# Number and operations photos

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How many rows of apples are there? How many columns?

How many apples are there in total? How do you know?

What are some different ways we can find the total number of apples?

If I use half of the apples to make pie, how many apples will be left?

How else can I rearrange this many apples into rows and columns?

If I rotate this container of apples 90 degrees, will I still have the same number of apples? How many rows and columns will I have then?

What shape are the apples? What can you tell me about this shape? Can you think of anything else that’s the same shape as an apple?

How many groups of bagels are there?

How many bagels are in each group?

How many bagels are there in total?

How are these 2 groups the same? How are they different?

Can we create a graph to show the number of bagels in each bag?

If each person wants to eat one bagel, how many people can we feed?

If each person wants to eat half a bagel, how many people can we feed?

If each person wants to eat 2 bagels, how many people can we feed?

If I eat two bagels, how many will I have left? What if I eat half the bagels, how many will I have left?

How many benches are there?

How many groups or rows of benches do you see? How many benches are in each group? How many is that altogether?

If we add another group of benches, how many will we have?

About how many people can fit on one bench? If that many people fit on one bench, how many people will fit on all 4 benches?

Let’s say we have 12 people who want to sit down. If they sit so that there’s an even number of people on each bench, how many people will sit on each bench? What if we have 20 people instead?

What shapes make up the bench?

Do you see any examples of symmetry? Where would you draw a line of symmetry in this picture?

How many bicycles are there? How many wheels does each bicycle have? How many wheels is that in all?

How many people can ride these bikes?

If a person comes and takes one bicycle away, how many will be left? If three people come and take 3 bicycles away, how many will be left?

Which bike would a tall person ride? Which bike would a shorter person ride?

How many more bicycles can we fit on this bike rack? How many wheels would all of those bicycles have?

What different types of lines do you see?

Which fruit is the most expensive to buy? Which fruit is the least expensive?

If I buy 10 mandarins, how much will it cost? What if I buy 8 mandarins?

If I have $10 to spend on fruit, what are some things I can buy?

About how much do you think 5 mandarin oranges weigh?

About how much will 1 full bag of grapes cost?

Will I spend more money if I buy 2 pounds of grapes or 3 pounds of pears?

Will I spend more money if I buy 4 pounds of nectarines or 2 pounds of grapes?

How many eggs are there? Is that more or less than a dozen eggs?

How many rows of eggs are there? How many columns?

What are some different ways we can find the total number of eggs?

How many dozens of eggs do I have?

How else can I arrange these 24 eggs in rows and columns?

Do I have an odd number of eggs or an even number of eggs? How do you know?

If I cook one row of eggs, how many will be left?

If I want to share these eggs with 8 people, how many eggs will each person get? What if I want to share these eggs with 7 people?

How many decorative white squares are there?

How many groups of white squares do you see? How many squares in each group?

What are some different ways we can find the total number of squares?

If we divide the wall in half, how many white squares will there be in each half?

If we divide the wall in fourth, how many white squares will there be in each fourth?

How many pieces of fruit do you see? Are there more lemons or kiwis? How many more lemons are there? How did you know?

What percent/fraction of the fruit are lemons?

What percent/fraction of the fruit are kiwis?

What is the ratio of lemons to kiwis?

What is the ratio of lemons to fruit?

What is the ratio of kiwis to fruit?

What would you need to do to make the ratio of lemons to kiwis 1:1?

How many columns or piles of blue crates are there? Which column has the most crates? Which column has the fewest crates? About how many more crates are in the tallest than the shortest columns?

How can we show the number of crates we see with a graph?

Let’s estimate how many crates we see in each pile and then count to see how close our estimates are.

About how many crates would we need to add to each pile to make them equal?

How many shopping carts are in the first column? How many are in the second column? How many is that altogether?

Which column has more shopping carts? Which column has fewer?

How could you rearrange them so that you have the same number of shopping carts in each column?

If 2 people bring back shopping carts, how many will there be?

How many shopping carts do you need to add to the second column to make the groups equal?

If 3 people take a shopping cart, how many will be left?

How many piles of lily pads are there? Which pile has more lily pads? Which has fewer?

Let’s make an estimate: About how many lily pads are in the larger pile? About how many are in the smaller pile? What’s the difference between the two?

Do you see any reflections in the photo? Where would you draw a line of reflection?

How many piles of chairs are there? Which pile has the most chairs? Which pile has the fewest chairs? (encourage students to answer using ordinal words: the first, second, third, or fourth).

About how many more chairs are in the tallest than the shortest piles?

How can we show the number of chairs we see with a graph?

Let’s estimate how many chairs we see in each pile and then count to see how close our estimates are.

How could we rearrange these piles of chairs so that there’s about the same number of chairs in each pile?

About how many chairs would we need to add to each pile to make them equal?

How many stools are there? How many people can sit on all these stools?

If we want to rearrange these stools into 2 columns, how many stools will we put in each column? If we rearrange these stools into 3 columns, how many stools will we put in each column?

If we divide these stools in half, how many will be in each group? What if we divide the stools into three groups, how many will be in each group?

If we take away 1 stool, how many will be left? What if we take away 2 stools? 4 stools?

How many groups of windows are there? How many window panes in each group? How many window panes is that in all?

How many different ways can we find the total number of windows panes?

What shapes do you see? How are those shapes similar? How are they different?

How many groups of white columns are there? How many columns in each group?

How many white columns are there in all?

Are there an even number of groups or an odd number of groups?

Are there an even number of columns or an odd number of columns?

If we make our wall longer and add another group of 5 columns, how many will we have altogether?

What’s another way to rearrange 20 columns into groups?

Does each group have the same number of columns?

How many pairs of shoes are there?

If there are 4 pairs of shoes and each pair has 2 shoes, how many shoes is that?

Which pair of shoes is first in line? Second? Third? Fourth?

How many pairs of shoes are mostly white? What fraction/percent of the shoes are mostly white?