Wednesday, June 11, 2014

Assessments (Formative and Summative)



These will be the guiding questions (essential questions) that accompany the students’ final assessment:
How would you choose to re-name prime, composite, and square numbers? How would you explain your newly named numbers to a classmate? What types of examples would you use in your explanation?

The final presentation will be graded on a points rubric as follows:

Word (Term) Choice  ________/ 20
Examples                     ________/ 20
Presentation                ________/ 20
Explanation                 ________/ 40
Total                            ________/ 100

Throughout the first four days, students will have formative assessments.

1.      Students will be given grades for completing their homework from night one (a list of examples).
2.      Students will be given a grade for completing their think, pair, and share definitions.
3.      Students will receive grades for completing their poster definitions.
4.      Students will complete a round of “Around the World” to demonstrate their knowledge. (not a grade- just formative)
5.      Students will complete a short quiz demonstrating what they have learned.
6.      Students will compare and contrast their initial explanations with their final explanations to recognize any inconsistencies or confusion they may have had.
7.      Students will complete a PowerPoint presentation as their summative assessment.

Weekly Agenda



 Assuming this class operates on a 45-50 minutes class schedule, I would use the introductory activity for all of day one. Students would be given homework to complete for the night, but it’s short and relevant to the next day’s lesson.

Day two will begin with students completing a review game on the board. They will use the website http://coolmath.com/prealgebra/00-factors-primes/index.html to have a quick class review on the differences between composite and prime numbers. We will also review to make sure students understand what a square number is by referring to this site. http://www.mathsisfun.com/definitions/square-number.html Students will then use their own sheet of paper to construct definitions for each mathematical term. They will use this to spark a think, pair, and share for students to discuss how they would explain each term. Students will then show their homework examples to their partner and discuss whether they have completed the assignment correctly. Students will then be allowed to share their definitions on a small piece of poster paper. They will display these and students will visit each of the posters in a “museum” setting. At the end of class students will be asked to vote on which definitions they found most useful.

Day three will begin with the definition winners’ posters being placed in the front of the room. Students will then play an “Around the World” game in which they must identify the number as prime, composite, or square (square and composite numbers are sometimes interchangeable but students should recognize a square number to get it correct). This activity serves as a formative assessment. At this moment, students will show whether they have been able to grasp the basic concept of the new mathematical terms.

I will then give students the directions to their final assessment for the unit.

YOU are the new mathematician that has busted onto the scene of mathematics. You no longer accept the words that have been assigned to prime, composite, and square numbers. You want to change things up and maybe make learning these terms easier for students. After all, you did have to learn them when you were once a wee tot!

Your mission is to rename prime, composite, and square numbers with a word of your choosing (while remaining appropriate!). You must explain your reasoning for changing the original terms to your new ones. You must convince the board of Mathematic Scholars that you will forever change the math world and increase more interest in math in schools.

You must complete a PowerPoint presentation for each of the three changes you suggest. You also must provide examples (3) of each term. Be sure that you can explain the definitions because that will be a part of your grade!

Good luck, ya ole mathematician!

Students will be able to begin brainstorming before they leave class.

Day four will begin with students taking a short quiz over the terms and using the definitions to identify examples. The rest of the class time will consist of students using a computer lab to create their PowerPoint presentations. Students will save and send any work they have not completed to be completed at home.

Day five will consist of student presentations. They will take turns and keep their presentations brief and to the point. They will be graded on their word choices, explanations, examples, and presentation. The grade will be focused around their explanations because this best demonstrates if they have understood the concept of prime, composite, and square numbers by allowing them to interpret them into their own words.

Engaging Activity



My initial engagement for this activity will begin with a group activity. Students will be given a number as they walk into the classroom. They will be seated at that group for the beginning of the lesson. I plan to direct students to act as mathematicians. I want them to look at numbers and see what types of patterns they can find. Are there any that look the same? Is there a commonality? How did they discover it?

I will allow students time to work within their groups to examine the numbers I pass out. I will have separated numbers into composite, prime, and square numbers. I hope that by doing this that students may be able to determine at least what the prime and square numbers may all have in common. We will also discuss what exactly a square number is too. Students should notice that square numbers are also composite numbers, thus combining the groups together.

Next, I would project this website onto the board Math is Fun! and use it to help students better recognize and understand exactly what a prime number is and what a composite number. Students will be asked to come up with 3 examples for each term using numbers over 100.

My class will use online resources for a review game the following day. They will play a quick game  in which they must determine whether one number is prime or composite. I would then ask students to write down how they would explain these to another student. The students will now complete a think, pair, share by combining their new definitions with their list of numbers they have compiled.

The purpose of these activities is to lead to the summative assessment which will consist of students creating words that they would replace “prime”, “composite”, and “square” with while explaining their reasoning and including examples. Students will complete the activity by creating a PowerPoint and presenting their final assessment. They will be able to act as mathematicians and create their own “math” language to demonstrate full understanding of what the functions of each terms are.