Understanding Measurement Units and Comparisons
Explore the concept of comparing measurements in different units like centimeters and meters. Find explanations, examples, and proofs to understand how to make accurate comparisons between different units of measurement effectively.
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Presentation Transcript
Describing This is in the context of measurement, cm and m Sophie says, 50 cm is greater than 1 m. The numbers I need to use are 50 and 1. Is she correct? Explain your reasoning.
Explaining The measurements are different units because one is given in cm the other in m Sophie says, 50 cm is greater than 1 m. It is true that I will need to make both units of measurement the same for comparison Is she correct? Explain your reasoning. Recall of knowledge
Convincing The measurements are different units. I am convinced that cm are smaller than m. Sophie says, 50 cm is greater than 1 m. Is she correct? Explain your reasoning. I can prove that there are 100cm in a m. Recall of knowledge, 100cm = 1m
Justifying 100 cm = 1 m 50 = 1 2 m Sophie says, 50 cm is greater than 1 m. Model of proof Is she correct? Explain your reasoning. 1m 50cm
Expert Specialising 50cm is shorter than 100cm, which is equal to 1m. Examples that satisfy the statement 64 cm > 1 2 ? = 64 cm > 50 cm 78 cm < 1 m = 78 cm < 100 cm 105 cm > 1 m = 105 cm > 100 cm Sophie says, To compare any measurements given in different units must be converted to the same unit. 50 cm is greater than 1 m. Is she correct? Explain your reasoning. 100cm 50cm Generalising
Conjecturing All measurements convert from the larger unit to the smaller unit in order to compare them. Conjecturing: reasoning about mathematical relationships to develop statements that are tentatively thought to be true but are not known to be true (Lannin, Ellis & Elliott, 2011)
All measurements convert from the larger unit to the smaller unit in order to compare them. Offering proof that it is sometimes true Matching the equivalent measurements 70 100cm 7 cm 160mm Write the lengths in order of size starting with the shortest. Offering proof that it is true
