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Enhancing Mathematical Learning Skills with Compound Shapes

This lesson focuses on enhancing mathematical learning skills by accurately calculating the area and perimeter of compound shapes. Students will work on geometric calculations and develop enterprise skills through creative problem-solving.

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Enhancing Mathematical Learning Skills with Compound Shapes

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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 and perimeter of compound shapes. (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: Units Length Width 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 area and perimeter for each of the rectangles below: 1) Write down the prime factors of 45 4cm (a) 45 2 1 3 4 Area = 6 5 7 8 3cm 3cm 9 5 Perimeter = 9 10 11 12 4 + 3 + 4 + 3 4cm 3 3 = 14cm (b) 8cm 2 2 12cm = 40cm ANSWER = 3 X 3 X 5 5cm 5cm 2 ANSWER = 3 X 5 8cm Area = 8 x 5 8 + 5 + 8 + 5 Perimeter = = 26cm

  5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? COMPOUND SHAPES AREA OF A RECTANGLE = LENGTH X WIDTH EXAMPLES Calculate the area of the compound shapes below: 2) 3m 1) 7cm A 2cm A 6m 8m B 4cm 2m B 4cm 8m Area of rectangle A = length x width Area of rectangle A = length x width Area of rectangle A = 6 x 3 Area of rectangle A = 7 x 2 Area of rectangle B = length x width Area of rectangle B = length x width Area of rectangle B = 8 x 2 Area of rectangle B = 4 x 4

  6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? COMPOUND SHAPES TASK (LEVEL 6) 1) Work out the areas and perimeters for the compound shapes below: (b) (a) (c) (d) 1m 7cm EXTENSION 1 (LEVEL 6) 1) Work out the perimeters for the compound shapes above. P = 32cm P = 40cm P = 60cm P = 16m (d) (a) (b) (c)

  7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen A Triangle B Rectangle 1m Enterprise Skills Which ones are you using? COMPOUND SHAPES EXTENSION 2 (LEVEL 6) 1) Work out the area for the shape below: A 10 x 1 2 = 5m2 7m 6m B 10m 10m 10 x 6 = 60m2 TOTAL AREA = 65m2

  8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? COMPOUND SHAPES MINI-PLENARY – SPOT THE MISTAKE Harold finds the area of the compound shape below: A B 4cm Area of compound shape = Area of A + Area of B Area of compound shape = 10 x 4 + 4 x 5 Area of compound shape = 40 + 20 2 Area of compound shape = 60cm

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

  10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? COMPOUND SHAPES PLENARY ACTIVITY – FUNCTIONAL MATHS QUESTION (LEVEL 6) A garden is in the shape of a rectangle measuring 16m by 12m. Calculate the area of the grass. GRASS 12m Flower Bed 3m Area of grass = Area of garden - Area of flower bed Area of grass = 16 x 12 - 6 x 3 6m Area of grass = 192 - 18 2 Area of grass = 174m 16m

  11. 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 and perimeter of compound shapes. 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

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