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]]>We struggled with it last year but had made some great improvements.

But it is a new school year, and we had a wonderful summer break. Over that time, the names of coins and their values have completely slipped my little boy’s mind.

It can be quite frustrating when so a concept you have worked so hard on has some how slipped away. So to avoid being frustrated, I created a game and a few other activities to help my kiddo remember all that we have learned.

We love games at our house, and it is the easiest and most fun way to get my boys to practice a skill over and over. And this game got my kiddos doing exactly what I wanted them to do…..counting money.

It is an easy game to play, and the fall apple theme was perfect for the cooler weather we have had recently.

For my first grader, we focused on **naming the coin**, **remembering the value**, and then collecting the **correct change**. I was even able to challenge my second grader. After he gathered up his money, he practiced adding that amount to what he previously had.

- First, print off game board and apples on card stock paper
- Next, cut out the apples
- Finally, gather up coins, game pieces, and a die.

Once the prep-work is done, now comes the fun.

The players place their game pieces on start, and player one rolls the die. Player one then moves that many spaces. If they land on a blank space, the player picks one apple from the pile and then gets that amount of change out of the coin box. Landing on an apple allows them to pick two apples, but if they land on an empty basket they lose all their money.

The players take turns rolling the die, picking apples, and counting money until both players reach the end spot.

Whoever has the most money at the end of the game wins.

Even though this game was a great way to review money, I wanted my little guy to have a little more practice.

The first activity I created was a money match. I HATE cutting things out, so I decided to use the apples from the game. I simply put out the coin cards, and my first grader found the apple that matched it.

I also created four worksheets for him to work through. He loves to color….so I made sure that he had that opportunity as he was counting money. One coloring page has him counting money and then coloring in the picture that equals that amount, while another page had him coloring in coins to equal a certain amount of money. I also included a cut and paste, and a draw a line to the match activity.

After all this, we are in a much better place. I know that I will have to pull out this counting money game often to keep these skills fresh.

You’ve Got This

Rachel

You may also like:

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]]>*This post may contain Amazon links and links to other bloggers. There is no extra cost to you, but if you choose to purchase, I receive a small percentage. It helps with the upkeep of You’ve Got This Math and provides for my family.*

Comparing fractions!

There are numerous strategies for comparing fractions. The butterfly method, finding equivalent fractions with common denominators and modeling.

Though it is great to help children get the right answer, here’s a question? What methods will develop fraction sense in my children?

Whatever the answer may be, that is where you want to start. The butterfly method and finding common denominators are great strategies, but they don’t help children understand fractions like modeling does.

Bethany from Math Geek Mama and I recently finished a series on Developing Fraction Sense. Fraction sense is best taught through hands on experiences. It may consist of playing with fraction manipulatives like fraction bars or pattern blocks or could be as simple as drawing models in a math notebook that has grid paper.

One easy way to build fraction sense and help children compare fractions in on a number line.

Another way to compare fractions is to have children draw models. The catch here is to make sure that both models are the same size. If children are comparing 1/4 and 3/8 they can’t draw a visual model with four grid squares for one model and eight grid squares for the other. Both visual models must have eight squares and then shaded in correctly.

As the children draw this they are beginning to understand equivalent fractions and how the equivalent fraction equation works.

Now that some building fraction sense has been done….it is time to practice with a comparing fractions game.

- First, print off the game board on card stock paper!
- Next, print of the game cards. If you do not have a printer that does two sided copies, print off all the game cards first, flip them over and then print the back sides.
- Now, cut out the game cards using the front. The back is a little bigger so that everything lines up perfect!
- Finally, gather up game pieces.

- To begin, player one draws a game card. If it is a picture the player moves to that spot on the game board.
- If it is a math problem, the students must find the closest fraction in front of their game piece that matches the description on the card. In this example, the player drew a card that says equal to 3/6 so they must move to the first 1/2 square they see.

*In this example, the player drew a card that says equal to 3/6 so they must move to the first 1/2 square they see. But if they drew a card that says greater than 1/4 they would only have moved to the square with 6/8th on it…..as this is the first square they came to that has a fraction greater than 1/4.*

- Now it is player’s two turn, and they follow the same procedures!
- Players take turns until they have an answer that is not in front of their game piece but on the board some place else. They then move to the END space!

Playing with fraction can be a lot of fun! Enjoy.

