Thursday, Nov. 20, 9:00-10:15 Chapter 6 Systems of Linear Equations

Friday, Nov. 21, 10:00-11:15 Chapter 8 Proportional Reasoning

Good luck and take care!

Friday, Nov. 21, 10:00-11:15 Chapter 8 Proportional Reasoning

Good luck and take care!

Thursday, Nov. 20, 9:00-10:15 Chapter 6 Systems of Linear Equations
Friday, Nov. 21, 10:00-11:15 Chapter 8 Proportional Reasoning Good luck and take care!
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Volume scale factor is k cubed, i.e., take the linear scale factor and multiply it by itself 3 times!) Notes are here. Assignment: Section 8.6, p. 508 #1ad, 2, 6, 9, 10, 15, 16, 18, 20. Quiz next Wednesday, Nov. 12. CHAPTER 8 TEST on Friday, Nov. 14. Complete all homework in the Assignment Organizer (get the updated version here if you don't have it.) Below is a review on computing linear scale factor, k. Object are similar if their corresponding angles are the same and their corresponding sides are proportional (i.e., each pair of corresponding sides has the
same linear scale factor, k!)Once you know the linear scale factor, just multiply it by a dimension in the actual (original) object to get the corresponding dimension in the diagram (or model). Notes are here and here. Homework: Section 8.5, p. 497 #1ac, 4, 5, 9-11, 14. NOTE: Add #14 to Assignment Organizer!The
area scale factor is the square of the linear scale factor! Notes are here.Assignment: Section 8.4, p. 487 #3, 4a, 5b, 6, 8, 9, 11, 13a, 14. Today we learned about scale factor, k. My "tacky" souvenirs of the Statue of Liberty and the Eiffel Tower are scaled down versions of the actual buildings. How scaled down? Use the formula k = (diagram length)/(actual length) to find out. Class notes are here, here, and here. QUIZ NEXT CLASS. Assignment p. 479 #1, 2, 5, 6ab, 11, 12, 14ab, 15. Chapter 6 retest on Monday, Nov. 3 at 3:10. Bring a scientific calculator to class! NOTE: Some changes made to Assignment Organizer. Check here! Today we started Chapter 8 on Proportional Reasoning, Section 8.1 on Comparing Unit Rates. The notes are here. A blank version is here. Homework: - Finish the calculations on your "Shop 'Til You Drop" list, where you compute and compare unit rates. - p. 459 #4, 7, 9, 10, 12, 14. RETEST for Chapter 6: Monday, Nov. 3 at 3;10 pm. Your assignments must be completed. For the assignments, see page 2 here.Test on Tuesday. Bring a calculator as you cannot use a cell phone. Arrive with all your assignments completed and stapled together. (The Assignment Organizer list is here: /uploads/3/7/6/9/37695755/fom_11_ch_6_outline.docx).
Drop by room 228 for help. There are lots of videos on how to graph inequalities. Here's one: https://www.youtube.com/watch?v=KcWHYiQUOBE The NOTES from last class (with answers filled in with different colours!) are here!!
Quiz next class, Wed, Oct. 15 BRING A SCIENTIFIC CALCULATOR!! Assignment: Go back to p. 330 #3, 5. You had these for homework last time without the objective function. Now do the objective functions. Also do p. 344 #9, 11, 12, 13. In case you're confused about #9, trust your gut instinct. The publisher has a typo on p. 563. It should say y>= 3000 and x <= 5000. Also, p. 565, #8 should not have the point (30, 20) in the solution. Chapter 6 test: Wed, Oct. 21. Drop by if you have any questions. Major points from last lesson:- An optimization problem looks for the MAXIMUM or MINIMUM value of a quantity. STEPS: 1. . (There will be 2.)Define your variables2. Restrictions:Are x and y whole numbers? If x and y are reals, watch out - most of the time, there's an extra restriction that x >=0 and y>= 0. 3. : Look for language that means >=, <=, >, or <. For example, "up to", "maximum available" mean <=. "At least" means >=. "More than" means >.ConstraintsThere are usually 2 or 3 constraints. 4. :Objective functionThis function is in terms of our 2 variables. It's what we want to maximize (e.g., if concerned about revenue or profits) or minimize (e.g., if concerned about costs). e.g., Revenue = $175x + $110y, where we get $175 for every unit of x and $110 for every unit of y. 5. We do not graph the objective function!!Graph you constraints:Look for the overlapping region, or intersection. In optimization problems, this is called the FEASIBLE REGION. Label the coordinates of each of your CORNER POINTS in the feasible region. 6. :Answer the questionPlug each of your corner points into the objective function. Check which point gives you a MAX or MIN. That point tells you how much of x and y you need to MAXIMIZE or MINIMIZE the objective function. For the neurons in your brain to make connections, the signal from one neuron needs to reach another neuron - but there's a GAP in between. For the signal to continue, it needs to reach a dendrite.When you learn, your brain changes - the dendrites grow! They "close" up the gap, forming connections in your brain.How to grow dendrites: use as many senses as possible when learning! e.g., talk/explain your learning to someone, use movement (write it down, act it out, take a brain break every 18 minutes), draw a picture as a visual cue, .... [more later]. |
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