Year 6
Good luck!
Keep calm, remember how hard you have worked and think of this week as an opportunity to show off your brilliance. Mrs Hooper
Good luck!
Keep calm, remember how hard you have worked and think of this week as an opportunity to show off your brilliance. Mrs Hooper
Next door numbers
Take three numbers that are ‘next door neighbours’ when you count. These are called consecutive numbers.
Add them together.
What do you notice?
Take another three consecutive numbers and add them together.
What do you notice?
Can you prove that this is always true by looking carefully at one of your examples?
Possible extension
When adding three numbers there are a number of different combinations that are possible. Ask the children to explore what they are. Get them to identify the possible combinations and the features of those combinations that matter.
Does it matter whether the starting number is odd or even?
What would happen if we added four consecutive numbers? Or five? Or six? The possibilities are endless.
The children may find it helpful to use representations of numbers such as those included on the number square or the pdf to support their thinking
Odd&Even-1
Rules for the BASIC GAME
1. Traffic Lights is for two players.
2. It uses a 3×3 squared board. At the start of the game the board is empty.
3. Counters: the game needs about 6 red counters, 6 orange, and 6 green.
4. The players take turns to play.
5. When it is your turn to play you must either:
* place a red counter in an empty square, or
* replace a red counter already on the board with an orange one, or
* replace an orange counter already on the board with a green one.
6. You win by completing a line (row, column, or diagonal) of three counters all the same colour. (Clarification: it doesn’t matter who placed the first counter(s) in the line – it’s the third counter of the line which determines the winner.)
VERSION 2
So you may want to move on to VERSION 2. This game modifies rule (2), so that your 3×3 board has an additional 3×1 strip placed against one edge, and the board now becomes a 4×3 board.
VERSION 3
For many people version 2 is just about right, but for real addicts there’s more to come. If you like your games to make your head hurt, then try VERSION 3. If you made your board for version 2 in the form I described it, you have a two-piece board (a 3×3 square and a 3×1 oblong. In version 3 players have a new option; instead of placing a counter they may move the strip (and any counters on it). The strip may be turned through 180 degrees, or slid (and turned if preferred) to line up against another edge of the 3×3 section of the board. All the other rules are unchanged, so you’re still trying to complete a line of three pieces all the same colour.
Strike It Out
Try this game:
Draw a number line from 1 to 20. The first player picks two numbers, crosses them out and circles either their sum or their difference. The second player crosses out the circled number and another number that’s still left, and again circle the sum or the difference.
The winner is the person who stops their opponent from being able to move!
Why play Strike It Out?
This game offers an engaging context in which to practise addition and subtraction, but it also requires some strategic thinking. It is easily adaptable and can be used co-operatively rather than competitively.
Possible approach
Give children time to play several games so they get a feel for it – ask them whether they think it might be possible to cross off all the numbers in a game. Give them time to work co-operatively with you on this challenge before seeing what they have found out. Some will have realised that it is impossible to cross off zero – encourage them to explain why this is the case.
Learners could then investigate whether it is possible to cross off all the numbers if the number line goes from 1 to 30 instead. Many will be able to reason that it is still not possible due to there being an even number of numbers in total.
Key questions
Have you found any good ways to beat your opponent?
Can you cross out all the numbers in one game? How do you know?
What is the biggest number of numbers you can cross out?
Possible extension
Children can suggest their own ‘what if …?’ questions, for example:
What if we could use multiplication/division?
What if we drew a longer number line?
What would happen if we included decimal numbers in our number line?
What if the number line extended beyond zero to negative numbers?
Etc, etc …
Younger Pupils or those who need more support
If children are struggling with the calculations, a shorter number line may be appropriate from 0-10
Look at our outstanding, outdoor, Mathematics learning, exploring angles and angle line relationships using twigs, protractors, geostrips, chalk … Make a video of your own at Animoto.
Pupils evidenced high order thinking skills using our framework of blocks and target language that enabled the construction of well reasoned predictions and hypotheses.
What fun we had in making critical decisions on a range of purposeful environmental isues.
Last week, a number of Yr 5 and 6 pupils visited the outstanding facilities of the Sports Science Department of Solent University, one of the top three for this provision in the country. We were overwhelmed by the state of the art equipment and the range of scientific resources available to the students. Our pupils were supported by highly skilled undergraduates and lecturer, Matt Johnson, in an enquiry involving reaction times and physiological responses and were inspired to achieve the best possible outcomes for ourselves through the captivating and highly motivational recount of success through adversity by our Southampton paralympian, Arron Phipps.
