Woodgrove Secondary School 2021 Scheme of Work For … · 2021. 1. 18. · p.2–10 Textbook 4A...

Woodgrove Secondary School Mathematics Department 2021 Scheme of Work For Mathematics – Secondary Four Express

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Scheme of Work (SOW) Overview

Semester 1

Term Week Topic Remarks / SLS resources Blended Learning

1 T1W1 – T1W2 Chapter 1

Set Language and Notation

Flipped Learning

SLS Lesson Title: Set Language – (1) Set Notations (30-45mins)

T1W3 – T1W5 Chapter 2

Data Analysis – Measures of

Spread

Flipped Learning

SLS Lesson Title: Range, Quartiles, Interquartile Range and Percentiles

Activities (1) and (2) : (30 min)

Flipped Learning / Station Rotation / Individual Rotation

SLS Lesson Title: Box-and-Whisker Plots

Activities (1) – 30 mins


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Semester 1



Probability

Individual Rotation

SLS Lesson Title: Probability of Simple Combined Events (Possibility Diagram)

Activities (1), (2) – 30 mins


Matrices

Flipped / Individual Rotation

SLS Lesson Title: Matrices (Operation and multiplication)


March Holiday Holiday Assignment – Flipped

Learning on Properties of Circle

2 T2W1 – T2W2 *Sec 3 - Chapter 10 Properties Of

Circles

SLS Resource Angle Properties of Circle

Flipped Learning

SLS Lesson - Angle Properties of Circles

2 T2W3 – T2W5 Chapter 5

Vectors in Two-Dimensions

Blended Learning



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Semester 1


SLS Lesson Title: Scalar Multiples of a Vector (Geogebra)


Blended Learning


SLS Lesson Title:

Geometric Problems Involving the Use of Vectors (Review and solve geometry problem) (Geogebra)


T2W5 – T2W6 Revision for O Level Mid-Year

Exam

T2W7 O Level Mid-Year Exam

T2W8 Review of Mid-Year Exam scripts

T2W9 - 10 No Math lessons – Mother Tongue

Intensive

June Holiday Practice Papers from Exam Book

3 T3W1 – T3W9 TB 4B Topical revision exercises

and practice papers from Exam

Book

T3W10 O Level Prelim Exam Part 1

September

Holiday

Holiday Assignment – Revision


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Semester 1


4 T4W1 O Level Prelim Exam Part 2

T4W2 Review of Prelim Exam scripts

T4W 3 – T4W4 Practice papers from Exam Boo

T4W6 onwards O Level Written Examination

4048 Syllabus Document from SEAB 2020 : 4048_y20_sy.pdf

* Learning Experiences (LE) take reference from the above 4048 syllabus document.

* All SLS lesson packages can be found on SLS MOE Community Library


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Term / Week Content and Skills

What do we want students to learn?

Pedagogy

What are the key pedagogical approaches and practices to

achieve the desired outcomes?

Assessment

How can we assess learning?

What kind of learning data can

be collected?

Resources

What resources will support the

design of activities?

Learning outcomes

#Instructional Strategies/ Learning Experiences Evidence of learning SLS/ ICT/

Blended Learning

Textbook

resources

Term 1

Week 1 Chapter 1 Set Language and Notation

1.1 Set Language

use set language and set notation to describe a set

of objects, its elements and its proper subsets

Directing students to appreciate the set notation, the way of

describing a set by listing its elements and using set-builder

notation

Introducing the concepts of equal sets, subsets, universal set and

empty set

LE N8(a): To use set language and notation to specify and

describe sets of numbers, shapes and objects. To determine

whether or not an object belongs to a set, and to classify objects in

distinct sets

AfL

Check in Qs / Exit Ticket

SLS Lesson Title : Set Language

and Notations – (3) Check your

understanding on Venn Diagrams

and Set Notations

p.2–10 Textbook 4A

E-book

Teacher’s Guide

p.9 Ex 1.1 (Qn 1),

Blended Learning

Flipped Learning

SLS Lesson Title: Set Language – (1)

Set Notations (30-45mins)

