Give an example each of a situation/word problem related to rivers, for the categories below:
i) Cartesian product.
ii) Augmentation
iii) Complementary addition
iv) Ratio
Which of these four problems would be the earliest for a child of Class 4 to solve, and why?
Here are the examples of a situation/word problem related to rivers for the given categories:
i) Cartesian product: If there are 3 rivers A, B, and C, and 2 bridges X and Y, find the pairs of river and bridge that can be __________ _____ _____ ________ ___ ___ __________ ___ _________ _____.
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Explain how each of the pre-number concepts support the actual process of counting. Your explanation should include an example.
Is there a relationship between the perimeter and area of quadrilaterals? Give reasons for your answer.
Give an example each of a situation/word problem related to rivers, for the categories below:
i) Cartesian product.
ii) Augmentation
iii) Complementary addition
iv) Ratio
Which of these four problems would be the earliest for a child of Class 4 to solve, and why?
Explain the five Van Hiele levels of development of spatial understanding in the context of measuring shape and size of 2D figures.
After an earthquake, 70 people of the affected community are required to be housed in several tents. Each tent is conical in shape, and must be large enough to allow a family of four to live in it and sleep in it. The radius of the floor space it takes up should be 3 metres, and the tallest human in each family would be around 2 metres. How much material is required to make up the tent?
Solve the problem above, giving the stages involved while doing so.
Give an appropriate example each in support of the statements below. Also justify your choice of example.
i) Classroom relationships become a resource for developing the mathematical abilities of children.
ii) Each child needs time to reflect on the mathematical concept or process being taught.
iii) Learning experiences should be designed so as to build on existing proficiencies, interests and experiences, for effective mathematics teaching.
iv) The ability to make connections between apparently separate mathematical ideas is crucial for conceptual understanding.
v) Mathematical problems can have diverse solutions.
Give two activities, each requiring different ability levels of the learners, to help them understand the concept of ‘negative number’. Justify your choice of activities, also explaining how the second activity requires a higher ability level of the learner than the first acitivity.