1. We are learning to: - Finding connections between different words. (Which PLT skills?) -Accurately calculate the circumference of a circle. (Grades D) Always aim high! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links? www.mistrymaths.co.uk

2. BRAIN IN GEAR Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills Work out the following Mathematical anagrams: TASK EXTENSION Develop your own Mathematical anagrams as above as a creative thinker. OCHDR TAGTENN CAR EXAMPLE DITDIONA can be rearranged to make ADDITION Chord Tangent Arc

3. NAMING CIRCLE PARTS Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills TASK CHORD DIAMETER SECTOR SEGMENT RADIUS CIRCUMFERENCE TANGENT MATCH THE CARDS AT THE BOTTOM WITH THE EMPTY BOXES

4. NAMING CIRCLE PARTS ANSWERS Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills CHORD DIAMETER SECTOR SEGMENT RADIUS CIRCUMFERENCE TANGENT

5. STARTER Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills TASK 1) EXTENSION Estimate the area below: 2) 3) Find the area of the triangle below: 10cm Area = base x vertical height 2 1) Estimate the area below: 6cm 4) Find the area of the compound shape below: 6cm 4cm 20cm Rectangle A Rectangle B Area of rectangle A = length x width Area of rectangle A = 6cm x 4cm Area of rectangle A = 24cm 2 Area of rectangle B = length x width Area of rectangle B = 20cm x 6cm Area of rectangle B = 120cm 2 TOTAL AREA = 144cm 2 Estimated Area = 2 10cm Estimated Area = 2 11cm Area = 10 x 6 2 Area = 60 2 Area = 30cm 2 Count the approximate amount of shaded squares Find the area shaded black below: 10cm 15cm 8cm 5cm Area of rectangle = length x width Area of rectangle = 15cm x 10cm Area of rectangle = 150cm 2 Area of parallelogram = base x height Area of parallelogram = 8cm x 5cm Area of parallelogram = 40cm 2 BLACK AREA = 150 - 40 BLACK AREA = 110cm 2

6. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? CIRCUMFERENCE OF CIRCLES EXAMPLES (a) (b) Find the circumference of the circle: diameter 8cm 11m Find the circumference of the circle: Circumference of a circle = 3.14 x 8 Circumference of a circle =25.1 cm radius (1d.p.) Circumference of a circle = 3.14 x 22 Circumference of a circle =69.1 m (1d.p.)

7. Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? TASK (GRADE D) EXTENSION (GRADE C) 1) 2) 3) Calculate the circumference of the circles: 3cm 7cm 8.5cm (a) (b)(c) Calculate the circumference of the circles: 2cm6cm2.5cm (a) (b)(c) Find the circumference of one face of the following coins. Give your answers to one decimal place. a) 1p coin, diameter 2 cm b) 2p coin, diameter 6 cm c) 5p coin, radius 0.85 cm d) 10p coin, radius 1.2 cm 9cm 15cm (a) (b) Find the perimeter of the semi-circles: 3cm 12cm (c) (d) 2) Calculate the perimeter of the quadrant below: CIRCUMFERENCE OF CIRCLES

8. 3cm Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY A point B moves so that it is always a distance of 3cm from a fixed point A. Draw the locus and calculate the circumference. CIRCUMFERENCE OF CIRCLES Circumference of a circle = 3.14 x 6 Circumference of a circle =18.8 cm (1d.p.)

9. DISCOVERY Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner Which ones are you using?PLT Skills LINK BACK TO OBJECTIVES - Accurately calculate the circumference of a circle. What grade are we working at?

10. PLENARY ACTIVITY FUNCTIONAL MATHS QUESTION (GRADE D) In a race with four runners, each runner starts and finishes on the same inner circle of their lane after completing one circuit. How much further than A does D have to run? The diagram represents a race track on a school playing field. The diameter of each circle is shown. Circumference of A = 3.14 x 60 Circumference of A =188.4 m Circumference of D = 3.14 x 66 Circumference of D = 207.24 m Extra Distance = 207.24m – 188.4m Extra Distance = 18.8m (1d.p.)

11. Draw your brain What have you learnt? In your brain, write or draw everything you can remember about calculating the circumference of circles. It can be a skill or a reflection, or something else that might be prominent in your brain. What grade are we working at? Where are we in our journey?

12. . How well do you understand the task? I don’t understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity www.mistrymaths.co.uk

13. SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? www.mistrymaths.co.uk