Pythagoras – Real-Life – Bingo Students should choose nine answers from the grid and place them randomly into a 3x3 square in their book. You may want to pause your display and choose questions according to difficulty during the game. Depending on time, students could win with a line, an X, or a ‘full house’ (all).

Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

BINGO! 45 54 23 82 37 12 76 25 91 Real-Life Pythagoras Problems

Choose your numbers… 48 3 33 15 4 27 121 17 37 16 14 119 43 74 12 72 Draw a 3x3 grid in your book.

How long is the diagonal? 𝑎2+𝑏2=𝑐2 How long is the diagonal? 54 m 108 m 1082+542=𝑐2 𝑐= 𝐴𝑁𝑆 = 121 m (not to scale)

𝑎2+𝑏2=𝑐2 4.5 m 15 m 152+4.52=𝑐2 𝑐= 𝐴𝑁𝑆 = 16 m How far away is the top of the tree? 4.5 m 15 m 152+4.52=𝑐2 𝑐= 𝐴𝑁𝑆 = 16 m (not to scale)

𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 42 inches 20 inches 622−452=𝑏2 𝑐= 𝐴𝑁𝑆 = 37 inches How wide is the TV? 𝑏2=𝑐2−𝑎2 42 inches 20 inches 622−452=𝑏2 𝑐= 𝐴𝑁𝑆 = 37 inches (not to scale)

𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 78 m 26 m 782−262=𝑏2 𝑐= 𝐴𝑁𝑆 = 74 m How far away is the base of the lighthouse? 𝑏2=𝑐2−𝑎2 78 m 26 m 782−262=𝑏2 𝑐= 𝐴𝑁𝑆 = 74 m (not to scale)

need to fly in a straight line? 𝑎2+𝑏2=𝑐2 How far does the plane need to fly in a straight line? Bringlinghamshire 45 km 18 km Airport 452+182=𝑐2 𝑐= 𝐴𝑁𝑆 = 48 km (not to scale)

How tall is the mountain? 𝑎2+𝑏2=𝑐2 How tall is the mountain? 𝑏2=𝑐2−𝑎2 18.7 km 14 km 18.72−142=𝑏2 𝑐= 𝐴𝑁𝑆 = 12 km (not to scale)

𝑎2+𝑏2=𝑐2 3.2 m 1.4 m 1.42+3.22=𝑐2 𝑐= 𝐴𝑁𝑆 = 3 m How long is the ladder? 𝑐= 𝐴𝑁𝑆 = 3 m (not to scale)

𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 55 m 53 m 2 m 252−232=𝑏2 𝑐= 𝐴𝑁𝑆 = 15 m +2 = 17 m How high is the kite? 𝑏2=𝑐2−𝑎2 55 m 53 m 2 m 252−232=𝑏2 𝑐= 𝐴𝑁𝑆 = 15 m +2 = 17 m (not to scale)

𝑎2+𝑏2=𝑐2 32 m 65 m 652+322=𝑐2 𝑐= 𝐴𝑁𝑆 = 72 m How far away is the top of the lighthouse? 32 m 65 m 652+322=𝑐2 𝑐= 𝐴𝑁𝑆 = 72 m (not to scale)

𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 4.5 m 2.2 m 4.52−2.22=𝑏2 𝑐= 𝐴𝑁𝑆 = 4 m How far up the wall does the ladder reach? 𝑏2=𝑐2−𝑎2 4.5 m 2.2 m 4.52−2.22=𝑏2 𝑐= 𝐴𝑁𝑆 = 4 m (not to scale)

𝑎2+𝑏2=𝑐2 5.5 km 14 km 2.52+142=𝑐2 𝑐= 𝐴𝑁𝑆 = 15 km How far away is the top of the mountain? 5.5 km 14 km 2.52+142=𝑐2 𝑐= 𝐴𝑁𝑆 = 15 km (not to scale)

𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 19 m 2 m 15 m 192−152=𝑏2 𝑐= 𝐴𝑁𝑆 = 12 m + 2 = 14 m How tall is the tree? 𝑏2=𝑐2−𝑎2 19 m 2 m 15 m 192−152=𝑏2 𝑐= 𝐴𝑁𝑆 = 12 m + 2 = 14 m (not to scale)

𝑎2+𝑏2=𝑐2 22 inches 15 inches 222+152=𝑐2 𝑐= 𝐴𝑁𝑆 = 27 inches What size is the TV? 22 inches 15 inches 222+152=𝑐2 𝑐= 𝐴𝑁𝑆 = 27 inches (not to scale)

𝑎2+𝑏2=𝑐2 𝑏2=𝑐2−𝑎2 57 m 132 m 1322−572=𝑏2 𝑐= 𝐴𝑁𝑆 = 119 m How long is the pitch? 𝑏2=𝑐2−𝑎2 57 m 132 m 1322−572=𝑏2 𝑐= 𝐴𝑁𝑆 = 119 m (not to scale)

𝑎2+𝑏2=𝑐2 7 m 32 m 322+72=𝑐2 𝑐= 𝐴𝑁𝑆 = 33 m How far away is the kite? 𝑐= 𝐴𝑁𝑆 = 33 m (not to scale)

How far east is Fringley? 𝑎2+𝑏2=𝑐2 How far east is Fringley? 𝑏2=𝑐2−𝑎2 Airport 62 km 45 km Fringley 622−452=𝑏2 𝑐= 𝐴𝑁𝑆 = 43 km (not to scale)

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk