Pythagorean theorem lesson aligned to the Common Core Standards
By Cameron Pipkin
This Pythagorean theorem lesson aligned to the Common Core Standards comes from math teacher Megel Barker (you can see more of his work at https://www.youtube.com/user/whynvme1?feature=watch). It does a pretty good job of connecting math to objects in students’ lives, and should help increase engagement.
This Pythagorean theorem lesson aligned to the Common Core Standards is aligned to CCSS.Math.Content.8.G.B.7
How Big Is My Screen?
Pythagorean theorem made real by connecting the size of television screens to the hypotenuse of a RAT.
- To investigate patterns in numbers
- To know how to find the size of a mobile phone screen
- Find the sizes of different screens using the Pythagorean theorem.
- Match the cards with the other that is exactly the same
- In your pairs, decide what these numbers are called and suggest what keywords you could you think of
- Look for a connection between them
In this Pythagorean theorem lesson aligned to the Common Core Standards, learners are given cards with information such as “3 squared,” and asked to seek out the matching answers. This is done with Tarsia domino software and grouped from 1–10 (higher for better groups). Learners will then seek connections between the square numbers, hence Pythagorean triples. This is better as a group activity. It introduce history of Pythagorean triples.
3) Pythagorean Triples
- Are whole numbers
- Eg. 3, 4 and 5 are a PT since 9 + 16 = 25
- Can you find any others?
- For homework, see if you can find others.
Following on from previous slides. Make sure to set homework to find others that are co-prime (could be a challenge to class).
4) How Big Is My Screen?
In this Pythagorean theorem lesson aligned to the Common Core Standards, relate a fictitious story of TV shopping and finding it difficult to understand why TVs with same size have different shape. Find out what the measurement is of a 50 inch TV. Link this to a right angle and hence keyword hypotenuse = diagonal of rectangle etc.
5) Where is the Hypotenuse?
This is a simple activity to locate a hypotenuse. Print this screen for the class to work on. This is a vital skill in doing Pythagorean theorem.
6) Pythagoras’ Theorem
Here you can share the formula and connect c to hypotenuse.
7) How Big Is My iPad?
In this Pythagorean theorem lesson aligned to the Common Core Standards, use the theorem to find iPad screen size. Model working out and emphasizing the square root function.
8) How Big Are the Screens?
9) What Have We Learned Today?
Recap keywords, hypotenuse, diagonal; reset HW on finding triples, explanations on how to do it, could even provide a wrong answer for them to correct.