Question

2.1.1 In another problem, Paul, Jean, Charlie and Nox are given a three-digit dividend and a one-digit

divisor. Can you help them predict how many digits will be in the quotient? Give examples to
support your answer.
(5)
2.2 On Monday's homework, Mrs. Kay asked that learners use manipulatives to find the sum of +2.
Jay used fraction chart and arrived at a sum of 1-2 and Tom used counters and arrived at an
answer of
2.2.1 Illustrate by means of diagrams how each of the learner may have arrived at an answer. (5)
2.2.2 What would you as a mathematics teacher say, to make it clear how to solve the problem. (5)
Subtotal 30
Question 3
3.1 Identify and explain the error(s), if any, in each of the computations below.
a. 36
b. 36
c. 365
+28
+28
+287
91
514
742
3.2 Represent and solve each of the following problems using area model, linear model and set model. Explain how
you arrived at the solution.
(9)
a. ² + ² b. 2 = + = c. ²-1
3.3.1
3.3 Which of the following graphs best describes the temperature of a cup of coffee that is initially very hot placed
on a desk?
(2)
Temp (F)
200-
3.3.2
100-
(a) Temp (F)
15 30
Time
200-
100-
(b) Temp (F
200
15 30
Time
100-
4
(c)
15 30
Time
Figure 4: Number Systems. Source: Mathematics for Elementary School Teachers (Moss & Bassarear, 2018)
Explain the reason for your choice.
(6)
AC12605/102/0/2022
Explain why the two other options are not the valid representations of the situation
3.4 Consider the scenario below and answer the questions that follow:
(2)
(3)
A man walks steadily for some time and then begins to climb a hill. As he walks up the hill, he walks more and
more slowly until he reaches the top of the hill. He walks more and more faster as he walks down the hill and
maintains the steady pace once he made it to the top of the hill.
3.4.1
Sketch the graph for the scenario above.
(6)

Answer 1

2.1.1 2 or 3 digits

Explanation:

2.1.1 In another problem, Paul, Jean, Charlie and Nox are given a three-digit dividend and a one-digit divisor. Can you help them predict how many digits will be in the quotient? Give examples to support your answer.

Start with the smallest 3-digit number and the largest 1-digit divisor that will divide evenly.

108/9 = 12

Now, use the largest 3-digit number and the smallest 1-digit number that divide evenly.

999/1 = 999

The quotient has 2 or 3 digits.