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 - 63 and 67 are centered around 65 - 71 and 79 are centered around 75 It appears that the product follows the pattern: \[ (a - n) \times (a + n) = __________ _______ __________ _________ _______ ______.
_______ ______ _____ ________ __________ _____ ____ _____ ________ ___.
_________ _____ ____ ___ _____ ______ _____ ______ _________ _______.
_________ ________ ____ ___ _________ __________.
_________ _____ ________ _______ __________.
___ ________ ___ ______ _________ _____ _____ _____.
_________ _________ ________ ________ __________ __________ _____.
______ ______ ________ __________ ________ ____ ________ _________ ___ __________.
_________ _________ ___ __________ ___ ______ __________ ____.
___ _________ _______ ______ __________ __________ ___ ___.
________ ________ ________ ______ ____ ___ __________ _______ _________ _________.
______ _____ ___ _________ ________ _______ _________ ____.
_________ ______ __________ _____ ___ _____ ______ _________ _________ _____ ___.
___ ____ ______ ________ _____ __________ _______ _______.
_____ ____ ____ ________ ______ _____ _______ _____.
__________ ___ ____ ________ __________ _________ ______ _________.
________ ________ _______ ____ _______ ______ ____ _______ ___ ________ ______ ________.
____ ______ ______ __________ _____ _____ _________ ____.
____ _________ _____ _____ _______ ______.
______ ___ ______ ____ ________ _____ ______ _____.
__________ ______ ____ ____ ___ ____ _____ _______ ______.
____ _____ ____ _________ _________ ________ _____ _________ _______ _____.
__________ _________ ___ ____ __________ ________ __________ _______ ____ ___ _____ _______.
________ _______ ____ ______ _______ ____ ____ _________ ____.
______ ____ _________ ______ _________ _______ _______ ______ ________ ____ ________ ____.
_______ _____ ____ __________ _______ __________ _____ _____ __________ ______ ___.
_____ ___ ___ ______ _____ _______ ______ ______ _________.
________ ___ ________ ___ _________ ________ ______ _________ _____ __________ _________.
__________ ________ ______ ____ ____ __________.
__________ __________ _________ _____ __________ _________.
________ ___ _______ ________ ________ ________ __________ _____ ___ ______.
__________ ________ ___ _______ _________ ______ ______.
__________ _____ _________ __________ _______ ___ __________ __________ __________ _________ ______ ___.
____ _____.
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★★★