Exploring Circles and Semi-Circles: PLT Skills and Math Anagrams

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

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

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

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

5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK 1) 2) 3) Write the formula for the area of a parallelogram. Write the formula for the area of a triangle. Write the formula for the area of a rectangle. length vertical height vertical height Rectangle width Parallelogram Triangle base base Area = length x width Area = base x vertical height base x vertical height Area = 2 4) Find the area of the compound shape below: 3cm Area of rectangle A = length x width Rectangle A Area of rectangle A = 3cm x 2cm 2cm 2 2 2 TOTAL AREA = 36cm Area of rectangle A = 6cm Area of rectangle B = 30cm Area of rectangle B = length x width Rectangle B 3cm Area of a trapezium = x(a + b) x vertical height Area of rectangle B = 10cm x 3cm 10cm EXTENSION Area of a trapezium = x (8 + 6) x 2 Find the area of the trapezium to the left. 6cm 1) 2cm Area of a trapezium = x 28 8cm 2 Area of a trapezium = 14cm

6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills AREA OF CIRCLES AND SEMI-CIRCLES radius EXAMPLES (b) (a) Find the area of the circle: Find the area of the circle: 4cm 14m diameter x x x x Area of circle = 7 3.14 7 Area of circle = 4 3.14 4 (1d.p.) Area of circle = 153.9 Area of circle = 50.2 (1d.p.) 2 2 2 cm m cm (c) Find the area of the semi-circle: Area of semi-circle = Area of semi-circle = 2 2 20cm Area of semi-circle = 157

7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills AREA OF CIRCLES AND SEMI-CIRCLES TASK (GRADE D) EXTENSION (GRADE C) 1) Calculate the area of the circles below: 1) Calculate the area of the semi-circles below: (a) (b) (c) (b) (a) 9cm 13cm 6cm 1.5cm 2cm 3cm 8cm 20cm 7cm 12cm (d) Calculate the area of the circles below: (c) 2) (a) (b) (c) Calculate the area of the quadrant below: 2) 3) Find the area of one face of the following coins. Give your answers to 1 decimal place. a) 1p coin, radius 1 cm b) 2p coin, radius 1.3 cm c) 5p coin, diameter 1.7 cm d) 10p coin, diameter 2.4 cm

8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills AREA OF CIRCLES AND SEMI-CIRCLES MINI-PLENARY A point B moves so that it is always a distance of 5cm from a fixed point A. Draw the locus and calculate the area. x x Area of circle = 5 3.14 5 Area of circle = 78.5 5cm 2 cm

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

10. PLENARY ACTIVITY EXAM STYLE QUESTION (GRADE C) Calculate the area shaded black. x x x x Area of big circle = 5 3.14 5 Area of small circle = 3 3.14 3 2 2 2 cm cm cm Area of big circle = 78.5 Area of small circle = 28.26 - (1d.p.) 78.5 = Area shaded black = 50.2 28.26

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

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

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