Chapter 1 Notes Aligned With Mathworks 10 Workbook(1)

  • Uploaded by: Karol Kamieniecki
  • 0
  • 0
  • March 2021
  • PDF

This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA


Overview

Download & View Chapter 1 Notes Aligned With Mathworks 10 Workbook(1) as PDF for free.

More details

  • Words: 2,792
  • Pages: 23
Loading documents preview...
Math 10-3

Chapter 1: Unit Pricing and Currency Exchange Ms. Roxanne Sekura

Student Name: ________________________________________________ (Please Print) [Love] always protects, always trusts, always hopes, always perseveres. ~ 1 Corinthians 13:7

Math 10-3 1 Chapter 1: Unit Pricing and Currency Exchange Proportional Reasoning 1.1 Page 9 of MathWorks 10 Logic ~ Just for Fun Only for the brave, this one! The square to the right has eleven letters missing, which you have to replace. Every row, column AND the main diagonals contain all the letters in the word “BRAVE”.

Define Factor ~

Equivalent Fractions ~

Simplified Fraction ~

Multiple ~

Math 10-3 2 Chapter 1: Unit Pricing and Currency Exchange New Skill ~ Simplifying Fractions Example 1 Simplify .

Example 2 Simplify .

Example 3 Simplify .

Example 4 Simplify .

Build Your Skills Assignment:

Page 11 - 1a through 1i

(Please remember to check your solutions with the back of the workbook, pg 342.) New Skill – Solving for x with fractions (Cross multiply) Example 1 Solve for x in this equation containing fractions.

Example 2 Solve for x in this equation containing fractions.

Example 3

Example 4

Solve for x in this equation containing fractions.

Solve for x in this equation containing fractions.

Math 10-3 3 Chapter 1: Unit Pricing and Currency Exchange Define Ratio ~

Proportion ~

New Skill – Ratio and Proportion Example 1 Abby works as a cook in a restaurant. Her soup recipe contains:  11 cups of seasoned broth  5 cups of diced vegetables  3 cups of rice  3 cups of chopped chicken She wants to make the recipe at home. To reduce the recipe yield, she needs to know the ratios between the quantities of ingredients.

Solutions a) What is the ratio of vegetables to chicken?

Example 2 Colby and Grey make $220.00 from holding a garage sale. Colby contributed fewer items to the sale, so the money is to be divided between Colby and Grey in the ratio of 1:2. How much will each person receive?

Solution

Build Your Skills Assignment:

Page 16 - 3 to 8

b) What is the ratio of chicken to rice?

c)

and

What is the ratio of the chicken to the total ingredients in the recipe?

Page 18 – 9 to 11

(Please remember to check your solutions with the back of the workbook, pg 342.)

Math 10-3 4 Chapter 1: Unit Pricing and Currency Exchange Define Rate ~

New Skill – Rate Example 1 The amount of fuel consumed by a vehicle when it is driven 100 km is referred to as the rate of fuel consumption. Write a rate statement that indicates that a car uses 6.3 litres of gas for every 100 km driven.

Solution

Example 2 Ely loves to babysit. She was paid $45 for 3 hours of babysitting. What was her rate of pay per hour?

Solution

Example 3 If you can earn $150.00 in 15 hours, how much would you earn if you work 35 hours?

Solution

Math 10-3 5 Chapter 1: Unit Pricing and Currency Exchange

Build Your Skills Assignment:

Page 19 - 12 to 14

and

Page 20 – 15 - 17

(Please remember to check your solutions with the back of the workbook, pg 342.)

Practice Your New Skills: Page 21 - 1, 3, 5, 7, 9  All work must be shown.  This assignment must be submitted at the end of class for marks.  Please remember to check your solutions with the back of the workbook, pg 342.

Math 10-3 6 Chapter 1: Unit Pricing and Currency Exchange

Minor Quiz Math 10 – 3 Lesson 1.1 Name: ___________________ 1. Solve for x.

