Focus: interpret circle graphs to solve problems.
Circle graphs allow information to be presented in a picture that can be easily interpreted
In a circle graph, each sector represents part of the whole.
The whole circle represents 100%
Every circle graph should have a title
Each sector should have a label and percentage
If the sector is small, it can be labelled off of the graph
A legend can be used in place of labels, but percentages should still be included
If we want to calculate how much of the whole a sector makes up, we multiply the total by the percent of the sector.
Eg. if 18% of a budget is spent on bills and the total spent is $2500, we take 18% of 2500 or 0.18 x 2500
b) Samson gets a raise of $500 per month. How will this affect his food budget?
a) Which type of program is watched for the greatest amount of time?
b) Which two types of programs are watched for approximately the same amount of time?
c) Estimate the fraction of time spent watching sitcoms.
d) Suppose TV is watched for 1000 days. Estimate how much time is spent watching sitcoms.
Hi Grade 7s!
Here is a blog just for us at FMT!
At any time, you and your parents can access class notes and important information from class. Feel free to post positive comments about the material and ask questions about lessons. Daily homework and important dates for assignments and tests will still be posted on Homework Hero. Enjoy!
Mrs. Scherger
At any time, you and your parents can access class notes and important information from class. Feel free to post positive comments about the material and ask questions about lessons. Daily homework and important dates for assignments and tests will still be posted on Homework Hero. Enjoy!
Mrs. Scherger
Monday, 27 February 2012
Tuesday, 21 February 2012
4.5 Area of a Circle
Focus: Develop and use a formula to find the area of a circle.
Follow the link to view a youtube clip about finding area of a circle:
http://www.youtube.com/watch?v=5XtxdGcDOW0&safety_mode=true&persist_safety_mode=1&safe=active
So .....Just remember the formula....
For example:
Now you try a couple:
4.5 Homework - pg. 151
Follow the link to view a youtube clip about finding area of a circle:
http://www.youtube.com/watch?v=5XtxdGcDOW0&safety_mode=true&persist_safety_mode=1&safe=active
So .....Just remember the formula....
For example:
Now you try a couple:
4.5 Homework - pg. 151
The Effect of the Quebec Act in Canada
Expanded the size of Quebec by taking land from the First Nations.
Instead of giving Ohio Valley to 13 colonies the British gave this land to Quebec
French Language rights protected
French Seigneurial system remained in place.
French Catholics given freedom of religion
French Civil Law was used in Quebec.
The Catholic Church got back the power to hold property and to the tithe (tax)
French Jesuits (priests) were allowed to return to Canada.
Instead of giving Ohio Valley to 13 colonies the British gave this land to Quebec
French Language rights protected
French Seigneurial system remained in place.
French Catholics given freedom of religion
French Civil Law was used in Quebec.
The Catholic Church got back the power to hold property and to the tithe (tax)
French Jesuits (priests) were allowed to return to Canada.
The Terms of the Quebec Act
Territory
Quebec was expanded to the west to the Upper Mississippi and Ohio River. The province was now approximately three times larger than it was originally.
Government
Roman Catholics were now allowed to hold office and there was no elected assembly. Rather than the previous Royal Proclamation system, Quebec was now governed by a governor and legislative council.
Law
The traditional French system of private law was restored.
Religion
The tithe (a religious tax) was once again allowed to be collected. Also, the Jesuit priests who had, prior to the Act, had been deported were now allowed to return.
Land use system
The Seigneurial System was restored rather than the Township System.
Quebec was expanded to the west to the Upper Mississippi and Ohio River. The province was now approximately three times larger than it was originally.
Government
Roman Catholics were now allowed to hold office and there was no elected assembly. Rather than the previous Royal Proclamation system, Quebec was now governed by a governor and legislative council.
Law
The traditional French system of private law was restored.
Religion
The tithe (a religious tax) was once again allowed to be collected. Also, the Jesuit priests who had, prior to the Act, had been deported were now allowed to return.
Land use system
The Seigneurial System was restored rather than the Township System.
Tuesday, 14 February 2012
4.4 Area of a Triangle
4.4 Area of a Triangle
Focus: Develop and use a formula to find the area of a Triangle.
Can you find the differences between the triangles?
Formula for Area of a Triangle
If a triangle and parallelogram have the same base and height, the triangle will have half the area.
Homework
Page 145.....1, 2, 4, 5, 7b, 8 and 9 (assessment focus)
Focus: Develop and use a formula to find the area of a Triangle.
Can you find the differences between the triangles?
Formula for Area of a Triangle
If a triangle and parallelogram have the same base and height, the triangle will have half the area.
Homework
Page 145.....1, 2, 4, 5, 7b, 8 and 9 (assessment focus)
Friday, 10 February 2012
Quebec Act, 1774
Use the maps on pg 118 + 120 of your textbook to answer the questions below:
pg. 118 - Royal Proclamation
<1.) How has the size of Quebec changed?
2.) How has the First Nation's land been changed? How do you think the First Nations people felt about this?
3.) How has the 13 Colonies land been affected? How do you think people in the 13 Colonies feel about this?
4.) Why did the British Government decide to make these changes rather than keep the term of the Royal Proclamation of 1763?
5.) What other changes were made in the Qubec Act?
Thursday, 9 February 2012
After the War...
How was the Royal Proclamation of 1763 an attempt to achieve compromise between the First Nations, British and French?
Compare the maps on:
page 114 - Before the Royal Proclamation
page 118 - After the Royal Proclamation
Use the maps to answer the following questions:
Who gained more territory?
Who lost territory?
How do you think the First Nations feel about this treaty?
How do you think the 13 Colonies feel about this treaty?
Use the information on pgs. 117-119 of your textbook to complete the following:
What 3 Choices did the British have to deal with French Canadien Colonists after the Treaty of Paris gave them ownership of Quebec?
Eviction -
Assimilation -
Accomodation -
List 3 terms of the Royal Proclamation of 1763:
Explain in your own words what the British government decided to do:
Compare the maps on:
page 114 - Before the Royal Proclamation
page 118 - After the Royal Proclamation
Use the maps to answer the following questions:
Who gained more territory?
Who lost territory?
How do you think the First Nations feel about this treaty?
How do you think the 13 Colonies feel about this treaty?
Use the information on pgs. 117-119 of your textbook to complete the following:
What 3 Choices did the British have to deal with French Canadien Colonists after the Treaty of Paris gave them ownership of Quebec?
Eviction -
Assimilation -
Accomodation -
List 3 terms of the Royal Proclamation of 1763:
Explain in your own words what the British government decided to do:
Tuesday, 7 February 2012
4.3 Activity
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?
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?
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
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