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The purpose of this How Many Do You See? is to allow students to use subitizing or grouping strategies to describe the images they see.
How many do you see?
How do you see them?
The purpose of this activity is for students to make sense of and solve Add To and Take From, Change Unknown story problems in a way that makes sense to them. Students represent the method they used and different methods are discussed during the Activity Synthesis. When students connect the quantities and action in each story problem to an equation and then solve the problem, they reason abstractly and quantitatively (MP2).
The teacher may want to incorporate movement into this activity by writing each problem on a piece of chart paper and placing each one in a different location around the classroom. Students can solve the problem at one location, discuss the problem with their partner, then move on to a new problem at a new location.
Solve each problem.
Show your thinking using drawings, numbers, or words.
Some more turtles join them.
Now there are 15 turtles.
How many turtles join the group?
17 penguins sit on the rocks.
Some of the penguins jump into the water.
Now 5 penguins sit on the rocks.
How many penguins jump into the water?
The trainer brings out a bucket of 20 fish.
The seals eat some of the fish.
Now there are 3 fish left in the bucket.
How many fish do the seals eat?
In the touch pools, Tyler touches 6 stingrays.
Then he touches some sea stars.
Tyler touches 14 animals all together.
How many sea stars does Tyler touch?
The purpose of this activity is for students to consider different ways to solve for the unknown in a Take From, Change Unknown problem. Students are presented with an equation that represents the order of the actions in the story. However, students often find that this equation is less intuitive to find the unknown value than an addition equation with an unknown addend. Students may also share the ways they use known sums and differences and how they make a 10 to find the unknown number.
In this activity, students show their understanding of the relationship between the quantities in the problem and their understanding of the relationship between addition and subtraction to share ways to solve the problem (MP2, MP7).
Clare watches 16 bullfrogs at the aquarium.
Then some of them swim away.
Now Clare can only see 9 bullfrogs.
How many bullfrogs swim away?
Andre wrote , but he doesn’t know how to find the unknown number.
Show Andre how you would find the unknown number.
Show your thinking using drawings, numbers, or words.
Display one of the story problems from the lesson.
“Today we solved story problems where we knew how many of something there was at the beginning and at the end, but we didn't know how much it changed in the middle of the story. We looked at addition and subtraction methods that can be used to make sense of and solve these problems.
Explain to your partner why it works to use addition or subtraction to solve these problems.” (You can use addition to add on to one number until you get to the total. The number you added on is the unknown number. You can use subtraction to start with the total and take away the other number you know. The number you have left is the unknown number.)