Handout Required!
1.) Use your pencil crayons to color each shape a different color.
2.) Then count the squares to find the area.
3.) For the last 3 shapes: (the parallelograms!) estimate, then calculate the area by
cutting out the shapes and then cutting on the dotted line.
4.) Can you make each one a rectangle? How does the area of the rectangle compare to the area of the parallelogram?
5.) Problem Solving Question: What formula can you use to calculate the area of a parallelogram?
Tuesday, 7 February 2012
Friday, 3 February 2012
4.3 Area of a Parallelogram
Focus: Develop a formula to find area of a parallelogram
Area
The amount of surface, measured in square units
Parallelogram
A polygon (quadrilateral-4 sides) with 2 sets of parallel lines
Activity - Handout Required!
Count the squares to determine the area of each parallelogram
Record your answers inside each shape
Cut shapes 3 and 4 to make them into squares or rectangles
Can you come up with a formula that will work for all parallelograms???
A=bh
Any side of the parallelogram can be the base, but the height must intersect the base at a 90ο angle
Arrowheads are used to indicate parallel lines
Practice - Page 141
#1c, 2, 5, 6, 8 & 9
Area
The amount of surface, measured in square units
Parallelogram
A polygon (quadrilateral-4 sides) with 2 sets of parallel lines
Activity - Handout Required!
Count the squares to determine the area of each parallelogram
Record your answers inside each shape
Cut shapes 3 and 4 to make them into squares or rectangles
Can you come up with a formula that will work for all parallelograms???
A=bh
Any side of the parallelogram can be the base, but the height must intersect the base at a 90ο angle
Arrowheads are used to indicate parallel lines
Practice - Page 141
#1c, 2, 5, 6, 8 & 9
The Battle of the Plains of Abraham
When: September 13, 1759
Where: Quebec
Background: Part of Seven Year’s War – both Europe and North America (1756-1763)
In Canada, early French success, more manpower and forts
Later (1758-1759), British success – more money, men are allotted, power of Royal Navy
By 1759, New France faced odds of nearly 3 to 1 in terms of ships, 4 to 1 in terms of regular soldiers, and 10 to 1 in money
English forces:
James Wolfe – commander of British invasion fleet sent to take Quebec
Invasion force = 13,500 men, 4000 in strike force (mostly regular soldiers)
French Forces:
led by Marquis de Montcalm
Approximately 4500 men (mostly militiamen)
Problems with French Defense
- West side of city walls facing the Plains of Abraham had no gun reinforcements
- Left undefended the south bank of the river opposite the city and shortly after their arrival, the British established batteries there and were able to launch attacks
- Under cover of fire, Royal Navy could transport its ships up the river without counterattack
Summer 1759:
All summer British took garrisons all around modern day provinces of Quebec and Ontario
Devastated the parishes around Quebec city. On the south shore of the St. Lawrence River, the British destroyed 1000 buildings as well as the Canadians’ harvest
Battle Preparations
Wolfe wanted to force Montcalm into an open, European-style battle, but was running out of time – the Navy had to go back to Britain for the winter
However, he found a small cove called Anse au Foulon from which a narrow path led up the steps of the cliff to Quebec garrison
French believed no force could climb the narrow path so left it undefended
French Mistakes
French failed to establish a password for a French convoy expected to bring supplies on the night of September 12
The British attack was a complete surprise – French sentries on the shore thought that the boats gliding past them were part of the French convoy (was actually cancelled) and Wolfe had those soldiers who could speak French answer the French sentries in their own language
Ready for Attack
In total, 3 landing ships reached the shore
The advance force of Scottish Highlanders walked up the steep path, two by two, and, without detection, gained the summit of the cliffs and overpowered the French post there
Wolfe’s risks paid off
The sentries did not recognize the British in time because the convoy had been expected
His difficult landing was successful and without problems
The Plains of Abraham
Wolfe deployed 4500 troops on the Plains of Abraham, the grassy field near the unarmed western walls of the fort
Montcalm makes a fatal error- Instead of waiting for Colonel de Bougainville to arrive with 3000 regulars stationed at Cap Rouge, 15 km upstream, he impulsively attacks
British strategies – Three quarters of men deployed in one line in a concentration of firepower
When the French army was only 40m away, the command to fire was given and the French were devastated, their lines in chaos
One volley later, they retreated up the St. Lawrence River
Battle lasted less than 30 minutes
The two forces were numerically equal, however, the British force was composed of regulars and the French, poorly trained militiamen
British Casualties
Approximately 650 men
Wolfe was shot and killed on the battlefield
French Casualties
Approximately 650 men
Montcalm was also wounded in battle and died from his wounds the next morning
By September 18, the fort at Quebec, short of provisions and soldiers and weakly fortified on its west side, was surrendered
Repercussions
The battle was a serious blow to the French, but all was not lost on September 13
France still controlled the rest of the St. Lawrence valley and its army was still in tact
Contrary to popular belief, the Battle of the Plains of Abraham did not determine New France’s fate. It was a naval battle fought at Quiberon Bay off the coast of France during which the British navy’s destruction of the French fleet later prevented France from sending a rescue force to save Canada, that sealed its fate
During an attempt to recapture Quebec, the French army ran short of ammunitions and supplies and no ship was available to come from France to its aid
Almost one year later, September 18, 1760 – the French surrendered all of New France and the British took the final French stronghold at Montreal.
