Equivalent Fractions Game for Math Enthusiasts
Starter
Write down as many fractions as you can that are equal to
1
/
2
. Be
prepared to explain why they all are
1
/
2
!
Equivalent Fractions Game
•
To day we will be looking at playing a
game involving simplifying fractions
•
We will see how to simplify some
fractions so we can compare which are
largest
•
We may also be considering probability
during this!
Equivalent Fractions Game
•
Order these fractions from biggest to
smallest:
Equivalent Fractions Game
Which fraction in each pair is largest? How can you
show this?
You will be in pairs and
need 2 dice:
Person A rolls the dice.
Across
is the
red
dice
and
up
is the
blue
dice
They read their
fraction from the board
(like a coordinate)
Person B does the same
on board B
You both write the 2
fractions in your book
and simplify them if
needed
One point to the person
with the biggest
fraction!
Person A
Person B
1 point to person B as
1
/
4
is the largest!
÷ both
by 3
÷ both
by 10
÷ both
by 2
÷ both
by 3
÷ both
by 2
1 point to person B as
1
/
3
is the largest!
Play 10 rounds against
the person next to you.
A tie = no points each.
Write the score at the
end (like a football
score – eg) 6-4)
Plenary
Let’s see how many ‘board A’ players won! And compare
it to how many ‘board B’ players won…
Was the game fair – discuss with the person next to
you how you could establish whether the game was fair
or not…
Number of squares that
equal this fraction:
Probability of getting this
fraction:
12
9
6
6
3
3
6
6
9
12
12
36
9
36
6
36
6
36
3
36
3
36
6
36
6
36
9
36
12
36
1
3
1
4
1
6
1
6
1
12
1
12
1
6
1
6
1
4
1
3
Simplified version:
You can see that
the game is biased
as Board A had
higher chances of
the bigger
fractions, whereas
board B had
bigger chances of
the smaller
fractions!
Summary
•
We have looked at a game involving
simplifying fractions
•
We have looked at comparing the size
of some fractions
•
We have also seen fractions in
probability and deciding whether a game
is fair or not!
Explore the world of equivalent fractions in this engaging game. Discover fractions equal to 1/2, order fractions from largest to smallest, compare fractions, and play a fun game with dice to simplify fractions. Uncover biases in the game and discuss fairness based on probability. Dive into the exciting realm of fractions and probability learning!
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Presentation Transcript
EQUIVALENT FRACTIONS GAME
Starter Write down as many fractions as you can that are equal to 1/2. Be prepared to explain why they all are 1/2!
Equivalent Fractions Game To day we will be looking at playing a game involving simplifying fractions We will see how to simplify some fractions so we can compare which are largest We may also be considering probability during this!
Equivalent Fractions Game Order these fractions from biggest to smallest: 1 4 1 3 1 5 1 6 1 2 1 2 1 3 1 4 1 5 1 6
Equivalent Fractions Game Which fraction in each pair is largest? How can you show this? 4 24 3 15 1 6 5 25 ?? ??
You will be in pairs and need 2 dice: Person A rolls the dice. Across is the red dice and up is the blue dice They read their fraction from the board (like a coordinate) Person B does the same on board B You both write the 2 fractions in your book and simplify them if needed One point to the person with the biggest fraction! Person A Person B 3 15 20 80 1 5 2 8 1 4 1 point to person B as 1/4 is the largest! Play 10 rounds against the person next to you. A tie = no points each. both by 3 both by 10 both by 2 3 12 2 6 1 4 1 point to person B as 1/3 is the largest! 1 3 Write the score at the end (like a football score eg) 6-4) both by 2 both by 3
Plenary Let s see how many board A players won! And compare it to how many board B players won Was the game fair discuss with the person next to you how you could establish whether the game was fair or not
You can see that the game is biased as Board A had higher chances of the bigger fractions, whereas board B had bigger chances of the smaller fractions! 12 9 6 6 3 3 6 6 9 12 Number of squares that equal this fraction: 12 36 9 36 6 36 6 36 3 36 3 36 6 36 6 36 9 36 12 36 Probability of getting this fraction: 1 3 1 4 1 6 1 6 1 12 1 12 1 6 1 6 1 4 1 3 Simplified version:
Summary We have looked at a game involving simplifying fractions We have looked at comparing the size of some fractions We have also seen fractions in probability and deciding whether a game is fair or not!
