Unitizing

Unitizing is actually historic in learning of mathematics. It is a rational operation that helps to understand and solve complex mathematical jobs by separating classifying the set involved into units. Unitizing is grouping of a known number utilise in tallying quantities. It is useful in rationality the range as intimately as developing counting strategies (Wright, Leeson & Geake, 2002). In adjunct, unitizing is very useful in perceptiveness and developing the meaning of division as well as multiplication of both natural poesy and fractions.Unitizing is used in quite umteen settings in mathematical objects. These settings include geometry, algebra, measurements, number and trading operations and in selective information analysis and probability. In geometry, unitizing is very important in visualizing changes, in profit or multiplication and in developing the ability to reason, predict and represent knowledge appropriately. Unitizing is withal very useful in algebr a, whither it is applied in both structural and procedural algebra. Procedural algebra is how to solve a paradox where numerical jimmys to solve algebraic equations are assigned, for instance knock x if y=7 in 32-4y=20 Here, 32-4(7) =20 32 28 = 20 32 = 48 x2 = 48/3 = 16 x = 4 Unitizing here butt be applied in for instance giving the value of x, which toilet be given as 22 or 2+2. In this case 2 is unitizing. Structural algebra involves use of garner to manipulate algebraic expressions. In number and operations, unitizing facilitates the understanding numbers and representing them. It is also useful in understanding fractions, for instance 1/2 jackpot be create verbally as 1?2 or 1x ? Unitizing is very useful in understanding multiplication and division of natural numbers as well as fractions.For instance, 2 x 4=8, fundament better be understood through learning many modes of approaching the problem. It can also be written as 2 x (2) (2) = (2) (4) Or as 2 x (2) (2) = (2) (2) (2). Unitizing 2 simplifies the understanding of the problem. More complex values can also be used such as 4 x 16=64 this can be better understood by unitizing 4 such that the problem is represented as 4x (4) (4) = (4) (4) (4) Developing understanding of division is also very much facilitated by the knowledge of unitizing.For instance, in determining the number of 8s that are in four hundred, division should be performed as follows 400/8 = 50, here 8 is unitizing To get to understand this better, simpler figures than 400 should be used but still the value of the numbers should be restored. This can only be acquired through unitizing and it can be as follows, 800/2 ? 8 2 can be unitizing such that 240/2 ?(2) (2) (2) and this simplifies the problem. piece 2 Unitizing is very important since it simplifies mathematical operations and facilitates understanding of the operations.It is important since it helps in development of deep and relevant reasoning in particular when the uniti zing value is being determined. Unitizing is so important since it facilitates the understanding of mathematical objects such as number and operations, in particular in fractions, ratios and proportions. Unitizing helps in performing mathematical operations task with a lot of flexibility and confidence. Students should always be further to institutionalise unitizing in all their mathematical activities.Failure for the students to unitize leads to in operation(p) with too complex values and hence difficulties arise in exhausting to solve the problems. Operating with large numbers homogeneous for example multiplying cxxv and 216 is quite hectic but if unitizing is applied, the operation becomes very easy and speed in generating the answer is increased. Section 3 Students frequently use unitizing especially in addition problems using the procedure of whole number, for instance, 8 + 14 = 22 Can also be approached through unitizing such that 8 + (7+ 7) = 22 nitizing by using 7 can be unspoilt by the students. Students are also using unitizing in understanding part-whole concepts. For instance, students shake used unitizing to be able to arrive at answers concerning fractions like, ? + ?. This can written as ? + ? . ? whereby unitizing is through with(p) by ? However, unitizing may non be done on some operations for instance those that originate from mathematical objects like measurement (Anghileri, & Julia 2001). This is a key concept in maths especially for the appreciation of invariance of length and angle measure.Students should not unitize in measuring angles since the size of the angle does not change. Similarly, the length measure does not change unless the size of what is being measured changes students also are ineffectual to use unitizing in probability and data analysis especially when the problems are on formulation of questions that can be addressed with data and collect, rise and display relevant data to answer them. Section 4 Students shou ld be posed with a lot of contexts and opportunities as well as representations that go out facilitate their unitizing.Many geometrical as well as algebraic problems should be provided to the students and they should be framed in such a way that unitizing is encouraged. Problems that require comparisons and representations by variables as well as these that require practice of conceptual understanding such as addition and multiplication of fractions should be given to the students. This improves the students ability for unitizing, something that facilitates their solving strategies. Representations should be encouraged among students since it is through this that they go out be able to organize, record and also communicate mathematical ideas. result Unitizing is a very important mental function that is highly applicable in mathematics. It improves efficiency in solving mathematical problems. It helps students to develop a deeper meaning and understanding of mathematical operations such as multiplication, addition and division. It also enables students to develop diverse and applicable counting strategies as well as conceptual understanding. Therefore. Unitizing should highly be encouraged among the students for better work in their solving of problems.