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Puzzles and Problems
Objectives
To place numbers on a 0 to 100 landmarked line and find a number in between.
Resources
Abacus Workbook 1 | π 1 to 9 digit cards | π 0-100 landmarked line | π 0-1000 landmarked line
Vocabulary
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Today's Lesson
What to Get Ready
For the Extra Challenge, enlarge the π 0-1000 landmarked line to A3 if possible.
Main Activity 1
Shuffle a set of π 1 to 9 digit cards. Take two and ask your student to use them in that order to mark a 2-digit number on the
Repeat with another two cards so you have two 2-digit numbers labelled on the line.
Your student should then shuffle a set of 1 to 9 digit cards, and take two. Can they use these to make a number between your pair of numbers? If so, they score a point. If not, you score a point.
Repeat 9 more times.
Who has scored more than 5?
Main Activity 2
Play Inbetweenies.
Player 1 shuffles 1-9 digit cards, places them face-down then takes the top 4 cards to make two 2-digit numbers, marking them on the π 0-100 landmarked line. They can use the 4 digits in whatever order they like.
Player 2 takes the next 2 cards and uses them to try to make a number between the numbers on the line. If they can do so, Player 2 wins a point. If not, Player 1 wins the point.
Repeat, swapping roles for each game.
Discuss what strategies we learned as we played the game, e.g. to try to make a pair of numbers as close together as possible!
Extra Challenge
Show the enlarged π 0-1000 landmarked line.
Work as two players.
Player 1 shuffles the 1-9 digit cards, place face down and takes the top 6. They use these to create a pair of 3-digit numbers to mark on the line. They can use the digits in any order.
Player 2 looks at the 3 remaining cards to see whether there are three which will make a 3-digit number which lies between the pair of numbers made by Player 1.
If so, Player 2 wins a point, if not, Player 1 wins a point.
Repeat, swapping roles.
Discuss what strategies your student used as they played the game, e.g. to try to make a pair of numbers as close together as possible!
Workbook
To help your student recap upon previous learning from this course, please ask them to complete the activities on page 5 of Abacus Workbook 1.
