In a large bowl, dissolve yeast in warm water. Add the sugar, salt, oil and 3 cups flour. Beat until smooth. Stir in enough remaining flour, 1/2 cup at a time, to form a soft dough.
Turn onto a floured surface; knead until smooth and elastic, 8-10 minutes. Place in a greased bowl, turning once to grease the top. Cover and let rise in a warm place until doubled, about 1-1/2 hours.
Punch dough down. Turn onto a lightly floured surface; divide dough in half. Shape each into a loaf. Place in 2 greased 9x5-in. loaf pans. Cover and let rise until doubled, 30-45 minutes.
Bake at 375° for 30-35 minutes or until golden brown and bread sounds hollow when tapped. Remove from pans to wire racks to cool.
Tip the yeast and 1 tbsp sugar into a large bowl, and pour over 100ml warm water. Leave for 10 mins until the mixture becomes frothy.
Pour 200ml warm water into the bowl, then stir in the salt and half the flour. Keep adding the remaining flour (you may not have to use it all) and mixing with your hands until you have a soft, but not sticky dough. Then knead for 10 mins until the dough feels smooth and elastic. Shape into a ball and put in a clean, lightly oiled bowl. Cover loosely with cling film and leave in a warm place until doubled in size, about 1hr.
Heat oven to 220C/fan 200C/gas 7. On a lightly floured surface, divide the dough into 10 pieces, each about 85g. Shape each piece into a flattish ball, then take a wooden spoon and use the handle to make a hole in the middle of each ball. Slip the spoon into the hole, then twirl the bagel around the spoon to make a hole about 3cm wide. Cover the bagel loosely with cling film while you shape the remaining dough.
Meanwhile, bring a large pan of water to the boil and tip in the remaining sugar. Slip the bagels into the boiling water - no more than four at a time. Cook for 1-2 mins, turning over in the water until the bagels have puffed slightly and a skin has formed. Remove with a slotted spoon and drain away any excess water. Sprinkle over your choice of topping and place on a baking tray lined with parchment. Bake in the oven for 25 mins until browned and crisp - the bases should sound hollow when tapped. Leave to cool on a wire rack, then serve with your favourite filling.
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