Where: Quebec
Background: Part of Seven Year’s War – both Europe and North America (1756-1763)
In Canada, early French success, more manpower and forts
Later (1758-1759), British success – more money, men are allotted, power of Royal Navy
By 1759, New France faced odds of nearly 3 to 1 in terms of ships, 4 to 1 in terms of regular soldiers, and 10 to 1 in money
English forces:
James Wolfe – commander of British invasion fleet sent to take Quebec
Invasion force = 13,500 men, 4000 in strike force (mostly regular soldiers)
French Forces:
led by Marquis de Montcalm
Approximately 4500 men (mostly militiamen)
Problems with French Defense
- West side of city walls facing the Plains of Abraham had no gun reinforcements
- Left undefended the south bank of the river opposite the city and shortly after their arrival, the British established batteries there and were able to launch attacks
- Under cover of fire, Royal Navy could transport its ships up the river without counterattack
Summer 1759:
All summer British took garrisons all around modern day provinces of Quebec and Ontario
Devastated the parishes around Quebec city. On the south shore of the St. Lawrence River, the British destroyed 1000 buildings as well as the Canadians’ harvest
Battle Preparations
Wolfe wanted to force Montcalm into an open, European-style battle, but was running out of time – the Navy had to go back to Britain for the winter
However, he found a small cove called Anse au Foulon from which a narrow path led up the steps of the cliff to Quebec garrison
French believed no force could climb the narrow path so left it undefended
French Mistakes
French failed to establish a password for a French convoy expected to bring supplies on the night of September 12
The British attack was a complete surprise – French sentries on the shore thought that the boats gliding past them were part of the French convoy (was actually cancelled) and Wolfe had those soldiers who could speak French answer the French sentries in their own language
Ready for Attack
In total, 3 landing ships reached the shore
The advance force of Scottish Highlanders walked up the steep path, two by two, and, without detection, gained the summit of the cliffs and overpowered the French post there
Wolfe’s risks paid off
The sentries did not recognize the British in time because the convoy had been expected
His difficult landing was successful and without problems
The Plains of Abraham
Wolfe deployed 4500 troops on the Plains of Abraham, the grassy field near the unarmed western walls of the fort
Montcalm makes a fatal error- Instead of waiting for Colonel de Bougainville to arrive with 3000 regulars stationed at Cap Rouge, 15 km upstream, he impulsively attacks
British strategies – Three quarters of men deployed in one line in a concentration of firepower
When the French army was only 40m away, the command to fire was given and the French were devastated, their lines in chaos
One volley later, they retreated up the St. Lawrence River
Battle lasted less than 30 minutes
The two forces were numerically equal, however, the British force was composed of regulars and the French, poorly trained militiamen
British Casualties
Approximately 650 men
Wolfe was shot and killed on the battlefield
French Casualties
Approximately 650 men
Montcalm was also wounded in battle and died from his wounds the next morning
By September 18, the fort at Quebec, short of provisions and soldiers and weakly fortified on its west side, was surrendered
Repercussions
The battle was a serious blow to the French, but all was not lost on September 13
France still controlled the rest of the St. Lawrence valley and its army was still in tact
Contrary to popular belief, the Battle of the Plains of Abraham did not determine New France’s fate. It was a naval battle fought at Quiberon Bay off the coast of France during which the British navy’s destruction of the French fleet later prevented France from sending a rescue force to save Canada, that sealed its fate
During an attempt to recapture Quebec, the French army ran short of ammunitions and supplies and no ship was available to come from France to its aid
Almost one year later, September 18, 1760 – the French surrendered all of New France and the British took the final French stronghold at Montreal.
