Podcast
Questions and Answers
What has been a mainstay of Canada's economy for many years?
What has been a mainstay of Canada's economy for many years?
Which natural resources can be explored in this project?
Which natural resources can be explored in this project?
Canada is recognized as one of the world's leading exporters of which of the following?
Canada is recognized as one of the world's leading exporters of which of the following?
Which of the following statements is true regarding Canada's economy?
Which of the following statements is true regarding Canada's economy?
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What type of project will be explored related to Canada’s natural resources?
What type of project will be explored related to Canada’s natural resources?
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Which industry is NOT mentioned as a part of Canada's natural resource export?
Which industry is NOT mentioned as a part of Canada's natural resource export?
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What is the primary focus of the unit mentioned in the content?
What is the primary focus of the unit mentioned in the content?
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Which of the following is a key theme in the identified project?
Which of the following is a key theme in the identified project?
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What does the cosine law relate in a triangle?
What does the cosine law relate in a triangle?
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What is a key component to include in the project related to the chosen resource?
What is a key component to include in the project related to the chosen resource?
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Under what conditions is the cosine law typically used?
Under what conditions is the cosine law typically used?
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What will you apply your knowledge of in Chapter 1 of the project?
What will you apply your knowledge of in Chapter 1 of the project?
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Which of the following best describes when the cosine law is necessary?
Which of the following best describes when the cosine law is necessary?
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What is the main outcome of the unit project?
What is the main outcome of the unit project?
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Which of the following statements about the cosine law is false?
Which of the following statements about the cosine law is false?
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Which aspect is most likely to be assessed during the project?
Which aspect is most likely to be assessed during the project?
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How can the cosine of an angle be specifically utilized with the cosine law?
How can the cosine of an angle be specifically utilized with the cosine law?
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In terms of data presentation, what is expected in the unit project?
In terms of data presentation, what is expected in the unit project?
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What type of problems is the unit project designed to solve?
What type of problems is the unit project designed to solve?
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Which activity is integral to connecting with the resource during the unit project?
Which activity is integral to connecting with the resource during the unit project?
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What is a critical step in the journey of discovering your resource?
What is a critical step in the journey of discovering your resource?
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What is one potential purpose of the final project?
What is one potential purpose of the final project?
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Which of the following forms can the final project take?
Which of the following forms can the final project take?
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What mathematical concepts might be relevant in exploring the proposed site?
What mathematical concepts might be relevant in exploring the proposed site?
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Which interactive feature could be used in the final project presentation?
Which interactive feature could be used in the final project presentation?
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In addition to a brochure and video, what is another suggested form for the project?
In addition to a brochure and video, what is another suggested form for the project?
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What aspect should the project development encourage?
What aspect should the project development encourage?
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What type of experiences might the project aim to include?
What type of experiences might the project aim to include?
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Which presentation style is NOT mentioned as a possibility for the project?
Which presentation style is NOT mentioned as a possibility for the project?
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In which year was gold discovered in the Klondike District?
In which year was gold discovered in the Klondike District?
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What part of Canada did the Klondike District belong to after it was established?
What part of Canada did the Klondike District belong to after it was established?
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What other significant resources were discovered in the late 1800s alongside gold?
What other significant resources were discovered in the late 1800s alongside gold?
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What critical scientific concepts can be used to describe the production of resources in presentations?
What critical scientific concepts can be used to describe the production of resources in presentations?
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Which specific gold rush is referred to in the context of the Klondike District?
Which specific gold rush is referred to in the context of the Klondike District?
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What was a factor leading to the discovery of gold in the Klondike District?
What was a factor leading to the discovery of gold in the Klondike District?
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How did the discovery of resources in Canada impact the population?
How did the discovery of resources in Canada impact the population?
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What impact did the Klondike Gold Rush have on Canada's economic development?
What impact did the Klondike Gold Rush have on Canada's economic development?
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What is the formula for calculating the value of $2ab \cos C$ in triangle $ABC$?
What is the formula for calculating the value of $2ab \cos C$ in triangle $ABC$?
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If $C$ is the angle between sides $a$ and $b$, which of the following statements is true?
If $C$ is the angle between sides $a$ and $b$, which of the following statements is true?
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In triangle $ABC$, if $a = 5$, $b = 6$, and $C = 60^{\circ}$, what is $2ab \cos C$?
In triangle $ABC$, if $a = 5$, $b = 6$, and $C = 60^{\circ}$, what is $2ab \cos C$?
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Which angle measure typically leads to the maximum value of $2ab \cos C$?
Which angle measure typically leads to the maximum value of $2ab \cos C$?
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If you want to create a table for different values of $C$, which of the following values would provide a comprehensive range?
If you want to create a table for different values of $C$, which of the following values would provide a comprehensive range?
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What happens to $2ab \cos C$ when angle $C$ approaches $180^{\circ}$?
What happens to $2ab \cos C$ when angle $C$ approaches $180^{\circ}$?
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Which of the following best describes the relationship between the sides and angle in the formula $2ab \cos C$?
Which of the following best describes the relationship between the sides and angle in the formula $2ab \cos C$?
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If $a$ and $b$ are fixed values, what would be the optimal angle $C$ to maximize $2ab \cos C$?
If $a$ and $b$ are fixed values, what would be the optimal angle $C$ to maximize $2ab \cos C$?
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Study Notes
Unit Project Overview
- Unit project focuses on Canada's natural resources: petroleum, minerals, or forestry
- Students will collect and present data on chosen resource
- Project should include a log of resource discovery journey
- Project must include data on resource production (Canadian sources)
- Project should show resource development location and production using sequences and series
- Final project may be a written presentation, brochure, video, computer slideshow or interactive whiteboard presentation
Project Requirements
- Include a log of the journey leading to the discovery of the resource
- Present data on resource production, including the proposed site of development
- Use sine and cosine laws to solve problems (related to resource)
Gold Rush Example
- Gold discovered in the Klondike District (Yukon) in 1896
- Large coal and oil sand deposits discovered in the late 1800s (parts of Alberta)
- Explores the route of discovery and impact of resource discovery on the area.
Mathematical Applications
- Unit uses sine and cosine laws
- Mathematical techniques will be used to explore the resource: examples include angle calculation and the use of sequences and series for showing production of chosen resource over time.
- 2ab cos C relates side lengths of a triangle to the cosine of one of the angles
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Description
This unit project explores Canada's natural resources, focusing on petroleum, minerals, or forestry. Students will collect and present data, documenting their discovery journey and resource production. The project will incorporate sequences and series, and can be presented in various formats including written reports, brochures, or slideshows.