Lesson Plan – Lesson 4 Circumference 2 Objectives and Habits of Mind •To identify the radius, diameter and circumference of a circle (Level 3/ 4) •To find a rough estimate for the circumference of a circle (Level 4/5) •To find the circumference of a circle and the perimeter of a semi circle using Pi (Level 6) •To work well in a group, listening attentively and taking on different roles when needed. •To negotiate and follow ground rules, to ensure fairness and cooperation when working with others. •To identify the best information to help complete a task and put it into my own words. Keywords Radius, Diameter, Circumference, Pi Mental and Oral Starter Using the mini white boards ask pupils the circumference questions to recap what they learnt last lesson. Main Activity Task One – Pupils to work in pairs to complete the missing measurements in the table. They then share their working out and answers with the other pair in the group. Task Two – In groups pupils work on the London Eye questions. Plenary Pupils to reflect on the success criteria. LO To calculate the circumference of circles and semi circles. Perimeter, Circumference, Radius, Diameter, Pi Starter Activity Mini white boards ready. RAG 13/04/2015 Level 3 4 5 6 7 /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. I am starting the lesson on level _____________________ By the end of this lesson I want to be able to _____________________ When we watched the dots move we realised that the circumference is not exactly 3 x bigger than the diameter. Once across twice across three times across and a bit further! The Circumference is a bit more than 3 times bigger it is x bigger. Without using a calculator, roughly how big is the Circumference of this circle? Using a calculator give me a more accurate answer. Without using a calculator, roughly how big is the Circumference of this circle? Using a calculator give me a more accurate answer. Without using a calculator, roughly how big is the Circumference of this circle? Using a calculator give me a more accurate answer. Without using a calculator, roughly how big is the Circumference of this circle? Using a calculator give me a more accurate answer. If the Circumference is 90m, without using a calculator tell me roughly how big the diameter is ? Using a calculator give me a more accurate answer. How could we find the perimeter of this semi-circle 13 cm Task Specific Roles Facilitator • Makes sure that the task is completed on time. • Makes sure that all members of the group have a circle or semi circle to calculate the perimeter / circumference of. Resource Manager Learning Coordinator Recorder / Reporter • Makes sure that all members of the group know how to find a rough estimate for circumference of a circle. Makes sure that all working out is recorded. • Can ask the teacher for help but only when all members of the group have been consulted. • Makes sure that the group has all the necessary equipment. Maths – Learning Outcomes Level 3 - 4 To identify the radius, diameter and circumference of a circle. Level 4 - 5 To know that the circumference of a circle is roughly 3 x bigger than the diameter and to use this to find a rough estimate for the circumference of a circle. Level 6 – 7 To find the circumference of circles and semi-circle using Pi (Level 6) We will be using these Habits of Mind •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. C B A 6cm 25.12cm Using pi = 3.14 In your groups complete the table below. Make sure that you discuss your methods with one another. Circle / semi circle Radius Diameter D Circumference / Perimeter 14 cm E 130 cm Task Two The London Eye is 135 metres tall. How far do you travel if the wheel turns once? You must show all your working out. The wheel turns 50 times a day. How far does it go in a year? Maths Outcomes – Success Criteria Level 3 - 4 I identified the radius, diameter and circumference of circles. Level 4 - 5 I know that the circumference of a circle is roughly 3 x bigger than the diameter and I used this to find a rough estimate for the circumference of a circle. Level 6 – 7 I found the circumference of circles and semi-circles using Pi (Level 6) We will be using these Habits of Mind •I worked well in a group, listening attentively and taking on different roles when needed. •I negotiated and follow ground rules, to ensure fairness and cooperation when working with others.