Algebra 1 Fall Semester, 2023
Week 5 & 6 HW for October 2/3 & 24/25
Tests & Quizzes Coming Up
This Week (week 5)- Quiz on Wednesday 2.1-2.3 Checkpoint Quiz #1
Week 6 - Wed Test Chp 2 and 1 (but not on motion problems, though there might be a motion problem as a bonus question) — you may use your chp 2 and chp 1 practice tests on the real test as well as your IMPS and HW/CW
Week 5 HW— October 2/3
No classes next week— that’s fall break— so you have two weeks to do this homework.
There is MORE homework than in a typical week. This is because we have a truncated semester (14 weeks versus 16 or 18 weeks, so we need to do more in less time. But the trade off is that we get more and longer breaks).
Prentice Hall Algebra 1 HW - calculators okay
Concepts: Linear Equations, Exponents, Motion problems, transforming formulas, adding and sub. Polynomials & Intro to slope.
Other Tasks:
GPO: Have parents sign your Grade Print Out (GPO)
Print out a new table of contents form
Print out additional HW self-assessment forms
Optional: You may want to print out some of the coordinate plane work paper too
PH Chp 1 Practice Test- Learning from our mistakes. Redo missed problems from Practice Test - Chp 1
Fix the problems you missed. Write down what your error was (sign error? misunderstood concept? arthimetic error? skipped a step? Forgot vocab? Just didn’t know how to do it?) Attempt it first by looking at the examples in the textbook. Chp 1 TEST SOLUTIONS ARE HERE
THEN Do 5 problems for each problem you missed on the test so that you understand those types of problems. You’ll notice that the test solutions pdf has an answer page which lists exactly what section and example matches the test problem and what HW problems are suitable to practice that skill/concept.
See Algebra resource page under chapter 1 for ANSWERS to all chp 1 problems (for your self-selected practice problems which you need more practice on )
PH 2-5 D=RT Motion in the Same Direction Problems …. (1 problem) We’ll take a break from these after this week and revisit them at the end of year.
HW pg 105-109 Reread Example 3. Watch or rewatch one of the videos below. Then do this D=RT Same Motion“Dirt” problem: pg. 108 #10 — a chart may help you organize your information. (PENTAGON students did this last week. PENTAGON try #21 instead)
See Algebra resource page under chapter 2 for ANSWERS
Video options (from last week)
A —Traveling in the same direction video from My Math Source
B - another video example Mr. Kumar’s explanation of how to figure out how to define the variables is really good. (8 minutes)
C -Traveling in the same direction problem video with Mario - similar to example 2 on page 168 of Orange textbook (Alg 1 Structures and Methods) (often the distance both objects travel is the
PH 2-6 Transforming Formulas & Deducing Geometric formulas (20 problems)
HW pg 111-115 Reread Examples 1-4.Then do the Check understanding#1-4 following each example. Also do pg 113-114#1-8, 17-28, 41 SQUARE also do 44, PENTAGON also do 45 & 46
See Algebra resource page under chapter 2 for ANSWERS
PH 2-6 Extension Deducing Geometric formulas (9 problems)
HW pg 116-117 Read these examples on both pages. Then do Exercises #1-4, 6, 9-11, 14 (Calculator okay!)
See Algebra resource page under chapter 2 for ANSWERS
PH 2-7 Measures of Central Tendency (5 problems)
HW pg 118-121 Read these examples. Then do the Check Understanding problems for each example: #1-5.
VIDEO: Watch one of the first two videos on stem and leaf plots
review 3 minute video by MySecretMathTutor
Stem and leaf plot video -3 minutes by Moo Moo Math and Science
OPTIONAL More advanced stem and leaf plot 13 minute video
PH 6-1 Slope and Slope Intercept
HW pg 282-288 Read the examples. Do Pg 286-288 #1, 3, 8, 22, ,23, 28, 29, 40
See Algebra resource page under chapter 6 for ANSWERS
CW SB Graph Linear Equation using xy chart or table (review)
CW SB 157, 160 – solve for y first to get the equation in slope intercept form y = mx +b or use and xy table
CW SB 163-4
UPDATE— we’re changing these to work for next week: CW SB 165-66 odds & CW SB 167 & 168
PH 6-2 Slope Intercept Form
This is a review from last year for most students.
HW pg 291-295. First take notes on the videos below to reinforce the work we did in class and to remind you of what you studied last year. After taking notes, reread the examples on the pages listed for PH 6-2.. Then do the check understanding problems for each example #1-5.
