Intro to Algebra 1 Spring Semester
Week 19-20 HW March 5/6 & March 12/13
Spring Quizzes and Tests Schedule
Week 21 Chp 6 Test
Concepts for Intro to Algebra:
Class Summary
Chp 8 Graphing Linear Equations
Chp 7 Solidifying understanding of percent applicatio
HW Week 19 - March 5/6
Improved PDF of HW Checklist HERE - This checklist doesn’t have the duplicates on it and it better organized.
Note: All of the graphing linear equations material is a preview of Algebra 1. You will see this again your algebra class. Your algebra teacher will think you are brilliant because it comes so easily to you. Don’t sweat it if you aren’t perfect at this yet.
HW Part 1 of 4
McD 8.5 y= mx +b Slope-intercept form (Day 1 of HW on this material)
Watch and add to your class notes How to graph a line when you have an equation in y = mx + b or slope-intercept form. WATCH this video.
Watch and answer these questions in your notes: what is the slope of a horizontal line? what is the slope of a perpendicular line? 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
Reread pg. 412-414.
Go to Desmos’ graphing calculator. Type in these equations of lines
y = .25x we could also write this as a fraction (1/4)x
y = .5x we could also write this as a fraction (1/2)x
y = 1x
y= 2x
y=10 x
What is happening to the steepness of the line as the coefficient in front of x changes? This coefficient is called m and m represents the slope.
Now make that coeffienct negative (-.25, -.5, -1, etc) What happens now? Write a rule for what happens.
Did you notice that all of these lines pass through 0, 0?
Now clear your graph and you’re going to leave the m value alone (the coefficient in front of x). And just add something to the end of the equation. The value at the end of the equation is called “b” See if you can figure out as you change b, what that does to the line.
y = 2x +0
y = 2x + 1
y= 2x + -3
y = 2x + 6
The number at the end is represented by the letter “b” What does it do to the the line? If the other name for “m” is slope, what do you think the other name for “b” is based on your observations?
Do pg. 413-5 check points 1-6 all, GP &PP #1-13 odds, 38, 40. (Checkpoint and even answers: same slope means parallel lines, 4. slope =m=-3, y-intercept or b=4. 6. slope of a parallel line will be the same, so 1. slope of a perpendicular line will be the negative reciprocal so -1/1 or just -1. 38. 10. 40. 60
HW Part 2 of 4
McD 8.4 Slope of a Line (Day 2 of HW on this material)
Do pg. 405 checkpoints 1, 3, 5, 7 GP# 7, 11 -17 odds, 45, 46 (Check points (1. m= 5/3, 3. m = -3, 5. 1; positive, 7. 0; zero. Evens: 46. GCF is 8)
Optional Videos:
Equation of a line, slope intercept form, functions, perpendicular lines & horizontal lines Math Antics Basics of Linear Functions
Math Antics Slope and Distance of a line (slope = RISE / RUN or change in y over change in x or )
Reviewing chp 6: To review chapter 6 material,
watch and take notes on this review of probability concepts all in one video from Magic of Math
VIDEO REVIEW of 6.1 Unit conversion - Take notes: Review unit conversion (dimensional analysis) watch Mario’s video
HW Part 3 of 4
Chp 6.8 The Counting Principle - NEW -
Optional Support Video on the Counting Principle from Front Porch Math
Optional Video if you need more examples: Counting Principle from Mario Math Tutoring
Graphs of Linear Equations: Do the Desmos Activity “Parallel Lines” in our Desmos classroom
PREVIEW of 11.9 Independent and Dependent Events Probability— choose one probability. How is figuring out DEPENDENT events’ probability different from independent events?
REVIEW Percent of Change with Mario Watch this video and take notes
HW Part 4 of 4
Continue reviewing Chp 6 Test in two weeks. Go to the Chp 6 Review on pages 318-321. This week’s weeks assigned problems are: pg. 318-319 #7-21 odds, 22, 23, 25 evens are HERE
Correct work, redo missed problems as usual. Highlight problems on your HW sheet which you want to review in class and staple that to your homework. Also attach your self-assessment sheet and self-assess. Note: you do not need to tear out your notes if you’re taking notes in a spiral notebook.
Week 20 - March 5/6
Get your Grade Print Out signed!
Spring Quizzes and Tests Schedule
Wk 21 Chp 4-6 Test (next week)
Wk 22 Chp 8 Mid-chp Quiz
Wk 24 Chp 7 Test
Concepts for Intro to Algebra
Chp 8 Graphing Linear Equations & Review of clearing fractions and decimals, and exponent rules.
Coming up next week: Chp 7 Solidifying understanding of percent applications & and reviewing Chp 9 Pythagorean theorem applications & geometry measurement, introduction to simplifying a radical expression
HW Week 20 - March 12/13
The Homework Checklist is HERE
STARTING ON WEEK 21 STUDENTS WILL TAKE THEIR MULTIPLICATION QUIZ AT HOME.
HW Part 1 of 4
McD 8.4 Slope of a Line (Day 2.5 of HW on this material)
See HW Checklist for problems
DESMOS: Create a Desmos student account in our Intro to Algebra class room by logging in at this link. Now do the activity “Which is the Steepest?”
FOR BONUS 5 POINTS ON THE NEXT TEST also do “Put the Point on the Line”
McD 8.5 y= mx +b Slope-intercept form - go onto Desmos’ graphing calculator
Write an equation of a line in the form y-mx +b. (Here’s an example: y = 3x +1). Now change the b value. f rom 1 to something else. (Example y = 3x +2) Change this 4 times and note what happens.
Explain how changing b is affects these lines: what is different about each line and what is the same?
When the b is bigger, what happens to the line? When the b is smaller, what happens to the line?
Why is b called the y-intercept?
HW Part 2 of 4
McD 6.6 Scale Factor review — See HW Checklist
Video Resources are here if you need them:
Same topic from Moo Moo Math and science: scale factor
McD 6.7 Probability and Odds
PREVIEW VIDEO: Watch this video and take notes of Mario explaining the difference between probability and odds
McD 7.5 Percent of Change
Even answers pg 352-3 Mnemonic device: Combat On Ogre Alley. (checkpoint 2) 26%, 6) 50%)
HW Part 3 of 4
REVIEW VIDEO: Watch and take notes Translating words into math sentences with Mario
McD 6.8 - see HW checklist
8.6 SKIP THIS MATERIAL. ALL OF CHAPTER 8 IS ALGEBRA MATERIAL YOU’LL SEE AGAIN: McD 8.6 Putting it together: writing linear equations (Day 1 of HW on this material) If you really want to do it, you can for SQUARE bonus points.
HW Part 4 of 4
Smart Studying: Study for Chp 6 Test on rates, ratios, proportions and probability next week
You may visit our Pre-algebra/intro to algebra math resources page for review videos on chp 6
Prepare a 4x6”notecard which you may use on the Chp 6 Test. Include formulas or example problems.