---
tags: 225-spr22, mth225, lt-quiz
---
# Learning Target Quiz 2
:::info
This quiz contains *new versions of questions* for **Learning Targets 1 and 2** and *new questions* for **Learning Targets 3 and 4**.
* It's to your advantage to attempt as many problems as possible. But you *do not* need to attempt all the problems. Only attempt the ones you believe you are ready to take.
* Do your work on separate pages with **each Learning Target on its own separate page**. *Please do not put multiple Learning Targets on the same page.*
* Make sure to consult the [Standards for Assessments in MTH 225](/KoT83ezHRYO3DqPyXMMMag) document before starting on your work, so you're clear on what is expected and what constitutes a "successful" attempt.
* When you are done: **Scan** each Learning Target to a clear, legible, black-and-white PDF and **upload the PDF** to the designated folder on Blackboard. Remember *do not just take a picture with your camera* --- use a scanning app to create a PDF, and upload the PDF.
:::
## Learning Target 1
:::warning
I can represent an integer in base 2, 8, 10, and 16 including negative integers in base 2.
:::
Do **all** of the following:
1. Convert the base 10 integer $167$ to binary. *Show your work and circle your answer*.
2. Convert the base 16 integer $55FA$ to decimal. *Show your work and circle your answer*.
3. Convert the base 2 integer `10011000` to octal. *Show your work and circle your answer*.
4. The 8-bit binary representation of the decimal number $121$ is `01111001`. Write the 8-bit binary representation of $-121$ using two's complement notation. *Show your work and circle your answer*.
**Success criteria:** All four answers are correct, and the work leading to each answer is clear and legible. Up to two simple errors are allowed.
## Learning Target 2
:::warning
(**CORE**) I can add, subtract, multiply, and divide numbers in base 2.
:::
Do **all** of the following:
1. Add the base-2 integers `11001011` and `10010110`. *Show your work and circle your answer*.
2. Subtract the base-2 integers `11001011` and `10010110`. *Show your work and circle your answer*.
3. Multiply the base-2 integers `10101` and `11`. *Show your work and circle your answer*.
4. Divide the base-2 integer `11000110` by `10`. *Show your work and circle your answer*.
**Success criteria:** All four answers are correct, and the work leading to each answer is clear and legible. Up to two simple errors are allowed.
## Learning Target 3
:::warning
(**CORE**) Given a conditional statement, I can state its hypothesis, conclusion, negation, converse, inverse, and contrapositive.
:::
Consider the conditional statement: *If $n$ is even, then its binary representation ends in a 0.*
1. State the **hypothesis** of this statement.
2. State the **conclusion** of this statement.
3. State the **converse** of this statement.
4. State the **inverse** of this statement.
5. State the **contrapositive** of this statement.
6. State the **negation** of this statement (without simply putting "Not" or "It is not the case that" in the front of the statement).
**Success criteria:** All answers are given in clear and correct English (*not* in symbolic notation). The negation and contrapositive must be correct, and no more than one error is allowed in the others.
## Learning Target 4
:::warning
I can construct a truth table for propositions involving 2, 3, or 4 statements.
:::
Construct a correct truth table for each of the following statements.
1. $\neg (p \wedge q)$
2. $p \rightarrow (q \vee r)$
**Success criteria:** Both truth tables have the correct number of rows with no duplicated rows. All intermediate columns are shown. No more than three total errors are permitted. (If you make a mistake in an intermediate column but the rest of the row is correct given that mistake, then the mistake only counts once.)

This quiz contains the second version of Foundational Skill LA.1 and the first version of Skill LA.2. Instructions: If you had a "Success" mark on Skill LA.1 from the first quiz, do not do the problem for that skill again. Make sure to consult the Standards for Student Work in MTH 302 document before starting on your work, so you're clear on what is expected and what constitutes a "successful" attempt. Also check the Success criteria below each problem. This week's quiz is done entirely asynchronously since we are not meeting as a class. Please submit your work on Blackboard by 11:59pm ET Monday, January 30. As before, you may hand-write your work on paper, hand-write it in a notes app, or type it up. But for this and all subsequent quizzes, put the work for each Foundational Skill on its own page. So, if you are doing both LA.1 and LA.2, put the work for LA.1 on a different page than the work for LA.2. Do not put both problems on the same page. When you are ready to submit your work: Scan your handwritten work to a clear, legible, black-and-white PDF using a scanner or scanning app -- one PDF per problem. So if you are doing both problems, you will have two PDFs: one for Skill LA.1 and another for Skill LA.2 (all parts). Then, upload each PDF to its designated folder on Blackboard: The PDF for Skill LA.1 goes into the folder for Skill LA.1, and the PDF for Skill LA.2 goes into the folder for Skill LA.2. Make sure to click "Submit" on each before exiting. Your work will be graded on Blackboard, receiving a mark of either Success or Revise along with feedback. If you need to Revise, a new version of each of these skills will appear on Skill Quiz 3.

1/27/2023Overview In this miniproject you will learn about Markov chains and use them to make predictions about long term trends in population growth and US voter activity. Prerequisites: You'll need to know how to multiply a matrix times a vector, both by hand and using SymPy. Initial deadline: Sunday, February 5 at 11:59pm ET.. This is the deadline for all first drafts of your solution. If you turn in a good-faith effort at a complete and correct solution by this date, you may continue to revise and resubmit as needed with no additional deadlines, until the final deadline of 11:59pm ET Sunday April 16. However, no first drafts will be accepted after the initial deadline. Background Complete the following before beginning this miniproject. These are not to be turned in! But you won't get far on the assignment without doing them.

1/25/2023Grading on your work from Quiz 10 is now complete! As we head into the final last-chance quiz on Tuesday and the mini-quiz on Friday, here are some notes for you that might be useful if you will be participating in either of those. Where we are Here is a chart that shows your current status (as of Thursday afternoon) on each of the learning targets. This is a combined chart with both Sections 03 and 04: Green means the standard has been met. Blue means that one successful demonstration of skill has happened, but not a second one. Yellow means that there have been attempts at the standard but none have been successful so far. And gray means that the standard has no attempts so far. Two takeaways from this chart: Standards P.1 through DR.1 are in good shape. All students have now met standards P.1, G.1, and G.2 (so you will not be seeing those on any more quizzes).

12/8/2022:::info This quiz contains new versions of all content standards except the ones that all students have met. Instructions Work only the problems that you need to work and feel ready to work. Do your work on separate pages with each Content Skill Standard on its own separate page. Please do not put work for multiple Standards on the same page. Make sure to consult the Specifications for Student Work in MTH 325 document before starting on your work, so you're clear on what is expected and what constitutes a "successful" attempt. Also, make sure to carefully read the Success Criteria below each problem to know exactly what is expected from that problem. When you are done: Scan each Learning Target to a clear, legible, black-and-white PDF and upload the PDF to the designated folder on Blackboard. Please do not just take a picture with your camera --- use a scanning app to create a PDF, and upload the PDF. You can also type up your work and save to a PDF if you want; or use a notes app on a tablet to handwrite your work and save that to a PDF.

12/5/2022
Published on ** HackMD**