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Enhancing Mathematical Learning Skills with Enterprise Skills

In this lesson, we aim to enhance our mathematical learning skills by accurately calculating the area of a trapezium. We will also explore real-life cross/curricular links and develop enterprise skills. Join us on our learning journey!

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Enhancing Mathematical Learning Skills with Enterprise Skills

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  1. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: • Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately calculate the area of a trapezium. (Level 6) AUTHOR www.mistrymaths.co.uk

  2. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen LEARNING JOURNEY Enterprise Skills Which ones are you using?

  3. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen BRAIN IN GEAR Enterprise Skills Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Parallelogram Vertical Perpendicular EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

  4. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Work out the following: 1) Work out the area of the shape below: 26747 ÷ 7 5.4 x 6.2 (a) (b) x 5 4 3 2 0 8 1 4m 7 2 6 7 4 7 5 1 2 2 6 3 3 4 0 A 9cm 0 3821 1 2 3 0 8 11m 4 8 33.48 2m B (c) 13m Area and perimeter: Area of rectangle A = length x width 12cm Area of rectangle A = 9 x 4 2 2 2 Area of rectangle A = 36m Area of compound shape = 62m Area of rectangle B = 26m 2 = 72cm 6cm 6cm Area of rectangle B = length x width Area of rectangle B = 13 x 2 12cm Area = 12 x 6 Area of compound shape = 36 + 26 12 + 6 + 12 + 6 Perimeter = = 36cm

  5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM TASK As team workers use your enterprise skills to find the connection between the area of two trapezia and the area of one parallelogram. a a a AREA OF PARALLELOGRAM = Base x Vertical Height AREA OF PARALLELOGRAM BELOW = (a + b) x h h The area of a trapezium is half this shape h h h b b b b PARALLELOGRAM

  6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM EXAMPLES a 3cm 2) 1) h 4cm b a 7m 7m 5m 5m b h 5cm Work out the area of the trapezium Work out the area of the trapezium 10m 10m 1 1 Area of a trapezium = (a + b) x h Area of a trapezium = (a + b) x h ( ) ( ) x x Area of a trapezium = Area of a trapezium = 10 + + 3 5 5 7 4 2 2 1 1 ) ) ( x 4 ( x 10 8 12 Area of a trapezium = Area of a trapezium = 1 1 2 2 2 2 x x = = 2 2 16cm 60m 4 6 Area of a trapezium = 4 Area of a trapezium = 10

  7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM TASK 1 (LEVEL 6) 1) Work out the areas of the trapezia below: 4cm 7cm 8m 11cm (a) (b) (c) 12m 15m 7cm 11cm 9cm 10m 5cm 6cm 2 2 2 2 2 25cm 88.5m 115m 5600m 81cm 13.5m (d) (e) 40m 10m 80m 100m 4.2m

  8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM EXTENSION 1 (LEVEL 6) (a) Find the area of the door AREA OF RECTANGLE = LENGTH X WIDTH AREA OF RECTANGLE = 2 X 1 AREA OF RECTANGLE = (b) Find the area of the brick wall 2m 4m 2 2 1 ( x ) Area of a trapezium = + 2.5 3.5 2 2 1 ) ( x 2 6 Area of a trapezium = 2 Area of a trapezium = AREA OF BRICK WALL = 6 - 2 AREA OF BRICK WALL = 2 6m

  9. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM EXTENSION 2 (LEVEL 6) Find the area of the mathematical stencil with shapes cut out 6cm 3cm 3cm 3cm 3cm 10cm 4cm 6cm 6cm 2 2 2 2 2 2 250cm 9cm 27cm 18cm 6cm 18cm 172cm 2 3cm 3cm 12cm 25cm AREA OF STENCIL = Area of full uncut stencil – Area of the five shapes inside 250 – 9 – 18 – 6 – 18 - 27 AREA OF STENCIL = AREA OF STENCIL =

  10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM MINI-PLENARY – AREA OF A TRAPEZIUM DANCING (LEVEL 6) LEFT FOOT - TENS RIGHT FOOT - UNITS QUESTION 2cm 5cm 4cm AREA = ?

  11. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM MINI-PLENARY – AREA OF A TRAPEZIUM DANCING (LEVEL 6) LEFT FOOT - TENS RIGHT FOOT - UNITS QUESTION 3cm 3cm 5cm AREA = ?

  12. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM MINI-PLENARY – AREA OF A TRAPEZIUM DANCING (LEVEL 6) LEFT FOOT - TENS RIGHT FOOT - UNITS QUESTION 1cm 7cm 9cm AREA = ?

  13. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM MINI-PLENARY – AREA OF A TRAPEZIUM DANCING (LEVEL 6) LEFT FOOT - TENS RIGHT FOOT - UNITS QUESTION 6m 2cm 10m AREA = ?

  14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM MINI-PLENARY – AREA OF A TRAPEZIUM DANCING (LEVEL 6) LEFT FOOT - TENS RIGHT FOOT - UNITS QUESTION 6m 8cm 12m AREA = ?

  15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen • LINK BACK TO OBJECTIVES • Accurately calculate the area of a trapezium. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  16. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 3cm 4cm 2 20cm 7cm AREA = ?

  17. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 4cm 11cm 2 33cm 2cm AREA = ?

  18. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 7cm 2 13cm 80cm 8cm AREA = ?

  19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 6m 2 49m 7m 8m AREA = ?

  20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? AREA OF TRAPEZIUM PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT 2 72m AREA = ?

  21. What level 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 finding the area of a trapezium. It can be a skill or a reflection, or something else that might be prominent in your brain.

  22. 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

  23. 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

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