Term 1

Weeks 1–2 1.2 Venn Diagrams and Complement of a Set

draw Venn diagrams to represent sets

define the complement of a set

Illustrating the use of Venn diagrams

Introducing the concepts of complement of a set

LE N8(b): To use Venn diagrams to represent relationships

between two sets, and between a set and its elements

AfL

Check in Qs / Exit Ticket

SLS Lesson Title : Set Language

and Notations – (3) Check your

understanding on Venn Diagrams

and Set Notations

(similar to 1.1 AfL)


E-book

Teacher’s Guide

Blended Learning

Flipped Learning / Station Rotation

SLS Lesson Title : Set Language – (2)

Venn Diagrams (30 – 45 mins)

Term 1

Week 2

1.3 Union and Intersection of Sets

define the union and intersection of sets

illustrate them using Venn diagrams

Defining union and intersection of two sets

Using Venn diagram to show the set operations

AfL

Exit Ticket

Shading of Venn diagram

2 questions - TB pg 19 and 20, Try

it 17 and 18. (10 min)


E-book

Teacher’s Guide

Revision Ex 1

p.26–27


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 1

Week 3

Chapter 2 Data Analysis – Measures of Spread

2.1 Cumulative Frequency Diagrams

understand the term cumulative frequency

recognise the features of cumulative

frequency curves

interpret and analyse cumulative frequency

curves

LE S1(b): To recognise the idea of cumulative frequency

Developing students’ skill in interpreting and analysing

cumulative frequency curves


E-book

Teacher’s Guide

Use of MS Excel:

TB Pg 182-183

Statistics on Singapore Population

from

www.singstat.gov.sg/statistics#visuali

sing-data

Term 1

Week 3

2.2 Range, Quartiles, Interquartile Range and

Percentiles

understand the terms range, quartiles,

interquartile range and percentiles

Explaining the concept of spread of data and its measurements

Introducing the terms range, quartiles, interquartile range and

percentile

AfL

Exit Ticket

Exercise 2.2 Q2 (5 min)


E-book

Teacher’s Guide

Blended Learning

Flipped Learning

SLS Lesson Title: Range, Quartiles,

Interquartile Range and Percentiles

Activities (1) and (2) : (30 min)

http://www.singstat.gov.sg/statistics#visualising-data

http://www.singstat.gov.sg/statistics#visualising-data


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 1

Week 3

2.3 Box-and-Whisker Plots

recognise the features of a box-and-whisker

plot

interpret and analyse box-and-whisker plots

Explaining the features of a box-and-whisker plot

Developing students’ skill in interpreting and analysing box-and-

whisker plots

LE S1(b): To discuss examples of inappropriate representation of

data from newspapers and other sources

AfL – Exit Ticket

SLS Lesson Title: Box-and-

Whisker Plots

Activities (2) – 3 MCQs (15 mins)


E-book

Teacher’s Guide

Blended Learning

Flipped Learning

SLS Lesson Title: Box-and-Whisker

Plots


Term 1

Week 4

2.4 Standard Deviation for Ungrouped Data

understand standard deviation as a measure of

variation

state the definition of standard deviation for

ungrouped data

Discussing the drawbacks of range and interquartile range as

measures of spread and introducing the definition of standard

deviation

Stating the formula for the calculation of standard deviation

Demonstrating the calculation of standard deviation for ungrouped

data

AfL

Exit Ticket

TB pg 67 Try it! 17 (10 min)


E-book

Teacher’s Guide


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

calculate standard deviation for ungrouped

data

Comparison of Two Data Sets - use the mean

and the standard deviation to compare two

data sets

Employing standard deviation to discuss and compare the spread

or variability of two data sets

LE S1(a): To compare the means and the standard deviations of

two data sets and to find the mean and the standard deviation of a

combined data set

Term 1

Week 5

2.5 Standard Deviation for Grouped Data

state the definition of standard deviation

for grouped data

calculate standard deviation for grouped

data

Comparison of Two Data Sets - use the

mean and the standard deviation to

compare two data sets

Extending the definition and formula of standard deviation to

grouped data

Demonstrating the calculation of standard deviation for grouped

data

Describing the method of calculating mean and standard deviation

using a calculator

Employing standard deviation to discuss and compare the spread

or variability of two data sets

AfL

Exit Ticket

TB pg 79 Example 23 (10 min)


