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Transcript
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
Fetac Mathematics Level 4 Code 4N1987
Geometry Brief
Name:
Date Received:
Page | 1
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2 GEOMETRY
Description of contents.
2.1 Describe simple geometric shapes associated with the home
and workplace
2.2 Recognize folding symmetry and rotational symmetry in common
shapes
2.3 Plot graphs of ordered pairs in the coordinate plane showing the
relationship between two variables, using real life situations and
the correct terminology
2.4 Use formulae for calculations in the coordinate plane correctly,
including distance between two points, mid-point of a line
segment, slope of a line, parallel lines, perpendicular lines,
equation of a line, equation of a circle with centre (0,0) and
radius r, and tangent to a circle
2.5 Construct, using drawing instruments, a variety of angles and
simple geometric shapes to given criteria to include naming of
angle types and sides associated with the shapes and angles
2.6 Solve practical problems by using the correct formula(e) to
calculate the area and perimeter of a square, rectangle, triangle,
and circle, giving the answer in the correct form and using the
correct terminology
2.7 Solve practical problems by using the correct formula(e), to
calculate the volume/capacity and surface area of a cube,
cuboid, cylinder, cone, and sphere, giving the answer in the
correct form and using the correct terminology
2.8 Apply standard axioms and theorems of geometry, including
Pythagoras Theorem, to solve real life or simulated problems
involving straight lines, parallel lines, angles, and triangles.
Page | 2
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.1 Describe simple geometric shapes associated with the home
and workplace
2.1.1 Discussion questions: Why are manhole covers mostly circular?
Why are most window panes rectangular?
2.1.2 We use the language of geometry to describe the shape of objects. Name some household or
workplace object whose shape could be described by each of the following terms
Square
Circular
Rectangular
Triangular
Cube shaped
Cone shaped
Cylindrical
Page | 3
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.2 Recognize folding symmetry and rotational symmetry in common
Shapes
On the following shapes, mark the axis of folding symmetry and the axis of rotational symmetry.
Page | 4
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.3 Plot graphs of ordered pairs in the coordinate plane showing the
relationship between two variables, using real life situations and
the correct terminology
In this section we wish to graph some real life data. The graph should have a caption, and both axes
should be labeled appropriately. A brief descrition of how the data was collacted should be
included.
Three possible data collection exercises are given below, other data collection exercises may be used
if your tutor agrees.
Suggestion 1 Gather data on the drop in temperature a a container of hot water cools. Suggested
apparatus a cup of boiling or close to boiling water, a thermometer, and some method for keeping
track of time.
Sugestion 2 Measure the loss in weight of a candle or set of candles as they burn. Suggested
apparatus: four night lights, and a digital weighting scales. The weight loss should be recorded over
a period of half an hour or so
Suggestion 3 Light levels are measured moving away from a light source, and both the light level
and the distance are recorded and ploted.
Page | 5
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.4 Use formulae for calculations in the coordinate plane correctly,
including distance between two points, mid-point of a line
segment, slope of a line, parallel lines, perpendicular lines,
equation of a line, equation of a circle with centre (0,0) and
radius r, and tangent to a circle
Page | 6
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.5 Construct, using drawing instruments, a variety of angles and
simple geometric shapes to given criteria to include naming of
angle types and sides associated with the shapes and angles
Page | 7
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.6 Solve practical problems by using the correct formula(e) to
calculate the area and perimeter of a square, rectangle, triangle,
and circle, giving the answer in the correct form and using the
correct terminology
Page | 8
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.7 Solve practical problems by using the correct formula(e), to
calculate the volume/capacity and surface area of a cube,
cuboid, cylinder, cone, and sphere, giving the answer in the
correct form and using the correct terminology
Page | 9
Fetac Mathematics Level 4 Code 4N1987 Geometry
Name :
Date:
2.8 Apply standard axioms and theorems of geometry, including
Pythagoras Theorem, to solve real life or simulated problems
involving straight lines, parallel lines, angles, and triangles.
Page | 10