3.2 Comparing and Ordering Fractions and Decimals

Focus - Use Benchmarks, place value and equivalent fractions to compare and order fractions and decimals.

To order Fractions and decimals use 1 of the following 3 methods:


Method #1 - Construct a number line complete with Benchmarks. Estimate the position of each number.

Eg. 0.25, 3/8, 2/3, 3/4

._________________.________________.



Explore p. 91









Put these numbers in order from least to greatest:

Method #2 - Change all numbers to decimals and then compare their place value.

Eg. 3 1/8 =

11/3 =

3.25 =


Eg. 2.33 =

2 4/10 =

7/2 =



Method #3 - Change all numbers to equivalent fractions that have the same denominator.

Eg.
4.3 =

4 1/5 =

4 ½ =


Any fraction greater than 1 can be written as a mixed number - a number that contains a whole number and a fraction.

Explore p. 91 - Use a number line and benchmarks to put the fractions and mixed numbers in order.


Practice - Page 94-95, #1 - 11

3.1 Fractions to Decimals

Focus: Use patterns to convert between decimals and fractions

Use a calculator - write each fraction as a decimal:

a) 1/11
2/11
3/11
4/11

What's the pattern? Write a rule...

b) 1/9
2/9
3/9
4/9

What's the pattern? Write a rule...

c) 1/99
2/99
3/99
4/99

* 3/5 means 3÷5

To change a fraction to a decimal...

A) Change the fraction to an equivalent fraction with a denominator of 10, 100, 1000, etc.

Eg. 1 = 5 = 0.5
2 10

B) Use a calculator to divide the numerator by the denominator

Eg. 1 = 1÷2 = 0.5
2

C) Look for a pattern to change decimals to fractions...

Eg. 1 = .01 2 = .02 15 = .15 43 = ?
99 99 99 99


Terminating decimal: a decimal with a certain number of digits after the decimal.

Eg. 1 = 0.125
8

Repeating decimal: a decimal with a repeating pattern in the digits that
follow the decimal point; it is written with a bar above the repeating digits.

Eg. 1 = 0.0909090909.... = 0.09
11

The 0 and 9 repeat, so the bar covers both the 0 and the 9.

Practice - p. 88-89, #1-7

Social 7 - Chapter 3 Study Notes Outline

pg.1 - Chapter 3: The British in North America

pg.2 - Keywords: mercantilism, merchants, intendant, elected assembly, sovereignty, Thirteen Colonies, B.N.A., HBC

p. 3 - Different perspectives of the French, British, First Nations, Merchants and Colonists (p. 53)

p.4 - Reason's British came to North America

p.5 - Differences between New France and the Thirteen Colonies (Ex: government, economy, climate, etc.)

p. 6 - Newfoundland - key details in the development of a colony there

p. 7 - Halifax - key details in the development (ex: previously Acadia, turned over to the British in the Treaty of Utrecht, etc.)

p. 8 - Hudson's Bay Company - key details in the development of the company, Rupert's Land, competition with the French for control of the fur trade and for buisness with First Nations trappers.

The British Continue to Explore

The British Continue to Explore

The Hudson Bay and Beyond.
At first, traders at the HBC posts stayed at their forts. They waited for the First Nations peoples to bring fur to them.
Then, the French began interfering in the British fur trade. They met First Nation trappers before the trappers reached the British forts. The French bought the furs the British were expecting.
The British would now have to travel into the interior to compete with the French.

Henry Kelsey
1690 - Henry Kelsey, who worked for the Hudson Bay Company decided to travel west with a group of Cree. His goal was to meet Aboriginal peoples and convince them to trade with the British.
He remained on the prairies for two years. Travelling as far as a present day Saskatchewan. Through his contact with First Nations, he increased the flow of furs from the interior to the Hudson Bay posts.

Anthony Henday
1745 - Anthony Henday, another British explorer, ventured even farther west, to present day Red Deer.
He wanted to make contact with First Nations (Siksika) and convince them to bring their furs to the Hudson Bay.
He suggested the Siksika adopt an economy driven by profit.
The Siksika refused his offer.
The idea of trading for profit was new to them. The affect of this trade on their hunting and gathering activities would have to be carefully considered before it could be accepted.

Samuel Hearne
1770 - Samuel Hearne set out from Hudson Bay to find a river rich in gold and copper. He travel north and joined a party of Dene and their leader, Matonabbee.
Hearne did not find any gold or copper, but he was the first European to reach the shores of the Arctic Ocean.

James Cook
1778 - James Cook sailed into a harbour in Vancouver Island in search of a Pacific entrance to the Northwest Passage.
He was welcomed by the Nuu~chah~nulth who lived on the island.
Cook failed to find the route he was searching for and set sail across the Pacific to Asia.
When his ship reached China, he discovered that the sea otter skins they had traded with Nuu~chah~nulth were so valuable that the traders called the sea otter pelts “soft gold”.
When word spread, fur traders rushed to the pacific coast to grab these precious furs.