E-book

Teacher’s Guide

Revision Ex 2

p.89–93

Go Further

p.93

Term 1

Week 6

Chapter 3 Probability

3.1 Probabilities of Simple Combined Events

calculate the probability of a simple

combined event using a possibility

diagram or a tree diagram

Extending the concept of probability of a single event to that of

simple combined events

Introducing possibility diagrams and tree diagrams

Illustrating the concept using a variety of daily life problems

AfL

Exit Ticket (Tree Diagram)

TB pg 102, Try it! 4


E-book

Teacher’s Guide

Blended Learning

Individual Rotation

SLS Lesson Title: Probability of

Simple Combined Events (Possibility

Diagram)



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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 1

Week 7

3.2 Addition of Probabilities

identify mutually exclusive events

understand and apply the addition of

probabilities for two mutually exclusive

events

apply the above concepts of probability to

solve daily life problems

Conveying the definitions of mutually exclusive events

Exploring the rules of calculating these events

Reinforcing the concept by solving application problems

Discussing the situations like drawing balls from a bag without

replacement

LE S2(a): To discuss and differentiate between mutually exclusive

events and non-mutually exclusive events

LE S2(a): To investigate the relationship between P(A), P(B), P(A

and B), P(A or B) for two mutually exclusive events, A and B.

AfL

Investigating Q: When two

probabilities are multiplied

together, is the resultant probability

higher or smaller? Why?


E-book

Teacher’s Guide

CCE: Negative impacts on gambling

http://app.knowtheline.sg/about-

ncpg/media.aspx

to start off discussion on negative

impact of gambling

Official website of National Council

on Problem Gambling (NCPG).

http://www.knowtheline.sg/index.html

Term 1

Week 8

3.3 Multiplication of Probabilities

identify independent events

understand and apply the multiplication of

probabilities for independent events

apply the above concepts of probability to

solve daily life problems

Conveying the definitions of independent events

Exploring the multiplication of probabilities for non-independent

events

Demonstrating the applications of concepts of probability

LE S2(a): To discuss and differentiate between independent events

and dependent events

LE S2(a): To investigate the relationship between P(A), P(B) and

P(A and B) for independent events, A and B.

AfL

Exit Ticket – Multiplication of

probabilities

CCE – continuation of CCE lesson

on negative impact of addictive

gambling, calculate the probability

of striking a lottery e.g. P(1234 as

first prize). What is the sample

size? What is the probability of

another number 8888? Is the

probability of 8888 higher? Why is

it a popular choice? Are the

probabilities the same?

Useful Websites:

http://www.onlinemathlearning.com/p

robability-without-replacement.html

http://www.shodor.org/interactivate/le

ssons/ReplacementProb/

http://app.knowtheline.sg/about-ncpg/media.aspx

http://app.knowtheline.sg/about-ncpg/media.aspx

http://www.knowtheline.sg/index.html

http://www.onlinemathlearning.com/probability-without-replacement.html

http://www.onlinemathlearning.com/probability-without-replacement.html

http://www.shodor.org/interactivate/lessons/ReplacementProb/

http://www.shodor.org/interactivate/lessons/ReplacementProb/


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 1

Week 9

Chapter 4 Matrices

4.1 – 4.2 Definition of a Matrix, Addition and

Subtraction of Matrices

display information in the form of a

matrix

identify the order of a matrix

interpret the data in a given matrix

perform addition and subtraction of

matrices

Introducing a matrix as a way of presenting a table in algebraic

form

Describing the terminology in matrix algebra

Illustrating the addition and subtraction of matrices

LE N9: To explore the properties of addition of matrices

AfL

Exit ticket

TB pag 134, order of matrices Q1.



