Intro to Algebra 1 Spring Semester

Week 23-28 HW (I temporarily have the homework for the rest of the semester all right on this page)

April 23/24 & 30 & May 1

Week 23 April 23/24

HW Checklist is here

EXTRA BONUS: Extra 20 points on this special section. You may apply the points to any category.

McD 9.6 Special Right Triangles 45-45-90 & 30-60-90 (this is geometry work: 9th -10th grade)

  • Read pg. 483-485

  • Do pg. pg 485-6: GP #1 - 6 all PP #7, 11, 17 POST EVENS 2) it is the product of the length of the shorter leg and square root of 3. 4) 18 x square root of 3

McD 9.7 The Tangent Ratio (this is geometry and trigonometry work: 11th grade)

McD 9.8 The Sine and Cosine Ratio (this is geometry and trigonometry work: 11th grade)

  • Read pg. 494-496

  • Do pg 496 GP #1-6 EVENS 2)lines EF and DF (can’t put a line symbol over these line segments, sorry) 4) part 1: sine, sin 70 degrees = h/225 part 2: 211 ft

Chp 10 Volume & surface area problems

PREVIEW: Surface Area of a box.

  • Get a cereal box or cracker box or shipping box. Any smallish box will do. Cut it up into all its FACES. Calculate the surface area of all those faces.

  • Create your own formula for surface area of a box (aka rectangular prism)

  • Watch and take notes on this video by Mario on how to calculate the surface area of a prism Surface Area of Prisms and Cylinders - YouTube

Chp 11 Data Intro

11.4 Collecting Data (samples)  Read pg. 601-603 then do #1-8 all (these are quick) see website for even answers

11.3 Take notes on each of these videos

Chp 9

McD 9.1 Square Root Basics (Day 1 of 3 on this material)

McD 9.2

  • Required Video: Simplifying Square Roots Part 1 by Art of Problem Solving & re-read pg. 458-459

  • Do: pg. 460 GP #1-7 odds, 15-21 odds

SQUARE: McD 9.3 Pythagorean Theorem Review: In our Desmos Classroom do the “Taco Truck” activity (should take between 15-25 minutes)

McD 9.5 Distance Formula and Midpoint of a line

Chp McD Chp 10.1 Triangles

  • Read 511-512

  • Do pg. 513-4 # 1-13 odds.

Chp 12 Multiplying Binomials

McD 12.4 Multiplying Binomials DO pg. 670-672: PP# 1-21 odds

Chp 7 Review

Chp 7 Review pg 368-370 - do #1-45 odds

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

Week 24 HW April 30/May 1

What’s left to do in the semester?

Wk 25 start 10 -volume & surface area, start chp 11 stats

Wk 26 Finish chp 10 volume/SA , Chp 11 - stats

Wk 27 portions of Chp 12 adding polynomials & multiplying binomial, portions of chp 13 angle relations

Wk 28 Final emphasis chp 1-8, 10, with bit of chp 9, 11-12

Week 24 HW

SQUARE BONUS VIDEO- intersection of math and science: video on theories on why some cicada’s are periodical instead of annual. 7 minute sideo by Frankenscience) Think about the mathematics of 13 and 17 - what is the advantage of large prime numbers as a creature’s period of emergence.

Chp 9 Square Roots and Triangles

Chp 9.1 Square Roots basics…Do pg. 255 19, 23, 27, 35, 43, 47, 51, 61

Chp 9.3 Pythagorean Theorem (we worked on this earlier in the year so this is review)

  • Read pg. 462-463 & 465-466

  • Do pg. 467 #8, 12, 16, 24 (Evens 8. 13, 12. square root of 871, 16) no, 24) a= 15, b= 20

Chp 9 Mid-chp quiz Part 2: PG 475# 1, 3, 7, 9, 11, 13, 15, 16 EVENS 16) rational

McD 9.4 Real Numbers (including irrational numbers) (Day 1 of 2)

  • Do pg. 472 GP #5-11 odds, 29, SQUARE 31

  • PENTAGON: What’s an imaginary number? Quick explanation (4 minute video) of what an imaginary number is: square root of -1 is an imaginary number called i https://www.youtube.com/watch?v=hqr1DtXXHpY

McD 9.5 — Distance Formula and Midpoint of a line - (Day 2 ) DO PG. 479-481 #15-23 odds, 33, 37, 43, 45 SQUARE also do 39

