Intro to Algebra 1 Fall Semester
Week 13-14 HW January ___________
How do you eat an elephant?
One bite at a time. This is how we get better at math (and everything else). We work at it piece by piece, bit by bit, problem by problem, day by day. Your daily effort will yield great results!
Week 13 HW January
Answers for practice tests and additional resource videos posted 6:30 pm Friday
Quizzes and Tests Schedule
Week 13 Review for Final Exam
Week 14 - Final Exam Chp 1-5 ( part of chp 6)
Concepts for Intro to Algebra:
Review for semester final exam
Class Summary: bingo review of key math vocabulary and concepts as well as introduction to finding slope, slope intercept form, and review of basic geometry formulas for perimeter and area. New concepts: Pythagorean theorem and its applications - how to determine if the slab foundation lay out is square and even prior to pouring cement; introduced equation of a line for vertical and horizontal lines— students deduced the equation given multiple examples
HW Week 13
Review of Final Exam Next week — this is an unusually heavy homework week, so start it early. Next week’s homework load will go back to normal.
HW Part 1 of 4
Study for a multiplication facts quiz.
Make flashcards. Figure out which facts you are slower at and put those in a separate pile and drill those over and over.
You can also take a multiplication quiz linked above. Your goal is 40 questions in 60 seconds.
McD 10.4 Geometry Problems- Circles- what is Pi?
Do the Investigation on pg. 527 then do Draw Conclusions #1. Hint: draw as big of circles as you can as you’ll make fewer significant measurement errors.
Look up the value of Pi. How does it compare to the ratio you discovered?
Optional resource video: What is Pi? from Math Antics
HW Part 2 of 4
Final Exam Review - I recommend you do at least half of these practice final exam problems. Note: these questions are either harder than the actual final or some of them will be the actual questions on the final so you will have done them before! We’ll review these on Tuesday. Test is on Wednesday.
CHP 6 PRACTICE TEST pg. 323 Typo— this should be page 323 Sorry! #1-3, 5 (these kinds of problems will be few. Most of the test is chp 1-5)
Answers for chp 6 Ratios and Rates “standardized test” 1. B, 2. G, 3. D, 5. B
Chp 5 PRACTICE TEST pg 263 # 2-7, 12
Answers for chp 5 Rational Numbers and Equations (decimals and fractions and 2 step equations)“standardized test” 2. F, 3. B, 4. H, 5. D, 6. G, 7. A, 12. a) 31 1/4 cups, b) 2 gallons because 2 gallons is 32 cups and the recipe needs 31.25 cups.
Chp 4 PRACTICE TEST pg 215 #1-7, 9-13
Answers for chp 4 Factors, Fractions, and Exponents “standardized test” 1. D, 2. H, 3. B, 4. F, 5. D, 6. F, 7. B, 9. B, 10. H, 11. b, 12,. f, 13. D
Chp 3 PRACTICE TEST pg 159 #1-7, 10
Answers for chp 3 Multistep Equations and Inequalities “standardized test” 1. D, 2. h, 3. C, 4. I, 5. C, 6. G, 7. A, 10. a. m greater than 125, B open circle around 125 and arrow headed right, c) Company B; since company A is less expensive for m greater than 125, company B is less expensive for m = 100 because 100 is less than 125.
Chp 2 Practice Test pg 113 #1-6, 10-13
Answers for chp 2 Solving Equations and positive and negative integers “standardized test” 1. C, 2. I, 3. B, 4. G, 5. A, 6. H, 10. I, 11. C, 12. G, 13. 4r + 9(52-r), -5r + 468
Write down which problems you want help with next class.
Finish the chapter review of the first half of chp 6 which we worked on in class before break: Chp 6 chp review #1-26 and 31-34
Correct errors on your Chp 1-3 Quiz using the posted solutions HERE to fix your errors (show the steps and identify where you made a mistake. Do this in a different color)
Statistics Review: how far do you drive to get to Farm School? Write that down and we’ll use your data to calculate mean, median, mode and range.
HW Part 3 of 4
Correct errors on you Chp 5 quiz using the posted solutions HERE (show the steps and identify where you made a mistake. Do this in a different color)
McD 6.1, 6.4 & 6.5 - review of work from before winter break
6.4 do pg 291-291 PP# 12, 21, 26, 27, 30 (for #30 draw some version of these quadrilaterals to prove your answer) (evens 12. 3/2 26. b^5/3a 30. a
6.5 If necessary, re-read the examples for this section or watch one of our videos from previous weeks to refresh your memory, then do GP 1-5 all, PP# 7, SQUARE skip #7 and instead also attempt #11
6.1 Conversion using “dimensional analysis” method. Rewatch this video “Unit Conversion the Easy Way” by Ketzbook 6 minutes. If you didn’t take notes last time or can’t find your notes, take notes again. Then use your notes to do pg 273 PP# 30, 32, 34. (evens 30. 79,200 ft/hr, 32. 23,400 m/hr, 34. $301/wk)
How do you know if two ratios are proportional? Explain. If you can’t remember, review 6.3
HW Part 4 of 4 - the only new material for the week
McD 9.3 Pythagorean Theorem Problems
Reread pg. 465-466
Do pg 467-468 GP# 1, 3, 5, 6, 7, 10, 13, 15, 19, 25, 27 SQUARE skip #3 and instead do 21, PENTAGON skip 1 and 5 and instead do 31 & 33
Geometry of Triangles
Watch AoPs Using the Pythagorean Theorem to solve problems part 1 video (This also gives you a little preview on how to simplify square roots which we’ll do later in the semester)
Classify Triangles and solve for missing angles p. 463 check points 1, 3, 5, 7, 8, 9 (even answer 8) is scalene)
PENTAGON No notes needed- just watch this super cool video: Proving the Pythagorean Theorem AoPs video
McD 10.4 Geometry Problems
Circles: area and circumference Do pg 531 PP#7-23 odds
Optional resource video for finding area and circumference of circles from Math Antics
Correct work, redo missed problems as usual. Highlight problems on your HW sheet which you want to review in class
Week 14 - January
Quizzes and Tests Schedule Fall Semester
***Week 14 - Final Exam Chp 1-5 (first half of chp 6)***
Classwork Summary
Introduced another way to figure out percents with the percent equation a (part) = p% of b (base or whole) (McD 7.4)
Continued our study of similar figures, finding missing lengths in similar figures, interpreting graphs (McD 6.4-6.5)
What’s up in the next few weeks?
