# Mat LP-1 APR- MAY

```Methodist High School
Monthly Planner 2023-2024
Mathematics IGCSE (Class 9-i)
April (2 topics covered)
Educator: Ashley Ernest Wright
Topic: 1. Reviewing number concepts
Date: 3rd to 10th
Learning objectives:
 Different types of numbers.
 Natural numbers, Odd numbers, Even numbers, Integer,
Prime numbers, Square numbers and Fractions
 solve problems involving the above mentioned different types of numbers
 Calculation of HCF and LCM
Success Criteria:
Learners will be able to
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Answer questions based on different types of numbers.
Calculate HCF using Prime Factorisation method.
Calculate LCM using Prime Factorisation method
Solve Problems based on Integers and Square numbers.
Skills and Attributes:
Critical thinking and Numeracy Skills
Procedure and Guided learning Activities:
Educator recapitulates the different types of number
Number
Definition
Example
Natural number
Any whole number from 1,2,3,4,5,6…….
1 to infinity, sometimes
called counting numbers
‘0’ is not included
Odd number
A whole number that
cannot be divided
1,3,5,7…
exactly by 2
Even number
A whole number that
can be divided exactly
by 2
2,4,6,8…..
Integer
Any of the negative and
positive whole numbers
including zero.
…..-3,-2,-1,0,1,2,3….
Prime number
A whole number greater 2,3,5,7,11..
than 1 which has only
two factors the number
and 1 itself
Square number
The product obtained
when an integer is
multiplied by itself.
Fraction
A number representing &frac12;,1/3,11/3,
parts of a whole number 0.5,0.2,0.08……..
can be written as a
common fraction in the
form of a/b or a s a
decimal using the
decimal point.
1,4,9,16….
Checkpoint 1: (in-class)
Ex 1.1,1.2 and 1.3
Checkpoint 2: ( post-class)
Ex 1.4,1.5, 13.5 and 1.7, 1.8, 1.9,1.10
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
Topic: 1.Reviewing number concepts
Date: 11th to 14th April
Learning objectives:
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Powers and roots on numbers
Solve problems related to powers and roots on numbers.
Working with directed numbers
Priority on operations
Using BODMAS.
Success Criteria:
Learners will be able to
 Define the concepts of power and roots.
 Solve the problems related to roots and power on numbers
 Multiple operation problems using BODMAS

Skills and Attributes:
Quantitative reasoning and data analysis
Procedure and Guided learning Activities:
Educator will explain to the learners
B- Bracket
o- Of
D- Divide
M-Multiply
S- Subtract
Checkpoint 1: (in-class)
Ex 1.11,1.12,1.13
Checkpoint 2: ( post-class)
Ex 1.14, 1.15, 1.16, 1.17
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
Topic: 2.Making Sense of Algebra
April
Date: 17th to 29th
Learning objectives:
Learners can know how to
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How to use letters to represent unknown values - Variables
Write algebraic expression.
The concept of fixed value numbers called CONSTANTS
Solving algebraic expression using SUBSITITUTION METHOD
Solving algebraic expression having brackets
Concept of exponents and indices
Solving problems related to indices
.
Success Criteria:
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Learners will be able to
Write algebraic expression.
The concept of fixed value numbers called CONSTANTS
Solving algebraic expression using SUBSITITUTION METHOD
Solving algebraic expression having brackets
Concept of exponents and indices
Solving problems related to indices.
Skills and Attributes:
Critical thinking and deductive reasoning
Procedure and Guided learning Activities:
Educator will explain to the learners to graphically solve two or more
linear equations. They will understand that the point of intersection of the lines
will be the solution. This will be further explained with the help of the following
example.
The learners will further be introduced to the situation where there is range of
solutions. The range will be marked on a number line.
Next the learners will be introduced to linear programming for two or more
inequalities. For this the following example will be discussed in the class.
Completing the square form will be explained with the prior knowledge of
algebraic identities.
Later the learners will be introduced to the use of Quadratic formula and its
use with the help of examples.
Checkpoint 1: (in-cl;ass)
Ex 2.1, 2.2, 2.3, 2.4 and 2.5
Checkpoint 2: ( post-cl;ass)
Ex 2.6, 2.7, 2.8, 2.9 and 2.10
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
May 2023 (1topic covered and UT1)
Educator: Ashley Ernest Wright
Topic: 1. LINES ANGLES AND SHAPES (Ch-03)
Date: 1st to 12th May
Learning objectives:
 The different terms used in relation to lines- Points, line, Parallel
 Different types of angle- Acute, Obtuse, Right, Straight, Reflex and
Revolution.
 Alternate angles, corresponding angles, supplementary angles,
complementary angles
 Different types of Triangles- Scalene, Equilateral, Isoceles etc
 Properties of different types of angles.
Rectangle, Square, Rhombus, Trapezium and Kite
 The properties of different types of quadrilaterals.
Success Criteria:
Learners will be able to
 The different terms used in relation to lines- Points, line, Parallel
 Different types of angle- Acute, Obtuse, Right, Straight, Reflex and
Revolution.
 Alternate angles, corresponding angles, supplementary angles,
complementary angles
 Different types of Triangles- Scalene, Equilateral, Isoceles etc
 Properties of different types of angles.
Rectangle, Square, Rhombus, Trapezium and Kite
 The properties of different types of quadrilaterals.
Skills and Attributes:
Constructing logical arguments and analytical thinking
Procedure and Guided learning Activities:
Learners will be explained with the help of a table about the above
mentioned points
Term
What it
means
Point
A point is
shown on
the paper
using a dot
or a cross.
Most often
you will use
the word
‘point’ to
where two
lines meet.
You wil also
points on a
grid and
name these
using
ordered
pairs of coordinates.
Points are
normally
named
using capital
letters
Line
A line is a
straight one
dimensioon
al figure
Examples
 A(2.3)
that extends
to infinity in
both
directions
Parallel
A pair of
lines that
are the
same
distance
apart all
along their
length are
parallel. The
symbol is II
and is used
for parallel
llines
Angle
When two
lines meet
at a point
they form
an angle.
The meeting
point is
called vertex
of the angle
and the two
lines are
called the
arms of the
angle.
Perpendicul
ar
When tow
liens meet
at a right
angle theya
re
perpendicul
ar to each
other.
Acute angle
When the
angle is
greater than
0 degree but
less than 90
degree
Right angle
Angle
exactly 90
degree
Obtuse
angle
Angle
greaten
than 90
degree but
less than
180 degree
Straight
angle
An angle
measuring
exactly 180
degree
Reflex angle
Angle
greater than
180 degree
but less
than 360
degree
Revolution
An angle
exactly 360
degree
Types of
Parallelogram
Rectangle
Square
Rhombus
Trapezium
Kite
Examples
Summary of
properties
Opposite sides
parallel and equal.
Opposite angle
are equal.
Diagonal bisects
each other.
Opposite sides
parallel and equal.
All angles= 90deg
Diagonals are
equal.
Diagonals bisect
each other.
All sides equal.
All angles= 90 deg
Diagonals equal.
Diagonals bisect
each other at 90
deg
Diagonals bisect
angles.
All sides are equal
Opposite sides
parallel.
Opposite angles
equal.
Diagonals bisect
each other at 90
deg.
Diagonals bisect
angles.
One pair of sides
parallel
Two pairs of
equal.
One pair of
opposite angles is
equal.
Diagonals
intersect at 90 deg
Diagonals bisect
angles.