2. The ratio of red pigment to blue pigment in a shade of purple is 2:5. How many drops of blue pigment will be needed if 14 drops of red pigment are used?

3. If Jacob can type 65 words per minute, how long will it take him to type a 400-word term paper?

Math 10-3 7 Chapter 1: Unit Pricing and Currency Exchange Unit Pricing 1.2 Page 26 of MathWorks 10 Logic ~ Just for Fun Six wolves catch six lambs in six minutes. How many wolves will be needed to catch sixty lambs in sixty minutes? No, the answer is not sixty. Try again! Define Unit Price ~

New Skill ~ Working with Unit Price Example 1 Jesse was shopping at Costco. She bought a case of 24 water bottles for $8.99. How much does one bottle cost her?

Solution

Example 2 A 24 pack of Nestea iced tea costs $12.39. How much does one can cost?

Solution

Math 10-3 8 Chapter 1: Unit Pricing and Currency Exchange Example 3 La Livre Librairie is a francophone e bookstore in Calgary, AB. It sells a package of 12 notebooks for $15.48. Another similar bookstore sells the same notebooks in packages of 15 for $19.65. Which is the better price?

Solution

Example 4 A BIC Mechanical Pencil 5 pack sells for $1.96 at Wal-Mart. A 12 pack sells for $4.39 at Staples. Which is the better price?

Solution

Example 5 If 2 ½ kg of tomatoes cost $8.25, how much will you pay for 7 kg?

Solution

Build Your Skills Assignment: – questions 7 and 9

Page 27 – questions 1 and 3, Page 29 – question 5 and 6, Page 31

(Please remember to check your solutions with the back of the workbook, pg 343.)

Math 10-3 9 Chapter 1: Unit Pricing and Currency Exchange Solution Example 1 Emmitt bought enough carpet to cover his rectangular room measuring 6 metres by 10 metres. The carpet costs $12.50 per square metre. a)

How much carpet did Emmitt buy?

b) How much did the carpet cost him? Practice Your New Skills: Page 343 – 1, 3, 5, 7  All work must be shown.  This assignment must be submitted at the end of class for marks.  Please remember to check your solutions with the back of the workbook, pg 343.

Math 10-3 10 Chapter 1: Unit Pricing and Currency Exchange

Minor Quiz Math 10 – 3 Lesson 1.2 Name: ___________________ 1. College Pro Painters buys 2-inch wide paintbrushes from a supplier in cases of 6. One case costs $25.99. How much do two brushes cost?

2. Which is the better buy: 5 pack of black pens for $4.96 or a 12 pack of black pens for $11.99

Bonus Question 3. Pat is ordering cartons of detergent for resale in his store. He can order a carton of 12 for $34.68 plus $5.45 for delivery, or a carton of 18 for $51.30 plus $6.25 for delivery. Which is the better buy, and by how much per unit?

Math 10-3 11 Chapter 1: Unit Pricing and Currency Exchange Setting a Price 1.3 Page 36 of MathWorks 10 Logic ~ Just for Fun The diagram below shows a cross-shaped box containing three numbered blocks.

The puzzle is to slide the blocks around the box until the numbers read 1,2,3 as you go down. How do you do it?

Define Percentage ~

Skill Review ~ Working with Percents and Decimals Example 1 Convert 45% to a decimal.

Example 2 Convert 89% to a fraction.

Example 3 Convert 10.5 % to a decimal.

Example 4 Convert 110% to a decimal.

Build Your Skills Assignment:

Page 37 - 1a through 1h

(Please remember to check your solutions with the back of the workbook, pg 343.)

Math 10-3 12 Chapter 1: Unit Pricing and Currency Exchange  The word “of” means to multiply when it follows a percentage or a fraction. Skill Review – % of Example 1 Calculate 15% of 200.

Example 2 Calculate 25% of 20.

Example 3 120% of 50

Example 4 0.6% of 190

Skill Review – Find the percent Example 1 What percent is 5 out of 25?

Example 2 What percent is 55 out of 320?

