Topic: Algebraic models (ii)
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The concepts:
Relationship
Generalization, Representation
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Statement of inquiry:
Algebraic models represent general relationships which are fairly developed.
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- Factorising by common factors
- Factorising by middle term breaking method
- Simplifying rational fractions
- Addition and subtraction of expressions
- Simultaneous equations by graphical method
- Simultaneous equations by elimination method
- Graphs of physical phenomena
Topic: Statistics and probability
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The concepts:
Logic
Equivalence, Measurement, Pattern
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Statement of inquiry:
The relationships around us show some patterns which are equivalent and measurable to some statistical scale and variability.
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- Mean, median & Mode
- Frequency distribution table
- Box and whisker plot
- Measures of Spread: Standard Deviation
- How to use calculator for Mean & SD
- What is probability ?
- Venn diagram
- Tree diagram
- Calculating compound Events
Topic: Measurement / Trigonometry
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The concepts:
Form
Measurement, Model, Space
Measurement, Model, Space
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Statement of inquiry:
Trigonometry and geometry help to measure different types of physical models & spaces which result to technical developments.
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1- What is trigonometry?
2- Basics of trigonometry
3- Trigonometry SOH CAH TOA (Trigonometric ratios)
4- Angles Of Elevation And Depression
Topic: Coordinate geometry
- Coordinate geometry: Group tasks:
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1- Which of the two points M(3, 6) and N(6, −4)
is closer to P(−2, −1)?
2- Show that the point A(8, 4) is equidistant
(that is, the same distance) from points B(−4, −1) and C(13, 16)
3- Consider
the interval AB with endpoints A(−1, −4) and B(3, 8).
a- Find the gradient of AB.
b- Find the
coordinates of C, the midpoint of interval AB.
c- Find the equation
of the line that passes through C with gradient − 1/2.
d- What are the
coordinates of the point D, where the line intersects the y-axis?
e- How far is the point C from the point D?
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1- The Coordinate Plane
3- Graphing Lines in Slope-Intercept form y=mx+b
4- Parallel and Perpendicular Lines
Topic: Vector & Bearing
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The concepts:
Relationship
Measurement, Quantity, Representation
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Statement of inquiry:
Vectors & bearing are operated to measure unknown quantities such as displacements, speed, directions etc. with fairly developed methods.
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- Vectors
- Follow the link to do an online worksheet
- What is bearing
Topic: Measurement, trigonometry
- Finding out areas
- Volume
- Volume of prisms
- Trigonometrical ratios
- Angles Of Elevation And Depression
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