Other counting and calculation questions are implicit in the pictures. There should also be open-ended discussion about numbers, ordering, number relationships, calculations and spatial movement.
"Three ducks, four ducks, off we go - Counting quackers in a row!" Now the ducks are lining up for their medicine from the vet.
Are all the ducks there?
Which duck is first to have medicine?
Which duck will be last to have medicine?
Which duck will be third to have medicine?
"One duck, two ducks, sing a song - Counting quackers all day long!" How many ducks have glasses?
How many ducks have both hats and glasses?
How many ducks have no hats and no glasses?
"Five ducks, six ducks, swim and swoop - Counting quackers group by group!" The ducks are playing on four ponds. Are they all here?
* How many ducks are on Rosebud Pond? How many on Yewtree Pond? How many on Daffodil Pond? How many on Bluebell Pond?
* How many ducks will there be on each pond if; a) Tim and Lol go to Yewtree Pond? b) Mac and Sal go to Yewtree Pond? c) Dot and Win go to Daffodil Pond?d) Ben, Lol and Jas each go to a different pond? e) If half the ducks go to Yewtree Pond? (There is more than one answer to d and e.) * If nine more ducks arrive, how many will there be altogether?
* If the new ducks split equally between Yewtree Pond, Daffodil Pond and Rosebud Pond, how many ducks will there be on each pond?
* If one of the nine new ducks goes to Yewtree Pond and the rest share themselves equally between Daffodil Pond and Bluebell Pond, how many ducks will there be on each pond now?
* If one of the nine new ducks decides not to swim, and a quarter of the rest go to each of the ponds, how many ducks will there be on each pond now?
"Seven ducks, eight ducks, sip and sup - Counting quackers, bottoms up!" Our ducks are back in their pond.
Are they all there?
How many ducks are ducking under?
What are their names?
How many are not under water?
If one more duck decides to duckunder, how many ducks will be ducking now?
How many will not be ducking?
If half the ducks decide to duck under, how many ducks will be ducking now?
How many will not be ducking?
"Nine ducks, ten ducks, swish and swosh - Counting quackers, splish, splash, splosh!" Now the ducks are swimming quietly after all the excitement.
Are they all there?
Draw a line round all the ducks with hats. This is the set of ducks with hats.
Draw a line round all the ducks with glasses. This is the set of ducks with glasses.
Can you see a set of ducks with both hats and glasses?
Can you see a duck which has neither hat nor glasses?
NC KS1 PoS "Number" 2a
Objectives: count to 10; know number names; recognise sequences; count in twos and threes.
* Discuss ways of counting
* Where do you start to count?
* How do you know when you have counted all the ducks?
* Do the names help?
* Does it help to keep a tally, or write anything down?
Pages 28 and 29
NC KS1 PoS "Number" 2b
Objectives: order numbers to 10.
* Discuss ordinal numbers - who is first, who is second? etc.
* Discuss words and phrases such as "before", "next to", etc.
* Use the line of waiting ducks for counting on and back.
Pages 30 and 31
NC KS1 PoS "Using and Applying" 3b 3c 4a 4b, "Number" 2c 3c, KS2 "Number" 3c
Objectives: add and subtract to 10; add and subtract to 20; mathematical questions - "what if?"; halves and quarters.
* The arrival of nine extra ducks in the distance presents more chances for "what if" questions at varying levels of difficulty. (Note - after each "what if" question, pupils may ask whether the ducks should go back to their starting points. This assumption should be made, but you could also discuss the effects of cumulative moves.) Use the paths around the ponds to generate "what if"questions such as: using only the paths, can each duck leave his or her pond, swim in two more ponds and go straight back? Or, can any ducks leave their pond, visit three more ponds, then return to their first pond?l Discuss the words and symbols for plus and minus.
NC KS1 PoS "Number" 2a Objectives: counting to 10; addition and subtraction.
* Think up "what ifs" based on the number of ducks ducking.
NC KS1 PoS "Using and Applying" 4a, "Number" 5a
Objectives: see groups and patterns; sort and classify.
* Draw lines to create sets of 1) ducks with glasses 2) ducks with hats (look at the effect on ducks with both, and the one duck with neither).
Cut out and keep
Make paper duck ponds or photocopy the four ponds with the ducks masked out. Use the cut-outs to stimulate discussion and mental arithmetic.
"I use a variety of forms of mathematical presentation, eg read stories (using) mathematical ideas and vocabulary" Mathematics and the Use of Language - Qualifications and Curriculum Authority 1997
"Count orally up to 10 and beyond, know the number names; count collections of objects, checking the total ... recognise and use in context simple fractions including halves and quarters. Consolidate knowledge of addition and subtraction facts to 20 ..."
"Interest in mathematics and an appreciation of its value can be developed through activities which help pupils to find pleasure and satisfactionI" Scottish National Guidelines Mathematics 5-14