Mathematics by Imtiyaz Ahmed

IGCSE_1_0607 [8th July, 2021]

imtiaz8411 — 2021-07-07 18:27:14 UTC

Use of the four operations and brackets
BIDMAS: Brackets, Indices, Division, Multiplication Addition and Subtraction. Give learners some examples that illustrate the rules for multiplying and dividing with negative numbers.
Teaching Tools: Jam Board
Practice Questions
1, 2, 3
Assignment

IGCSE_2_0607 [8th July, 2021

imtiaz8411 — 2021-07-07 19:15:06 UTC

Properties of the graphs of y=sin x, y=cos x , y=tan x , x in degrees
Learning Objectives along with learning activities

Midline, amplitude, and period review

Review the basic features of sinusoidal functions: midline, amplitude, and period.

Feedback:
Practice 1
Practice 2
Practice 3

Teaching Tools:

Desmos
Jam Board
Kami Extensions

Kahoot Quizz
Khan Academy Quizz

📹IGCSE_1_0607

imtiaz8411 — 2021-07-08 07:31:18 UTC

IGCSE_1_0607 [11th July, 2021]

imtiaz8411 — 2021-07-10 14:07:36 UTC

Highest common factor (HCF), lowest common multiple (LCM)
Activity 1: What do we mean by LCM?
Activity 2: How do you find the HCF and LCM of 3 numbers?
Activity 3: Play Kahoot

Review

Finding Common Multiples
Finding Common Factors

Finding Common Multiples

imtiaz8411 — 2021-07-11 05:39:42 UTC

Finding Common Factors

imtiaz8411 — 2021-07-11 05:41:50 UTC

IGCSE_2_0607 [11th July, 2021]

imtiaz8411 — 2021-07-11 05:45:12 UTC

Lesson Review_Trigonometry
Activity1: Google Form to get the status of each student
Activity2: Discussion over the topics which are not up to the mark.

Review:

Practice Questions from the whole chapter
Extra Class Schedule in weekend

IGCSE_1_0607 [13th July, 2021]

imtiaz8411 — 2021-07-12 16:00:46 UTC

HCF & LCM using Prime Factors
Objectives [Activities]
1. Prime Numbers?

2. Prime Numbers Activity

3. Greatest Common Factor
4. Least Common Multiple Calculator

Review:

IGCSE_2_0607 [13th July, 2021]

imtiaz8411 — 2021-07-12 16:55:17 UTC

SETS Theory
Objectives:

Notation and meaning for:

number of elements in A, (n(A))
is an element of (∈)
is not an element of (∉)
complement of A, (A′)
empty set (∅ or { })
universal set (U)
is a subset of (⊆)
is a proper subset of (⊂)

Review:

IGCSE_1_0606 [13th July, 2021]

imtiaz8411 — 2021-07-13 07:01:29 UTC

Rationalising the Denominators:
Learning the concept using some examples

IGCSE_1_0607 [14th July, 2021]

imtiaz8411 — 2021-07-13 18:12:56 UTC

Calculation of Powers and Roots
Objectives

Review:

IGCSE_2_0607 [14th July, 2021]

imtiaz8411 — 2021-07-13 18:53:15 UTC

Sets in descriptive form { x | } or as a list
Objectives

Subset & Universal Sets
What is a Universal Set?

Review: Ex_9.2

IGCSE_1_0607 [15th July, 2021]

imtiaz8411 — 2021-07-14 19:04:29 UTC

Fundamental Test

History of Mathematics

imtiaz8411 — 2021-07-27 20:14:25 UTC

IGCSE_1_0607

imtiaz8411 — 2021-07-31 20:12:21 UTC

Indices & Surds
Perform simple operations with indices and with surds, including rationalising the denominator

Tools:
Jam Board
Review:

IGCSE_2_0607

imtiaz8411 — 2021-08-01 05:00:10 UTC

Venn Diagram
Venn diagrams with at most two (three) sets

Core – two sets only

Tools: Jamboard
Review

IGCSE_1_0607

imtiaz8411 — 2021-08-01 17:58:38 UTC

Objective: Powers and Roots
Jamboard
Feedback:

1. Powers and Roots Online Exam

2. Hodder_Ex_1.1

IGCSE_1_0607

imtiaz8411 — 2021-08-01 18:00:18 UTC

Illustration: Squares, square roots, cubes and cube roots of integers.

Extend: Find the square and cube of fractions and decimals without using a calculator.
Cubic Numbers

IGCSE_2_0607

imtiaz8411 — 2021-08-02 05:01:40 UTC

Problems on Venn Diagrams
Jamboard

imtiaz8411 — 2021-08-02 09:30:43 UTC

imtiaz8411 — 2021-08-02 09:31:14 UTC

imtiaz8411 — 2021-08-02 09:31:44 UTC

HAPPY LEARNING

imtiaz8411 — 2021-08-02 09:50:00 UTC

imtiaz8411 — 2021-08-02 13:35:03 UTC

Ratio and proportion

imtiaz8411 — 2021-08-02 13:40:00 UTC

Fractions
Place Values & Decimals

Ratio and proportion, including use of e.g. map scales

Jamboard
Review

Khan Academy Practice Questions due on 8th Aug

imtiaz8411 — 2021-08-02 14:36:20 UTC

Absolute value |x|

imtiaz8411 — 2021-08-02 14:38:51 UTC

Activity 1
Absolute Value
Jamboard
Khan Academy
Intervals and interval notation

Review
Kahoot
Practice Sheet_Math Is Fun

imtiaz8411 — 2021-08-02 14:54:39 UTC

imtiaz8411 — 2021-08-02 14:55:05 UTC

imtiaz8411 — 2021-08-02 14:59:12 UTC

imtiaz8411 — 2021-08-02 14:59:39 UTC

Intersection and Union of Sets, Venn Diagrams

imtiaz8411 — 2021-08-03 05:01:13 UTC

This can be extended to general Venn diagrams concentrating on the shading of the regions representing the sets ,and helping learners to understand the notation.

