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Mathematics

Number patterns

Educator section

Memorandum

2.

a) 12 321

1 234 321

123 454 321

b) 12 345 654 321

3. a)

i) 9 109

ii) 18 218

iii) 27 327

iv) 36 436

b)

i) 633 763

ii) 81 981

4. a)

i) 111

ii) 222

iii) 333

b) Increases with111

c)

i) 12

ii) 15

d) 888

5. a)

i) 37 037

ii) 37 037

iii) 37 037

b)

i) 444 444 ÷ 12

ii) 555 555 ÷ 15

6. a)

i) 111 111

ii) 222 222

iii) 333 333

b)

i) 555 555

ii) 777 777

7.

i) 1 089

ii) 2 178

iii) 3 267

iv) 4 356

b) First 2 numbers increases with one at a time.

Last 2 numbers decreases with one at a time

c)

i) 99 x 55 = 5 445

ii) 99 x 66 = 6 534

Leaner section

Content

Activity: number patterns (patterns) [lo 1.9.2]

2. Use your pocket calculator and investigate the following patterns:

a) 1 × 1 = 1

11 × 11 = 121

111 × 111 = ________________________

1 111 × 1 111 = _____________________

11 111 × 11 111 = ___________________

b) Now predict: 111 111 × 111 111 = _________________

c) Validate your answer with your pocket calculator.

3 . Complete the following patterns:

a) i) 9 109 × 1 = __________________

ii) 9 109 × 2 = __________________

iii) 9 109 × 3 = __________________

iv) 9 109 × 4 = __________________

b) What will be the answer to:

i) 9 109 × 7? __________________

ii) 9 109 × 9? __________________

c) Now explain the pattern to a friend.

4 . a) Here is another interesting pattern to investigate.

i) 37 × 3 = __________________

ii) 37 × 6 = __________________

iii) 37 × 9 = __________________

b) What have you noticed? _________________________________________

_____________________________________________________________

c) Fill in the missing answers:

i) 37 × ________________ = 444

ii) 37 × ________________ = 555

d) What will the product of 37 and 24 be? ______________________

e) Check your answer with the help of your pocket calculator.

5 . a) Calculate the following:

i) 111 111 ÷ 3 = ________________

ii) 222 222 ÷ 6 = ________________

iii) 333 333 ÷ 9 = . ________________

b) Write down 2 similar sums which will give the same answer.

i) __________________________________________________________

ii) __________________________________________________________

6 . a) Also investigate the following pattern:

i) 1 × 15 873 × 7 = ______________________________

ii) 2 × 15 873 × 7 = ______________________________

iii) 3 × 15 873 × 7 = ______________________________

b) Without using your pocket calculator, predict:

i) 5 × 15 873 × 7 = ______________________________

ii) 7 × 15 873 × 7 = ______________________________

7 . a) With the help of your pocket calculator write down the following answers:

i) 99 × 11 = ______________________________

ii) 99 × 22 = ______________________________

iii) 99 × 33 = ______________________________

iv) 99 × 44 = ______________________________

b) Examine the pattern carefully. Explain it to a friend.

c) Write down the following two sums in the series, with their answers:

i) _______________ × _______________ = _______________

ii) _______________ × _______________ = _______________

Self-assessment

Complete the following by colouring the appropriate blocks: yes no
I can complete number patterns with the help of my pocket calculator
I can predict patterns without the help of my pocket calculator
I still need help to really understand this particular learning unit

Assessment

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.1: We know this when the learner investigates and extends numeric and geometric patterns looking for a relationship or rules, including patterns.

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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