Surname and Name
: Khumalo Simangele
Student no
: 15284808
Assignment no
: 04
Module Code
Assignment 04 unique no
: MIP1502
: 606441
Due Date
: 15 August 2023
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2
Question 1
1.1.3In the tiling situation, variables are quantities that can change or vary, while constants are
quantities that remain fixed.In this case, the number of yellow, red, and blue tiles can vary
depending on the tile number, so they are considered variables.The total number of tiles,
however, remains fixed for each tile number, so it is considered a constant.
1.1.4 To complete columns 6 and 25, you need to count the total number of tiles in each tile
number.This can be done by adding up the number of yellow, red, and blue tiles in each tile.In
column 6, you would add the values in columns 1, 2, and 3 to get the total number of tiles.
1.1.5 To calculate the number of yellow tiles you need to observe a pattern in the arrangement of
tiles.Determine how the number of yellow tiles changes as the tile number increases.Once you
identify the pattern, you can use it to calculate the number of yellow tiles for any given tile number.
1.1.6 Tn=n²+4n-2
T(73)=(73)²=4(73)-2
T(73)=5619
1.1.7 Tn=n²+4n+4
T(60)=(60)²+4(60)+4
T(60)=3844
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1.1.8 Tn=n²+4n+4
10603=n2+4n+4
0=n2+4n-10599
n=100,9708697 or n=-104,9708697
1.2
1.2.1
Number of
hours
1
Cost of laptop R5
renting in R
2
3
4
5
R7
R9
R11
R13
1.2.2For every R3 rental fee that she charges per student, I added an additional charge of R2 for
every hour.
1.2.3
4
1.2.4 Cost=(number of hours x 2) + 3
R5=no of hours(2) = 3
5-3=no of hours(2)
2=no of hours(2)
1hr=no of hours
1.2.5 For every hour you add two more hours and an additional fee of R3.
1.2.6 It is the rental fee.
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Question 2
2.1
2.1.1 f(x)=4x-2
2.2
2.2.2 (1;7) (2;12) (3;17) (4;22) (5;27)
2.2.3(1;3) (2;6) (3;10) (4;15) (5;21)
2.3
2.3.1(4;0)(0;-2)
m=½ y=mx+c
0=(½)(4)+c
0=2+c
-2=c
f(x)=½ x – 2
2.3.2 f(x)=ax²+q
0=a(2)²+(-2)
0=a(4)-2
2=a(4)
½=a
f(x)=½ x² -2
2.4 5L=3M
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2.5
2.5.1
7
2.5.2
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Question 3
3.1.a.It allows you to concentrate on struggling learners.This way, you will be able to check their
level of understanding and match your teaching style with what your class needs.
b.A lesson plan is important as it gives a sense of direction in relation to standards.
c.It helps in avoiding omissions and unnecessary repetition.
d.It helps in knowing how to teach a certain topic.
e.The lesson plan helps a teacher to prepare the necessary materials for a lesson.
3.2
3.2.1 Title=Geometrical patterns
Duration=1 hour 30 minutes
3.2.2 Introduction
Engage learners by showing them different examples of geometrical patterns in real-life objects,
such as tiles,fabrics, or buildings.Ask questions to elicit their prior knowledge about patterns and
their characteristics.
3.3.3 Demonstrate how to identify and describe patterns using shapes and colours.Provide
examples of patterns and guide learners in extending and creating their own patterns.Use handson activities, such as pattern blocks or tangrams, to reinforce understanding and encourage
creativity.Discuss the abstractness, variety, and complexity of patterns, highlighting how patterns
can be simple or intricate.
3. 3.4Resources used
-Pattern blocks or tangrams.
-Worksheets or templates for guided practice.
-Real-life examples of geometrical patterns.
-Rubric or checklist for assessment.
-Mathematics textbook.
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References
1.Mphuthi,GT .(2020).Mathematics for Intermediate Phase Teachers ll, Only study guide for
MIP1502.University of South Africa: Pretoria.
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