![]() The different types of diagrams each have a specific feature that defines the way they need to be drawn and interpretted. I n many ways this is similar to the way we look at the plans for a house or a Lego kit where we use those plans to create that object exactly as intended. We need these diagrams because molecules typically have 3D shapes associated with them and we need to be able to accurately depict those 3D shapes on a 2D page (paper or screen). That will be decieved by your poor diagrams is you! Your instructor(s) will beĪble to tell instantly that you are struggling, don't know or are trying to hide that you don't really know. It will likely require that you maximise your artistic skills! The only person So she is correct that the prime numbers must be in the first or the fifth column.Different diagrams that are used to represent the different conformations isĪ very important skill to acquire. The third column keeps adding 6s, so it is adding multiples of 3 to multiples of 3, so the numbers will always be divisible by 3, so further numbers in this column cannot be prime. We should list them as specified in the question, and we can highlight the prime numbers: 1īecause we know that no even numbers other than 2 are prime, we know that further prime numbers cannot be in the second, fourth or sixth column. Here, listing out numbers, especially for the first few is going to be helpful. For part (ii) we simply subtract the numbers above to give 89.25-71.25 = 18cm 2. So the limits of accuracy are [71.25,89.25) cm 2.įor (b), we can see from the sketches that the difference between the minimum and the maximum values is 1cm in the case of both the width and the lenght. We can now answer the questions, so (a) the smallest possible area is 7.5 x 9.5 = 71.25cm 2 and the largest “possible” area is 8.5 x 10.5 = 89.25cm 2. It can then be helpful to draw sketches of the smallest possible rectangle and the largest possible rectangle: You could also use a 2-way table as shown below:ĭrawing a rough sketch of the rectangle labelled with the boundaries of its side lengths can really help us to visualise the situation here: As shown, you actually don’t need to finish the diagram in order to conclude how many combinations there are: ![]() One way to tackle this would be to write out a list, being systematic to ensure that all combinations are considered.Īnother is to draw out a diagram like the one below. Masha says that if she writes out numbers in rows of six then all of the prime numbers will either be in the column that has 1 at the top, or they will be in the column that has 5 at the top. What is the difference between the minimum and maximum values for:.What are the limits of accuracy for the area of the rectangle?.To the nearest centimetre, the length and width of a rectangle is 10cm and 8cm. How many different combined meals can they choose between? letters for vertices of a polygon) are useful in a diagram to help us be able to refer to items of interest.Ī diagram can be updated as we find out new information.Įxamples of using a diagram to tackle a problemįirst we will read all three examples and have a quick think about them and then we will look at how a diagram can help us with each one:Ī restaurant offers a “business lunch” where people can choose either fish or chicken or vegetables for their main course, accompanied by a side portion of rice, chips, noodles or salad. A diagram can be a rough sketch, a number line, a tree diagram or two-way table, a Venn diagram, or any other drawing which helps us to tackle a problem. In mathematics, diagrams are often a useful way of organising information and help us to see relationships.
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