Digit Dog is using a hollow plastic egg and some fluffy chicks to create some number problems. This type of word problem requires more thinking than the problems such as “There are 4 chicks in my egg and 4 chicks on the floor. How many chicks are there altogether?”, where the end result is unknown.
The aim is to encourage learners to think and talk mathematically – to have a mathematical conversation and use their knowledge of additive relationships and the link between addition and subtraction.
Ask learners to:
Explain what the problem is about in their own words.
Explain what information they know and what they are trying to find out. How many chicks are not in the egg? What number of chicks cannot be in the egg?
FInd a way to work out how many chicks are in the egg.
Describe the strategy they have used. They might:
act it out – using children themselves (with chick masks)
act it out – using toy chicks
use counters to represent the chicks
draw pictures of the chicks
use an eight Numicon shape to lace the chicks on
use number bonds
Convince everyone that their answer is correct. Use sentence starters such as:
I know the answer is 4 because ….
First of all I…………then I………
I know that …….. so…………
Write a number sentence
Change the number of chicks in the egg.
Think about a What if………?
What if there were more than 8 chicks altogether?
What if the story wasn’t about chicks?
Can learners transfer their thinking to a new problem?
Make up some of your own problems like this one for your friend.
The five proficiences
Learners will use:
strategic competence to make sense of the problem, work out what is known and what needs to be found out and to decide on a way of solving it.
logical reasoning to explain their thinking, to make sense of the problem and to use what they know to work it out.
conceptual understanding of, and fluency with, number bonds for 8 in order to use them to solve the problem and to be efficient and accurate with the basic calculations.
communication using symbols and correct mathematical vocabulary to write number sentences and explain their thinking .
Learners will need to be competent in all five proficiencies in order to create their own problems.
Open the powerpoint, show the first slide and ask:
How many eggs do you think are in the pot?
Take some estimations and then reveal the answer.
Show the second slide. The first image is the pot from Slide 1.
Click to reveal a second image and ask:
How many are there in this pot?How are we going to estimate? Are there more or fewer than the first pot? How many more/fewer? Discuss some estimations before revealing the answer.
Click to reveal a third image. What about this pot? How many eggs? Ask for estimations and ask learners to explain why they chose the number they did. Why did you choose that number? Explain your reasoning.
Click to reveal the fourth image and see if learners are refining their strategies for estimating. Are they just guessing or are they using what they know about previous pots and reasoning about the number of eggs?