Intro to Algebra 1 Spring Semester

Final Exam second chance- attempt to correct your errors, then resubmit your exam for a higher grade. You may use only your textbook and notes. Unlimited time. But no adult or internet help. Due date CHANGE: DUE next week with all your other homework.
Show your parents your weekly record sheet with your plan for studying and mastering your multiplication tables. Study for a test on those as well as a multiplication test. Mark off that you studied on your weekly record sheet
McD 6.4, 6.5
- 6.4 DO pg 291-291 PP# choose 5 odd problems that you haven’t done yet. You can go to previous HW pages to find video refreshers.
- 6.5 If necessary, re-read the examples for this section, then do PP# 8-12 evens, 15, 19, 21 SQUARE skip #8 and instead also attempt #13
Make flash cards for perfect squares for 1-15 (1 x 1 = 1, 2 x 2 =4, 3 x 3 = 9 etc). Study for a test on those as well as a multiplication test. Mark off that you studied on your weekly record sheet
Review how to calculate simple percentages in your head with Mario

HW Part 2 of 4

McD 6.7 basic probability P(event) = # desired outcomes/ # possible outcomes PREVIEW
- Re-read examples in this section especially odds in favor and odds against pg 306-208.
- Video resource: Watch and take notes Theoretical and Experimental Probability Math Antics Probability
McD 6.6 Scale Drawings — Make a scale drawing of your room. What is the scale factor of your drawing? (model or drawing dimesion/ actual item)
Preview: McD 6.8 The Counting Principle- Tree Diagrams WE didn’t GET TO THIS on WEDNESDAY—so this is just a preview. HW problems moved to next week.
- Re-read page 313-314 (we will do this in class on Wednesday)
- Video resources: Watch and take notes: Moo Moo Math Compound Events Tree diagram Moo Moo Math https://www.youtube.com/watch?v=yxJi5vuO_wU
10 minutes studying for the multiplication quiz. Mark off that you studied on your weekly record sheet

HW Part 3 of 4: McD 7.2 & 7.4 Percents…

Finish the first page of the handout I gave you in class on Tuesday (“Calculating Percentages of Numbers: Mental Computations” (p. SB 283) Show your mental steps when possible so I can understand your thinking then check your work with a calculator.
More Percent problems McD Appendix 3 page 829 do odds 1-21. Some versions of McD don’t have these appendix pages so I have a PDF of it for you here: APPENDIX and the answers. (Note- the appendix pdf is several pages but you only need to look at 828-829).

If you are struggling with percent problems here’s a second long but good Dr. Dan summary on how to use proportions and percents in word problems

Dr. Dan video #51: https://www.youtube.com/watch?v=50cCWoIKon8 (28 minutes)

10 minutes studying for the multiplication quiz. Mark off that you studied on your weekly record sheet

HW Part 4 of 4

Study using your flash cards for perfect squares for 1-15 (1 x 1 = 1, 2 x 2 =4, 3 x 3 = 9 etc). Study for a test on those as well as a multiplication test. Mark off that you studied on your weekly record sheet
Review Simple Interest = prt Watch and take notes on this video on how to calculate simple interest: Interest = prt video by Mario on simple interest
Play with Desmos.com graphing calculator— to start learning about linear equations

Type in different equations of a line (linear equations) in the format y = mx + b. Change the “m” the coefficient in front of x which represents slope and change the “b” which is the y-intercept. Example type in y=3x +1, then y =4x+1 Then try changing just the b. What happens? Try whole numbers, fractions, positive and negative integers. Your goal is to be able to look at an equation of a line in y = mx +b (slope-intercept form) and accurately predict what the graph looks like BEFORE you type it into the graphing calculator.

Your parents need to initial your multiplication weekly record sheet verifying that you indeed studied 5 days this week (6th day gives you extra points).

Correct work, redo missed problems as usual. Highlight problems on your HW sheet which you want to review in class

Week 16 - January 30/31

Spring Quizzes and Tests Schedule

Perfect Squares Quiz This Week

Concepts for Intro to Algebra

McD Chp 7 Percents
Intro to Chp 8 Graphs of functions, equations of lines
Reinforcing circle relationships — what is Pi

Class Summary

Simple interest…. what’s my balance on an account if it has accrued simple interest? Account balance = P + I or P + PRT (which can also be factored and written as Account Balance = P (1+RT)
Volume of rectangular prisms V=Base area x height. Volume of pyramids and cones = 1/3 Bh
Review of exponents (especially negative ones)
The Counting Principle- Tree Diagrams - introduction
Relations and Functions Intro
Graphing lines using a table of solutions
Developing fluency with percents (McD 7.4).
- percent proportion a/b=p/100
- percent equation a = p% of b
  Getting comfortable with manipulating these two formulas is probably the second-hardest concept in all of pre-algebra so we’re going to sit with this for a month and really wrap our heads around it before we move on to the rest of chp 7. It doesn’t really matter which formula/method the students use (percent proportion or percent equation). Whichever one clicks in their minds best is fine. I’ll keep posting new videos of these as I find them. (The first hardest concept what’s in the rest of chp 7— percent increase and decrease, finding commissions, original prices and sales prices etc.) But this is also some of the most useful content that students will use! In order to let this steep in their minds we’re not moving on to 7.5 and 7.6 until at least March. Instead, we’re jumping to graphing lines in chp 8 and working with right triangles in chp 9.