Review of measures of central tendency: mean, median and mode: how to calculate these and which measure gives the most accurate measure of the where the middle is if there are outliers in the data set (median). Range shows the spread between the greatest and least value in the data set.
Review of basic probability P(event) = # desired outcomes/ # possible outcomes (McD 6.7)
Using Pythagorean Theorem to find missing side lengths of right triangles (McD 9.3)
Introduced simple interest formula I=PRT and how to use this to calculate the interest owed on money borrowed or earned of money lended (McD 7.7)
Introduced equation of a line for vertical and horizontal lines— students deduced the equation given multiple examples
Beginning our exploration of graphing linear equations y = mx +b (McD 8.2)
Deepening our understanding of percent equation applications a = p% of b (McD 7.4)
Using ratios and proportions to make scale drawings (McD 6.6)
Calculating the balance on an account which has accrued simple interest over a period of time
Simple Interest = PRT
Balance of Account = P + PRT or P (1+RT) (McD 7.7)
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) McD 9.2
Continuing our work with Pythagorean theorem to solve problems involving right triangles. 9.3
HW Week 14
This HW posting is complete. 5:55pm Wednesday 1/17
Semester Final Exam Chp 1-5 and part of 6 - in class on Wednesday with time to finish up next week on Tuesday.
HW Part 1 of 4- Percents problems are the hardest problems we do this year. We will introduce them now and work on them bit by bit over several weeks.
Study for a multiplication facts quiz. SIGNATURE REQUIRED Spend 10 minutes reviewing them for 6 days. Have a parent sign to verify that you’ve work on them for 10 mintues for 6 days. If you miss a day, complete two 10 minute sessions.
Make flashcards. Figure out which facts you are slower at and put those in a separate pile and drill those over and over.
You can also take a multiplication quiz linked above. Your goal is 40 questions in 60 seconds.
REVISITING A CONCEPT McD 7.1 McD 7.1 Percents & Fractions…. Re-read pg. 329-330. Do pg 331-333 GP #1, 2, 4, 6. PP 8-20 evens POST EVEN ANSWERS
Optional video from last week: Converting fractions to percents and vice versa Introduction to percent with Richard from AoPs converting fractions into percents and percents into fractions without a calculator
REVISITING A CONCEPT McD 7.2 Percents and Proportions
If you didn’t watch this video during week 11 before break, watch it now. It is 30 mintues. Take notes. Dr. Dan video #50 : How to translate the sentence into an equation https://www.youtube.com/watch?v=hYv63oei9Vo (28 minutes)
Now, reread pg 335-336. Then DO pg 337-339 PP#10-18 evens POST EVEN ANSWERS
There are three basic types of percent problems - you may want to re-watch this video from December on how to solve the 3 different types of percent problems. 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?
HW Part 2 of 4
McD 7.3 Percents to Decimals. Re-read the examples in this section. Do pg. 342-342 #35, 51, 55 SQUARE #45 PENTAGON # 47
McD 7.4 Percent Equation
Re-read p.345-347. Take notes on the beige box “SUMMARY: METHODS FOR SOLVING A PERCENT PROBLEM”
Do pg 347 GP# 1 & 2, 3, 5, 7, PP# 9-13 odds SQUARE also do #21, PENTAGON skip 21 and do #22 instead (a) $26, $39, b) 40%, c) 52% sample written answer
HW Part 3 of 4
McD McD 7.7 Simple Interest = PRT — this is the math that will profoundly affect you every day of your life!
Talk to adults you know about interest. Do they pay interest on a mortgage loan? car loan? student loan? credit card debt? Do they earn interest on a savings account? or bonds? Does the interest rate (R) and length of the long (T) affect their decision making when they borrow money to make a purchase? 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.
Watch and take notes on Simple interest Moo Moo Math and Science I=prt or Simple interest Magic of Math I=prt
Read 7.7 page 362.Do pg 362 checkpoint #1, pg 364 guided practice #1, and then problems #1-6 (section A) 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 just doing half of the first page. Next week we’ll practice solving for any missing value in the I=PRT equations and how to calculate the balance. Solutions are on pages 3-5.)
WE did not do this in class, so if it’s hard, that’s why. We’ll do it in class on Tuesday!
HW Part 4 of 4 - review of probability
McD Review of basic probability P(event) = # desired outcomes/ # possible outcomes (McD 6.7)
Watch this Magic of Math video reviewing experimental and theoretical probability.