Popcorn and juice 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Further Resources This task is about solving practical problems with patterns. Question 1Change answer Questions/instructions You and your friend are making popcorn for your class. You need to work out how many spoons of corn you will need for 36 people. Each person should get a bowl of popcorn. Spoons Bowls made 1 2 3 6 5 10 a) i) You see a pattern in the table, but your friend does not. Tell your friend how many bowls of popcorn can be made with six spoons of corn. Explain how you know this from the pattern in the table. Questions/instructions You and your friend are making popcorn for your class. You need to work out how many spoons of corn you will need for 36 people. Each person should get a bowl of popcorn. Spoons Bowls made 1 2 3 6 5 10 a) i) You see a pattern in the table, but your friend does not. Tell your friend how many bowls of popcorn can be made with six spoons of corn. Explain how you know this from the pattern in the table. ii) Think about the pattern. How many spoons of corn will you need to make 36 bowls of popcorn? Question 1Change answer b) i) The chart below shows that one jug will hold four cups of juice and two jugs will hold eight cups of juice. Continue the pattern in both rows of the chart until you find the number of jugs needed to hold 46 cups of juice. b) i) The chart below shows that one jug will hold four cups of juice and two jugs will hold eight cups of juice. Continue the pattern in both rows of the chart until you find the number of jugs needed to hold 46 cups of juice. Jugs 1 2 3 4 Juice 4 8 Question 1Change answer ii) How many jugs will you need for 46 cups of juice? iii) Explain how you got your answer Task administration: This task can be completed with pencil and paper or online with some auto-marking, Level: 4 Curriculum info: Maths, Number and Algebra, Patterns and relationships Keywords: nemp, number patterns, rules, relationships Description of task: For this NEMP task students solve practical problems using linear number patterns and use a relationship graph to identify trees by height and width. Learning Progression FrameworksThis resource can provide evidence of learning associated with Patterns and relationships, sets 5-6 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y8 (09/1997) a) i) Correct answer and explanation. Correct, but vague explanation. Other 50% 21% 29% a) ii) 18 61% b) i) Jugs 1 2 3 4 5 6 7 8 9 10 11 12 Juice 4 8 12 16 20 24 28 32 36 40 44 48 Chart correct to 12 jugs. One error up to 12 jugs. 73% 5% b) ii) 11 ^{1}/_{2} or 12 64% b) iii) Clear, concise explanation. On right track, but less clear. Other 50% 21% 29% Tomato harvest Foreign currency exchange Chain of numbers What's next? Matchstick patterns III Making triangle patterns II Supermarket patterns Training for the cycle race Number machines Ladder patterns Fitness programme Measurement table Number patterns How far will the car travel? Morning coffee Knitting needles