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Image Talks

From Multiplicity Lab Northwestern

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Never Say Anything A Kid Can Say

~ Steve Reinhart

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How to use these slides

One Talk is 2 slides in length.

The first is the image, the second is the prompting questions to ask and the Big Idea that is at the heart of the Talk.

In the notes on each slide you will find an extension activity

You can begin every slide by asking What do you notice? What do you wonder?

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Ask

What do you notice?

What’s happening in this image?

What patterns do you see?

What does it make you wonder?

Big Ideas

Seeing mathematics in the world

Posing mathematical questions

Attending to and using structure

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

Are there more buffalo in the water or out of the water?

How do you know?

What do you notice that could help you decide?

Big Ideas

Seeing mathematics in the world

Comparing quantities

Decomposing and using benchmarks to estimate

Composing and decomposing number

Sorting, organizing, and using attributes

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Ask

What’s missing?

What shapes could fill the empty space?

How do you know?

What do you notice that could help you?

Big Ideas

Attending to and using structure

Equal means the same

Relating part and whole

Sorting, organizing, and using attributes

Composing and decomposing with shapes

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Ask

What’s missing?

What shapes could fill the empty space?

How do you know?

What do you notice that could help you?

Big Ideas

Attending to and using structure

Equal means the same

Relating part and whole

Sorting, organizing, and using attributes

Composing and decomposing with shapes

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Ask

About how many do you see?

How do you know?

What do you notice that can help you estimate?

What makes estimating hard?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Decomposing and using benchmarks to estimate

Thinking in equal groups

Composing and decomposing with shapes

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Ask

About how many do you see?

How do you know?

What do you notice that can help you estimate?

What makes estimating hard?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Decomposing and using benchmarks to estimate

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Ask

What do you notice?

What stands out to you?

Why?

What do you wonder?

What questions could you ask of this image?

Big Ideas

Seeing mathematics in the world

Posing mathematical questions

Attending to and using structure

Seeing and creating patterns

Using units to count, measure, and compare

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

Are there more green squares or orange squares?

How do you know?

How did you see it?

How could you figure it out?

Big Ideas

Attending to and using structure

Comparing quantities

Equal means the same

Composing and decomposing number

Thinking in equal groups

Connecting area and multiplicative thinking

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Ask

What patterns do you see?

How could you extend (or add onto) this pattern?

Where would you add and what would you add? Why?

Big Ideas

Attending to and using structure

Equal means the same

Seeing and creating patterns

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Ask

What patterns do you see?

How could you extend (or add onto) this pattern?

Where would you add and what would you add? Why?

Big Ideas

Attending to and using structure

Composing and decomposing number

Thinking in equal groups

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

How many do you see?

How you you know?

How do you see it?

What did you notice about the animals that helped you count?

Big Ideas

Seeing mathematics in the world

Composing and decomposing number

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

Which is more?

How do you know?

How did you see it?

What did you notice that helped you compare?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Connecting number and quantity

Comparing quantities

Equal means the same

Composing and decomposing number

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Ask

How could you organize?

What do you notice about the vegetables and fruits that could help you organize them?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Sorting, organizing, and using attributes

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Ask

Where can you find an array?

Take a picture, sketch it, or bring it with you to show the array you found.

Bring back at least one example of an array.

Off you go!!

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Thinking in equal groups

Connecting area and multiplicative thinking

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

Where can you find a square?

You can take a picture, make a sketch, or bring objects to show.

Off you go!!

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Sorting, organizing, and using attributes

Composing and decomposing with shapes

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Ask

Which is more?

How do you know?

How did you see it?

What did you notice that helped you compare?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Connecting number and quantity

Comparing quantities

Equal means the same

Composing and decomposing number

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This picture shows 6

Where do you see 6 in this picture?

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Ask

What do you notice?

What do you notice about the different parts of this image?

What relationships do you see?

What do you wonder?

Big Ideas

Posing mathematical questions

Connecting number and quantity

Comparing quantities

Equal means the same

Seeing and creating patterns

Sorting, organizing, and using attributes

Using units to count, measure, and compare

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Ask

What’s missing?

What shapes could fill the empty space?

How do you know?

What do you notice that could help you?

Big Ideas

Attending to and using structure

Equal means the same

Relating part and whole

Sorting, organizing, and using attributes

Composing and decomposing with shapes

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Ask

What do you notice?

