# Math

## ​

• SETS

Attributes can be used to sort collections into sets.
The same collection can be sorted different ways.
Sets can be compared and ordered.

• NUMBER SENSE

Numbers are used in many, many ways, some more mathematical than others.
Quantity is an attribute of a set of objects. We use numbers as adjectives. 3 dogs, 2 cats NEVER naked & alone.
We use numbers to name the quantity.
The quantity of a small collection can be intuitively perceived without counting.

• COUNTING

Counting can be used to find out how many in a collection
Counting has rules that apply to any collection.

• PATTERNS

Patterns are sequences governed by a rule.
Patterns are in mathematics and the real world.
Identifying the rule of a pattern brings predictability and allows us to make generalizations.
The same pattern can be found in many different forms.

• NUMBER OPERATIONS

​Sets can be changed by adding items or taking away.
Sets can be compared using the attributes of numerosity and ordered by more than, less than, and equal to.
A quantity (whole) can be decomposed into parts and the parts can be composed to form the whole.

• SHAPES

​Shapes can be defined and classified by their attributes
The flat surfaces of 3D shapes are 2D shapes.
Shapes can be combined and separated to form new shapes.

• SPATIAL RELATIONSHIPS

​Relationships between objects and places can be described with mathematical precision.
Our own experience with space and 2D representations of space reflect a specific point in time.
Spatial relationships can be visualized and manipulated mentally.

• MEASUREMENT

Many different attributes can be measured, even when measuring a single object.
All measurements involve a "fair" comparison
Quantifying a measurement helps us describe and compare more precisely.

• DATA ANALYSIS

​The purpose of collecting data is to answer questions when the answers are not immediately obvious.
Data must be represented in order to be interpreted.
How data is gathered and organized depends on the question.
It is useful to compare parts of the data and to draw conclusions about the data as a whole.

## What is math instruction?

Math instruction in our program is based in play and activity.

Math is a playground for inquiry and problem-solving and it should be an enjoyable activity for young learners. We use lots of manipulatives and open ended activities to get kids thinking like mathematicians.

Young Fives leave our program knowing the numbers 0-20 and understanding the Big Ideas of Early Mathematics listed below.

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