Transition year 6 7 Problem Solving task 1

Transition year 6 -7 Problem Solving task 1

Warm up puzzle – What is the sum of the unshaded numbers ?

solution

Place Value • Learning Outcomes. § To work systematically by showing a method or having a plan. § To discuss place value and its significance. • Success Criteria q Work in pairs. q Discuss where to place your numbers and explain why. q Find all the possibilities. q Show your mathematical thinking.

Engage • You need: a partner and a 6 sided die. 1. Each of you draw a set of four boxes like this: 2. Take turns to roll the dice and decide which of your four boxes to fill. Do this four times until all of your boxes are full. Read the four digits as whole numbers 3. Whoever has the largest four-digit number wins. 4. Trial out both scoring systems and choose your favourite- don’t forget to explain why you have chosen that system. 1) A point for a win. The first person to reach 10 wins the game. Work out the difference between the two four-digit numbers after each round. 2) The winner keeps their score. First person to score 10 000 wins.

Explain • Well I wonder how often you have noticed that there are numbers around the place that follow one after another 1, 2, 3. . . etc. ? • Sometimes they appear in reverse order when a countdown is happening for a launch of a rocket. But usually they happen in an order going up, like when you read through a book and notice the page numbers. These kinds of numbers are called consecutive numbers, they are whole numbers that follow one after another. You're going to investigate consecutive numbers. • You may very well discover things that NO ONE else has discovered or written about before, and that's GREAT!

Elaborate • Questions to answer: • "What would happen if I took the consecutive numbers in an order going down, instead of up? " "What would happen if I only used sets of three consecutive numbers? " "What would happen if I used more consecutive numbers? " "What would happen if I changed the rule and allowed consecutive numbers to include fractions or decimals? " "What would happen if I allowed a + or − sign before the first number? "