Check Your Understanding Google Form
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:
Quiz on Friday: Review
I also added a link to some multiplying binomials practice. These are more complicated than the ones we've been doing in class, so they are excellent practice for mastering this skill! And the answers are at the bottom of the sheet, so you can check your work right away.
Due:
Vertex Form & Area Model Check Your Understanding
Due:
Vertex Form Worksheet
Please pick 2 from:
#1-4
#5-12
#16-19
And pick 1 from #13-15
#1-4
#5-12
#16-19
And pick 1 from #13-15
Due:
Who should we celebrate for Hispanic Heritage Month?
Due:
Review for the quiz
Due:
Domain, Range, Vertex Form Check Your Understanding
My Ac Lab will be open tomorrow.
The answers will post at 5pm on Thursday.
The answers will post at 5pm on Thursday.
Due:
A Corral Variation - Check Your Understanding
Solutions will be posted on Sunday at 5 pm. Feel free to come to Ac Lab tomorrow to work on this or anything we have done so far.
Due:
Check Your Understanding - Victory Celebration
Due:
Check Your Understanding problems for Solving Linear Equations
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.
Due:
Favorite Numbers
The American Pet Products Association estimated that there were
78 million dogs in the United States in 2016
Or 7.8 x 10^7 dogs
Find an interesting number fact to share with the class next time. This fact should include as much detail as possible or as you find interesting!
Put it into scientific notation.
Include your source.
Please upload a doc with your number fact or a photo of your fact written down.
The homework will not be graded, but I will check your work at the start of class and we will all be sharing our number facts.
78 million dogs in the United States in 2016
Or 7.8 x 10^7 dogs
Find an interesting number fact to share with the class next time. This fact should include as much detail as possible or as you find interesting!
Put it into scientific notation.
Include your source.
Please upload a doc with your number fact or a photo of your fact written down.
The homework will not be graded, but I will check your work at the start of class and we will all be sharing our number facts.