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Renaming and Grouping

Arranging Numbers
The ability to correctly assess a series of numbers and swap them around until they are in a desired order (ascending or descending) is a necessary component for developing a student's ability to determine the relative size of various numbers at a glance. A real world use of this skill is comparing two prices at a supermarket.

This section covers arranging numbers in numerical order.

 
Grouping
The ability to identify and group numbers into their component parts (units, tens, hundreds and thousands) is a key component of mathematics. It demonstrates to students the basic structure of numbers.

This section utilises the skill of grouping numbers into tens and units and includes an introduction to using multiplication where the same number is added multiple times.

 
Which is Less/More
The ability to quickly determine which of two sums is less/more than the other is both a more complex exercise than Arranging Numbers based on size and a key building block for more advanced mathematical concepts, such as multiplication and percentages. A real world example might be comparing the price of two different sets of ingredients for two meals to find the cheapest.

This section covers basic addition and comparison of the relative sizes of two numbers.

 
Renaming Sums
The ability to identify the various smaller numbers that form the components of a larger number (hundreds, tens and units). Knowledge of the various combinations of numbers that can make up a larger number allows a student to quickly add numbers together in their head, no matter the size.

This section covers de-constructing a number into possible sums that make up the number.

 
Long Addition
This teaches a student to make multiple addition equations from the same sum. The units, tens and hundreds are added independently and then combined to form the answer. This allows a student to solve what seem to be very difficult addition sums involving large numbers with ease.

This section spreads out the addition process and teaches a student its component parts.