Example 3 What percent is 150 out of 25?

Example 4 What percent is 1 out of 18?

Build Your Skills Assignment:

Page 39 - 2a through 2h and Page 41 – 3a through 3f

(Please remember to check your solutions with the back of the workbook, pg 343.)

Math 10-3 13 Chapter 1: Unit Pricing and Currency Exchange Define Retail Price ~

Wholesale Price ~

Markup ~

New Skill – Working with Markups and Taxes Example 1 Paige owns a clothing store. Her standard markup is 65%. She bought a coat from the wholesaler at $120.00. a)

What would her markup be?

b) How much would Paige charge her customer for a coat?

c)

If GST is 5% of the final cost of the coat, how much GST would the customer have to pay on the coat?

d) What is the total cost of the coat including GST?

Math 10-3 14 Chapter 1: Unit Pricing and Currency Exchange Example 2 While in BC, Jake decided to buy himself some new hiking boots. The boots are listed at $179.99. How much will the boots cost him if 5% GST and 7% PST are charged?

Build Your Skills Assignment:

Page 42 - 4 through 7 and

Page 45 – 8 through 13

(Please remember to check your solutions with the back of the workbook, pg 343.)

Practice Your New Skills: Page 46 - 1, 3, 5, 7  All work must be shown.  This assignment must be submitted at the end of class for marks.  Please remember to check your solutions with the back of the workbook, pg 344.

Math 10-3 15 Chapter 1: Unit Pricing and Currency Exchange

Minor Quiz Math 10 – 3 Lesson 1.3 Name: ___________________

1. a) 5% of 26

b) 150% of 75

2. The wholesale cost of a certain brand of T-shirts is $132.00/dozen. To cover costs and make a profit, Leslie marks them up by 75%. If GST is 5%, what will a customer have to pay for 1 T-shirt?

Math 10-3 16 Chapter 1: Unit Pricing and Currency Exchange On Sale! 1.4 Page 49 of MathWorks 10 Logic ~ Just for Fun Who Lives Where? Three children live at houses with different coloured doors. What colour door do they each have? What number house do they live at and on what road? Child: George, Jake, Sophie Door: Blue, Green, Red Number: 1, 2, 3 Road: Bridge Street, Cherry Close, Sandy Lane  Sophie’s house No. is 1 lower than Jake’s.  One child lives at No. 2 Cherry Close.  House No. 1 has a red door, but is not on Sandy Lane. Define Promotion ~

New Skills ~ Sale Price Example 1 Sam wants to buy a new Wii. The Wii – U is currently priced at $249.00, but the clerk tells her that it’s going to go on sale next week at 25% off. If Sam waits one week, a) How much money will she save?

b) How much will the Wii – U cost her, including the 5% GST?

Math 10-3 17 Chapter 1: Unit Pricing and Currency Exchange Example 2

Ginger Laurier in Okotoks is having a store wide sale. The store is selling off all summer inventories. The sign says “Reduced by 70%”. A purse is regularly priced at $135.00. a) What will the sale price be?

b) What is the final price of the purse, including the 5% GST?

Example 3

Timothy Fred’s Furniture in High River is having a promotion on furniture. If you buy three or

more items, you will get 30% off the most expensive item, 20% off the second most expensive item, and 10% off the rest of your purchases. You choose four items: a chair, a couch, an ottoman, a coffee table. The regular price of the chair is $650.00. The regular price of the couch is $1200.00. The regular price of the ottoman is $245.00. The regular price of the coffee table is $360.00. Excluding GST, how much will you pay for these four items?

Build Your Skills Assignment:

Page 50 - 1 through 3 and Page 52 - 4 through 6

(Please remember to check your solutions with the back of the workbook, pg 344.)

Math 10-3 18 Chapter 1: Unit Pricing and Currency Exchange Example 1 Sportchek has a back to school promotion “Buy one pair of shoes at regular price; get the second, less expensive, pair of shoes half price”. A mom buys two pairs of shoes for her children. One pair is priced at $98.00 and the second is priced at $56.00. What is the discount rate, as a percent?