You’ve Got This

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All month, we have discussed how to Develop Fraction Sense, and today I have another fantastic way to help children build an understanding of fractions.

I was first “introduced” to this concept when I was a fourth and fifth-grade math coach. We were faced with the daunting task of teaching new standards, and over and over we saw the words decompose a fraction. And so we tackled it head on, and we taught our students to decompose fractions.

What did we learn?

We learned that when children can decompose fractions, they are beginning to understand what fractions are! You can’t decompose a fraction unless you understand what a fraction represents.

So what is decomposing fractions? TutaPoint says, “To decompose a fraction means to find the two (or more) fractions that when added together give you the fraction with which you started.”

And once children learn to do it, they can conquer even more fractional concepts.

- Michelle Williams from Fuel Great Minds uses decomposing to help children convert improper fractions to proper fractions.
- You can use decomposing fraction to help students add and subtract fractions with common denominators.
- And to my surprise, decomposing fractions is even found in precalculus.

Pattern blocks are my go to for teaching fractions, and teaching decomposing fractions is no different. And if children are familiar with using pattern blocks for representing fractions, this is an easy transition.

- First, have the children use pattern blocks to represent a fraction…in my example, I used 2/3.
- Next, have the children show you the parts that equal 2/3….the two rhombi.
- Finally, have them create an equation that represents the pattern blocks in front of them….1/3 + 1/3 = 2/3

You can also do this activity with fraction circles.

Next, try out fraction bars. These may be easier than pattern blocks as the fractions are written directly on them. Once again, give the children a fraction to represent, have them break that fraction a part, and then create an equation.

In this example, the child is representing five-eighths. Next, they broke apart the representation into 2/8 and 3/8. Finally, they created the expression 2/8 + 3/8 = 5/8

For our last manipulative, I created a printable to help you!

Many times our fraction practice focuses on finding the fraction of a whole, but it is also important that children can find the **fraction of a set or group of objects**. Using **snap cubes** can help with that.

In the example above. seven-tenths of the cubes are pink and three-tenths are turquoise. The task card is asking the child to decompose the fraction that represents the pink cubes. They did that by creating the equation 2/10 + 1/10 + 4/10 = 7/10.

The second set of task cards changes things around a little bit. They provide an expression, and the children have to create a representation of it. In this example, the child recognized that 5/11 + 3/11 + 1/11 = 9/11. They used 9 cubes to represent the numerator and then used 2 blue cubes so that there would be a total of eleven cubes. They were then able to solve the expressions and write in 9/11.

Enjoy playing with the manipulatives and using the task cards to challenge your kiddos.

You’ve Got This

Rachel

You may also be interested in:

**And be sure to check out the rest of our series on Developing Fraction Sense:**

- Understanding the Numerator and Denominator
- Comparing Fractions with Benchmark Fractions
- Understanding Fractions Using Number Lines
- Deepening Fraction Sense with Area Models

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]]>Adding and Subtracting compose a large portion of math time in kindergarten, 1st, and 2nd grade.

There is so much to learn!

- Kindergarten students begin by working on adding one more and one less while second graders finish up by adding and subtracting within 1,000.
- Our little ones work on memorizing all the expressions that equal 10, while children a little older work to conquer the task of regrouping.
- Each child must learn how to solve word problems.
- And we expect that all the math facts within 20 be memorized by the time a child is in second grade.

Yes, there is a lot to learn. And 60 Activities For Adding and Subtracting is designed to help you teach all of it, without you having to search the internet for fun, hands-on games and activities.

The first section of 60 Adding and Subtracting Activities is all about adding.

First, there are task cards to help children add in a fun, hands on way.

Next, try out some puzzles.

Or how about some games.

Then, there is a focus on the **expressions that equal 10, a**s well as activities such as **number bonds**, games, and coloring pages to help children memorize their math facts up to 20.

With many activities in between, the addition section finishes up with activities to practice adding **four two-digit numbers** and **adding three digit numbers.**

The next section of the book is all about subtraction. It starts with a simple subtraction sort.

Then you can get a game to practice those subtraction facts to 20.

Next, you can find five activities to practice **subtraction with regrouping.**

There are even cut and paste activities.

The activities in this section have students both adding and subtracting. A fun movement game gets children moving, creating expressions, and exploring a 100’s chart.

There are number bond worksheets and activities to work through.

You can even get children adding and subtracting by ten with three different activities.