What stands out to you?

What relationships do you see?

How can you describe those relationships?

What do you wonder?

Note: For younger students, the rods can be conceived of as representing whole numbers, but for students in older grades, you can focus on part-whole fractional relationships. Even young students may also point out relationships of half, third, or quarter.

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

What PATTERNS do you see?

https://multiplicitylab.northwestern.edu/videos/#patterns

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Ask

What’s missing?

What shapes could fill the empty space?

How do you know?

What do you notice that could help you?

Big Ideas

Attending to and using structure

Equal means the same

Relating part and whole

Sorting, organizing, and using attributes

Composing and decomposing with shapes

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Ask

What do you notice?

What stands out to you?

What relationships do you see?

How can you describe those relationships?

What do you wonder?

Note: For younger students, the rods can be conceived of as representing whole numbers, but for students in older grades, you can focus on part-whole fractional relationships. Even young students may also point out relationships of half, third, or quarter.

Big Ideas

Posing mathematical questions

Attending to and using structure

Connecting quantity and number

Composing and decomposing number

Relating part and whole

Using units to count, measure, and compare

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

What patterns do you see?

How could you extend (or add onto) this pattern?

Where would you add and what would you add? Why?

For Grades 1 and up: How many dots would there be then?

Big Ideas

Attending to and using structure

Equal means the same

Composing and decomposing number

Thinking in equal groups

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

About how many blocks are there?

How do you know?

What do you notice that can help you estimate?

What makes estimating hard?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Decomposing and using benchmarks to estimate

Composing and decomposing with shapes

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Ask

What patterns do you see?

How could you extend (or add onto) this pattern?

Where would you add and what would you add? Why?

Big Ideas

Attending to and using structure

Equal means the same

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

What patterns do you see?

Where do you see them?

What do you notice repeats?

Big Ideas

Seeing mathematics in the world

Attending to and using structure

Seeing and creating patterns

Composing and decomposing with shapes

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Ask

Which is more?

How do you know?

How did you see it?

What did you notice that helped you compare?

Big Ideas

Attending to and using structure

Comparing quantities

Equal means the same

Composing and decomposing number

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Ask

What’s missing?

What shapes could fill the empty space?

How do you know?

What do you notice that could help you?

Big Ideas

Attending to and using structure

Equal means the same

Relating part and whole

Sorting, organizing, and using attributes

Composing and decomposing with shapes

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Ask

How many squares are shaded?

How do you know?

How did you see it?

How could we represent what you saw with numbers and symbols?

Big Ideas

Attending to and using structure

Composing and decomposing number

Relating part and whole

Thinking in equal groups

Connecting area and multiplicative thinking

Composing and decomposing shapes

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Ask

What patterns do you see?

How could you extend (or add onto) this pattern?

Where would you add and what would you add? Why?

Big Ideas

Attending to and using structure

Composing and decomposing number

Thinking in equal groups

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

Are there more orange fish or striped fish?

Are there more total stripes or total spots?

How do you know?

What do you notice that can help you decide?

Big Ideas

Seeing mathematics in the world

Connecting number and quantity

Comparing quantities

Composing and decomposing number

Sorting, organizing, and using attributes

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Ask

What patterns do you see?

How could you extend (or add onto) this pattern?

Where would you add and what would you add? Why?

For Grades 3 and up: How many dots would there be then?

Big Ideas

Attending to and using structure

Composing and decomposing number

Thinking in equal groups

Seeing and creating patterns

Sorting, organizing, and using attributes

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Ask

Are there more red squares or green squares?

How do you know?

How did you see it?

How could you figure it out?

Big Ideas

Attending to and using structure

Comparing quantities

Composing and decomposing number

Thinking in equal groups

Connecting area and multiplicative thinking

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Are there more green squares or orange squares?

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Ask

Are there more green squares or orange squares?

How do you know?

How did you see it?

How could you figure it out?

Big Ideas

Attending to and using structure

Comparing quantities

Composing and decomposing number

Thinking in equal groups

Connecting area and multiplicative thinking

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Which is More?

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Ask

Which is more?

How do you know?

How did you see it?

What did you notice that helped you compare?

Big Ideas

Attending to and using structure

Comparing quantities

Equal means the same

Composing and decomposing number

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How many squares are missing?

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