Statement of Inquiry
Geometry and trigonometry allow us to quantify the physical world, enhancing our spatial awareness in two and three dimensions. This branch provides us with the tools for analysis, measurement, and transformation of quantities, movements, relationships.
Concepts
Quantity,
Space
Quantity:
An amount or number.
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Space:
The frame of geometrical dimensions describing an entity.
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Learning Topics
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Numbers
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Algebraic expressions
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Measurement
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Units of measure
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Approximation
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Estimation
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Lower/Upper Bounds
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Error/Percentage Error
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Trigonometric ratios
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Angles of elevation/depression
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Length of an arc
Prior Learning Support
Course Syllabus Topics
Conceptual Understandings
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Approximation of numbers adds uncertainty or inaccuracy to calculations, leading to potential errors but can be useful when handling extremely large or small quantities.
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The properties of shapes are highly dependent on the dimension they occupy in space.
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The relationship between the length of the sides and the size of angles in a triangle can be used to solve many problems involving position, distance, angles, and area.
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Different representations of trigonometric expressions help to simplify calculations.
Further Conceptual Understandings
Unit Discussion
Questions & Suggestions
Click on the microphone icon to enter our Unit and Lesson Discussion.
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Begin a discussion thread by adding a specific question under a Lesson heading.
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Suggest links to videos and websites that have helped you in your learning.
Lesson 1:
Estimating, Measuring,
and Significant Figures
Link to the Course Calendar
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
What might be the ethical implications of rounding numbers?
Reflect
Lesson 2:
Accuracy and
Scientific Notation
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
To what extent do instinct and reason create knowledge?
Do the names we give things impact how we understand them?
Reflect
Lesson 3:
Pythagorean Theorem and
Trigonometry
Learn
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
How does the perception of the language being used distort our understanding?
What do we mean when we say one number is larger than another?
Reflect
Lesson 4:
Applied Trigonometry &
Arc Length
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
How certain is the shared knowledge of mathematics?
What does it mean to say that mathematics is an axiomatic system?
Reflect
Lesson 5:
Toolkit Activity
and Unit Review
In SeeSaw, respond to one. Then, comment to someone else with agreements/disagreements.
TOK Reflections:
...