Wednesday, 1 February 2012
4.2 Circumference of a Circle
4.2 Circumference of a Circle
Focus: Investigate the relationship between the circumference and diameter of a circle.
Explore......You need
3 different circular objects
Piece of String
Graph paper.
Ruler
Using your string and a ruler......
Measure the distance around (circumference) each shape.
Measure the radius.
Measure the diameter.
Record all measurements in your table:
The distance around a circle is the circumference.
To estimate the circumference of any circle, multiply the Diameter by 3.
There is a relationship between a circles, circumference and it's diameter.
C divided by d = pi
Examples... Find C in each circle.
Homework...
Page 136 ......1- 8
Focus: Investigate the relationship between the circumference and diameter of a circle.
Explore......You need
3 different circular objects
Piece of String
Graph paper.
Ruler
Using your string and a ruler......
Measure the distance around (circumference) each shape.
Measure the radius.
Measure the diameter.
Record all measurements in your table:
The distance around a circle is the circumference.
To estimate the circumference of any circle, multiply the Diameter by 3.
There is a relationship between a circles, circumference and it's diameter.
C divided by d = pi
Examples... Find C in each circle.
Homework...
Page 136 ......1- 8
Thursday, 26 January 2012
4.1 Investigating Circles
Focus: Measure both the radius and the diameter and
discover their relationship.
A circle is an enclosed curve.
All points on a circle are the same distance from the center of the circle.
A radius represents the distance from the circle center to the circle's edge.
radii is the plural form of radius.
A diameter is any line from 1 side of the circle, to the other......but must pass through the center of the circle.
2 radii equal 1 diameter. (2r = 1d)
Explore - p. 130
A. Construct a Circle with a radius of 4 cm. Label
the radius, and explain how you made the circle.
B. Construct a circle with a diameter of 7 cm.
Label your circle and explain it's construction.
C. Construct a circle with a radius of 10 cm. Do
not use a compass. Explain your strategy.
D. Construct a circle, but do not mark the circle
centre. Cut out the circle. Explain how you
could find the circle's centre.
Complete homework
page...131
1-7
discover their relationship.
A circle is an enclosed curve.
All points on a circle are the same distance from the center of the circle.
A radius represents the distance from the circle center to the circle's edge.
radii is the plural form of radius.
A diameter is any line from 1 side of the circle, to the other......but must pass through the center of the circle.
2 radii equal 1 diameter. (2r = 1d)
Explore - p. 130
A. Construct a Circle with a radius of 4 cm. Label
the radius, and explain how you made the circle.
B. Construct a circle with a diameter of 7 cm.
Label your circle and explain it's construction.
C. Construct a circle with a radius of 10 cm. Do
not use a compass. Explain your strategy.
D. Construct a circle, but do not mark the circle
centre. Cut out the circle. Explain how you
could find the circle's centre.
Complete homework
page...131
1-7
Tuesday, 24 January 2012
Acadian Deportation
**Remember to check out your textbook for additional and background information.**
Source Analysis:
Look at the picture and answer the following questions:
What is happening?
What clues/evidence support your claim?
The Deportation
The Deportation, was the ethnic cleansing of the Acadian population from Nova Scotia, P.E.I., and Cape Breton between 1755 and 1763.
The relationship between the French and the English had always been filled with animosity.
British worry Acadians will be disloyal, tried to make them swear an oath or be deported.
1755 - That year, the British attacked the French Fort Beauséjour during the beginnings of a major military offensive to gain greater control of the continent.
Within the walls of the fort, 300 Acadians were found. Despite claims that they had been forced to take up arms against their will, the discovery completely eroded British trust of the Acadians.
