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Mathematics
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TERM II
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WK LSN TOPIC SUB-TOPIC OBJECTIVES T/L ACTIVITIES T/L AIDS REFERENCE REMARKS
1

Opening, reporting, and revision of end-term one exams.

2 1
Similarity and enlargement
Similar figures
By the end of the lesson, the learner should be able to:

Calculate lengths of objects
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 87-88     Discovering secondary pg 52
2 2
Similarity and enlargement
Similar figures
Enlargement
Enlarge objects
By the end of the lesson, the learner should be able to:

Use ratio to calculate the lengths of similar figures
Defining
Discussions
Solving problem
Explaining
Sets
Books
Videos
Charts
Apparatus
KLB Mathematics
Book Two
Pg 88-90    Discovering secondary pg 56
2 3
Similarity and enlargement
Linear scale factor
By the end of the lesson, the learner should be able to:

Determine the linear scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 100    Discovering secondary pg  54
2 4
Similarity and enlargement
Negative scale factor
Positive and negative linear scale factor
Area scale factor
By the end of the lesson, the learner should be able to:

Find the negative scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Sets
KLB Mathematics
Book Two
Pg 104   Discovering secondary pg 59
2 5
Similarity and enlargement
Area of scale factor
Volume scale factor
Volume scale factor
By the end of the lesson, the learner should be able to:

Use area scale factor to solve problems
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
KLB Mathematics
Book Two
Pg 108   Discovering secondary pg 64
2 6
Similarity and enlargement
Trigonometry 
Area and volume scale factor
Pythagoras Theorem
By the end of the lesson, the learner should be able to:

Solve problems on area and volume scale factor
Defining
Discussions
Solving problem
Explaining
Apparatus
Books
Videos
Charts
Chalkboard Charts Illustrating derived theorem
KLB Mathematics
Book Two
Pg 111-112  Discovering secondary pg 64
3 1
Trigonometry 
Solutions of problems Using Pythagoras Theorem
Application to real life Situation
Trigonometry Tangent, sine and cosines
By the end of the lesson, the learner should be able to:
Solve problems using Pythagoras Theorem
Solving problems using Pythagoras theorem
Charts illustrating Pythagoras theorem
Mathematical table
Charts illustrating tangent, sine and cosine
KLB BK2 Pg 121   Discovering secondary pg 67
3 2
Trigonometry 
Trigonometric Table
Angles and sides of a right angled triangle
Establishing Relationship of sine and cosine of complimentary angles
By the end of the lesson, the learner should be able to:
Use trigonometric tables to find the sine, cosine and tangent
Reading trigonometric tables of sines, cosines and tangent
Mathematical table
Mathematical table Charts Chalkboard
Chalkboards
KLB BK2 Pg 127, 138, 139   Discovering secondary pg 71
3 3
Trigonometry 
Sines and cosines of Complimentary angles
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90
By the end of the lesson, the learner should be able to:
Use the relationship of sine and cosine of complimentary angles in solving problems
Solving problems involving the sines and cosines of complimentary angles
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle
KLB BK2 Pg 145
3 4
Trigonometry 
Application of Trigonometric ratios in solving problems
Logarithms of Sines
By the end of the lesson, the learner should be able to:
Solve trigonometric problems without using tables
Solving trigonometric problems of special angles
Chalkboard
Chalkboard Mathematical tables
KLB BK2 Pg 148
3 5
Trigonometry 
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents
Application of trigonometry to real life situations
By the end of the lesson, the learner should be able to:
Read the logarithm of cosines and tangents from mathematical tables
Reading logarithms of cosine and tangent from mathematical table
Chalkboard Mathematical table
Mathematical table
KLB BK2 Pg 150-152
3 6
Trigonometry 
Area of a triangle Area of a triangle given the base and height (A = ? bh)
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c)
By the end of the lesson, the learner should be able to:
Calculate the are of a triangle given the base and height
Calculating the area of a triangle given the base and height
Chart illustrating worked problem Chalkboard
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table
KLB BK2 Pg 155
4 1
Trigonometry 
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite
By the end of the lesson, the learner should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite
KLB BK2 Pg 161-163
4 2
Trigonometry 
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon
Area of part of a circle Area of a sector (minor sector and a major sector)
By the end of the lesson, the learner should be able to:
Find the area of a regular polygon
Calculating the area of a regular polygon
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes
Charts illustrating sectors
KLB BK2 Pg 164
4 3
Trigonometry 
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii
Area of a common region between two circles given only the radii of the two circles and a common chord
By the end of the lesson, the learner should be able to:
- Define what a segment of a circle is - Find the area of a segment of a circle
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation
Charts illustrating common region between two intersecting circles
KLB BK2 Pg 169-170
4 4
Trigonometry 
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism
Area of a square based Pyramid
Surface area of a Rectangular based Pyramid
By the end of the lesson, the learner should be able to:
Define prism and hence be in a position of calculating the surface area of some prisms like cylinder, triangular prism and hexagonal prism
Defining a prism Calculating the surface area of the prisms
Models of cylinder, triangular and hexagonal prisms
Models of a square based pyramid
Models of a Rectangular based pyramid
KLB BK 2 Pg 177
4 5
Trigonometry 
Surface area of a cone using the formula A = ?r2 + ?rl
Surface area of a frustrum of a cone and a pyramid
By the end of the lesson, the learner should be able to:
Find the total surface area of the cone by first finding the area of the circular base and then the area of the curved surface
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
Models of a cone
Models of frustrum of a cone and a pyramid
KLB BK 2 Pg 181
4 6
Trigonometry 
Finding the surface area of a sphere
Surface area of a Hemispheres
Volume of Solids Volume of prism (triangular based prism)
By the end of the lesson, the learner should be able to:
Find the surface area of a sphere given the radius of a sphere
Finding the surface area of a sphere
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere
Models of a triangular based prism
KLB BK 2 Pg 183
5 1
Trigonometry 
Volume of prism (hexagonal based prism) given the sides and angle
Volume of a pyramid (square based and rectangular based)
Volume of a cone
By the end of the lesson, the learner should be able to:
Find the volume of a hexagonal based prism
Calculating the volume of an hexagonal prism
Models of hexagonal based prism
Models of square and Rectangular based Pyramids
Model of a cone
KLB BK 2 Pg 187
5 2
Trigonometry 
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid
By the end of the lesson, the learner should be able to:
Find the volume of a frustrum of a cone
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
Models of a frustrum of a cone
Models of frustrum of a pyramid
KLB BK 2 Pg 192
5 3
Trigonometry 
Volume of a sphere (v = 4/3?r3)
Volume of a Hemisphere {(v = ? (4/3?r3)}
Application of area of triangles to real life
By the end of the lesson, the learner should be able to:
Find the volume of sphere given the radius of the sphere
Finding the volume of a Sphere
Model of a sphere Mathematical table
Models of hemisphere
Mathematical table Chart illustrating formula used
KLB BK 2 Pg 195 
5 4
Trigonometric Ratios
Tangent of an angle
Using tangents in calculations
By the end of the lesson, the learner should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
5 5
Trigonometric Ratios
Application of tangents
The sine of an angle
The cosine of an angle
By the end of the lesson, the learner should be able to:

