7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.
Minnesota State Standard – History Sub-strand 4, Standard 15 “North America was populated by indigenous nations that had developed a wide range of social structures, political systems, and economic activities, and whose expansive trade networks extended across the continent.”
20- 30 Minutes
Device with web-browser – Chromebook, laptop or desktop computer, phone or tablet
The two videos here combine math and social studies, because, clearly, the Maya understood math. The concept of distributions is introduced in the context of trading, explaining why some objects are more valuable. Students play AzTech: The Story Begins, which reviews fractions and measures of central tendency. The lesson concludes with a question and another video on distributions.
1. Watch video
The Mayan trading video is based on an idea from one of my favorite history teachers, who says that history is more than just names and dates but also how people lived, what they used, what they did. It also has a bar chart of the relative value of objects. It explains that the Maya traded less common items for more common ones and that items that were more difficult to obtain were more valuable.
2. Play AzTech: The Story Begins
Next, have students start the AzTech games series. They can play AzTech: The Story Begins on line or using an iPad. We recommend downloading the game onto your iPhone or iPad for better performance.
3. Question to test understanding
José tried to trade a banana for a quetzal feather and a villager threw a spear at him. Why would the villager do that? Explain using math. Extra points if you can discuss distributions in your explanation.
4. Video giving the answer to the word problem on distributions
This five-minute video introduces distributions and variability and gives an example of computing a weighted mean from a frequency distribution.
OPTIONAL You can also copy this Google slides presentation to your own classroom if you’d rather modify the explanation for your own lecture. The slides can also be printed out and sent home with students who do not have Internet access.
You can view your students’ progress on mastering these standards by viewing your teacher reports. AzTech: The Story Begins links can be found on this reports page. You should have received a password during the Growing Math training.
Minnesota State Standard 188.8.131.52 – Determine the sample space (set of possible outcomes) for a given experiment and determine which members of the sample space are related to certain events. Sample space may be determined by the use of tree diagrams, tables or pictorial representations.
Distributions and Mayan Trading (Bilingual English & Spanish) – This lesson is a bilingual version of the lesson above and features resources in English and Spanish.