Intro to Algebra 1 Spring Semester
Week 17-18 HW February 13/14 & 27/28
Week 17 HW February 13/14 Concepts for Intro to Algebra
February Break is 2/15- 2/26— no classes, then class resumes February 27/28
Class Summary: Solidifying basic probability and finding odds in favor and odds against, scale factors, intro to graphing lines - equation of a vertical lines is x= some number — the spot on the x-axis never changes. What about if y = some number and never changes? Percent of Change
Chp 8 Graphing Linear Equations
Chp 7 Solidifying understanding of percent applications
Chp 6 Probability and Proportions
HW Week 17 — February 13/14
HW Part 1 of 4
Work your multiplication mastery plan. Remember to have your parents sign it on Monday verifying that you studied 5 days a week.
Correct your fall semester final exam using the SOLUTIONS HERE for Fall Semester Final
McD 8.1 When is a relation a function? pg. 388-390 Do PP# 9, 15, 22, 35, 37, SQUARE 23 & 24 PENTAGON skip #9 and do 37 instead
even answers: 24a) increase; decrease, 24b) Domain represents the ltitue in feet of th skydiver during the jump, and inclues the values from 0 to 12,000. While the range represents the air pressure the skydiver experiences during the jump in pounds per square foot and includes the values from 1350-2125. 24c) Yes the relation is a function because for any altitude (input) there is exactly one air pressure (output). AND the graph passes the vertical line test (this is the easiest way to see if a relation is a function) 24d) about 1900 feet
McD 8.2 Linear Equations in two variables
Re-read pages 319-393 — this is a lot of information to take in at once!
Watch these two videos and take notes (your notes are part of your homework)
Graphing on a Coordinate Plane Math Antics Video about Graphing on a Coordinate Plane
Does a given ordered pair represent a solution to this linear equation? (Math 8 Section 2.1) Is a given ordered pair a solution of a linear equation?
HW Part 2 of 4
even answers to p. 315-6 2)With each of the three rolls, there are six possible outcomes, so the total number of possible outcomes by the counting principle is 6x6x6 =216. 8) 18 divisions, 10) sample answer Using the counting principle, the student should multiply the possiblities, not add them, so the possible number of outfits is 3x3=9
VIDEO REVIEW: Watch and take notes How to use the percent equation a = p % of b with Mario. Pause video and try to do the problem before he shows you how.
McD 8.2 Linear Equations in two variables…
Watch this video and take notes (your notes are part of your homework) Math Antics Slope and Distance of a line (slope = RISE / RUN or change in y over change in x or )
Do these checkpoints for the examples: pg 391 #1, 2, pg 392 #7, 8, 10. (2. yes, 8.— I’ll show you this graph and check point 10 in class the next time we meet for class, 10. y = 2/3x -1)
Then after reading example 4, go to https://www.desmos.com/calculator .
Type in these equations of a line: y = 2 and y = -3, what kinds of lines are these?
Now also on Desmos, make a graphs of the line x =2, and x = -3. What kinds of lines are these?
Type in an equation in the form y=mx+b. Try different numbers for m. Then try different numbers for b. What happens? How do you make the line steeper? How do you make it shallower
McD 6.6 & 6.8 The Counting Principle- Tree Diagrams
McD 6.8 The Counting Principle- Tree Diagrams
Video resources: Watch a Compound Events Tree Diagram with Organic Chemistry Tutor
Do pg 315-6 #1, 2, 8, 10, 11 (even answers: above. Try them first before looking at the answers
HW Part 3 of 4:
McD 9.2 Square Roots— instead of using decimals, use simplest radical form (leave the non-perfect square part under the radical sign and pull out the perfect squares)
Re-read 9.2 pages 458-459
Download and print this handout “Square Roots in Simplest Radical Form” (9 problems total. Answer key is on the second page. Remember to show your work.)
SQUARE Watch Richard from AoPs Square Root of a PRODUCT (this only works for multiplication of square roots!)
HW Part 4 of 4
10 minutes studying for the multiplication quiz. 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.
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.
REVIEW percents by taking notes on these two videos:
Percent equation from Mario (slightly different than his video you watch for part 2)
Correct work, redo missed problems as usual. Highlight problems on your HW sheet which you want to review in class. Make sure you fill out your self-assessment AT HOME so you can turn in your homework promptly the moment class starts or before.
Week 18 - February 27/28
This week is after our February Break— no classes, then class resumes February 27/28
Click the button below to join our Desmos Farm School classroom to finish the Desmos activities I’ve assigned.
HW Week 18
Solutions to ALL even problems on this homework set are HERE — (this same set is linked below multiple times)
While we have videos for this homework, we didn’t go over all of it this week. That was my mistake. I was planning this week’s lesson while helping my dad after the funeral and I didn’t get your concepts into the lesson plan fully. So, if anyone needs help with this homework, I’m available on Monday afternoon. Call me and we can figure out a time. (I’m blocking out 2:30 - 3:30 but can be available after that.)
We’ll also have instruction on all the new parts in week 19, March 5th.
HW Part 1 of 4
McD 7.7 Percents and Interest: Finish the interest compounded annually handout SOLUTIONS HERE
McD chp 8 Graphing Lines - Desmos Use the black button above to get into our Desmos classroom OR Go to student.desmos.com and type in: 3dyjru— Next do the activity “Put the Point on the Line”
HW Part 2 of 4
McD 8.2 Graphing linear equations and checking solutions
Re-read ex 1 on page 391, then do pg PP#13, 15 (If you need a refresher, here’s short video on this: Does a given ordered pair represent a solution to this linear equation? (Math 8 Section 2.1) Is a given ordered pair a solution of a linear equation?)
Re-read pg 393, then do pg 394 PP# 19, 23, 27, 31. Remember to use the vertical line test to test if the relation (line made by the equation is a function.) You can use Desmos.com to check your graph.
McD 8.3 Intercepts (Day 1 — meaning this is the first day I’m giving you homework on this material)
Re-read p. 398-399. Watch 13 minute video with Prof. Rob https://www.youtube.com/watch?v=xyVJZKu7Euw&list=PLGbL7EvScmU7ZqJW4HumYdDYv12Wt3yOk&index=42
Do pg. 400 GP 1-9 odds, PP#11, 13, SQUARE 19
Optional video: Joann explains how to find x & y intercepts visually https://www.youtube.com/watch?v=sCcDHQyInRE
HW Part 3 of 4
McD 8.4 Slope (Day 1 — meaning this is the first day I’m giving you homework on this material)
Do the investigation on pg 403 “Concept Activity: Investigating Slope”
Watch and take notes this video(Include notes in HW): Equation of a line, slope intercept form, functions, perpendicular lines & horizontal lines Math Antics Basics of Linear Functions
Read 404-406
Do pg 407-408 GP 1, 5, 6 PP#22, 23 (22. slope = 2) even answers are HERE
Desmos Activities:
Attempt an assignment called “Which is Steepest?” (which is about slope)
Pull out your multiplication flash cards. Which facts are you slower at? Work on 4 of your slower facts every day this week. Ask a sibling or friend or parent to quiz you.
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.