This week's FREE Common Core Math Quiz domains are Number and Operations - Fractions for grades 3-5, Ratios and Proportional Relationships for grades 6-7, and Functions for grade 8. They will be added onto last week's domains in the same document.
Follow the links below the Raffle to download your grade level Quiz! (3-8)
The Raffle Winner from Week 2 is
Marcy Philo, Congratulations!!!
I will be contacting you by email to choose the grade level Assessment Bundle that you would like.
If you didn't win this time, come back next week to try again!
Fractions blocks are essential for teaching those elementary skills like modeling equivalents and performing operations, but I also use them when I teach ratios. Fractions are also ratios! and middle school kids may find this easier to master when they make this visual connection. Once that can visualize a ratio, they can always draw themselves a picture, or use manipulatives when they need to work with ratios.
Here's a fun extension activity comparing fractions and ratios. Ask kids to figure out how many groups of a fraction they will need to make a whole number, and which whole number they will get.
Example: 1/3 x 3 or 1/3, 3 times, will make 1 whole.
2/3 x 3 or 2/3, 3 times, will make 2 wholes, but it is impossible to make one whole? Why not?
2/3 x 3 or 2/3, 3 times, will make 2 wholes, but it is impossible to make one whole? Why not?
What other whole numbers can be made by multiplying 2/3?
4/5 x 5 or 4/5, 5 times, will make 4 wholes... Is it possible to make 1, 2 or 3 wholes? Why not?
Do they see a pattern yet? What is it?
What other fractions will give us this pattern?
Ratios also appear when multiplying and dividing fractions by fractions. The last few problems in the Modeling Multiplication and Division Fraction Families project (download the preview problems and answers for free in a word document) are especially challenging and most of my students got them wrong the first time because they don't know what to look for, or what division of fractions really means.
The Common Core standards ask students to be able to represent multiplication of fractions using a rectangular array, I like this site for online manipulatives, Fractions - Rectangle Multiplication, but I find the fraction blocks can do the same job and it's a different way to understand it.
Example: 1/3 x 1/4 = 1/12 This means 1/3 of 1/4 or 1/4 of 1/3 which is 1/12 either way. (Commutative Property).
Example: 1/3 ÷ 1/4 = 4/3 = 1 1/3 ...because 1/4 fits into 1/3 one whole time, and 1/3 of a time.
1/3 divided into fourths means, "How many fourths can fit into 1/3?" What kids have to remember is that the 1/3 and 1/4 have to relate to the same whole. It does not mean 1/3 of 1/4, as in multiplication.
The ratio that exists when dividing 1/3 and 1/4 is 4:3. This can also be thought about as the common factor, 1/12. 4 x 1/12 = 1/3 and 3 x 1/12 = 1/4
The Commutative Property does not apply to division, so when the problem gets reversed, the ratio gets reversed. The ratio that exists when dividing 1/4 and 1/3 is 3:4.
Example: 1/4 ÷ 1/3 = 3/4 ...because 1/3 fits into 1/4 three quarters of a time, NOT one whole time.
Whew! This is hard for me to keep track of until I can draw it out and look at it! When kids can see where the 3/4 and 1 1/3 come from based on a drawing, they have another strategy to fall back on when solving problems. The Common Core standards ask a lot of kids; and considering that 5th grade is the first and only year that all four fraction operations are taught, some middle school kids still need time to master and connect these concepts to the 6th-8th grade ratio standards.
Raffle Week 3 - $25 TpT Gift Certificate!
Sometimes you just need something different, so this week's "Happy New School Year" Raffle will be a $25 gift certificate to Teacherspayteachers.com so you can buy almost any resource from any seller you want! The winner will be notified by email and listed in the blog post for the following week.The easiest way to keep track of the weekly Raffles is by following Mrs. L's Leveled Learning blog on Blog Lovin', by email Newsletter, or by Facebook.
Click on the links below for this week's Common Core Domains NF and RP!
Each Quiz has one math problem for each Common Core standard in that domain. The number corresponds to the standard number. Each problem has the learning goal stated to help kids focus on the goal and make the connection between the quiz, and their work in the standards.
Thanks for stopping by.
Check back next week for this week's raffle winner
and the next raffle and quiz domain!
I teach 2nd grade, but have recently signed up to tutor 4th/5th grade students in an after school program. Thank you for the resources and posts that will help me help these kids!
ReplyDeleteThanks for stopping by MaryAnn. Let me know if there are any specific topics or math content you'd like to hear about!
DeleteGreat ideas!!
ReplyDeleteThanks!!
ReplyDeleteSetting goals "for" students and helping them to learn to set goals for themselves and track their progress is such a vital component for effective teaching AND learning. Thank you so much for sharing you expertise in this area and for supporting all of us through this process! :)
ReplyDeleteThanks for the comments Jody - let us know how it's going for you! :)
DeleteGreat video on learning scales!
ReplyDeleteThanks for the comment Suzy, I hope you found it helpful. All of the resources in that video have free versions to get you started if you're not already using scales for math. Just click on my "FREEBIES" tab or visit my TpT store. :)
DeleteMath concepts are often so challenging for students. Your fractions quizzes look like they would help students visualize as they learn.
ReplyDeleteMichele Luck
A Lesson Plan for Teachers
Hi Michele, I did find that my students appreciated seeing examples of each learning goal, and each step in the scale. It helped them and me feel like the expectations were more manageable.
DeleteThank you for the great fraction ideas!
ReplyDeleteThank you for such great ideas!
ReplyDeleteGreat ideas for MS! Fractions are something we always need to know!
ReplyDeleteMy district is into Marzano and students being responsible for their own learning too! It is our initiative this year. Thank you for the giveaway. :)
ReplyDeleteThe Marzano teacher evaluations add an extra level of stress and urgency to implementing scales. At first it felt like just another big requirement to create and use them, but I noticed my students really responded to it. The time it took to get organized paid off in the classroom! :)
DeleteAny math activity that makes learning fun is a WINNER in my book. This definitely deserves that title.
ReplyDeleteHappy Teaching,
Connie
Thanks so much for this post. Lots of great tools. I tutor 6th graders and your store is great!
ReplyDeleteI really like how the goals are stated in your quizzes. This is so helpful for students. Thank you for the giveaway.
ReplyDeleteTotally love the idea of providing goals that the kids can relate to. Excellent idea! I enjoy your blog. Thank you.
ReplyDeleteListing the standards is a great visual for both the teacher and the students. We post our standards in our room also. Thank you all the goodies!
ReplyDelete