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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 about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
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
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
I only see partial conversation and what's the question here!
Crow 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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