Area and Perimeter of a ParallelogramMany different ways to practise your skills finding the areas and perimeters of parallelograms. |
This is level 1. How many grid squares make up the areas of these parallelograms?
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. |
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." |
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Level 1 - Finding the areas of parallelograms by counting squares
Level 2 - Using the formula for finding the areas of parallelograms
Level 3 - Finding the perimeters of parallelograms
Level 4 - Finding the areas and perimeters of parallelograms by measuring lengths
Level 5 - Mixed questions including distractors
Level 6 - Problem solving including composite shapes and algebra
More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.
A parallelogram is a four-sided shapes with opposite sides of equal length.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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Transum,
Saturday, April 24, 2021
"The questions in the six levels of this of exercises range from the laughingly easy to the head-scratchingly hard. The last question of level 6 was adapted from one that appeared on a Senior Mathematical Challenge (SMC) paper.
The SMC is a 90-minute, multiple-choice competition from the UK Mathematics Trust aimed at students (Year 13 and below) across the UK. It encourages mathematical reasoning, precision of thought, and fluency in using basic mathematical techniques to solve interesting problems. The problems on the Senior Mathematical Challenge are designed to make students think. Most are accessible, yet still challenge those with more experience."
Mindy Kelly, Newark City Schools
Saturday, July 22, 2023
"The directions say to measure the side lengths to the nearest centimeter, then those side lengths to calculate area and perimeter. If you do that for the middle parallelogram, you get a base of 5 cm and height of 2 cm. The area should be listed as 10 square cm. It is only if you measure the side lengths to the nearest HALF cm that you come closer to the "correct" answer of 12 square cm, which should actually be 13 square cm when 12.5 (2.5 x 5) is rounded to the nearest whole number.
[Transum: Thanks for pointing out this issue Mindy. It is interesting that because of the rounding instruction a different value for the area is obtained depending on whether you use the horizontal line as the 'base' or choose to consider the sloped line as the 'base'. The software now marks either version as correct. Thanks again for taking the time to point this out. A great thing to discuss with students.]"