Math 7 - 2.5

2.5 Subtracting Integers on a Number Line.
Focus: Subtract Integers on a Number Line.

Note: subtraction is finding the difference between two numbers

* Using tiles, subtract (-7) - (-2)...

* To subtract numbers on a number line, add the opposite

Eg. (+9) - (-19) is the same as (+9) + (+19)...both equal +28

Follow the same steps you used to complete addition equations on number lines:
1.) Draw an arrow from 0 to the first integer.
2.) Draw an arrow from the first integer, counting the number of spaces that the 2nd integer indicates.
3.) Where your arrow stops is the answer to your equation.

Except this time.....ADD THE OPPOSITE INTEGER! ****Turn your subtraction equation into an addition equation and change the 2nd integer from negative to positive (or positive to negative) before you do anything else!***

Examples - Let's work through these together! Use tiles to solve the subtraction equations, then model the equation on the number line:

Practice!
Homework for tomorrow:
- pgs. 73-75 #s 1 - 11 (odd)

Hudson Bay Company

The Company by the Bay

Beaver furs were in great demand all over Europe. As a result, Britain and France competed for furs in North America.
Two coureurs de bois, Pierre Radisson and Sieur des Groseilliers had heard stories from the First Nations about a vast sea that lay far to the north. This “sea” was the Hudson Bay.
In 1668, des Groseillier and his crew reached the Hudson Bay.
They traded with the local Cree and Innu during the winter and in the summer returned to England with a shipload of furs.
Hudson Bay provided an ocean route into the heart of the continent and an abundant supply of new furs.

In 1670, King Charles II of England granted a monopoly to the Hudson’s Bay Company.
The monopoly covered all the lands and rivers that flowed into Hudson Bay. Most of what is now Western and Northern Canada.
This area was known as Rupert’s Land.
The Hudson’s Bay Company was not interested in building a colony. They were merchants, interested only in trade.
They built trading posts at the mouths of important rivers.
First Nations and Inuit brought furs to these posts.

2.4 - Subtracting Integers with Tiles

Focus: use Colored Tiles to subtract Integers.

Introductory Activity: Explore page 66...
Use what you know about solving addition problems with tiles to see if you can figure out the steps to solving subtraction equations. Solve the 4 equations on page 66 and sketch your tiles.


A. (+5) - (+3)

B. (+5) - (-3)

C. (-3) - (+5)

D. (-3) - (- 5)

What happens when you subtract a negative integer? (write a rule to help you remember this)

Steps to Using Tiles to subtract Integers.....
1. Use tiles to model the first integer.
2. Then make as many zero pairs as the number in the integer indicates. (ex: If the 2nd integer is (+9) make 9 zero pairs.)
2. Circle the tiles indicated by the 2nd integer and remove
with an arrow. (ex: Circle and remove all 9 positive tiles and leave all 9 negative tiles.)
3. The integer that is represented by the remaining tiles is the answer to the subtraction equation.

Example: (-7) - (+5)

Let's solve these examples: Remember to follow the steps!

Hint: Use these tiles on the right side to solve the second problem!

Think, Pair, Share for Practice - Complete the 2 questions at the bottom of
Page 68 using Tiles.
Compare your results to a Partner's.

Homework:
Complete Practice page 69....1-11

13 Colonies/British North America - Monday November 7

***Read the textbook, pages 56-59***

13 Colonies:

The 13 colonies were set up along the eastern United States (New England).
Each colony was unique, having their own social structure, religious groups and government.
Mercantilism was a major reason behind the English coming to North America

13 Colonies Vs New France:
Britain and France had different reasons for colonizing North America
They had different goals and used different systems to run their colonies

The British in Atlantic Canada:
John Cabot claimed Newfoundland for Britain

Britain not interested in Newfoundland as a colony( Too Cold + Not good for farming)

Fish kept the English sailors coming back. The established fishing villages later became a colony.

Creation of Halifax
Strong French presence in Nova Scotia and Louisbourg concerned the English, so they created a fortress at Halifax to counter the French military presence.
Halifax became a colony
The colony of Halifax had the first elected assembly in BNA.

The British in North America

Why did the British come to BNA?

1/Economy – Britain wanted to make money off its’ colonies’ resources.
2/Competition – Britain wanted to prevent the other European nations from becoming more powerful.
3/Quality of Life – Cities were overcrowded and there was little good farmland left.
4/Religious Freedom – Wanted to find a place where they could practice their faith without being persecuted (Puritans, Quakers, Baptists).

Governing the 13 Colonies:

The type of government in the 13 Colonies was called the colonial government.
The Government consisted of:
Governor (a representative of the British Government)
A council of men who helped the Governor
A representative assembly which made laws

The Governor and his council were appointed by the King and the members of the representative assembly were elected.

Chapter 3 - The British in North America

Comparing New France with the Thirteen Colonies