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Question

A teacher asked the children to cut out six squares of 'one' unit each and then asked, "How many different shapes can you make using these squares? Which shape formed would have the maximum perimeter?" The least appropriate objective of this activity is

The correct answer is
to engage children in group work

Analyzing Objectives for the Unit Squares Activity

The question describes a hands-on activity where children use six identical squares, each with a side length of one unit, to create different shapes. They are then asked to find which shape has the maximum perimeter. The task requires students to explore geometric possibilities and apply concepts of perimeter and potentially area.

Evaluating Activity Objectives

We need to determine the least appropriate objective for this specific activity based on the options provided:

  • Option 1: to provide opportunities for developing creativity and analytical skills
    This objective is highly appropriate. Children need creativity to visualize and construct various shapes from the squares. Analytical skills are required to calculate the perimeter for each shape and determine which one is the maximum.
  • Option 2: to assess children's learning about area and perimeter
    This objective is also very appropriate. The activity directly involves perimeter calculation. Since the total number of squares is fixed at six, the total area is constant (6 square units). Students are implicitly working with the concept of area while focusing on how different arrangements affect the perimeter.
  • Option 3: to apply the formulae learnt in a new context
    This is a suitable objective. Children are expected to have learned basic concepts or formulae related to perimeter (e.g., counting the outer edges) and possibly area. This activity allows them to apply these learned mathematical principles in a practical, spatial context.
  • Option 4: to engage children in group work
    While the activity could potentially be done in groups, the description doesn't necessitate it. The teacher asks "the children" (plural), but the task itself focuses on individual exploration, spatial reasoning, and measurement. Developing group work skills isn't the primary mathematical or creative goal derived directly from the task of forming shapes and measuring perimeters. Therefore, this is the least appropriate objective compared to the others, which are central to the activity's design.
  • Option 5 is empty and thus irrelevant.

The core of the activity involves geometric exploration, measurement, and creative problem-solving. While group work can be beneficial, it is not the most direct or essential learning objective stemming from this particular task.

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Important Questions from Mensuration (Teaching)

  1. The base diameter of a cylinder is 21 cm and the height is 28 cm, then:
    (A) Radius of cylinder = 10.5 cm
    (B) Volume = 12936 cm³
    (C) Curved Surface Area = 1848 cm²
    (D) Total surface area = 2541 cm²
    Which of the following is/ are correct?
    Choose the correct answer from the options given below:
  2. On the basis of the information given in the statement, which of the suggested course of action logically follows ?
    Statement : Anamika does conceptual error while solving problems on mensuration.
    Course of Action :
    (I) Teacher gives a lot of hands-on and visual practice to Anamika.
    (II) Teacher provides the scope of discussion while giving open-ended questions.
    Choose the correct option.
  3. The numerical values of perimeter and area of a square are equal. The length of the side of the square is :
  4. A cubical tank of side 10 m is open at the top. The inner surfaces of the tank including its base are to be painted at the rate of ₹5 per square metre. Find the total cost of painting.

  5. A solid cylinder has a radius of 7 cm and height of 10 cm. Find its total surface area. (Use \(\pi = \dfrac{22}{7}\))

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