HW Week 16 -

I still need to get a new Farm School Desmos INVITATION CODE — I’ll post that by Saturday night

HW Part 1 of 4

Show your parents your weekly record sheet with your plan for studying and mastering your multiplication tables. Study for a test on those as well as a multiplication test. Mark off that you studied on your weekly record sheet

McD 9.3 Pythagorean Theorem Problems - Do pg 467-468 #9, 11, 14, 20, 22, 42 SQUARE#44 PENTAGON #35 even answers: #14 yes, 20. hint remember the concrete slab example? Please remind me to discuss this in class. 42. 24 meals, 44. explain how you use the Pythagorean theorem to solve this.

Optional video resource on how to simplify square roots: Simplifying Square Roots Part 1 by Art of Problem Solving

McD 6.8 The Counting Principle- Tree Diagrams…. we did not get to this in class this week so make sure you watch the video

Video resources: Watch and take notes: Kevin Dorey video https://www.youtube.com/watch?v=Iybt-PMPfQ0

Do pg 315 GP #3-6 , PP#7, 9 (evens 4. 75 outfits, 6-2 8 outcomes, 6-3 2 favorable outcomes 6-4 1/4

McD 8.1 - Relations and Functions

Watch these two videos to help you recall how to determine if a relation is a special type of relation called a FUNCTION. We talked about how a function is like a marriage — a special type of relationship. Each x corresponds to only one y. The example we used is that at one exact moment in time (x) one can not be two different heights (y). (We’ll revisit this in Algebra 1 chp 8.)
- How to determine if an equation or set of data represents a function? Four ways to determine if an equation or set of ordered pairs represents a FUNCTION here
- Input & Output Tables Math Antics Video about functions inputs & output table
Do McD 8.1 When is a relation a function (like when is a rectangle a square?) pg 387 GP #1-5 odds

HW Part 2 of 4

McD 7.7 Simple Interest = PRT and Balance of Account = P + PRT or P (1+RT)

Read 7.7 page 363 through example 2 (you do not need to read about compound interest yet. We’ll get there but not yet.)
Do the rest of the problems [section B- solve for any missing variable in the equation and problems 15-17 section C] where you find the balance of the account -that’s the principle plus the interest- of the light green PDF from last week (it’s this handout)] Again, you’ll need to write the problem on another page and then show your work there. Solutions are on pages 3-5.
Optional Review Video: Calculating Simple Interest: Interest = Prt video by Mario on simple interest and
Optional Review Video: Solving for the account balance (A) or R or T or P. The first 7:30 minutes of this video are also good —> organic chemistry tutor do several simple interest problems including ones where you are solving for the rate (r) or t (time in years to earn a certain amount of interest). Note you can stop watching after around 7:30 as the last 3 minutes is an advertisement for an algebra course)

Most of the loans and opportunities to earn interest on your own money pay COMPOUND interest, which we will learn about soon. Simple interest is much easier to compute and wrap your mind around initially so we start with that.

Re-Read 7.7 page 362 & read pg 363 this time too.

Do pg 362 checkpoint #2 & 3, pg 364 guided practice #3 & 5.

Do the second page of this handout. You’ll need to write the problem on another page and then show your work there. (This is a 2 page handout. Today we’re doing the second half -solving for any missing value in the I=PRT equations and how to calculate the balance. Solutions are on pages 3-5.)

HW Part 3 of 4

Video review solving equations with multiple steps and fractions with Mario. Pause and try the problem before he finishes it.

McD 8.1 Relations & Functions - Desmos Activity NEEDS NEW FS DESMOS INVITATION CODE— this will be here by Saturday evening— updated 2/2.

Desmos function activity called “Guess My Rule.” It’s a lot like our Mr. Function Fox’s Box.

You can join our FS Desmos Pre-algebra class using this code— new code to be posted here (Note: When you sign in to online stuff, don’t use your real name. Choose a pseudonym yet one that I can figure out who you are.)
Once you’re in our Desmos class you’ll see the function activity “Guess My Rule”

McD 8.2 Graphing lines using a table of solutions pg 394-5 PP# 1-9 odds, PENTAGON also do 11 Here’s a graphing form with six coordinate planes on it that you may like.

HW Part 4 of 4

McD 7.4 Percent Equation— these are challenging so we’re going to do these kinds of problems for all of February to achieve proficiency.

There are three basic types of percent problems take notes on this video: watch Richard of AoPs review how to solve these three basic problems.
- What is this percent of that? Example What is 30% of 120?
- What percent of this is that? What percent is 88 of 33?
- This is that percent of what number? 42 is 150% of what number?
Do pg 347-9 PP# 14-19 all, 23, 42-43. SQUARE also do #25-27, PENTAGON skip 25 and do #29 instead
even answers 14) 75, 16) 265%, 18) 780 CDs 42) c

Recommended: spend 10 minutes this week on the app Dragon Box Algebra 12+. It is an excellent algebra app which gives you a chance to learn the rules of algebra in a video game format without words.