Chp 10 Geometry Intro & Chp 13.2 Angle Chasing

McD Chp 10.1 Triangles

  • Skim or re-read 511-512

  • Do pg. 513-4 # 15, 17, 19, 21 PENTAGO 23

McD Chp 13.2 Parallel Lines, Transversals and the resulting angles

  • Read pg. 716

  • Do pg. 718-719 #1-7 odds, 8, 14, SQUARE 17

McD Chp 13.3 Angles and Polygons

  • Read pg. 722 Example 1 & 2 (don’t worry about ex 3 and exterior angles)

  • Do pg. 725 #9, 11, 13, 15 (don’t worry about the exterior angles)

Chp 11 Data & 12 Binomials

Mc D 11.1 Stem and Leaf Plots

  • Read pg. 581-583

  • Do pg. 584 #7, 9, 11, 13, 15

Mc D 11.2 Box and Whisker Plots

  • Read pg. 588-590

  • Do pg. #3, 5, 10 POST EVEN ANSWER

  • Refresh your memory of other data display formats (bar graphs, line graphs, circle graphs) by reading 594-595

12.4 Multiplying binomials…

Do pg. 670-673 Do # 1-21 odds

Week 25 HW May 7/8

Spring Quizzes and Tests Schedule

Wk 21 Chp 6 Test

Wk 22 Chp 8 Mid-chp Quiz

****Wk 25 Chp 7- 8 Test***

Concepts for Intro to Algebra:

Class Summary

Week 25— HW

Homework Checklist

Wk 25 Chp 9 - finish Square root and Chp 10 -volume/surface area

Chp 7 & 8 In Class Test on Tuesday - open notecards

Divide this Chp 9 & 10 Material into 4 days worth of work

CHP 9 TRIANGLES - FINISH

  1. McD 9.3 Pythagorean Theorem Review: In our Desmos Classroom do the “Taco Truck” activity (should take between 15-25 minutes)

  2. McD 9.5 — Distance Formula and Midpoint of a line - (Day 2 of 3)

  3. McD 9.4 Real Numbers (including irrational numbers) (Day 2 of 2) DO pg. 472-3: # 33, 37, 49, 53

  4. Chp 9 Mid-chp quiz Practice Quiz - not for a test grade PG 475# 1, 3, 7, 9, 11, 13, 15, 16 EVENS 16) rational

  5. McD 9.5 — Distance Formula and Midpoint of a line (Day 3 of 3) DO PG. 479-481 #33, 37, 43, 45 SQUARE also do 39

  6. Smart Studying: McD Chp 9 - make a 4 x 6 notecard of formulas and sample problems to use on the chp 9.1-9.5 test (you will not be tested on chp 9.6 onwards as that is covered in geometry)

  7. Chp 9 Review pg. 500-502 #1-3, 7-27 odds, 28.

CHP 10 GEOMETRY measurement of 2d and 3d figures

  1. McD Chp 10.2 Polygons and Quadrilaterals

    • Read p. 516-518 and write any key vocabulary in your IMPS

    • Do #1-19 odds

  2. McD CHP 10.3 AREA of Parallelograms & Trapezoids - record formulas in your IMPS

    • Do pg. 525 PP# 13, 19-25 odds SQUARE also do 17, 27,29, 31 PENTAGON also do 33

  3. McD Chp 10.4 Circumference & Area of Circles Day 3

    • Do 532-3 GP & PP# 1, 3, 5, 18, 20, 45, SQUARE 28, PENTAGON 26 (Evens 154 ft squared, 20 1661 mm squared, 26. a pi miles squared, 25pi miles squared, c) 25/1 28, 43.3 m 26)

  4. McD 10.7 Volume of Cylinders and Prisms = Base Area * height or V=Bh record formulas in your IMPS. (Day 2 of 2 of HW on this material

    • Do pg 555: # 13, 15, 16, 17, 19, SQUARE 21

  5. McD 10.8 Volume of Cones and Prisms - at home use a rectangular prism such as a milk carton to make a pyramid and a rectangular prism that are the same height and have the same base. Fill the pyramid with beans or rice or sand. How many times do you need to pour a full pyramid into a rectangular prism of the same height? What does that tell you about how the volume of the pyramid to the volume of the prism?

CHP 12 Polynomials

SQUARE McD 12.3 Multiplying Mononmials & Polynomials (Day 2

  • Watch only the first 3 minutes video with problems similar to Example 3 (dividing polynomials by monomials): Dividing Polynomials By Monomials & Binomials Using Long Division by Chemistry Tutor Pause the video and attempt to do the second problem before he does it. (We won’t do polynomial long division until Algebra so you don’t need to watch after minute 3.)

  • Now read Example 3 and pg. 664-665 #11-27 odds, SQUARE 35

  1. McD 12.4 Multiplying Binomials (Day 2)

    • Skim or re-read pg. 668.

