,MIP1501 Assignment 2 (COMPLETE
ANSWERS) Semester 1 2025 - DUE 3 July
2025; 100% correct solutions and
explanations.
Question 1 (36)
1.1.
The following task example illustrate the Problem-Solving level
according to CAPS:
1.1.1.
John had a few marbles. Today he played and doubled his
number of marbles. Then Thabo gave him three marbles for
free. Jabu has 21 marbles now. How many did he have before
he started playing? Solve this problem using a suitable model.
(6)
1.2.
Define and briefly explain in your own words the historical
evolution of numeration systems and give two examples in the
following:
1.2.1. Early evidence of using numbers (6)
1.2.2. Sumerians and Babylonians (6)
1.3.
,Design your own equations (two for each) on associative,
commutative and distributive property and give solutions to
each (explain each step of your solution clearly to an
Intermediate Phase learner so they can understand) (18)
Question 2 (25)
2.1.
Describe in detail, using your own examples (two for each) on
how the following programmes can assist in the teaching and
learning of numbers, operations and relationships in the
Intermediate Phase mathematics classroom.
2.1.1.
Excel (5)
2.1.2.
GeoGebra (5)
2.1.3.
Microsoft Add-in (5)
2.2.
Briefly discuss five points on how you can integrate technology
in teaching and learning numbers in the intermediate phase as
a tool to enhance instruction and motivate learners. (10)
Question 3 (27)
, 3.1.
Cardinal , ordinal, and nominal numbers are the three basic
types of numbers, understanding them is crucial for developing
a strong foundation in mathematics, particularly for learners in
the Intermediate Phase.
3.1.1.
Define the three basic types of numbers mentioned above using
your own understanding. (6) Downloaded by Mbali Zulu
()
lOMoARcPSD|54629412
3.1.2.
Hence, draw a diagram that will illustrate the three basic type of
numbers and explain referring to the picture to grade 4
mathematics learners. (9)
3.2.
Define the concept prime number and use your definition
explain to a grade 5 mathematics learner how to find the prime
numbers between 1 and 50. (6)
3.3.
One of the learners in your grade 6 mathematics classroom
mistakenly wrote down the multiples of 12 as: 1; 2; 3; 4; 6 and
12. Show how will you explain to the learner that those are not
ANSWERS) Semester 1 2025 - DUE 3 July
2025; 100% correct solutions and
explanations.
Question 1 (36)
1.1.
The following task example illustrate the Problem-Solving level
according to CAPS:
1.1.1.
John had a few marbles. Today he played and doubled his
number of marbles. Then Thabo gave him three marbles for
free. Jabu has 21 marbles now. How many did he have before
he started playing? Solve this problem using a suitable model.
(6)
1.2.
Define and briefly explain in your own words the historical
evolution of numeration systems and give two examples in the
following:
1.2.1. Early evidence of using numbers (6)
1.2.2. Sumerians and Babylonians (6)
1.3.
,Design your own equations (two for each) on associative,
commutative and distributive property and give solutions to
each (explain each step of your solution clearly to an
Intermediate Phase learner so they can understand) (18)
Question 2 (25)
2.1.
Describe in detail, using your own examples (two for each) on
how the following programmes can assist in the teaching and
learning of numbers, operations and relationships in the
Intermediate Phase mathematics classroom.
2.1.1.
Excel (5)
2.1.2.
GeoGebra (5)
2.1.3.
Microsoft Add-in (5)
2.2.
Briefly discuss five points on how you can integrate technology
in teaching and learning numbers in the intermediate phase as
a tool to enhance instruction and motivate learners. (10)
Question 3 (27)
, 3.1.
Cardinal , ordinal, and nominal numbers are the three basic
types of numbers, understanding them is crucial for developing
a strong foundation in mathematics, particularly for learners in
the Intermediate Phase.
3.1.1.
Define the three basic types of numbers mentioned above using
your own understanding. (6) Downloaded by Mbali Zulu
()
lOMoARcPSD|54629412
3.1.2.
Hence, draw a diagram that will illustrate the three basic type of
numbers and explain referring to the picture to grade 4
mathematics learners. (9)
3.2.
Define the concept prime number and use your definition
explain to a grade 5 mathematics learner how to find the prime
numbers between 1 and 50. (6)
3.3.
One of the learners in your grade 6 mathematics classroom
mistakenly wrote down the multiples of 12 as: 1; 2; 3; 4; 6 and
12. Show how will you explain to the learner that those are not
