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You are reading an older version of this FlexBook® textbook: Algebra Explorations Concepts, Pre-K through Grade 7 Go to the latest version.

Look at the picture below. Can you figure out how many moths you could get for 4 centipedes? In this concept, we will learn about trading and calculating the result of a trade.

Guidance

In order to solve the trading problem above, use the problem solving steps.

  • Start by describing what information is given.
  • Then, identify what your job is. In these problems, your job will be to figure out how many of another type of critter you could get for the critters you have.
  • Next, make a plan for how you will solve. In these problems, write numbers on each of your critters and skip count to figure out how many of the new critter you will get.
  • Then, solve the problem.
  • Finally, check your solution. Make sure that you added the numbers correctly.

Example A

Look at the picture below. For 3 spiders, how many bees will you get? How did you figure it out?

Solution:

We can use the problem solving steps to help us.

& \mathbf{Describe:} && \text{There are two different critters.}\\&&& \text{For 1 spider I get 2 bees.}\\& \mathbf{My \ Job:} && \text{Figure out how many bees I get for 3 spiders.}\\& \mathbf{Plan:} && \text{Write 2 on each of the 3 spiders.}\\&&& \text{Then skip count the 2s.}\\& \mathbf{Solve:}

& \mathbf{Check:} && 2 + 2 + 2 =6

Example B

Look at the picture below. For 4 grasshoppers, how many butterflies will you get? How did you figure it out?

Solution:

We can use the problem solving steps to help us.

& \mathbf{Describe:} && \text{There are two different critters.}\\&&& \text{For 1 grasshopper I get 3 butterflies.}\\& \mathbf{My \ Job:} && \text{Figure out how many butterflies I get for 4 grasshoppers.}\\& \mathbf{Plan:} && \text{Write 3 on each of the 4 grasshoppers.}\\&&& \text{Then skip count the 3s.}\\& \mathbf{Solve:}

& \mathbf{Check:} && 3 + 3 + 3 + 3 =12

Example C

Look at the picture below. For 5 flies, how many ants will you get? How did you figure it out?

Solution:

We can use the problem solving steps to help us.

& \mathbf{Describe:} && \text{There are two different critters.}\\&&& \text{For 1 fly I get 3 ants.}\\& \mathbf{My \ Job:} && \text{Figure out how many ants I get for 5 flies.}\\& \mathbf{Plan:} && \text{Write 3 on each of the 5 flies.}\\&&& \text{Then skip count the 3s.}\\& \mathbf{Solve:}

& \mathbf{Check:} && 3 + 3 + 3 + 3 +3= 15

Concept Problem Revisited

We can use the problem solving steps to help us.

& \mathbf{Describe:} && \text{There are two different critters.}\\&&& \text{For 1 centipede I get 3 moths.}\\& \mathbf{My \ Job:} && \text{Figure out how many moths I can get for 4 centipedes.}\\& \mathbf{Plan:} && \text{Write 3 on each of the 4 centipedes.}\\&&& \text{Then skip count the 3s.}\\& \mathbf{Solve:}

& \mathbf{Check:} && 3 + 3 + 3 + 3 = 12

Vocabulary

To trade means you give something and get something else back. In this concept, we calculated what we would get if we traded critters.

Guided Practice

1. For 10 scorpions, how many wasps will you get?

2. To get 6 worms, how many daddy long legs will you need to trade?

3. To get 24 ants, how many lizards will you need to trade?

Answers:

1. 40

2. 3

3. 4

Practice

  1. For 10 daddy long legs, how many worms will you get?
  2. To get 12 worms, how many daddy long legs will you need to trade?
  3. To get 18 worms, how many daddy long legs will you need to trade?

  1. For 8 flies, how many ants will you get?
  2. To get 35 ants, how many flies will you need to trade?
  3. To get 45 ants, how many flies will you need to trade?

  1. For 6 grasshoppers, how many wasps will you get?
  2. To get 42 wasps, how many grasshoppers will you need to trade?
  3. To get 24 wasps, how many grasshoppers will you need to trade?

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Difficulty Level:

At Grade

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Date Created:

Jan 18, 2013

Last Modified:

May 27, 2014
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