Session 1

Numeracy lesson and differentiation

Content

Environment

Process

Product

COLUMN

GRAPh

Same width

We all have the same width

Data: informationSurvey: a way of collecting information Column graph: Column graphs are an excellent way to show results that aren't continuous - especially samplings such as surveys.Conduct: organize and carry out.Census: it is a survey that surveys the whole population or group.Horizontal axis: this is a line running across the graph. It has a label beneath it.Vertical axis: this is a line running up the side of a graph. It has a label next to it. Scale:

Key words

The scales on horizontal or vertical axes are similar to the scales found on many measuring instruments. A scale is a series of numbers that are increasing or decreasing by the same amount. Part of the skill of interpreting a graph is reading the scales on the axes. Each scale will be labelled with the unit of measurement that has been used.

Survey

A way of collecting information

Helps to find the views of the whole community or group

Surveys are a primary source of information

What is a survey?

Uses questions

Census Sample

Surveys the whole population

Surveys a selected group

How to conduct a survey

5- Graph your results

4- Choose a suitable graph

3- Record your results in a table

2- Ask people your question

1- Think of a question

How to conduct a

survey

,,,.

Type of sport

Basketball

Volleyball Soccer

Netball

Number of students

7 5 9 2

Types of

graphs

Line graph

s Sector

graphs

Picture

graphsBar

graphs

Step graph

s

Column

graphs

DIFFERENT TYPES OF GRAPHS

Column graph Column graphs have a series of vertical blocks. Column graphs can be distinguished from histograms because the blocks always have gaps between them while histograms have no gaps.

0

5

10

15

20

25

30

Use of column graphsA column graph is used to show relationships between groups. Column graphs are an excellent way to show results that are one time, that aren't continuous - especially samplings such as surveys.

Origin of the words graph and data

How to construct a column graph.1-Draw two axes: one vertical and one horizontal. Make sure you leave room at the edge of the page for your labels.2- Always place numbers on the vertical axis. Non-numerical groups are on the horizontal axis3- Label each axis 3- Columns should be of the same width and should not touch at all.4- Leave half of the column width at the start.5 - The scale should go up evenly and cover the largest and smallest values.6- Include scientific units where appropriate.7- Include a title to explain what the graph is about. Your title should start with: Graph of……..

Things you should follow when drawing a column graph

use grid paper

Draw in the two axes with a ruler

use a pencil

Column graphs have a series of vertical blocks.

Columns should be of the same width and should not touch at all.

Non-numerical groups are on the horizontal axis.

Always place numbers (numerical groups)on the vertical axis.

Leave half of the column width at the start

Aus-tralia

Pacific Islands

Asia Middle East

Other0

1

2

3

4

5

6

7

8

9

OtherMiddle EastAsiaPacific IslandsAustralia

The Vertical axis going up shows frequency (Numbers)

A gap at the start which is half of the column width (0.5 cm or 5mm)

The horizontal axis (going across) shows the items

The spacing between the columns is kept the same

All columns should have the same width

Title

ColumnsGraph of parents’ region of birth

Num

ber o

f stu

dent

s

Region of parents’ birth

1 cm

Legend

Numbers are placed on the vertical axis

A census was carried out by 7A who has a total of 21 students to find out important information.This information include the following:Region of parents’ birthRegion of students’ birthMonth of birthNumber of siblings

This table shows parents’ region of birth of 7A 2014.

Parents’ region of birth

Australia Pacific Islands

Asia Middle East other

Number of students 5 6 1 8 1

Draw a suitable graph for your data.

Step 1: Draw the axes

Step 2: Always place numbers on the vertical axis. Non-numerical group on the horizontal axis.

Num

ber o

f par

ents

Step 3: Label the axis

Step 4: Setting up the scales. Count how may squares represent 1 on vertical axis.

On the horizontal axis, Leave 0.5 gap for the start (1 square) (half of the column width)

Step 5: Putting up the values and drawing the columns

Add a title

0

Graph of parents’ region of birthTitle

Region of parents’ birth

1 cm

Australia

Pacific I

slands

Asia Middle

East Oth

er

columns should be of the same width (1cm)..

Students to get a grid paper and draw one at the same time.

Aus-tralia

Pacific Islands

Asia Middle East

Other0

1

2

3

4

5

6

7

8

9

56

1

8

1

OtherMiddle EastAsiaPacific IslandsAustralia

Graph of parents’ region of birth

Region of parents’ birth

Num

ber o

f par

ents

Graph of parents’ region of birthN

umbe

r of p

aren

ts

Region of parents’ birth

Num

ber o

f stu

dent

s

0

Region of students’ birthTitle

Region of students’ birth

1 cm

Australia

Pacific I

slands

Other

Middle Ea

st

18

6

Asia

Num

ber o

f stu

dent

s

0

Month of birthTitle

1st quarte

r

2nd quar

ter

3rd quar

ter

4th quarte

r

1st quarter = J,F,M2nd quarter = A,M,J3rd quarter = J,A,S4th quarter = O,N,D

5 7 6

Month of birth

Num

ber o

f stu

dent

s

0

Month of birthTitle

Seasons Summer

Autumn

Winte

r Sp

ring

Summer: D,J,FAutumn: M,A,MWinter: J,J,ASpring: S,O,N

4 48

Num

ber o

f stu

dent

s

0

Title

0 siblin

g

1 siblin

g2 s

iblings

3 sib

lings

54

Number of siblings

Number of Siblings 4 sib

lings

5 sib

lings

6 sib

lings

7+

2 1

Station 2

Station 3

Station 4

Station 1

Evaluation

and

Feedback from each student

Student feedback and evaluation

Class: Date:

Lesson:

By Zani Alam