Learners would find it useful to know that is the same as and that is the same as . Make sure that learners understand the language associated with sets and Venn diagrams.

Subset, strict subset, and superset

Kahoot_Sets

imtiaz8411 — 2021-08-04 04:25:34 UTC

imtiaz8411 — 2021-08-22 17:05:33 UTC

Mensuration

imtiaz8411 — 2021-08-22 17:09:35 UTC

Surface area and volume of prism and pyramid (in particular, cuboid, cylinder and cone)

Surface area and volume of sphere and hemisphere

Formulae given for curved surface areas of cylinder, cone and sphere; volume of pyramid, cone, cylinder, prism and sphere

Introduction

We live in a three-dimensional world. Every object you can see or touch has three dimensions that can be measured: length, width, and height. The room you are sitting in can be described by these three dimensions. The monitor you're looking at has these three dimensions. Even you can be described by these three dimensions. In fact, the clothes you are wearing were made specifically for a person with your dimensions.

In the world around us, there are many three-dimensional geometric shapes. In these lessons, you'll learn about some of them. You'll learn some of the terminology used to describe them, how to calculate their surface area and volume, as well as a lot about their mathematical properties.

^{Geometry 3-D Shapes Interactive}

Math Formulas for Geometric Shapes

Surface Area of Rectangular Solids

Volume and Surface Area

Edpuzzle
Jamboard
Khan Academy
Rate conversion
Converting units: metric distance
Convert units (metrics)
Convert units word problems (metrics)
Convert units multi-step word problems

Review 1
Review 2
Exercise Completion

Areas and volumes of compound shapes

Core – simple cases only

imtiaz8411 — 2021-08-22 17:34:52 UTC

imtiaz8411 — 2021-08-22 17:36:28 UTC

Equivalences between decimals, fractions and percentages

imtiaz8411 — 2021-08-22 17:48:09 UTC

Converting between percent, fractions, & decimals

Fraction, decimal, and percent from visual model

Review

Rewriting decimals as fractions challenge

Converting fractions to decimals

Relate fractions, decimals, and percent

Percent problems
Percent word problems
Practice Questions
Unit test

imtiaz8411 — 2021-08-23 17:27:18 UTC

Scientific Notation or Standard Form

imtiaz8411 — 2021-08-31 04:45:31 UTC

Meaning of exponents (powers, indices) in
ℤ / ℚ Standard Form, a × 10^n where 1 ⩽ a < 10 and n ∈ ℤ / n ∈ℚ
Overview

Introduction to scientific notation

Standard Form

Scientific notation examples

Review

Scientific notation - Khan Academy

Hodder Exercise

Estimating, rounding, decimal places and significant figures

imtiaz8411 — 2021-09-03 09:43:00 UTC

Estimating and rounding decimals 1

Estimation | Knowing Our Numbers

Learning How to Estimate

Rational Numbers on a Number

Line Introduction to Estimation

Review
Practice 1
Hodder Exercise
Activities
Garden Area Activity
Grass for the Garden Activity

imtiaz8411 — 2021-09-03 09:44:41 UTC

Speed, Distance & Time

imtiaz8411 — 2021-09-03 09:53:23 UTC

Calculations involving time: seconds (s), minutes (min), hours (h), days, months, years including the relation between consecutive units;
1 year = 365 days

Time and Date

Speed

Jamboard

Review
Hodder Exercise

Investigation, Modelling, ICT & Assessments

imtiaz8411 — 2021-09-03 10:40:43 UTC

Mid-Term 1 Syllabus

Statistics & Probability

imtiaz8411 — 2021-09-04 14:53:21 UTC

Using and Handling Data

1. Reading and interpretation of graphs or tables of data
2. Discrete and continuous data
Histograms
3. (Compound) bar chart, line graph, pie chart, pictograms, stem-and-leaf diagram, scatter diagram

Scatter Plots

4. Measure of Central Tendency
Mean, mode, median, quartiles and range from lists of discrete data

Mean, mode, median and range from grouped discrete data
5. Mean from continuous data
6. Cumulative frequency table and curve

Median, quartiles, percentiles and interquartile range, read from curve
7. Use of a graphic display calculator to calculate mean, median, and quartiles for discrete data and mean for grouped data

8. Understanding and description of correlation (positive, negative or zero) with reference to a scatter diagram, the coefficient of correlation is not required
Correlation Calculator

Straight line of best fit (by eye) through the mean on a scatter diagram

Use a graphic display calculator to find equation of linear regression

Probability
Probability 1
1. Probability P(A) as a fraction, decimal or percentage

Significance of its value
The Monty Hall Problem!

Probability 2
2. Relative frequency as an estimate of probability
Expected frequency of occurrences
Basic set operations

Probability 3
3. Combining events:

Core – simple cases only

The addition rule