Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills LESSON OBJECTIVES Responsible Citizen Team Worker Which ones are you using? Always aim high! We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills? ) - Accurately calculate the area and perimeter of shapes involving algebra. (Levels 4 -6) Where are we in our journey? AUTHOR www. mistrymaths. co. uk Real life cross/curricular links?

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

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

Positive Thinker Creative Entrepreneur Enterprise Skills TASK 1) Decrease 90 ml by 5%. 10% = 9 ml 5% = 4. 5 ml ÷ 2 Independent Learner STARTER 90 ml – 4. 5 ml = 85. 5 ml 2)Expand simplify: 2(b + 3) + 5(b + 4) 2 b + 6 + 5 b + 20 = 7 b + 26 following: 3)Work. X 2 out the X 3 (a) 5 - 3 6 X 2 4 10 12 = - 9 12 X 3 (b) 7 ÷ 8 = 9 2 2 7 x 9 8 14 7 = 36 72 1 = 12 4) Work out the following: x 300 seconds x 5 6 of 5 minutes of £ 88 (b) 6 11 = ÷ = £ 48 ÷ = 250 seconds Reflective Learner Responsible Citizen Team Worker Which ones are you using? EXTENSION 1) Find the nth term and 20 th term of: 8, 4, 0, -4, …. . -4 -4 n + 12 20 th Term = -4 x 20 + 12 20 th Term = -68 2) Use a calculator to write the following as percentages: (a) 22 out of 60 22 X 100 = 36. 7% (1 d. p. ) 60 (b) 38 out of 164 38 X 100 = 23. 2% (1 d. p. ) 164

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. ALGEBRA WITH SHAPES FORMULAE FOR A RECTANGLE Responsible Citizen Team Worker Which ones are you using? Area of a rectangle = length x width Perimeter = length + width + length + width

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. ALGEBRA WITH SHAPES EXAMPLES Responsible Citizen Team Worker Which ones are you using? 1) Find the area and perimeter of the rectangles below: (a) (c) (b)2 g b 6 c p 9 c 4 h AREA = 9 c x 6 c = 54 c 2 AREA = p x b = bp AREA = 4 h x 2 g = 8 gh PERIMETER = b + p + b + p PERIMETER = 4 h+2 g+4 h+ 2 g = 2 b + 2 p = 8 h + 4 g PERIMETER = 9 c+6 c+9 c+6 c = 30 c 2) Find the total area of the shape below: b AREA OF A = a x b = ab AREA OF B = (8 – b) x 2 8 b a AREA OF B = 2(8 – b) 2 cm AREA OF B = 16 - 2 b 2 ab TOTAL AREA = 16 – 2 b cm + 8 cm A B

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. ALGEBRA WITH SHAPES Responsible Citizen Team Worker Which ones are you using? TASK 1 (LEVEL 4) 1) Find the area and perimeter of the rectangles below: (a) (c) (b) g 5 f s 8 e h t AREA = 8 e x 5 f = 40 ef AREA = h x g = gh AREA = s x t = st P = 8 e+5 f +8 e+ 5 f PERIMETER = g + h + g + h PERIMETER = s + t + s + t = 2 g + 2 h = 2 s + 2 t = 16 e + 10 f (d) (f)7 (e)8 b 9 m w 4 n 12 w 10 b AREA = 4 n x 9 m = 36 mn AREA = 10 bx 8 b = 80 b 2 AREA =12 wx 7 w = 84 w 2 P = 8 b+ 10 b+ 8 b + 10 b P =7 w+12 w +7 w + 12 w P = 9 m+4 n+9 m+4 n = 36 b = 38 w = 18 m + 8 n

Independent Learner Reflective Learner Enterprise Skills. ALGEBRA WITH SHAPES TASK 2 (LEVEL 4) 1) Find the perimeter of the shapes below: (a) (b)2 d 3 a 4 a P = 2 d + 3 a + 2 d + 3 a P = 5 a + k - 3 a P = 6 a + 4 d P = 7 a + k p 4 t + +k 2 p 3 k (f) 4 n 4 x - y 3 t 2 k 3 n P = 4 x + 2 y + 4 x - y P = 8 x + 3 y P = 6 p + 11 t +n n 2 p (e) 3 t 2 y 5 a 5 a k – 3 a p 2 y (c) t+ 4 x (d) Which ones are you using? 3 a P = 3 a + 4 a + 3 a + 4 a P = 14 a Team Worker Responsible Citizen +2 Creative Entrepreneur P = 9 k + 10 n 3 k Positive Thinker

Positive Thinker Independent Learner Creative Entrepreneur Reflective Learner Which ones are you using? Enterprise Skills. ALGEBRA WITH SHAPES TASK 3 (LEVEL 6) 1) Find the total area of the shapes below: 7 cm (b) (a) A 2 cm B 7 -k AREA OF A = 2(7 -k) AREA OF A = 14 -2 k AREA OF B = kw TOTAL AREA =14 -2 k n k + kw cm² (c) m w A f-5 B g f 9 x 5 AREA OF A = AREA OF B = g(f-5) AREA OF A =45 AREA OF B = fg-5 g TOTAL AREA =45 + fg – 5 g cm² d 10 - n B 5 cm 9 cm (d) A Team Worker Responsible Citizen 3 cm p p(d-8) d-8 56 8 cm 10 cm AREA OF A = m x n AREA OF B = 3(10 -n) AREA OF A =mn AREA OF B = 30 -3 n TOTAL AREA =dp - 8 p TOTAL AREA =mn + 30 – 3 n cm² 7 cm + 56 cm²

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. ALGEBRA WITH SHAPES Responsible Citizen Team Worker Which ones are you using? EXTENSION (LEVEL 6) 1) Find the area of each the rectangles labelled below: 3 c 6 cm m 4 -y A B y C D AREA OF A = 6(4 -y) AREA OF A = 24 -6 ycm² 4 c m 9 c m AREA OF C = 6 ycm² AREA OF B = 3(4 -y) AREA OF B = 12 -3 ycm²AREA OF D = 3 ycm² 2) How can you quickly check if the total area answer is correct? Area of big rectangle = 9 cm x 4 cm = 36 cm²

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. ALGEBRA WITH SHAPES MINI-PLENARY ACTIVITY – ROOM FLOOR PLAN using? Work out the total area of the bedroom by using the floor plan on the left. AREA OF A = 16 A x y = 16 yft² AREA OF B = 10(17 – y) = 170 – 10 yft² TOTAL AREA =16 y+ 170 – 10 y TOTAL AREA =6 y + 170 ft² 17 - y B 10 ft

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. ALGEBRA WITH SHAPES PLENARY ACTIVITY – ASSESSING UNDERSTANDING using? y+3 A y B y 4 y + 2 Work out the total area of the shape AREA OF A = y(y + 3) AREA OF A = y² + 3 y AREA OF B = y(4 y + 2) AREA OF B = 4 y² + 2 y TOTAL AREA = y² + 3 y + 4 y² + 2 y TOTAL AREA =5 y² + 5 y

What have you learnt? Draw your brain In your brain, write or draw everything you can remember about area and perimeter involving algebra. It can be a skill or a reflection, or something else that might be prominent in your brain. Where are we in our journey? What level are we working at?

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

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