Pupils, please post your responses to the day.
Try our video maker at Animoto.
Dotty six
You need a partner, a dice and a grid like this;
3 x 3 square grid of empty boxes
Take turns to throw the dice and draw that number of dots in one of the boxes on the grid.
Put all of your dots in one of the boxes. You can’t split them up and you can’t have more than six dots in a box.
When a box is full, you could put a tick in the corner.
Keep going until there are three ticks in a row or column or diagonal. The winner is the person who puts the last tick.
Why play this game?
The game as introduced is intended for KS1 children who are just beginning to become confident with small numbers. However there are many variations, some suggested below, that make it suitable for older children. As with many of the NRICH games, consolidation of basic number facts is combined with an element of strategic thinking.
Possible approach
With very small children you may wish to play the game with a small group first before encouraging them to play in pairs.
Take suggestions about what the rules may be, perhaps recording them centrally once everyone has agreed. They are:
• take turns to throw the dice and put the dots into a box
• you can put your dots anywhere but you can’t have more than six dots in any one box
• you have to put all your dots in one box
• you win if you finish the line, row or diagonal of complete boxes
• if you can’t go you miss a turn.
When everyone has played a few times, you can change the game:
• by making the total different (10, 12, 15, 20)
• by giving different dice (with only even numbers, only odds, dice to 10 etc)
• by making the grid bigger (4 by 4)
Key questions
Where will you put your dots? Why?
How do you know where to put your dots?
How many more do you need to win?
Possible support
They could begin with six counters in each box and take away the number thrown on the dice.
Possible extension
This is a great game for children to use their creativity and to work at a level at which they feel comfortable. The sophistication of their recording will change with their confidence.
• change the total in each box
• make the winner the first to complete a whole row that adds to a certain total (e.g. 20)
• change the shape of the grid (triangles rather than squares perhaps)
• use a different sort of number – fractions, decimals, percentages …
• change the rules completely.
Encourage them to write the rules out for someone else to follow. Perhaps they could submit them to the NRICH website (Dotty Six Game)
Last week, our Gifted and Talented writers across Key Stage 2, created their own version of’ ‘The Jaberwocky’…they called it ‘The Pickralack’.
Their creation was developed from the identification of rhythm, rhyme, syllable patterns, syntax and gramatical features of the famous heroic, narrative poem by Lewis Carroll. Through the replacement of his nonsense words for their own crafted vocabulary, they produced a performance poem that not only carried meaning but showed highly skilled understanding of word order and meter.
'Twas brillig, and the slithy toves Did gyre and gimble in the wabe; All mimsy were the borogoves, And the mome raths outgrabe. "Beware the Jabberwock, my son! The jaws that bite, the claws that catch! Beware the Jubjub bird, and shun The frumious Bandersnatch!" He took his vorpal sword in hand: Long time the manxome foe he sought -- So rested he by the Tumtum tree. And stood awhile in thought. And as in uffish thought he stood, The Jabberwock, with eyes of flame, Came wiffling through the tulgey wood, And burbled as it came! One, two! One, two! And through and through The vorpal blade went snicker-snack! He left it dead, and with its head He went galumphing back. "And hast thou slain the Jabberwock? Come to my arms, my beamish boy! O frabjous day! Callooh! Callay!" He chortled in his joy. 'Twas brillig, and the slithy toves Did gyre and gimble in the wabe; All mimsy were the borogoves, And the mome raths outgrabe.
The Pickralack
‘Twas skyscath, and the brackbone slythes
Did twizz and guzzle in the laze;
All newco were the riga rythes,
And the oory mauoves scarade.
“Beware the Pickralack, my doof!
The trangs that vack, the stix that scrab!
Beware the Fubjub bird and shun
The manguous Sligerslab!”
His giant glimmer in his hand:
Long time the teevil foe he sook -
So slested he by the Rumtum tree,
And stood awhile in flook
And as in graundly thought he stood,
The Pickralack, with eyes all stook,
Came siffling through the seeply wood,
And hawkered as it came!
Grib, grab! Grib grab! And through and through
The sharking blade went hicker-hack!
He left it blay, and with its crai
He went tralunking back.
“And hast thou shan the Pickralack?
Come to my arms my shamshine boy
Oh cramboo day! Bangaley, bangaley!”
He droodled in his joy.
‘Twas skyscath, and the brackbone slythes
Did twizz and guzzle in the laze;
All newco were the riga rythes,
And the oory mauoves scarade.
By Blackfield Primary School
Able Writers Group
Aged 7 to 11
Key Stage 2