Write equations for real-world situations.
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In this lesson, students encounter real-world problems and either identify or write equations to represent the situations. This requires students to abstract the situations and use symbols in place of verbal descriptions (MP.2). In future lessons, students will also re-contextualize these equations and symbols to understand what they mean in the situation.
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Decide which of the following equations best represents each situation.
$$x+2=10$$ | $$x=10+2$$ | $$2\cdot 10=x$$ |
$$x+10=2$$ | $$10x=2$$ | $$2x=10$$ |
Which goes with Which?, accessed on Feb. 27, 2018, 1:33 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
At a market, a farmer sells apples for $1.33 per pound. At the end of a weekend, the farmer made $74.48 from selling apples.
Which equation can be used to determine $$x$$, the number of pounds of apples the farmer sold over the weekend?
On Saturday, Brad ran $${1{3\over4}}$$ miles in the morning and then later went for a run in the evening. He determined that he ran a total of $${4{1\over4}}$$ miles on Saturday.
Olivia usually runs the same distance every morning. On Sunday, Olivia went for a longer run and ran 4.6 km. This was twice her normal running distance.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Hodan is planting flowers around her apartment building. The total distance around her building is 120 feet, and she wants to plant a flower every $${4{1\over2}}$$ feet.
Let $$x$$ represent the number of flowers Hodan plants around her apartment building. Write an equation she can use to determine how many flowers she’ll need.
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