TMN_3704_Assignment_2_2021

TMN_3704_Assignment_2_2021 2.1. Mathematics is a language that makes use of symbols and notations to describe numerical, geometrical and graphical relationships. It is a human activity that involves observing, representing and investigating patterns and quantitative relationships in physical and social phenomena and between mathematical objects themselves. It helps to develop mental processes that enhance logical and critical thinking, accuracy and problem solving that will contribute decision making. Observing- the ability to look at a problem and be able to understand the demands that are required to come up with a solution. Representing- being able to confidently attempt and solve certain problems that one comes across and applying the methods that one has been taught or instilled. Investigating- the ability to look into the nature of a problem and come up with a plausible solution or problem solving strategy that matches the problem at hand. 2.2. The cake- the cake is one whole in its full capacity. If we slice it into four equal pieces, it means we have 4 quarters which is one whole. If you eat one piece you have taken off one quarter (1/4) and you are left with three quarters (3/4) of a whole. Fruits- if a fruit tree bears 10 fruits it means you have (10/10) fruits. If you give 3 people 1 fruit each from the tree you would have used (3/10) of the fruits and you will be left with (7/10) of the fruits. 2.3. (i) b (ii) a, b and d. (iii) a. This study source was downloaded by from CourseH on :14:51 GMT -05:00 This study resource was shared via CourseH 2.4. Content area General content focus Intermediate Phase specific content focus Space and Shape (Geometry) The study of Space and Shape improves understanding and appreciation of the pattern, precision, achievement and beauty in natural and cultural forms. It focuses on the properties, relationships, orientations, positions and transformations of twodimensional shapes and threedimensional objects.  The learners’ experience of space and shape in this phase moves from recognition and simple description of characteristics to and properties of two-dimensional shapes and three dimensional objects.  Learners should be given opportunities to: -draw twodimensional shapes and make models of three-dimensional objects. -describe location, transformation and symmetry. 2.5. Rounding off is calculated using a number line which means numbers move backwards or forward depending on their value in regard to the stipulated whole number. Number that are more than half of the stipulated whole number move forward towards the whole number while those that are less move back to the initial number. This study source was downloaded by from CourseH on :14:51 GMT -05:00 This study resource was shared via CourseH (i) 98 to the nearest whole number is 100. Compensation is subtracting from your answer whatever you to each number in order to round it off. An example: 256 plus 100 is 356 minus 2 is 354. We rounded off 98 to 100 by adding 2 therefore to compensate we had to subtract 2. 2.6. Identity property. (i) The Identity Multiplication (One Property). The identity property of 1 says that any number that is multiplied by 1 keeps its identity. In other words, any number that is multiplied by 1 remains the same e.g. 32×1=32. (ii) Identity Property of Addition (Zero Property of Addition). When you add zero to any number the sum is that number. Example: 320 + 0 = 320. (iii) Zero Property of Multiplication. The product of any number multiplied by zero is zero. Example: 820 × 0 = 0.