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ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : LINES AND ANGLES
NO FORM OBJECTIVES SKILLS NOTES
1 ONEStudents will be taught to:
1. Understand the concept of
angles
Students should be able to:
i. Recognise angles
ii. Denote and label angles
iii. Measure angles using protractors
iv. Draw angles using protractors
v. Recognise, compare and classify angles as
acute, right, obtuse and refle
vi. Draw acute, right, obtuse and refle.
vii. Draw acute, right, obtuse and refle angles
using protractors
viii. Determine angles on straight lines e!ual
1"#o
i. Determine one whole turn is $%#o
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NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
2 ONE
&. Understand the concept of
parallel and perpendicular
lines
Students should be able to:
i. Determine parallel lines
ii. Determine perpendicular lines
iii. State that the angles were formed by
perpendicular lines is '#o.
3 ONE$. understand and use
properties of angles
associated with intersecting
lines to solve problems
Students should be able to:
i. (dentify intersecting lines
ii. Determine the properties of vertical,
complementary and supplementary
angles
iii. Determine the value of an angle on a
line, given the ad)acent angle
iv. Solve the problems involving angles
formed by intersecting lines
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
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TOPIC : PYTHAGORASTHEOREM
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
4 TO 1. Understand the relationship
between the sides of a right*
angled triangle
Students will be able:
i. (dentify the hypotenuse of right*
angled triangles
ii. Determine the relationship between
the lengths of sides of a right*angled
triangle
iii. +ind the length of the missing side of
a right*angled triangle using the
ythagoras-s theorem
iv. +ind the length of sides of geometric
shapes using ythagoras-s theorem
v. Solve problems using the
ythagoras- theorem
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
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TOPIC : GEOMETRICAL CONSTRUCTIONS
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
5 TOUnderstand and use the converse of
the ythagoras- theorem
Students will be able to:
i. Determine whether a triangle is a right*
angled triangle
ii. Solve problems involving the converse
ythagoras- theorem
ote that:
(f a&> b& / c&, then 0 is an
obtuse angle
(f a&
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NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
TORelate the construction to the
properties of e!uilateral triangle
5plore situation when two
different triangles can be
constructed
iv. construct:
a2 angle of %#o and 1o
b2 bisector of an angle
v. construct triangles given:
a2 one side and two angles
b2 two sides and one angle
vi. construct:
a2 parallel lines
b2 parallelogram given its sides and an angle
Students learn measuring
angle using protractors
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : LOCI IN TO DIMENSIONS
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NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
" TOUnderstand the concept of two
dimensional loci
Students will be able to:
i. Describe and s7etch the locus of a
moving ob)ect
ii. Determine the locus of points that
are of:
a2 constant distance from a fied point
b2 e!uidistant from two fied point
c2 constant distance from a straight line
d2 e!uidistant from two intersecting lines
iii. 3onstruct the locus of a set of all
points that satisfies the condition:
a2 the point is at a constant distance from a
straight line
b2 the point is at e!uidistant from two
intersecting lines
5mphasise the accuracy
drawings
Relate to properties of
isosceles triangle
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : CIRCLES
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NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
# TOUnderstand and use concept of arc
of a circle to solve problem
Students will be able to:
i. derive the formula of the
length of an arc
ii. find the length of arc given
the angle at the centre and
the radius
iii. find the angle at the centre
given the length of the arc
and the radius of a circle
$ TOUnderstand and use the concept of
area of sector of a circle to solve
problems
i. +ind the area of a sector given the radius
and angle at the centre
ii. +ind the angle at the centre given the radius
and area of a sector
iii. +ind the radius given the area of a sector
and the angle at the centre
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : CIRCLES II
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
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1% THREEUnderstand and use properties of
angles in circles
Students will be able to:
i. identify angles subtended by an arc
at the centre and at the
circumference of a circle
ii. determine that angles subtended at
the circumference by the same arc
are e!ual
iii. determine that angles subtended:
a2 at the circumference
b2 at the centre
iv. determine the relationship betweenangle at the centre and angle at the
circumference subtended by an arc
v. determine the si9e of an angle
subtended at the circumference in a
semicircle
(nclude refle angles
subtended at the centre
0ngle subtended by an arc is
the same as angle subtended
by the corresponding chord
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : LINES AND ANGLES II
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
i. (dentify:
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11 THREE Understand and use of
properties of angles associated
with transversal and parallel
lines
a2 transversals
b2 corresponding angles
c2 alternate angles
d2 interior angles.
ii. Determine that for parallel lines:
a2 corresponding angles are e!ual
b2 alternate angles are e!ual
c2 sum of interior angles is 1"#.
iii. +ind the values of:
a2 corresponding angles
b2 alternate angles
c2 interior angles associated with parallel lines.
