Miles' Room

This room offers opportunities to explore:

• Counting

• Estimation

• Comparing quantities

• Measurement

• Geometry

• Spatial reasoning

• Fractions

• Early integer thinking

• Data analysis

• Probability

• Classification

• Pattern recognition

• Problem solving

• Mathematical communication

Every room tells a mathematical story. What story do you see in Miles' room?

Before talking about math, simply look.

Notice

• What catches your eye first?

• What do you think Miles enjoys doing?

• What clues tell you about his interests?

• What looks organized?

• What looks playful?

Wonder

• How long do you think it took Miles to build his roads?

• Which toy do you think he uses the most?

• What do you think he might build next?

Cars Everywhere

Count and Compare

• How many cars can you find?

• Are there more yellow cars or blue cars?

• Which color appears most often?

• Which color appears least often?

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Estimate

• Do you think there are more than 10 cars?

• Do you think there are more than 20 cars?

• Do you think there are less than 50 cars?

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Explain your thinking

• How do you know?

• Did you count or make an estimate?

Look carefully at the blocks.

Questions:

• Which shapes stack best?

• Which shapes might roll?

• Which tower is tallest?

• Which tower is shortest?

Trace the road with your finger.

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Questions:

• Where does the road begin?

• Where does it end?

Fractions begin long before children learn formal academic fraction notation.

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Look at the collection of cars.

 

Part and Whole

• If all of the cars belong to one collection, what part are yellow?

• What part are blue?

• What part are green?

Fair Sharing

• If Miles and a friend shared all of the cars equally, how many would each get?

• Would there be any left over?

• What if three friends shared them?

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Building Fraction Language

Use words like:

Half, Thirds, Fourths, Whole, Equal parts, Share, Piece, Part of

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The goal is helping children think about relationships between parts and wholes.

Negative numbers represent values below a reference point. Young children can begin developing this idea naturally.

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Elevators and Levels

Imagine the Bench with the box of toy cars is level 0.

Ask:

• Which toys are above level 0?

• Which toys would be below level 0 if they rolled underneath the floor?

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Temperature Thinking

Imagine it is very cold outside.

Ask:

• What temperature might feel warm?

• What temperature might feel cold?

• What does it mean if the temperature is colder than zero?

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Toy Car Game

Imagine Miles earns points.

• He gets 5 points for putting away a toy.

• He loses 2 points for leaving toys out

Ask:

• What happens if he loses more points than he earned?

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Parent Tip

Negative numbers are not just about solving equations. 

They are about understanding that numbers/values can exist on both sides of a reference point and they carry a specific meaning. 

Look for repeating ideas.

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Questions

• Do you notice any patterns in the colors?

• Do you notice any groups?

• Can you make your own patterns?

• If Miles added 10 more blue cars, would yellow still be the most common color?

How many ways can we sort the toys?

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Sort By

• Color

• Size

• Shape

• Location

• Type

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Deep Thinking

• Can one toy belong to more than one group?

• Why?

Instead of asking:

How many cars are there?

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Try:

How could fe figure out how many cars are there?

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Instead of just saying:

What shape is this?

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Also Try:

What do you notice about this shape?

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Instead of testing for answers, invite children to explain their thinking.

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Mathematical confidence grows when children learn that their ideas matter.