Take notes on these videos (I’d take my notes on graph paper):
Equation of a line, slope intercept form, functions, perpendicular lines & horizontal lines Math Antics Basics of Linear Functions
How to graph a line when you have an equation in y = mx + b or slope-intercept form. WATCH this video.
Mario’s Math Tutoring on equation of the horizontal and vertical lines
VIDEOS FROM LAST WEEK— IF YOU ALREADY TOOK NOTES ON THESE, YOU CAN REWATCH W/O NOTES OR SKIP ENTIRELY.
Math Antics Slope and Distance of a line (slope = RISE / RUN or change in y over change in x or )
How to calculate slope. Richard reminds us what slope is and how to find it (10 minutes). https://www.youtube.com/watch?v=5z6IduhkeF0 (take notes for PENTAGON extra credit points)
Richard walks us through positive and negative slopes, slope of a horizontal line is zero (y=some number), vertical line has an undefined slope, steepness of slope, what does a line with a slope of 1 look like? (10 minutes) https://www.youtube.com/watch?v=Nl0AAmARm18
PH 9-1 Adding and subtracting polynomials and degrees of monomials (4 problems)
HW pg 457-60. Re-read the examples #1-4. HW p. 459 #28, 29, 31, 32
Optional Videos:
How to add and subtract Polynomial Expressions Organic Chemistry Tutor
What’s this degree nonsense? Organic Chemistry Tutor (don’t fret about this part. Just remember to make the term with the highest exponent first or the “leading term”).
See Algebra resource page under chapter 9 for ANSWERS
PH 8-1 Intro to Zero & Negative Exponents (8 problems)
HW pg 394 Do the investigation problems 1-4
If you haven’t already finished the SB handout 40-42 please do that now (I think you already did this) Answer keys are available in class.
See Algebra resource page under chapter 8 for ANSWERS
Chp 2 Review and Practice Test (27 problems— we had about 30 minutes in class to start this) Note you’ll also be tested on chp 1 material but this assignment just reviews the chp 2, STUDY FOR THE TEST.
Measures of Central Tendency,
solving multi-step equations including ones with no solution or identities,
transforming formulas to solve for one variable
Consecutive Integer problems
HW pg 125-127 #1-9, 29-30, 45-47, 52-53, 55, 57, 60, 61, 68-71. Also do standardized test prep on pg 129 #5, 6, 8
See Algebra resource page under chapter 2 for ANSWERS
Preview: Watch Function notation 10 minute video by Kevin Dorey https://www.youtube.com/watch?v=lVUeWKIiypM )
Week 5 & 3/4 — week Ms. Lisa is sick - Oct 17/18
Prepare for the chp 1-2 cumulative test by doing the Chp 2 Test on pg. 128 as a practice test. Use the textbook and homework and anything else you need to help you.
See Algebra Resource page for answers, under chp 2.
Get a head start on week 6 by doing these bits of homework— you need to look at week 6 to see what is listed below those sections
PH 2-7 Measures of Central Tendency… (9 problems)
PH 8-1 Exponents: Zero & Negative (11 problems)
HW on Desmos.com: go to this graphing calculator on the web (https://www.desmos.com/calculator) and play with the equations of lines in slope-intercept form by putting in different equations in the form of y=mx +b. Then do these activities to answer these questions:
Question 1: b= the y-intercept questions
what happens when b is positive? 1, 3, 10
what happnes when be is negative? -1, -3, -10
Question 2: m= slope questions
What happens to the line when m is positive? What happens when m is 1? 2? 3? 10? 1000?
What happens to the line when m is negative? -1, -2, -3, -10?
What happens to the line when m is a fraction? 9/10, 5/10, 1/10?
What happens when m = 0?
Watch one of these videos on how to find the x & y intercepts of a line and take notes:
Organic Chemistry Tutor 9 minutes (after 9 minutes it’s an ad for his algebra courses): https://www.youtube.com/watch?v=_-LvA1xlQLs
Watch this 13 minute video with Prof. Rob https://www.youtube.com/watch?v=xyVJZKu7Euw&list=PLGbL7EvScmU7ZqJW4HumYdDYv12Wt3yOk&index=42
Optional: Joann explains how to find x & y intercepts visually https://www.youtube.com/watch?v=sCcDHQyInRE
Week 6 HW— October 23/24, 2023
Upcoming Tests & Quizzes
Wed Test Chp 2 and 1 this week (week 6). _ Emailed to parents to proctor for absent students on Thursday
Week 8 Wed Quiz #1 Chp 6.1-6.3
Week 9 Wed Chp 8 Quiz #1 Chp 8.1-8.4
Week 10 Wed Chp 6 Quiz #2 Chp 6.4-6.6
Week 11 Wed Chp 3 Quiz #1 Chp 3.1-3.3
Week 12 Chp 6 Test
Weel 13 Final Exam covering: Review for Final exam in wk 13 covering Chp 1, 2, 6, Chp 3.1-3.4, Chp 8.1-8.5, Chp 9.1-9.3
Concepts: Linear equations (slope intercept form, standard form, point slope form), zero and negative exponents, measures of central tendency review)
Prentice Hall Algebra 1 HW (46 problems) — apparently I already posted chp 6 answers a few weeks ago and forgot ;)
Smart Studying: Look at the vocabulary in chp 1, 2, 8.1, 9.1 and 6.1-6.4 Add any new words to your IMPs pages.
