Welcome Early Years and Key Stage 1 Maths Workshop

Number sense Number sense refers to a person’s general understanding of number and operations along with the ability to use this understanding in flexible ways to make mathematical judgements and to develop useful strategies for solving complex problems. (NCTM1993)

Children with number sense Can estimate a reasonable answer for a problem Understand the different ways numbers are used Use relationships among operations and knowledge of place value to solve problems Use the relationships among operations and knowledge of place value to solve problems Can spot patterns in number Develop calculation strategies and know when to use them Are problem solvers Understand number relationships can flexibly partition numbers

What exactly does the number 9 mean? Understanding number What exactly does the number 9 mean?

Resources Counters Unifix Number line 100 square Counting beads Place value cards Numicon

Helping at home – Bath-time (filling and emptying containers, counting) – Counting rhymes – Talk about numbers in the environment (eg, front door numbers, number plates, road signs, bus numbers etc) – Help with the cooking (measuring, weighing, ordering the recipe) – Setting table places (how many plates/cups etc) – Paying in shops (including change) – Estimating amounts (how many apples/sweets?) - Games with die

New Curriculum Staged learning, not levelled learning New Curriculum linked to Calculation Policy where methods are staged School Website: About us – Policies and Key Information – Calculation Policy

Step 1: Counting rhyme and songs Addition Step 1: Counting rhyme and songs Children are encouraged to hear and learn rhymes and songs, especially with actions to initiate their counting development and concepts of more than and bigger than.

Step 2: Objects (Stage 1 / 2) Addition Step 2: Objects (Stage 1 / 2) Children make use of a wide variety of concrete apparatus to support their counting and matching 1-1 and to support their basic concept of addition.   3 + 2 = Pick out 3 dinosaurs and 2 dinosaurs and count them altogether. Here children should use resources such as bead strings.

Step 3: Pictures (Stage 1 / 2) Addition Step 3: Pictures (Stage 1 / 2) Children are encouraged to develop a mental picture of the number system in their heads to use for calculation. They develop ways of recording calculations using pictures, etc.

Step 4: The number line (Stage 1-3) Addition Step 4: The number line (Stage 1-3)

Step 4: The empty line (Stage 2 and early Stage 3) Addition Step 4: The empty line (Stage 2 and early Stage 3) You try one: 56 + 29 =

Addition Step 5 Try one… 85 + 27 = Partition the smallest number into tens and ones. Add the tens and then the ones. 77 + 46 = 77 + 40 = 117 117 + 6 = 123 This can be recorded in children’s books. Try one… 85 + 27 =

Step 1: Counting Rhyme and Songs Subtraction Step 1: Counting Rhyme and Songs Children are encouraged to hear and learn rhymes and songs, especially with actions to initiate their counting development and concepts of less than and smaller than.

Step 2: Objects (Stage 1 / 2) Subtraction Step 2: Objects (Stage 1 / 2) Children make use of a wide variety of concrete apparatus to support their counting and matching 1-1 and to support their basic concept of taking away.   5 - 2 = Pack out 5 dinosaurs and take 2 dinosaurs away. How many are left? Here children should use resources such as bead strings.

Step 3: Pictures (Stage 1 / 2) Subtraction Step 3: Pictures (Stage 1 / 2) Children are encouraged to develop a mental picture of the number system in their heads to use for calculation. They develop ways of recording calculations using dots, pictures, etc.

Subtraction Stage 1 -3

Subtraction You try one: 86 – 24 =

Step 5: Mental Partitioning (Stage 2 / 3) Subtraction Step 5: Mental Partitioning (Stage 2 / 3)   Partition the number to be subtracted into tens and ones. Subtract the tens and then the ones. 74 – 27 74 – 20 = 54 54 – 7 = 47 Try one… 53 – 25 =

3 Strands Fluency Reasoning Problem-solving

For example… 13 – 5 = 11 True or False Why?

Mathletics

Useful websites Google: Woodlands Maths Zone Topsmarks ICT games