Pythagoras RealLife Worksheet A The worksheet is in

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Pythagoras – Real-Life – Worksheet A The worksheet is in two scales with two

Pythagoras – Real-Life – Worksheet A The worksheet is in two scales with two sizes each. IMPORTANT! This worksheet relies on accurate scales. See next slide for printing instructions.

IMPORTANT! This worksheet relies on accurate scales. en printing, ensure ‘Scale to Fit Paper’

IMPORTANT! This worksheet relies on accurate scales. en printing, ensure ‘Scale to Fit Paper’ is ck: ‘Full Page Slides’ > Deselect ‘Scale to Fit Paper’ deselected .

Printing To print handouts from slides Select the slide from the left. Then click:

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’.

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5 2

1 : 10, 000 Smuggler’s Cove N 1) The admiralty march from Jack’s Harbour

1 : 10, 000 Smuggler’s Cove N 1) The admiralty march from Jack’s Harbour to The Hideout. Looter’s Lookout They then march to Smuggler’s Cove. A third of the way there they spot the pirates at Newland march there. Pirate’s Point Dread Beach 1 Extension: Newland The Hideout Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) Newland to Looter’s Lookout ______ m 2) Looter’s Lookout to Smuggler’s Cove 3) Smuggler’s Cove to The Hideout 4) The Hideout to Dread Beach (around the lake!) ______ m exact ______ m How far did they march in total from Jack’s harbour? 2) The admiralty then marched 626 meters North-West from Newland. They went 300 meters West in total. How far North did they travel? Mark on the map where they finished their march.

1 : 10, 000 608 m Smuggler’s Cove Looter’s Lookout N 539 m Pirate’s

1 : 10, 000 608 m Smuggler’s Cove Looter’s Lookout N 539 m Pirate’s Point Dread Beach 1 Newland The Hideout Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) Newland to Looter’s Lookout ______ m 2) Looter’s Lookout to Smuggler’s Cove 3) Smuggler’s Cove to The Hideout 4) The Hideout to Dread Beach (around the lake!) ______ m exact 539 608 ______ m Half Answers

1 : 10, 000 608 m Smuggler’s Cove Pirate’s 269 Point m N ×

1 : 10, 000 608 m Smuggler’s Cove Pirate’s 269 Point m N × 671 m Looter’s Lookout 500 m 1) The admiralty march from Jack’s Harbour to The Hideout. 539 m 283 m 206 m 583 m Dread Beach 224 m 1 The Hideout Newland 223 m 283 m Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) Newland to Looter’s Lookout ______ m 2) Looter’s Lookout to Smuggler’s Cove 3) Smuggler’s Cove to The Hideout 4) The Hideout to Dread Beach (around the lake!) ______ m Extension: exact 539 608 671 506 ______ m 1282 vs. 1258 m They then march to Smuggler’s Cove. A third of the way there they spot the pirates at Newland march there. How far did they march in total from Jack’s harbour? 2) The admiralty then marched 626 meters North-West from Newland. They went 300 meters West in total. How far North did they travel? Mark on the map where they finished their march. 1) 1. 267 km 2) 549 m

1 : 50, 000 3. 0 km Smuggler’s Cove Pirate’s 1. 3 Point km

1 : 50, 000 3. 0 km Smuggler’s Cove Pirate’s 1. 3 Point km 3. 4 km Looter’s Lookout 2. 5 km N 2. 7 km 1. 4 km 1. 0 km Dread Beach 1. 1 km 2 2. 9 km The Hideout 1. 1 km 1. 4 km Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) 2) 3) 4) Newland to Looter’s Lookout to Smuggler’s Cove to The Hideout to Dread Beach (around the lake!) ______ 2. 7 exact km 3. 0 km ______ 3. 4 km ______ 2. 5 km ______ 6. 410 vs. 6. 291 Answers

1 : 10, 000 Smuggler’s Cove Looter’s Lookout Pirate’s Point Dread Beach 1 1

1 : 10, 000 Smuggler’s Cove Looter’s Lookout Pirate’s Point Dread Beach 1 1 : 10, 000 N N Looter’s Lookout Pirate’s Point Newland The Hideout Dread Beach Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) Newland to Looter’s Lookout ______ m 2) Looter’s Lookout to Smuggler’s Cove 3) Smuggler’s Cove to The Hideout 4) The Hideout to Dread Beach (around the lake!) ______ m exact ______ m 1 Newland The Hideout Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) Newland to Looter’s Lookout ______ m 2) Looter’s Lookout to Smuggler’s Cove 3) Smuggler’s Cove to The Hideout 4) The Hideout to Dread Beach (around the lake!) ______ m exact ______ m

1 : 50, 000 Smuggler’s Cove 1 : 50, 000 N Smuggler’s Cove Looter’s

1 : 50, 000 Smuggler’s Cove 1 : 50, 000 N Smuggler’s Cove Looter’s Lookout Pirate’s Point Dread Beach 2 Looter’s Lookout Pirate’s Point Newland The Hideout Dread Beach Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) 2) 3) 4) N Newland to Looter’s Lookout to Smuggler’s Cove to The Hideout to Dread Beach (around the lake!) ______ exact ______ 2 Newland The Hideout Jack’s Harbour Pirate Island Pirate Peter and his buccaneers want to take over Pirate Island! How far do they need to march? Use Pythagoras between points to work out the straight-line distance. 1) 2) 3) 4) Newland to Looter’s Lookout to Smuggler’s Cove to The Hideout to Dread Beach (around the lake!) ______ exact ______

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated

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