Checkpoint 1: (in-class)
Ex3.1, 3.3, 3.5, 3.7, 3.9
Checkpoint 2: ( post-class)
Ex 3.2, 3.4, 3.6, 3.8, 3.10 and practice questions
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
Unit Test 1 commences from 19th May 2023 and ends on 25th May 2023
July 2023(3 topics covered)
Educator: Abhilasha Shrivastava
Topic: 1.Curved Graphs (Ch 18)
Date: 10th to 20th July
Learning objectives:
Learners can know how to
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construct a table of values to draw graphs called parabolas
sketch and interpret parabolas
construct a table of values to draw graphs called hyperbolas
use graphs to find the approximate solutions to quadratic
equations
 construct tables of values to draw graphs in the form of 𝑎𝑥𝑛 𝑎𝑛𝑑
 recognise, sketch and interpret graphs of functions
 estimate the gradients of curves by drawing tangents
 differentiate functions to find gradients and turning points.
𝑎
𝑥
Success Criteria:
Learners will be able to
 construct a table of values for quadratic and plot the graph of a
parabola
 find turning points by completing the square
 plot the graph of a hyperbola from a table of values
 construct tables of values and draw graphs for cubic equations and
simple sums of linear and non-linear terms
 construct a table of values and draw the graph of an exponential
equation
 sketch graphs of cubic, reciprocal and exponential functions using
their characteristics
 estimate the gradient of the curve by drawing a tangent to the
curve
 differential functions of the form 𝑎𝑥𝑛
 find the turning points using differentiation and work out whether
they are maximum or minimum points.
Skills and Attributes:
Critical thinking and problem solving
Procedure and Guided learning Activities:
The learners will be explained the different types of graphs with the
help of the equations and the table of their values. Teacher will introduce
gradually to the learners the difference between the equations and the curve
the represent. The table will summarise concept.
Learners will be introduced to differentiation as derived function.
Checkpoint 1: (in-cl;ass)
Ex 18.1,18.2,18.6,18.8,18.9
Checkpoint 2: ( post-cl;ass)
Ex 18.3, 18.4, 18.5, 18.7 and 18.10
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
Topic: 2.Scatter diagrams and correlations (Ch 16)
Date: 21st to 25th July
Learning objectives:
Learners can know how to
 draw a scatter diagram for bivariate data
 identify whether or not there is a positive or negative correlation
between the two variables
 decide whether or not a correlation is strong or weak
 draw a line of best fit
 use a line of best fit to make predictions and decide how reliable
the predictions are
 recognise the common errors that are often made with scatter
diagrams.
Success Criteria:
Learners will be able to
 draw a scatter diagram
 describe the relationship between the variables shown
 use a scatter diagram to make predictions.
Skills and Attributes:
Analytical thinking and constructing logical arguments
Procedure and Guided learning Activities:
Teacher will help learners to understand the dependent and
independent variable in a given data. They will plot the points and draw and
understand the different types if scatter diagrams.
Teacher will further solve a question and explain the details if the scatter
diagram.
Checkpoint 1: (in-cl;ass)
Ex 16.1
Checkpoint 2: ( post-cl;ass)
Examination Practice questions
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
Topic: 3.Histograms and frequency distribution diagrams (Ch 20)
Date: 26th to 31st July
Learning objectives:
Learners can know how to
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construct and use histograms with equal intervals
construct and use histograms with unequal intervals
draw cumulative frequency tables
use tables to construct cumulative frequency diagrams
identify the modal class from a grouped frequency distribution.
Success Criteria:
Learners will be able to
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construct histograms with equal intervals
interpret and construct histograms with unequal intervals
construct a table to find the frequency density of different classes
use cumulative frequency curve to estimate the median
find quartiles and calculate the interquartile range
estimate and interpret percentiles.
Skills and Attributes:
Analytical thinking and constructing logical arguments
Procedure and Guided learning Activities:
Teacher will revise the calculation of Mean and proceed with another
central tendency i.e. mode. Construction of Histograms with equal intervals
and frequency density will be done in the class with the help of examples.
Next central tendency, median will be introduced to the learners. They will be
taught to calculate cumulative frequency and also draw the cumulative
frequency curve.
The learners will also be explained to estimate median , lower quartile,
upper quartile and inter-quartile range from the cumulative frequency
curve.
