Lesson Plan – Lesson 4 Circumference Mental and Oral Starter Pupils to use the mini white boards to round numbers to one decimal place. Main Activity Pupils

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  • Slide 1
  • Lesson Plan Lesson 4 Circumference Mental and Oral Starter Pupils to use the mini white boards to round numbers to one decimal place. Main Activity Pupils to work in groups to measure the diameter and circumference of tins to discoverer the relationship between the diameter of a circle and its circumference. First allow time for each group to collect the measurements of each of the three tins. Then collect the class results to ensure that all pupils have accurate measurements. Then give pupils the table with the previously collected results and get them to add the correct measurements for the tins. Ask pupils to calculate how many times bigger each circumference is than the diameter. Introduce the concept of Pi. Pupils to use mini whiteboards to give rough estimates and then more accurate estimates for the circumference of different circles. Then pupils to work in groups to complete the missing measurements in the table. Plenary Probing Question for mini white boards - What is the minimum information you need to be able to find the area of a circle. Objectives and Habits of Mind To accurately measure using a tape measure (Level 3) To estimate the Circumference of a circle by multiplying the diameter by 3 (Level 4) To estimate the Circumference of a circle by multiplying the diameter by Pi(Level 5) To calculate the radius, diameter or circumference of circles and semi circles when given one other measurement. (Level 6) I can work well in a group, listening attentively and taking on different roles when needed. I can negotiate and follow ground rules, to ensure fairness and cooperation when working with others. Keywords Radius, Circumference, Diameter, Pi
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  • RAG Key Words : Radius, Diameter, Circumference, Pi LO To calculate the perimeter (circumference) of a circle. 02/08/2015
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  • Level34567 /8 Shape Space Measure I can accurately measure using a tape measure. I can roughly estimate the (circumferenc e) of a circle. I can more accurately estimate the perimeter (circumference ) of a circle. I can calculate the radius, diameter or circumference of circles and semi circles when given one other measurement. I can calculate volumes and surface area of cylinders. My target level is ________ Today we are learning I am starting the lesson on level _____________________ By the end of this lesson I want to be able to _____________________
  • Slide 4
  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 2.3567 2.4
  • Slide 5
  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 12.3519 12.4
  • Slide 6
  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 22.8915 22.9
  • Slide 7
  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 25.6781 25.7
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  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 546.7899 546.8
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  • Starter Activity Mini white boards ready!!!!!!!! Round this number to 1 decimal place. 0.12572 0.1
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  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal place. 3.5689 3.6
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  • Starter Activity Mini white boards ready!!!!!!!! Round this numbers to 1 decimal places. 26.9999 27.0
  • Slide 12
  • In your books sketch a circle and label the parts using the key words.
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  • People first realised that there is a connection between the radius of a circle and its the circumference when they realised that the longer the piece of string they used to tether their goats, the bigger the circular patch of grass they could eat.
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  • Eratosthenes was born 194 years BC, long before calculators, space ships and computers where invented and yet he was able to calculate the circumference of the Earth amazingly accurately.
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  • In todays lesson your task is to investigate the relationship between the diameter of the circle and the circumference. In other words How many times bigger is the Circumference than the Diameter?
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  • You have 3 Minutes! In your groups use the tape measures provided to measure:- a) the diameter b) the circumference of each tin and record the measurements in the table provided.
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  • TinDiameterCircumference Sweet Corn Tuna Beans TinDiameterCircumference Sweet Corn Tuna Beans
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  • Baked BeansDiameterCircumference To check the accuracy of your measurements we are going to collect the class results.
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  • TunaDiameterCircumference To check the accuracy of your measurements we are going to collect the class results.
  • Slide 20
  • Sweet CornDiameterCircumference To check the accuracy of your measurements we are going to collect the class results.
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  • ObjectDiameterCircumferenceHow many times bigger the Circumference is than the diameter. Clock20 cm62.8 cm Bin28 cm87.9 cm Glue3 cm9.4cm Sweet Corn Tuna Beans Add the class results to these results that I collected earlier. As a group decide how to work out how many times bigger the circumference of each circle is than the diameter. As a group discuss what you notice about these results.
  • Slide 22
  • The blue dot and the red dot are travelling at the same speed. How many times do you think the red dot will travel across the circle while the blue dot travels around the edge? Once across twice across So the Circumference of the circle is a little bit more than 3x bigger than the diameter. three times across and a bit further!
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  • The symbol is the Greek letter pi. It represents how many times bigger the circumference of any circle is than its diameter.
  • Slide 24
  • The symbol represents 3.14159......... To one decimal place the Circumference of any circle is 3.14 times bigger than the diameter.
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  • Mini White Boards Ready.......
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  • Roughly how big is the Circumference of this circle ? 6cm How can we be more accurate?
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  • Roughly how big is the Circumference of this circle ? 5cm How can we be more accurate?
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  • Roughly how big is the Circumference of this circle ? 1000cm How can we be more accurate?
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  • Roughly how big is the Circumference of this circle ? 20cm How can we be more accurate?
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  • If the Circumference is 36m roughly how big is the diameter ? ? How can we be more accurate?
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  • j: e: w: n: o: a: m: i: 25.1212.5631.4 6.2818.8469.0862.8 28.2625.12! 3 1 5 8 4 11 10 9 In your groups find the circumferences of the circles and put the letters in the corresponding answer box.
  • Slide 32
  • Success Criteria Learning Outcomes I measured accurately using a tape measure (Level 3). I roughly estimated the circumference of circles by multiplying the diameters by 3 (Level 4). I estimated the circumference of circles by multiplying the diameter by Pi (Level 5). I calculated the radius, diameter or circumference of circles and semi circles using one of the other measurements (Level 6).
  • Slide 33
  • Plenary Probing Questions What is the minimum information you need to be able to find the Circumference of this circle?