Lawrence was raging mad over the amount of Acadians who had rallied to Beausejour’s defense.
Lawrence said, “Their pretending to have been taken forced to take up arms is an insult upon Common Sense.” “The Acadians will prove for ever a Thorn in our Side.”
He made sure that London found out about the 300 Acadians present at the Fort
Governor Lawrence gave the Acadians one last opportunity to swear allegiance to the British Crown. The Acadians again refused, believing that this demand was no different than ones made over the past few decades.
The British response was swift and unforgiving.
Before 1755 was over, an estimated 6,000 Acadians - approximately three-quarters of their total population - were rounded up as prisoners and forced onto ships. Nearly half would die en route.
Québec History 10 - The Acadians Deportation:
http://www.youtube.com/watchv=RnpW5IVyWtU&feature=related&safety_mode=true&persist_safety_mode=1&safe=active
Source Analysis:
Look at the picture and answer the following questions:
What is happening?
What clues/evidence support your claim?
The Deportation
The Deportation, was the ethnic cleansing of the Acadian population from Nova Scotia, P.E.I., and Cape Breton between 1755 and 1763.
The relationship between the French and the English had always been filled with animosity.
British worry Acadians will be disloyal, tried to make them swear an oath or be deported.
1755 - That year, the British attacked the French Fort Beauséjour during the beginnings of a major military offensive to gain greater control of the continent.
Within the walls of the fort, 300 Acadians were found. Despite claims that they had been forced to take up arms against their will, the discovery completely eroded British trust of the Acadians.
Lawrence was raging mad over the amount of Acadians who had rallied to Beausejour’s defense.
Lawrence said, “Their pretending to have been taken forced to take up arms is an insult upon Common Sense.” “The Acadians will prove for ever a Thorn in our Side.”
He made sure that London found out about the 300 Acadians present at the Fort
Governor Lawrence gave the Acadians one last opportunity to swear allegiance to the British Crown. The Acadians again refused, believing that this demand was no different than ones made over the past few decades.
The British response was swift and unforgiving.
Before 1755 was over, an estimated 6,000 Acadians - approximately three-quarters of their total population - were rounded up as prisoners and forced onto ships. Nearly half would die en route.
Québec History 10 - The Acadians Deportation:
http://www.youtube.com/watchv=RnpW5IVyWtU&feature=related&safety_mode=true&persist_safety_mode=1&safe=active
Wednesday, 18 January 2012
3.8 - Solving Percent Problems
Focus - Solve problems involving percent to 100%
Remember..."of" means multiply
Whenever you see "of" replace it with X
A snow board regularly sells for $399.95.
On Saturday, the snow board will be on sale for 30% off.
Answer the following questions:
What is the sale price of the board?
How much money will you save if you buy the board on sale?
What is the total cost of the board, on sale, if you add in the G.S.T. ? (5%)
How much money will you save if you buy the board on sale?
$399.95. x 0.30 =
What is the sale price of the board?
399.99 - =
(answer from above)
What is the total cost of the board ,on sale, if you add in the G.S.T. (5%) ?
x 0.05 =
Then, add the value of 5% to the sale price.
OR..... x 1.05 =
Examples:
Find 17% of 55
6% of 118
80% of 250
Practice - p. 115 - 116, #1-7
***Refer to "Connect" pg. 114 and "Example" p. 115 for more information.
Remember..."of" means multiply
Whenever you see "of" replace it with X
A snow board regularly sells for $399.95.
On Saturday, the snow board will be on sale for 30% off.
Answer the following questions:
What is the sale price of the board?
How much money will you save if you buy the board on sale?
What is the total cost of the board, on sale, if you add in the G.S.T. ? (5%)
How much money will you save if you buy the board on sale?
$399.95. x 0.30 =
What is the sale price of the board?
399.99 - =
(answer from above)
What is the total cost of the board ,on sale, if you add in the G.S.T. (5%) ?
x 0.05 =
Then, add the value of 5% to the sale price.
OR..... x 1.05 =
Examples:
Find 17% of 55
6% of 118
80% of 250
Practice - p. 115 - 116, #1-7
***Refer to "Connect" pg. 114 and "Example" p. 115 for more information.
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