Checkpoint 1: (in-cl;ass)
Ex 20.3, 20.4
Checkpoint 2: ( post-cl;ass)
Ex 20.1 and 20.2
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher.
August 2023(3 topics covered)
Educator: Abhilasha Shrivastava
Topic: 1.Ratio, rate and proportion(Ch 19)
Date: 1st to 11thAugust
Learning objectives:
Learners can know how to
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record relationships using ratio notation
make sense on scales, maps, models and plans
solve problems using distance-time and speed-time graphs
solve problems involving proportionate amounts
using algebra to express direct and inverse proportion
increase and decrease amounts by a given ratio.
Success Criteria:
Learners will be able to
 express relationships between different quantities as rates in their
simplest form and solve problems relating to rates
 read and interpret kinematics graphs
- by calculating average speed
- by calculating acceleration and deceleration from the graph
- finding distance travelled using area under the linear speed-time
graph
 solve problems involving direct and indirect proportion
 increase and decrease amounts by a given ratio
Skills and Attributes:
Critical thinking and problem solving
Procedure and Guided learning Activities:
Teacher will revise ratio proportion with the learners. Will use the
fractional representation of ratios in maps, plots, enlargement problems. The
following example will be taken up for the explanation.
Speed-time graph will be discussed in details in the class
Topic: 2.Symmetry(Ch 21)
Date: 12th to 18th August
Learning objectives:
Learners can know how to
Topic: 3.Vectors and transformations(Ch 23)
Date: 19th to 31st August
Learning objectives:
Learners can know how to
September 2023
Educator: Abhilasha Shrivastava
Date: 8th to 19th
Date: 22nd to 28th
Half -yearly Examination
Showing of the answer scripts, discussion of the solutions.
October 2023 (2 topics covered)
Educator: Abhilasha Shrivastava
Topic: 1 More equations, formulae and functions (Ch 22)
Date: 3rd to 13th October
Learning objectives:
Learners can know how to
 construct and transform more complex formulae
 use function notation to describe simple functions and their inverse
 form composite functions.
Success Criteria:
Learners will be able to
 set up and rearrange more complicated formulae such as those
containing squares or square roots
 form composite functions such as gf(x) or ff(x)
 find the inverse of functions using flow diagram
 find inverse of the function by reversing the mapping.
Skills and Attributes:
Critical thinking and problem-solving skills
Procedure and Guided learning Activities:
Teacher will explain solving more complex equations with the help of examples
Functions will be explained with solving questions in the class.
Later on the teacher will explain inverse and composite functions to the
learners.
Checkpoint 1: (in-cl;ass)
Ex 22.2, 22.4,22.5and 22.8
Checkpoint 2: ( post-cl;ass)
Ex 22.1, 22.3,22.6 and 22.7and Examination practice questions.
Notes:
References: Mathematics Textbook and Notes and Solutions of the
Questions provided by the teacher
Topic: 2.Probability using tree diagrams and Venn diagrams(Ch 24)
Date: 16th to 31st October
Learning objectives:
Learners can know how to
 use tree diagrams and Venn diagrams to show all possible
outcomes of combined events
 calculate the probability of simple combined events using tree
diagrams.
Success Criteria:
Learners will be able to
 draw a tree diagram to organise the outcomes for simple combined
events
 find the probability of each branch of a tree diagram
 draw a Venn diagram to represent sets of information and use it to
calculate probabilities
 use tree diagrams and Venn diagrams to determine conditional
probability.
Skills and Attributes:
Critical thinking and problem-solving skills
Procedure and Guided learning Activities:
Teacher will explain the learners to represent the occurrence of events
using tree diagram with the help of examples.
The Venn diagram representation will be explained in details with examples
clearly making the learners understand union and intersection of sets.
Teacher will also explain the conditional probability with examples to the
learners.
Checkpoint 1: (in-cl;ass)
Ex 24.3, 24.4
Checkpoint 2: ( post-cl;ass)
Ex 24.1 and 242 and Examination practice questions.
Notes: