## Chocolate Milk and Mixture Understanding

Chemistry experiments and algebra problems sometimes ask students to create percent mixtures or to change a mixture into a stronger or weaker solution by adding more of an ingredient. Students often have difficulty isolating the key concepts involved in this sort of problem. This investigation introduces the notion of changing percent mixtures through a fun class day that ends with a yummy treat.   This activity is perfect for a middle school algebra class or any high school math class.  Students set up and solve equations to solve mixture problems.

Classroom activity:  Teachers-Guide-Choc-Milk-and-Mixture-Problems.pdf

Classroom student practice:  chocolate-milk.pdf

CCSS: 8.EE.7, HSA.CED.1

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Everyone is talking about the new Apple creation. Use Brian's activity to analyze its costs, price per GB, and sales predictions.

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## Geometry of Flooding

In 2010, March was so rainy that flooding was the topic of every newscast and many, many conversations.  The picture shows how students went home from school in Wayland Mass. on March 31st - on a Duckboat.

This two page investigation asks students to calculate the volume of water generated by inches of rain spread over the surface area of Massachusetts. Specific river catchment areas are then considered to understand the actual voluminous rise of the Sudbury River. Once the volume of water is calculated, students are asked to find approximate river depth change.  This activity could be used in any science or math class, especially if flooding in in the news in your area or nationally.

Geometry-of-flooding.pdf

CCSS: 5.MD, 6.G, 6.EE, 6.RP, 7.G, 7.RP, HSG, HSF

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## Two to the … s

Let your students practice exponents, fractional exponents, and roots with this powerful assignment that asks them to compute impressive mathematics in their heads.

If you list the values of various 2 to the ... s

$2^8 = 256$
$2^{12} = 4,096$
$2^{14} = 16,384$
$2^{20} = 1,048,576$
$2^{28} = 268,435,456$

then you can ask students to calculate all kinds of amazing math in their heads.  It's like magic!

$256\times4,096$

$\displaystyle \frac {1,048,576}{4,096}$

or  $\sqrt {268,435,456}$

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