PH 6-2 Deepen understanding: Slope Intercept Form… (6 problems)
HW pg 291-296. Reread examples (pay attention to example 2 especially). Do pg. 294-6 #21, 34, 35,41 SQUARE 57, 58, 65, PENTAGON 80-82
HW on Desmos.com: go to this graphing calculator on the web (https://www.desmos.com/calculator) and play with the equations of lines in slope-intercept form by putting in different equations in the form of y=mx +b. Then do these activities to answer these questions:
Question 1: b= the y-intercept questions
what happens when b is positive? 1, 3, 10
what happnes when be is negative? -1, -3, -10
Question 2: m= slope questions
What happens to the line when m is positive? What happens when m is 1? 2? 3? 10? 1000?
What happens to the line when m is negative? -1, -2, -3, -10?
What happens to the line when m is a fraction? 9/10, 5/10, 1/10?
What happens when m = 0?
NEED TO POST ANSWERS
PH 6-3 Standard Form of an equation of a line is Ax +By = C… (4 problems)
HW pg298-300 Do check understanding 1-4
SQUARE also do the Investigation: Intercepts on pg 298 (it’s possible we may have had time to do this in class.)
PENTAGON play around with this standard form on Desmos.com especially making x or y= 0. What do you discover? Also watch one of these videos on how to find the x & y intercepts of a line:
Organic Chemistry Tutor 9 minutes (after 9 minutes it’s an ad for his algebra courses): https://www.youtube.com/watch?v=_-LvA1xlQLs
Watch this 13 minute video with Prof. Rob https://www.youtube.com/watch?v=xyVJZKu7Euw&list=PLGbL7EvScmU7ZqJW4HumYdDYv12Wt3yOk&index=42
Optional: Joann explains how to find x & y intercepts visually https://www.youtube.com/watch?v=sCcDHQyInRE
PH 6-4 Introduction to Point Slope Form NEW y1-y2 = m(x1-x2) (those are supposed to be subscript 1s and 2s) (4 problems)
Use this form when you know a POINT and the SLOPE. Or you have two POINTS (because you can calculate the SLOPE when you have two points.)
HW watch
Richard of AoPs explain what Point-slope form means and what this form can do for us (9 minutes) https://www.youtube.com/watch?v=xa_QG-dZEjo
Next watch https://www.youtube.com/watch?v=SqFj06Y3tl4 and pause the video and try to do problem 2 before Mario does it.
HW pg 304-306 Read examples, then do check understanding problems 1-5
PH 8-1 Exponents: Zero & Negative…. (11 problems)
HW pg 394-397 read examples and then do check understanding #1-4, plus problems 1, 5, 9, 13, 17, 41, 45
SQUARE Watch:
AoPs What does 3 to the zero power mean? “Zero as an Exponent”
PH 2-7 Measures of Central Tendency… (9 problems)
HW pg 118-123 You may want to reread the examples first, then do pg 12-123 problems #3, 5, 7, 11, 14, 16, 18, 24, SQUARE #25. (The previous week has videos for stem and leaf plot videos.)
SQUARE pg 123 Mixed Review problems 37-44 odds
NEED TO POST ANSWERS
PENTAGON PH 2-5 Motion d=rt Problems: Same Direction… (1 problem) 25 years ago these kinds of motion problems were taught in Algebra 1, but most textbooks and teachers have since moved them to Algebra 2. So while I’m introducing this to you (and only one of three types of motion problems) you don’t have to master this now. You’ll see it again later in high school and it will seem easier then, I promise.
HW pg 105-109 Reread Example 3. Watch or rewatch one of the videos below. Then do this D=RT Same Motion“Dirt” problem: pg. 108 #22— a chart may help you organize your information.
PH 5-2 Function Notation…(1 problem)
HW pg 243 Read page 243 from top through example 4 to learn about function notation. Then do check understanding #4.
Optional video: Function Notation- What is it and how to Evaluate Functions with Mario