    • Do PG. 670 #1-11 odds (You can use whichever method works best for you. You don’t have to use a specific method.) SQUARE ## 25-41 odds, SQUARE skip 33 and do 43 instead PENTAGON skip 35 and do 44 and 46 instead 44a) 0.52x^2 +68.2x +1750 b) 1750 pounds c) 2,406 million pounds or 2.406 billion pounds. That’s a lot of cheese! 46) surface area 10x^2 - 18x -30, volume 2x^3 -7x^2 -15x

  2. 12.5 Other Exponent Rules: power of a product, power of a power, power of a quotient

    • Read pg. 674-675 (record key rules in your IMPS - the beige notebook sections)

    • Do pg. 676 #1, 2, 3-11 odds

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

Week 26 May 14/15

Chp 10 - Geometry of 2d and 3d Figures Area, Volume, Surface Area - FINISH

10.5 Surface Area of Prisms and Cylinders

  • Read pg. 538-40 and record formulas in your IMPS

  • Do pg. 541 #1, 7, 9-14 all, 30, SQUARE 15, 19, PENTAGON 16, 21, 31 (POST EVENS)

10.6 Surface Area of Pyramids and Cones

  • Read pg. 544-546 also read the little surface area of a sphere insert on pg. 548 and record formulas in your IMPS

  • Dp 1-13 all and find the surface area for #25, 35, 39 (POST EVENS) SQUARE #30

McD 10.8 Volume of Cones and Prisms

  • Read pg. 558-560 and record formulas in your IMPS

  • Do pg. 560-61 #GP 1-5 all, 7, 9, 12, 13, 27, SQUARE 15 PENTAGON 21 or 21

Chp 10 First half of the Review pg. 564-567 #1-5, all, 7, 9, 11-13,

Chp 11 Data & Probability

11.4 Collecting Data (samples)  

  • Read 604-5

  • Do #9-15 odds, 19-23 odds

11.5 Interpreting Data - predictions (this is a lot like making a prediction based upon an experiment)

  • Read pg 609-611

  • Do #1, 3, 5, 7

We’re skipping 11.6-11.8

11. 9 Independent and Dependent Events

  • Watch & take notes to review: video by Magic of Math reviews all of probability for Math 7 in 14 minutes.

  • Read pg. 634-636 and write the two formulas, one for probability of two depended events and one for probability of two independent events in your IMPS

  • Do pg. 637 #1- 5 all, 7-13 all, 21, [POST EVENS HERE], 2) sample answer: you draw a jelly bean from a bag, eat it and then draw another one. Any example where you take something out and don’t replace it. 4) dependent, 8) dependent, 10a) independent, b. 1/121, c. dependent, d. 1/110

  • Optional additional support videos on independent and dependent events by Organic Chem Tutor

Chp 11 Review pg. 640-1 #1-3 all, 5-8 all, 15

12.5 Other Exponent Rules: power of a product, power of a power, power of a quotient

  • Review pg. 674-675 check your IMPS — annotate them somehow

  • Do pg. 677 #15-31 odds, SQUARE 37, 39, 41

Week 27 - all week we are reviewing for next week’s final exam

McD 11.9 Probability of Independent and Dependent Events Probability = P(A) x P(B given A)

  • Read pg. 634-636 to refresh your memory.

  • DO pg 634-5 Checkpoints on #1-4 all (1. independent, 2. independent, 3. 1/10,000, 4. no If each didgit can be used only once, when you generate a digit there is one less digit available as a possibility for the next digit. This affects the results of the second, third and fouth digits. Therefore the events are dependent.

PRACTICE FINAL (this is harder than the actual final) Your final is open notecards, open IMPS, and open practice final!

Part 1: Pg. 162 UNIT 1 #1-5, 7-11, 13, 19

Part 2: Pg 378 UNIT 2 explain the fundamental counting principle rule, what is a unit rate? what symbol mean similar and what means congruent? how do you know two ratios are proportional? what’s a generic form for scale factor? #1-8, 10-16, 19-24

Part 3: Pg. 574 UNIT 3 #1-4, 12, 13, 25, 28-31 bonus 10, what is the formula for a line? for slope? for area of a circle? for volume of a prism? for volume of a cylinder? for surface area of a cylinder? BONUS: what is the slope of parallel lines? give a sample equation of a horizontal line

Part 4: PG. 762 UNIT 4 #3, 4, 7, 9-15, 23, 24, bonus 16, 25, what are dependent events vs. independent events? explain how to find the probability of both

Chp 10 Last half of the Review pg. 564-567 #16-19 all, 21, 23, 24 -25,