work out further problems using tangents
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
5 6
Trigonometric Ratios
Application of sine and cosine
Complementary angles
By the end of the lesson, the learner should be able to:

apply sines to work out lengths and angles. Apply cosine to work out length and angles
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 1
Trigonometric Ratios
Special angles
Application of Special angles
Logarithms of sines, cosines and tangents
By the end of the lesson, the learner should be able to:

find the sine, cos, and tan of 300,600,450,00,900, without using tables
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 2
Trigonometric Ratios
Relationship between sin, cos and tan
Application to real life situation
Problem solving
By the end of the lesson, the learner should be able to:

relate sin, cos and tan that is tan?=sin?
cos?
Solve problems using the relationship
Measuring lengths/angles
Dividing numbers
Drawing right angles
Reading mathematical tables
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 119-122
6 3
Area of A Triangle
Area =
Solve problems involving =
By the end of the lesson, the learner should be able to:

derive the formula Area =
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Protractor
Ruler
Right corners
Mathematical tables
KLB Maths Bk2 Pg. 155-157
6 4
Area of A Triangle
Area of Quadrilaterals
A =?s(s-a) (s-b) (s-c)
Problem solving
Area of parallelogram
By the end of the lesson, the learner should be able to:

find the area of a triangle given the three sides
Discussions
Drawing triangles
Measuring lengths/angles
Calculating area
Protractor
Ruler
Right corners
Mathematical tables
Parallelograms
Trapeziums
Polygons
Squares/rectangles
KLB Maths Bk2 Pg. 155-157
6 5
Area of Quadrilaterals
Area of Rhombus
Area of trapezium and kite
Area of regular polygons
By the end of the lesson, the learner should be able to:

find the area of a regular polygon.
Drawing trapeziums/polygons
Measuring lengths/angles
Reading mathematical tables
Discussions
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
Mathematical tables Chalkboard illustrations
KLB Maths Bk2 Pg. 161
6 6
Area of Quadrilaterals
Area of Part of a Circle
Area of Part of a Circle
Problem solving
Area of a sector
Area of a segment
By the end of the lesson, the learner should be able to:

solve problems on area of quadrilaterals and other polygons
Learners solve problems
Parallelograms
Trapeziums
Polygons
Squares/rectangles
Mathematical tables
Circles
Chart illustrating the area of a sector
Chart illustrating the area of a minor segment
KLB Maths Bk2 Pg. 165-166
7

