Maths

the use of number to explain the position of something in an order e.g. page numbers

A way of labelling things e.g. buses

Counting and pointing

Counting words in the same order

The last number is the total number

Anything can be counted

The order that you count things in doesn't matter

where 2 or more quantities are combined into a single quantity and addition is used to determine the total.

where a quantity is increased by a certain amount and addition is used to determine the increase

5+3 = 3+5

where a quantity is partitioned off and subtraction is required to calculate how many are left or how many remain.

where a quantity is decreased by a certain amount and subtraction is used to determine the decrease

where subtraction is required to make a comparison between two numbers.

where we must figure out how much needs to be added to a quantity to make a certain target.

Dienes materials

counters

coloured beads

money

Number of corners/number of curved/straight sides, size

the idea of an angle as a rotation

how pointed is the shape formed by two lines

How are shapes the same?

How are the shapes different

same sized angles, lengths arranged in the same way

Same shape in a different area of a coordination grid

Rotating the shape while keeping the properties the same

Mirror reflection of the shape

Changing the size of the shape

the pattern that determines how to finish the sequence

Whole number, jump in 10's

Go to nearest 10, jump in 10's

Whole number, jump in 10's, compensate

Start with the smallest number and count up

The time that an event occurs

Ad hoc adding on approach

If two objects are the same length they are always the same length even when moved

Compare the difference of two numbers

a is related to b and b is related to c so a is related to b