ws-equationsolving-fractions-2.pdf

ws-mathcounts-20161122-OPLET.docx

**In class** today students worked on equation solving and mathcounts problems. I notice that generally they are comfortable solving multi-step equations like (equation 1)

But many students were not sure how to solve (equation 2):

So we did this example in class. I showed students that **division** can be **distributed** just like multiplication so we can turn the equation into

and then solve it. Or, we can notice that if two fractions are equal, *then their cross products are equal. *For example, it is also the case that . This is true for *all *equivalent fractions and so another way to approach solving equation 2 is to find the **cross products** and set them equal

And solve from there

And finally,

**Assignment [handouts attached]**

- Equations worksheet
- Mathcounts worksheet

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