E-book

Teacher’s Guide

Blended Learning


SLS Lesson Title: Matrices

(Operation and multiplication)


Term 1

Week 10

4.3 – 4.4 Multiplication of a Matrix by a Scalar,

Multiplication of Matrices

perform scalar multiplication and

multiplication of matrices (where

possible)

solve problems involving the calculation

of the sum and product of two matrices

(where appropriate)

Introducing scalar multiplication of a matrix and multiplication of

two matrices by examples

Demonstrating the applications of matrix operations in solving

daily life problems

LE N9(a): To justify if two matrices can be multiplied by checking

the orders of the matrices

LE N9(a): To explore some properties of matrix multiplication

LE N9(b): To use matrix multiplication to encode and decode a

message

LE N9(b): To apply matrix multiplication to transformation

matrices for movie making

AfL

Check out

SLS Lesson Title: Matrices

(Operation and multiplication)

7 MCQ questions



E-book

Teacher’s Guide

Revision Ex 4

p.166–167

Go Further

p.168

Useful Websites:

http://www.sosmath.com/matrix/matri

x1/matrix1.html

March

Holiday

*Flipped Learning on Properties of Circles as

holiday Assignment

http://www.sosmath.com/matrix/matrix1/matrix1.html

http://www.sosmath.com/matrix/matrix1/matrix1.html


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 2

Week1

*Sec 3 - Chapter 10 Properties Of Circles

10.1 – 10.2 Chords of a Circle, Angles in a Circle

• recognise equal chords are equidistant from the

centre

• recognise the perpendicular bisector of a chord

passes through the centre of a circle

• apply the above properties to solve problems

• recognise the angle at the centre is twice the

angle at the circumference

• recognise an angle in a semicircle is a right

angle

• recognise the angles in the same segment are

equal

LE G3(a): To investigate the properties of chords using paper

folding

- p.111 Class Activity 1

LE G3(a): To explore the property of equal chord in a circle using

paper folding


Encouraging students to write down the reasons for steps in their

workings

LE G3(b): To find the relationship between the angle at centre and

angle at circumference in a circle


LE G3(b): To find the property of angles in the same segment


Grouping students and asking them whether they can present some

proofs for the properties

Chords in a circle

Reflection via Padlet

Fill in the blanks.

Eg: Equal chords are ______ from

the centre.

Perpendicular bisector of a chord

passes through the ____ of a circle.

Angles in a circle

Exit Ticket via Kahoot

https://create.kahoot.it/details/angle

s-in-a-circle/9443cdb1-85a6-476c-

8d09-03c9caafe3d2

Unit 10.2 Flipped Classroom

SLS: “Angle properties of Circles”

URL:

https://vle.learning.moe.edu.sg/comm

unity-gallery/lesson/view/251dc3d2-

94d1-43bf-88ac-61a4f05c5c5c

Term 2

Week 2

10.3 Angles in the Opposite Segments


• state the properties of angles in opposite

segments

10.4 Tangents to a Circle

• draw a tangent to a circle

• understand that a tangent to a circle is

perpendicular to the radius of the circle at the

point of contact


• recognise tangents from an external point are

equal in length

LE G3(b): To find the relationship between the anlges in the

opposite segments of a circle

- p.131 Class Activity 5 (GSP)

Demonstrating the applications of the properties to solve problems

Showing the applications of the above property in problem solving

Conveying the idea of tangent to a circle

LE G3(b): To find the properties of tangents to a circle from an external

point

- p.139 Class Activity 6 (GSP)

Illustrating how to use those properties to solve problems


Revision of angle properties

https://create.kahoot.it/details/circle

-properties/2c02d1e1-9c33-493c-

a3ea-7ad386f7e4c7


https://create.kahoot.it/details/tange

nts-to-a-circle/92c3c296-2ddc-

4928-b840-d1ae3961b3ea

https://create.kahoot.it/details/circle-properties/2c02d1e1-9c33-493c-a3ea-7ad386f7e4c7



https://create.kahoot.it/details/tangents-to-a-circle/92c3c296-2ddc-4928-b840-d1ae3961b3ea




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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

