# 1.7 Mathematics, shapes and patterns

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## Memorandum

Critical and developmental outcomes:

• The learners must be able to:

1. identify and solve problems and make decisions using critical and creative thinking;

2. work effectively with others as members of a team, group, organisation and community;

3. organise and manage themselves and their activities responsibly and effectively;

4. collect, analyse, organise and critically evaluate information;

5. communicate effectively using visual, symbolic and/or language skills in various modes;

6. use science and technology effectively and critically, showing responsibility towards the environment and the health of others;

7. demonstrate an understanding of the world as a set of related systems by recognising that problem-solving contexts do not exist in isolation;

8. reflect on and explore a variety of strategies to learn more effectively;

9. participate as responsible citizens in the life of local, national, and global communities;

10. be culturally and aesthetically sensitive across a range of social contexts;

11. Explore education and career opportunities; and

12. Develop entrepreneurial opportunities.

## Module 1

 Critical and developmental outcomes: Pages: CO 1 4, 5, 8, 15 CO 3 2, 3, 6, 7, 9, 10, 14, 18, 19 CO 4 4, 21 CO 7 11, 12, 13, 16, 17, 20 CO 8 16, 22
• Integration of Themes: Summer
• Human Rights: Learners can be taught to be neat and tidy.
• Inclusively: Matching to show same number – no exceptions made

## Activity: mathematics, shapes and patterns [lo 3.1, lo 2.1, lo 2.2, lo 2.3]

Mathematics and Shapes

Everything has a shape.

• This is the shape of a :
• Look at them and draw those that have the shape of a:

square

Rectangle

circle

triangle

I can see a , ........, ........, ........

I can see a ........, ........, ........, ........

 LO 3.1

## Mathematics and patterns

A pattern is made by drawing the same lines or shapes over and over.

Look at the patterns on Sally's skirt.

• Complete the patterns for Sally.
• Can you see these patterns? Complete them.

• Look for patterns in this number block. Write them.
 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 ........ ........ ........ ........ ........ ........ ........ ........ 10 11 ........ ........ ........ ........ ........ ........ ........ ........ 20 ........ ........ ........ ........ ........ ........ ........ ........ ........
 LO 2.1 LO 2.2

LO 2.1 LO 2.2

• Design your own attractive pattern.
• Play a game. Choose a friend. See who can find the most triangles, squares and rectangles in the pictures. Write down your score.

triangles .............

squares .............

rectangles .............

Who won? ..................................................

 LO 2.3 LO 3.1

## 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 copies and extends simple patterns using physical objects and drawings (e.g. using colours and shapes).

Assessment Standard 2.2: We know this when the learner copies and extends simple number sequences to at least 100;

Assessment Standard 2.3: We know this when the learner creates own patterns.

Learning Outcome 3: The learner will be able to describe and represent characteristics and relationships between two-dimensional shapes and three-dimensional objects in a variety of orientations and positions.

Assessment Standard 3.1: We know this when the learner recognises, identifies and names two-dimensional shapes and three-dimensional objects in the classroom and in pictures, including:

3.1.1 boxes (prisms) and balls (spheres);

3.1.2 triangles and rectangles;

3.1.3 circles;

how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
a perfect square v²+2v+_
kkk nice
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
is it 3×y ?
J, combine like terms 7x-4y
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
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.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
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