Midterm exams, and break

8 1
Area of Part of a Circle
Common region between two circles
Common region between two circles
By the end of the lesson, the learner should be able to:
find the area of the common region between two circles.
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Circles
Chart illustrating the area of a minor segment
KLB Maths Bk2 Pg. 167-169
8 2
Area of Part of a Circle
Surface Area of Solids
Surface Area of Solids
Problem solving
Surface area of prisms
Surface area of pyramid
By the end of the lesson, the learner should be able to:

solve problems involving the area of part of a circle
Drawing circles
Measuring radii/diameters
Measuring angles
Calculating the area of a circle
Discussions
Circles
Chart illustrating the area of a minor segment Chalkboard illustrations
Prism Chalkboard illustrations
Pyramids with square base, rectangular base, triangular base
KLB Maths Bk2 Pg. 167-169
8 3
Surface Area of Solids
Surface area of a cone
Surface area of frustrum with circular base
Surface area of frustrum with square base
By the end of the lesson, the learner should be able to:

find the surface area of a cone
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Cone
Chart illustrating the surface area of a frustrum
Chart illustrating frustrum with a square base
KLB Maths Bk2 Pg. 180
KLBMathematics Bk2
Discovering Secondary Mathematics Bk2
8 4
Surface Area of Solids
Surface area of frustrum with rectangular base
Surface area of spheres
Problem solving
By the end of the lesson, the learner should be able to:

find the surface area of frustrum with rectangular base
Drawing cones/frustums
Making cones/frustums
Measuring lengths/
angles
Discussions
Chart illustrating frustrum with a rectangular base
Chalkboard illustrations
Past paper questions
KLB Maths Bk2 Pg. 181-183
8 5
Volume of Solids
Volume of prism
Volume of pyramid
By the end of the lesson, the learner should be able to:

find the volume of a prism
Identifying prisms
Identifying the cross-sectional area
Drawing/sketching prisms
Prism
Pyramid
KLB Maths Bk2 Pg. 186-188
8 6
Volume of Solids
Volume of a cone
Volume of a sphere
Volume of frustrum
By the end of the lesson, the learner should be able to:

find the volume of a cone
Making cones/frustums
Opening cones/frustums
to form nets
Cone
Sphere
Frustrum with circular base
KLB Maths Bk2 Pg. 191
9 1
Volume of Solids
Volume of frustrum with a square base
Volume of frustrum with a rectangular base
Application to real life situation
By the end of the lesson, the learner should be able to:

find the volume of a frustrum with a square base
Making cones/frustums
Opening cones/frustums
to form nets
Frustrum with square base
Frustrum with rectangular base
Models of pyramids, prism, cones and spheres
KLB Maths Bk2 Pg. 192-193
9 2
Volume of Solids
Quadratic Expressions and Equations
Problem solving
Expansion of Algebraic Expressions
By the end of the lesson, the learner should be able to:

solve problems on volume of solids
Making cones/frustums
Opening cones/frustums
to form nets
Past paper questions
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 196
9 3
Quadratic Expressions and Equations
Quadratic identities
Application of identities
Factorise the Identities
By the end of the lesson, the learner should be able to:

derive the three Algebraic identities
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 204-205
9 4
Quadratic Expressions and Equations
Factorise other quadratic expressions
Factorisation of expressions of the form k2-9y2
Simplification of an expression by factorisation
By the end of the lesson, the learner should be able to:
factorise quadratic expressions
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Chart illustrating factorization of a quadratic expression
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 119-122
9 5
Quadratic Expressions and Equations
Solving quadratic equations
The formation of quadratic equations
Formation and solving of quadratic equations from word problems
By the end of the lesson, the learner should be able to:
solve quadratic equations
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208
9 6
Quadratic Expressions and Equations
Solving on quadratic equations
Forming quadratic equations from the roots
By the end of the lesson, the learner should be able to:
solve problems on quadratic equations
Discussions
Multiplying numbers
Dividing numbers
Adding numbers
Subtracting numbers
Exercises
Real-life experiences
Worked out
expressions
KLB Maths Bk2 Pg. 208-210
10 1
Linear Inequalities
Inequalities symbols
Number line
Inequalities in one unknown
By the end of the lesson, the learner should be able to:
identify and use inequality symbols
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive numbers
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
10 2
Linear Inequalities
Graphical representation
Graphical solutions of simultaneous linear inequalities
Graphical solutions of simultaneous linear inequalities
By the end of the lesson, the learner should be able to:
represent linear inequalities in one unknown graphically
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines Graph papers
Square boards
Negative and positive
numbers
Number lines
Graph papers
KLB Maths Bk2 Pg. 213-224
10 3
Linear Inequalities
Area of the wanted region
Inequalities from inequality graphs
By the end of the lesson, the learner should be able to:
calculate the area of the wanted region
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
KLB Maths Bk2 Pg. 213-224
10 4
Linear Inequalities
Linear Motion
Linear Motion
Problem solving.
Displacement, velocity, speed and acceleration
Distinguishing terms
By the end of the lesson, the learner should be able to:
solve problems on linear inequalities
Drawing graphs of
inequalities
Determining the scale of a graph
Shading unwanted regions
Discussions
Number lines
Graph papers
Square boards
Negative and positive
numbers
Stones
Pieces of paper
KLB Maths Bk2 Pg. 213-224
10 5
Linear Motion
Distinguishing velocity and acceleration
Distance time graphs
Interpret the velocity time graph
By the end of the lesson, the learner should be able to:
determine velocity and acceleration
Learners determine velocity and acceleration
Plotting graphs
Drawing graphs
Graph papers
Stones
Pieces of paper
Drawn graphs
KLB Maths Bk2 Pg. 228-238
10 6
Linear Motion
Interpreting graphs
Relative speed (objects moving in the same direction)
Problem solving
By the end of the lesson, the learner should be able to:
interpret graphs of linear motion
Learners interpret graphs
Drawn graphs
Real life situation
Chalkboard illustrations
Past paper questions
KLB
Maths Bk2
Pg.334
11 1
Statistics
Definition
Collection and organization of data
By the end of the lesson, the learner should be able to:

define statistics
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
11 2
Statistics
Frequency tables
Grouped data
Mean of ungrouped data
By the end of the lesson, the learner should be able to:

draw a frequency distribution table
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
11 3
Statistics
Median of ungrouped data
Mean of ungrouped data
Median of a grouped data modal class
By the end of the lesson, the learner should be able to:
calculate the median of ungrouped data and state the mode
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
11 4
Statistics
Data Representation. Line graphs
Bar graphs
By the end of the lesson, the learner should be able to:
represent data in form of a line graph
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
KLB Maths Bk2 Pg. 241-252
11 5
Statistics
Pictogram
Histograms
Frequency polygons
By the end of the lesson, the learner should be able to:
represent data in form of pictures
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Pictures which are whole, half, quarter
Weighing balance
Ruler
Tape measure
Pieces of stick
Arm length
Foot length
Graph papers
Histograms drawn. Data
KLB Maths Bk2 Pg. 241-252
11 6
Statistics
Histograms with uneven distribution
Interpretation of data
Problem solving
By the end of the lesson, the learner should be able to:

draw histograms with uneven distribution
Collecting data
Measuring length/mass/age
Drawing graphs
Drawing tables
Using symbols to represent data
Discussion
Data with uneven classes
Real life situations
Past paper questions
KLB Maths Bk2 Pg. 241-252
12 1
Angle Properties of a Circle
Arc chord segment
Angles subtended by the same arc in the same segment
Angle at the centre and at the circumference
By the end of the lesson, the learner should be able to:
identify an arc, chord and segment
Discussions
Drawing circles
Measuring radii/
diameters/angles
Identifying the parts of a
circle
Chart illustrating arc chord and segment
Chart illustrating Angles subtended by the same arc in same segment are equal
Chart illustrating Angles subtended at the centre by an arc and one subtended at the circumference
KLB Maths Bk2 Pg. 264-278
12 2
Angle Properties of a Circle
Angles subtended by the diameter at the circumference
Cyclic quadrilateral
By the end of the lesson, the learner should be able to:

state the angle in the semi-circle
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
KLB Maths Bk2 Pg. 264-278
12 3
Angle Properties of a Circle
Cyclic quadrilateral
Exterior angle property
Problem solving
By the end of the lesson, the learner should be able to:

find and compute angles of a cyclic quadrilateral
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts
different parts Past paper questions
KLB Maths Bk2 Pg. 264-278
12 4
Angle Properties of a Circle
Vectors
Vectors
Problem solving
Definition and Representation of vectors
Equivalent vectors
By the end of the lesson, the learner should be able to:
state all the properties and use them selectively to solve missing angles.
Discussions
Drawing circles
Measuring radii/diameters/angles
Identifying the parts of a circle
Circles showing the
different parts Past paper questions
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 264-278
12 5
Vectors
Addition of vectors
Multiplication of vectors
By the end of the lesson, the learner should be able to:
add vectors
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg. 286-289
12 6
Vectors
Position vectors
Column vector
Magnitude of a vector
Mid - point
Translation vector
By the end of the lesson, the learner should be able to:

define a position vector
illustrate position vectors on a Cartesian plane
Writing position vectors
Adding/subtracting
numbers
Squaring and getting the
square root of numbers
1x2 matrices
Graph papers
Square boards
Ruler
KLB Maths Bk2 Pg.298
13-14

Endterm exams, marking and clossure


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