MIP1501
ASSIGNMENT 02
Unique No: 178117
Due 3 July 2025
, MIP1501:
Assignment 02
Unique Number: 178117
Due 3 July 2025
Teaching Mathematics in the Intermediate Phase
Question 1 (36 Marks)
1.1.1 Problem-Solving Level
Problem: John doubled his marbles and received three more. Now he has 21 marbles. How
many did he have initially?
Let the original number of marbles be x.
2 x+ 3 = 21 ⇒ 2 x= 18 ⇒ x= 9
Answer: John had 9 marbles initially.
Explanation for learners: Draw two equal bars (representing doubling) and a small bar for
the 3 marbles added. Together, they equal 21. Subtract 3, then divide by 2 to find the
original amount.
1.2 Historical Evolution of Numeration Systems
1.2.1 Early Evidence of Using Numbers
Early humans used tally marks on bones and stones to track time and quantities.
Example 1: Tallying days using notches on wood.
Example 2: Ishango bone showing prime number patterns.
1
ASSIGNMENT 02
Unique No: 178117
Due 3 July 2025
, MIP1501:
Assignment 02
Unique Number: 178117
Due 3 July 2025
Teaching Mathematics in the Intermediate Phase
Question 1 (36 Marks)
1.1.1 Problem-Solving Level
Problem: John doubled his marbles and received three more. Now he has 21 marbles. How
many did he have initially?
Let the original number of marbles be x.
2 x+ 3 = 21 ⇒ 2 x= 18 ⇒ x= 9
Answer: John had 9 marbles initially.
Explanation for learners: Draw two equal bars (representing doubling) and a small bar for
the 3 marbles added. Together, they equal 21. Subtract 3, then divide by 2 to find the
original amount.
1.2 Historical Evolution of Numeration Systems
1.2.1 Early Evidence of Using Numbers
Early humans used tally marks on bones and stones to track time and quantities.
Example 1: Tallying days using notches on wood.
Example 2: Ishango bone showing prime number patterns.
1