• recognise the line joining an external point to

the centre of a circle bisects the angle between

the tangents from the external point


Term 2

Week 3

Chapter 5 Vectors in Two-Dimensions

5.1 Introduction to Vectors

understand that a vector consists of both

magnitude and direction

represent a vector by a directed line

segment

represent a vector and its magnitude using

various notations

find the magnitude and direction of a

vector

Introducing a vector as a quantity which has both magnitude and

direction

Giving examples of vectors in real life situations

Describing the representation and notation of vectors using

directed line segments

Introducing equal vectors

p.1–13 Textbook 4B

E-book

Teacher’s Guide

Term 2

Week 4

5.2 Operations on Vectors

use the sum and difference of two vectors

to express given vectors in terms of two

coplanar vectors

multiply a vector by a scalar

Introducing addition, subtraction and scalar multiplication of

vectors

Illustrating the laws of operations using directed line segment

diagrams

LE G7(a): To represent graphically the sum of two vectors and

explore some properties of vector addition

LE G7(b): To give examples to illustrate the resultant of two

vectors

LE G7(a): To represent graphically the difference of two vectors

LE G7(a): To represent graphically a multiple of a vector and

investigate the rules for scalar multiplication of vectors

AfL

SLS Lesson Title: Scalar Multiples

of a Vector (Geogebra)

Activities (2) (Check for

understanding) – 10 mins

p.14–36 Textbook 4B

E-book

Teacher’s Guide

Blended Learning


SLS Lesson Title: Scalar Multiples of

a Vector (Geogebra)


Term 2 5.3 Position Vectors Introducing position vectors as vectors having a fixed initial point p.36–44 Textbook 4B


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Week 4 understand position vectors

perform addition and subtraction and

scalar multiplication with respect to

position vectors

represent a vector on the Cartesian

coordinate plane using column vector

notation

Demonstrating the representation of vectors using position vectors

Describing the column vector as a position vector on the

coordinate plane

E-book

Teacher’s Guide

Term 2

Week 5

5.4 Applications of Vectors in Geometry

find the magnitude and direction of a

column vector

use vectors to solve some geometric

problems

Illustrating the calculation of the magnitude of a column vector

Demonstrating the application of vectors in geometry

AfL

Exit ticket

SLS Lesson Title:

Geometric Problems Involving the

Use of Vectors (Check for

understanding)


MCQ questions on SLS

45–51 Textbook 4B

E-book

Teacher’s Guide

Revision Ex 5

p.53–55

Blended Learning


SLS Lesson Title:

Geometric Problems Involving the

Use of Vectors (Review and solve

geometry problem) (Geogebra)


Term 2

Weeks

5 & 6

Revision for Mid-Year Examination


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 2

Week 7

O Level Mid-Year Examination

Term 2

Week 8 Review of O Level Mid-year Examination

Term 2

Weeks

9 & 10

4E5N Mother Tongue Intensive Programme

June Holiday

Term 3

Week 1

Revision Topic 1 – Numbers, Ratio, Rate and

Proportion

Revision Topic 2 – Percentage and Speed

Term 3

Week 2

Revision Topic 3 – Algebraic Manipulation and

Formulae

Revision Topic 4 – Functions and Graphs

Term 3

Week 3

Revision Topic 5 – Equations and Inequalities

Revision Topic 6 – Set Language and Matrices

Term 3

Week 4

Revision Topic 7 – Angles, Polygons,

Congruence and Similarity

Term 3

Week 5

Revision Topic 8 – Properties of Circles

Term 3

Week 6

Revision Topic 9 – Trigonometry

Revision Topic 10 – Mensuration

Term 3

Week 7

Revision Topic 11 – Coordinate Geometry and

Vectors in Two Dimensions

Term 3

Week 8

Revision Topic 12 – Statistics and Probability

Term 3

Week 9

Revision on Problems in Real-World Contexts

Term 3

Week 10

O Level Prelim Examination Part 1

Sep Holiday

Term 4

Week 1

O Level Prelim Examination Part 2


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Pedagogy



Assessment



be collected?

Resources



Learning outcomes


Blended Learning

Textbook

resources

Term 4

Week 2 Review of O Level Prelim Examination scripts

Term 4

Week 3-5 Practise prelim papers from other schools

Term 4

Week 6 - 7 GCE O Level Written Examination

Woodgrove Secondary School 2021 Scheme of Work For … · 2021. 1. 18. · p.2–10 Textbook 4A...

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Transcript of Woodgrove Secondary School 2021 Scheme of Work For … · 2021. 1. 18. · p.2–10 Textbook 4A...