Tag Archives: numbers

Numbers & Operations- Fractions: A Common Core Math Series


This post is a continuation of yesterday’s post Numbers & Operations in Base 10. Fractions are a part of this number system- with every decimal place indicating a multiple of a negative power of 10.

What is included in the standard Numbers & Operations- Fractions? Simply put this is everything fractions- with the degree of difficulty being dependent on the grade level of the student. Some examples of these skills include performing operations (addition, subtraction, multiplication, division) using fractions, comparing fractions, and understanding the decimal system.

When should I start teaching my child fractions? As early as possible (Although it is not part of the common core until third grade). I am a big advocate for communicating with your child using math terminology even at a young age. So your 2 year old might not understand equivalent fractions perfectly, but you can ask them if they want half a sandwich or a whole one. And then you can smile because you just had a mini math lesson during lunch. 🙂

What resources are available to help my child learn fractions? Just as in our previous posts, there are TONS of resources available! Of course in the interest of time I won’t share everything I have found, but this is a good start.

There are some great apps for the android users that include The Digits: Fractions Blast, Equivalent Fractions, and Motion Math: Fractions.  In the iTunes store you will find fraction apps like Pizza Fractions, The Digits: Fraction Blast, Jungle Fractions, Decimals!!!, and Motion Math. Again there are so many more apps available- this is just a small sampling of what you can download to help your child learn and better understand fractions.

Here is a list of Numbers & Operations- Fractions literature that you can read with your child.


Here is a list of some teacher resources. Manipulatives are important in helping your child understand math concepts, including fractions. I didn’t include any in this list because you can use everyday items such as pizza, apples, straws, paper… anything you can cut in pieces!  Using items your child is exposed to on a frequent basis will help them better relate to using fractions in the real world.

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I have never written an entire post about activities I have done with my daughter using fractions. However, in our post 20 Activities With Sidewalk Chalk, I came up with the idea to  draw several shapes and have your kiddo draw a line to cut the shapes in half/thirds/fourths/etc. Make sure you talk about fair shares (how each section should be the same size) when they are drawing the lines.

Here are some ideas that are from other mom bloggers:

Naturally Educational shares an idea using paper plates in her post Pizza Math. I love how she is having her little ones learn about the numerator and denominator as well as comparing fractions.

Peakle Pie combined frogs, crafts, and fractions in her post Fractions Fun with Origami Frogs. I have never thought of fractions this way before- it is so creative and I know my animal loving daughter could easily consider this math lesson as more of a game!

Of course there are TONS more resources available with fractions. I would love to hear about what you have done with your kiddos at home to help them understand this concept better!

Happy Teaching!

Numbers & Operations in Base 10: A Common Core Math Series


Our math series continues today with a post on Numbers & Operations in Base 10. The past two days we have discussed  Counting & Cardinality and Operations & Algebraic Thinking. We are making a lot of progress on our way to learn more about the Math Standards included in the Common Core. (Tomorrow’s post will be about Numbers & Operations with Fractions.)

What are Numbers & Operations in Base 10? There are two parts to this standard. The first is a basic understanding of the place value of numerals in any given number. We refer to this as base 10 because each number has 10 times more value than the digit to the right. For example, in the number 24, the 4 is also known as 4 ones while the 2 has 10 times the value consisting of 20 ones. I hope this makes sense! Understanding numbers in Base 10 also consists of skip counting and  comparing two or three digit numbers using greater than, less than, and equals to while looking at the number in the tens or hundreds place.

The second part of this standard- “Operations in Base 10”  has the objective that students will be able to add, subtract, multiply, and divide while understanding the place value of each digit and how that affects the answer (hence the word “Operations” in base 10)

When should I start teaching my child Numbers & Operations in Base 10? I would start as soon as they can count to 10. I think the most common way I have seen this modeled in a classroom setting is with straws during calendar time. A teacher will put a straw in a bucket for every day they are in school. Once there are 10 straws, they get bundled together with a rubber band and placed in a separate 10s bucket.

What resources are available to help my child learn Numbers & Operations in Base 10? There are actually lots of resources to teach this concept to your kids. I have to admit I am pleasantly surprised- I was expecting this to be a shorter post due to lack of resources but I am wrong!

For the android customers there are some great apps that include Base 10 Number Grid for Kids and Base 10 Number Blocks.  For the iTunes users there are several as well like Common Core Numbers and Operations in Base 10, Place Value MAB, Montessori Place Value, and Math Bugs (this one looks really cute!)

Here is a list of Numbers & Operations in Base 10 literature that I came up with!

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Here is a list of teacher resources and manipulatives that can help you teach your child place value.

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We have done a couple activities in the past that can be tweaked to include the math standard Numbers and Operations in Base 10.

Addition Towers with Unifix Cubes: At the time we were just working on very simple addition. To turn this activity into more of an educational place value experience, don’t make the towers with both addends. Take the loose unifix blocks and group them into “ten towers” while finding the sum.


DIY Montessori Number Beads: So this would need lots of tweaking. Choose one color for your beads. Make 10 bead sticks with pipe cleaners with 10 beads on each stick. Or you could spend a gazillion dollars and buy some awesome golden beads from a Montessori store. OK so they aren’t a gazillion dollars but when you can make something similar for free paying ANYTHING just doesn’t make sense.

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Here are some activities and idea for Numbers & Operations in Base 10 from around the web!

Boy Mama Teacher Mama shared a fun Ten Frames game to do with your kiddos. She has a set you can purchase or you can download some seasonal ten frames. I am putting this activity on my list of things to do with my Boo!

Naturally Educational posted an activity using coins to skip count. Love the idea to use money!

I will be writing another Numbers & Operations post soon- but instead of being Base 10 stuff it will be all about fractions.

Alright- blog post is done which means the laundry must begin! Yay for me?

Happy Teaching!


DIY Montessori Number Beads

A couple of days ago, my daughter dumped an entire bag of plastic pony beads all over the craft room floor. Normally I would have been eager to clean them up quickly and put them away, but I was in a good teachery mood and turned this mess into a learning experience! Boo wanted to know how many beads we had. A lesson objective was planned- organize beads in groups of 10 and then count by 10s to see how many beads we had all together.

After my daughter used tongs to place beads on a picture frame we had lying around, we started making number bead sticks. I grabbed some pipe cleaners, cut them in half, and added 10 beads to each pipe cleaner. SO EASY! To tie of the end, just twist the wire until the beads can’t come off. We had a great time adding beads and tried our hand at simple patterns. This was also a great fine motor skills activity.

There were a couple things I would have done differently during this activity. First- instead of just doing 10 sticks, I would have made 1-9 sticks as well.
And just like the Montessori number beads, I would have color coded each number stick. For example, all the 10 sticks would be blue beads, all the 9 sticks would be brown beads, etc.
Lucky for you, I quickly whipped up an example!

Happy Teaching!

I am linking up this post to Every Day Math Play at TeachPreschool

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