Much of Mathematics teaching is actually about encouraging children to

Question

Much of Mathematics teaching is actually about encouraging children to become more aware about patterns they find and to use them in their thinking. Illustrate this in the case of the situation given below by answering the questions given in questions (i), (ii) and (iii), below.

"A mathematics teacher in class 5 showed the following pattern in the class.

46 x 44 = 2024

63 × 67 = 4221

71 × 79 = 4909

She gave some time for the students to identify the pattern. After some time she asked the students to find the answer of "84 x 86" in one second. One student answered 7224. Based on this situation, answer the following question.

i) What is the pattern used by the student?

ii) Explain why it works?

iii) Describe how it helps to encourage mathematical thinking.

18 Feb 2025

Answer :

Word Count : 387

Let's analyze the given pattern step by step. ### Identifying the Pattern (Question i) Looking at the given multiplications: 1. 46 × 44 = 2024 2. 63 × 67 = 4221 3. 71 × 79 = 4909 Observing closely, we see that each pair consists of two numbers that are equidistant from a central number: - 46 and 44 are centered around 45 - ____ ___ _____ _____ __________ ____ __________ _________ ______ _________.
_________ ______ ________ _________ ____ _________ _________ ________ _______ _______ _____.
___ ___ __________ _____ ___ ______ ____ ______ _________.
_____ ___ ___ ___ ___ _________ _______ ______.
___ _____ ___ ________ ______.
___ _____ ________ _____ ___.
____ ____ __________ __________ _________ _______ ________ ______.
_____ ____ _____ ____ ___ _________ ______ _____ ______.
_____ _______ ___ ______ ___.
_______ ____ ______ ___ ________ ___ ___ __________ ____ _________.
_____ ___ _________ ______ ________.
_________ _______ ____ ____ __________ ____ ___.
___ _____ _________ _______ ___ __________ ___.
________ __________ ______ _____ ____ _____ _______.
_______ _________ _______ ________ ______.
____ _____ _____ ______ ___ ____ _______ ______ _________ _________ ________.
_____ _____ ______ _______ ______ _________ ____ _________.
___ ______ _____ _____ _____ _________.
________ ______ ______ ________ _________ ____ ____ ________.
_____ ____ _____ __________ _______ _______.
________ ___ ____ ______ __________ ___ _____ _________ ___ _________ ________.
___ __________ __________ _______ ______ _______ _______ ___ ___ ________ ____ _____.
____ ___ _______ __________ ________ __________ ___ ___.
__________ _______ ____ _________ _______ _________ ___ _________ ____ ____ _______.
_____ __________ _____ _____ _________ ______ ______ _____.
____ _____ __________ __________ ______ ____ ___ ____ _________ ________.
______ _________ ____ ___ ________ _______ _______ __________ _____.
____ _________ ________ _________ ___ ___ _______ ________ ___ _______ ________ _________.
_______ _______ _______ _________ __________ _____ ____ __________ ___ __________ __________ ___.
__________ __________ ________ __________ ________ _____.
_____ _______ ______ _______ ______ _______ ________.
___ ______ ______ ______ _______ _______ _________ _______ ______.
_____ ______ ______ ____ _____ ________ ____ ______ ____ __________ _____ ___.
______ _________ _____ _________ _________ ________ _________ ______ _____ ___.
______ _________ _______ ________ ____ ________ ____ ________ ________ ______ ______ ________.
___ ____ ______ ________ ______ _______ _____.
_______ _____ _____ ___ ______ ______ ____ _____ _____ ______ _____.
_________ ________ _____ ____ _________ _____.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★