iv. Determine if two given lines are parallel based on
the properties of angles associated with transversals.
v. Solve problems involving properties of angles associated
with transversals
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : POLYGONS II
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
12 THREE Understand and use the i. (dentify the interior angles and eterior angles of a polygon.
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7nowledge of eterior and
interior angles of polygons.
ii. +ind the si9e of an eterior angle when the interior angle
of a polygon is given and vice versa.
iii. Determine the sum of the interior angles of polygons.
iv. Determine the sum of the eterior angles of polygons
v. +ind:a2 the si9e of an interior angle of a regular polygon given
the number of sides.
b2 the si9e of an eterior angle of a regular polygon given
the number of sides.
c2 the number of sides of a regular polygon given the si9e
of the interior or eterior angle.
vi. Solve problems involving angles and sides of polygons.
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : CIRCLES II
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
13 THREEUnderstand and use the concepts of Students will be able to:
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cyclic !uadrilaterals
i. identify interior opposite angles of cyclic
!uadrilaterals
ii. determine the relationship between interior
opposite angles of cyclic !uadrilaterals
iii. identify eterior angles and the
corresponding interior opposite angles of
cyclic !uadrilaterals
iv. determine the relationship between eterior
angles and the corresponding interior
opposite angles of cyclic !uadrilaterals
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : TRIGONOMETRY
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
14 THREEUnderstand and use tangent of
an acute angle in a right*angled
triangle.
i. (dentify the:
a2 hypotenuse
b2 the opposite side and the ad)acent side with respect
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to one of the acute angles.
ii. Determine the tangent of an angle.
iii. 3alculate the tangent of an angle given the lengths of
sides of the triangle.
iv. 3alculate the lengths of sides of a triangle given the
value of tangent and the length of another side.
15 THREEUnderstand and use sine of an
acute angle in a right*angled
triangle.
i. Determine the sine of an angle.
ii. 3alculate the sine of an angle given the lengths of sides
of the triangle.
iii. 3alculate the lengths of sides of a triangle given the
value of sine and the length of another side.
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : TRIGONOMETRY
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
1! THREE
Understand and use cosine of
an acute angle in a right*angled
triangle.
i. Determine the cosine of an angle.
ii. 3alculate the cosine of an angle given the lengths of
sides of the triangle.
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iii. 3alculate the lengths of sides of a triangle given the
value of cosine and the length of another side.
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : THE STRAIGHT LINE
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
1" FOUR
Understand the concept of gradientof a straight line
Students will be able to:
i. determine the vertical and hori9ontaldistances between two given points on a
straight line
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ii. determine the ratio of vertical distance to
hori9ontal distance
1# FOUR Understand the concept of gradient
of a straight line in 3artesiancoordinates
i. derive the formula for the gradient of a
straight lineii. calculate the gradient of a straight line
passing through two points
iii. determine the relationship between the
value of the gradient and the:
a2 steepness
b2 direction of inclination, of a straight line
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : THE STRAIGHT LINE
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
1$ FOUR Understand the concept of
intercept
i. determine the *intercept and y*intercept of
a straight line
ii. derive the formula for the gradient of a
straight line in terms of the *intercept and
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the y*intercept
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : THE STRAIGHT LINE
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
2% FOUR
Understand and use e!uation ofa straight line
i. Draw the graph given an e!uation of the
form y ; m / cii. determine whether a given point lies on a
specific straight line
5mphasise that the graphobtained is a straight line
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iii. write the e!uation of the straight line given
the gradient and y*intercept
iv. determine the gradient and y*intercept of the
straight line which e!uation is of the form:
a2 y ; m / c
b2 a / by / c
v. find the e!uation of the straight line which:
a2 is parallel to the *ais
b2 is parallel to the y*ais
c2 passes through a given point and has a specific
gradient
d2 passes through two given points
(f a point lies on a straight line,
then the coordinates of the
point satisfy the e!uation of
the straight line
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : THE STRAIGHT LINE
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
21 FOUR
Understand and use the conceptof parallel lines
i. verify that two parallel lines have the samegradient and vice versa
ii. determine from the given e!uations whether
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ii.
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$%#2 to solve problems a2 the value of y*coordinate,
b2 the value of x*coordinate,
c2 the ratio of y*coordinate to x*coordinate
of several points on the circumference of the
unit
iii. Determine the values of:
a2 sine,
b2 cosine,
c2 tangent of an angle in !uadrant ( of the
unit circle.
ANALYSIS OF MATHEMATICS TOPIC IN FORM 1 5
TOPIC : TRIGONOMETRY II
NO FORM OBJECTIVES LEARNING OUTCOMES NOTES
1'