Build Your Skills Assignment:

Page 54 - 8, 11

(Please remember to check your solutions with the back of the workbook, pg 344.)

Practice Your New Skills: Page 56 - 2, 4, 6, 7  All work must be shown.  This assignment must be submitted at the end of class for marks.  Please remember to check your solutions with the back of the workbook, pg 344.

Math 10-3 19 Chapter 1: Unit Pricing and Currency Exchange

Minor Quiz Math 10 – 3 Lesson 1.4 Name: ___________________

1.

A furniture store offers a “Closing Out Sale: Everything 80% Off”. How much will you pay for a dining room table with 6 chairs that originally cost $2979.99 if GST is 5%?

2. The Classic Source for Sports sold Theresa a bike for $630.00. The original price of the bike was $750.00. What percent markdown did Theresa get?

Math 10-3 20 Chapter 1: Unit Pricing and Currency Exchange Currency Exchange Rates 1.5 Page 59 of MathWorks 10 Logic ~ Just for Fun An old Mathematics book contained this addition sum which had been marked correct by the teacher:

The three squares in the diagram are where the paper was so bad, they couldn’t be read. What were the three missing numbers? Define Exchange Rate ~

New Skills ~ Exchange Rates Example 1 Ethan saved $300.00 Canadian for his trip to Disneyland in Anaheim, California. He converted his $300.00 to American currency. If one Canadian dollar is worth 0.95218 of an American dollar, how many American dollars will Ethan receive in exchange for $300.00 CAD?

Math 10-3 21 Chapter 1: Unit Pricing and Currency Exchange Example 2 Tulio is planning a student exchange to Canada. The currency used in Brazil is called a Brazilian Real. Tulio has 1000 Brazilian Reais (plural for real). He converts that to the Canadian dollar for personal expenses. If 1.00 Brazilian real is worth 0.44 Canadian Dollars, how many Canadian dollars will Tulio receive in exchange for 1000 Brazilian Reais?

Build Your Skills Assignment:

Page 60 - 1 through 3 and Page 52 - 4 through 7

(Please remember to check your solutions with the back of the workbook, pg 344.)

Practice Your New Skills: Page 67 - 1, 3, 5  All work must be shown.  This assignment must be submitted at the end of class for marks.  Please remember to check your solutions with the back of the workbook, pg 345.

Once you’ve completed the Chapter Project found on the following page, you’ve completed all of the material for Chapter 1: Unit Pricing and Currency

Exchange. Now it’s time to show what you’ve learned. Test Time!!!! Your Chapter 1 exam will be in two days. In order to prepare for the exam, please complete the following questions from the chapter exam found on page 70 of your workbook: Questions 2, 4, 6, 8, 10, 12.  All work must be shown.  This assignment must be submitted at the end of class for marks  Please remember to check your solutions with the back of the workbook, pg 345.

Math 10-3 22 Chapter 1: Unit Pricing and Currency Exchange Chapter Project – Plan a Trip Out of Canada Math 10 – 3 Lesson 1.5 Name: ________________________ Step #1: What is your round trip destination, and how long do you intend to stay? Use www.aircanada.com to help come up with a reasonable fare for your flight. Destination: __________________________ Duration of Stay: ______________________ Cost of Round Trip Flight: ________________

Step #2: Estimate how much spending money you will need for the trip. Use Google to determine the currency used in the country you plan to visit. Spending Money Estimate: _______________ Currency: ____________________________

Step #3: Determine the exchange rate from Canadian dollars to the currency of the country you plan to visit by using http://themoneyconverter.com/. Exchange Rate: ________________________

Step #4: Convert your “Spending Money Estimate” from step #2 using the exchange rate from step #3. Show all your work.

Step #5: Determine the total cost of your trip, air fare and spending money.

Step #6: If you parents offer to pay for 25% of your trip, how much do you have to pay for the trip?

Related Documents


More Documents from "Juwita Merlinda"