The fourth section of 60 Adding and Subtracting Activities works with expressions. You can print off expression sorts, clip cards, and cut and paste activities to help your children build a foundation in Algebra.

Last, but not least we come to word problems. This fifth section has over 100 word problems ranging from adding and subtracting within 10 to adding and subtracting within 1,000. The directions encourage children to solve the problems using number lines, number bonds, ten frames, and expressions.

Teachers and homeschool moms are busy. We want to provide fun and engaging resources for our kiddos. Some children need remediation, while some need to be challenged…..and searching for all of those resources can be quite challenging.

This e-book provides you with games, task cards, cut and paste activities, interactive notebooks and more. And since it provides activities from Kindergarten to 2nd grade it is easy to remediate and challenge students.

This is one e-book you want to have at your finger tips!

Get all of this for just $18

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]]>We began with a look at Numerators and Denominators….

Then, Math Geek Mama talked about using benchmarks….

Today we are going to discuss three ways to **develop fraction sense using number lines**.

*This post may contain Amazon links and links to other bloggers. There is no extra cost to you, but if you choose to purchase, I receive a small percentage. It helps with the upkeep of You’ve Got This Math and provides for my family.*

Number lines are a huge part of building number sense in lower grades, and it can be just as effective with fractions.

Here are three ways to use them….and this is just the start. There are so many other ways!

For children to draw a number line and correctly label it with fractions, they must know what the numerator and denominator represent.

If you are asking a child to place 3/5 on a number line, they have to understand their number line must be divided into five equal parts between the whole number 0 and 1. Next, they have to recognize that the third line from the 0, is where 3/5 is located.

Children also get the extra benefit of seeing that a fraction is between the numbers 0 and 1. It drives in the fact in a new way that a fraction does not equal one whole. You can also do this activity with mixed numbers to help children see that a mixed number also falls between two whole numbers.

Another way to use number lines is to teach** equivalent fractions.**

If you plan on teaching equivalent fractions with this method, you may need to provide direct instruction first…..and some grid paper.

- To begin, inform your students that both number lines will have a 0 and a 1 in them and that each number line must have the same amount of spaces. The zero and the one from the second line must be placed directly underneath the zero and one from the first number line.
- Next, ask them what part of the fraction will help them determine how many grid spaces each set of number lines will have. (The denominator)
- Now comes the fun part! Figuring out how many grid spaces each line will have. Begin by having the students “skip count” by the denominator and choose one of the multiples. (This is an introduction for
**Least Common Mulitple**). Now the children draw their number lines with that many grid spaces in each line.- For example, if you are finding an equivalent fraction for 1/2 they could create two lines that have 4,6,8,10, etc spaces.

- Following that, the children write the fractions on the number line.
- Let’s say the children choose the multiple 4. For the first line, the child would have to realize that they have to take the number of spaces and divide it by the denominator. Four divided by two equals two, so they would go over 2 spaces from the zero, place and place a line for the fraction 1/2.

- Finally, any fraction that is directly underneath a fraction on the first number line is an equivalent fraction.

**Comparing fractions** on a number line is very similar to finding equivalent fractions on a number line. The children begin by finding the least common multiple of the two fractions and creating two lines with that many spaces. Once the place the fractions on the number line it is easy to see which fraction is greater.

As an extra challenge, a child can place the fractions on one number line. When doing this it may be easiest to place the fraction with the smallest denominator on it first, and then go back and put the fraction with the largest denominator on the number line.

I’m a firm believer in having children create their own number lines. It requires a massive amount of thinking and strategizing, which develops fraction sense, and this printable provides simple challenges that will get children drawing and thinking.

This printable has three different challenges….

- Challenges Focusing on Placing Fraction on a Number Line
- Equivalent Fraction Challenges
- Comparing Fraction Challenges

To prepare for children drawing number lines, you need to have tons of grid paper available. You can print, purchase a pack, or my favorite…..have math journals with grid paper in it. (My colleagues and I loved being able to provide these to our kiddos, and at least three times a week our kiddos were solving problems and modeling them in their journals).

Next grab some pencils, colored pencils (if desired) and the printable and you are ready to go.

Drawing number lines can be frustrating for some children but preserve. The learning that comes from it is worth every struggle. You will be glad you taught it this way, and your kiddos will grow as mathematicians too!!

You’ve Got This

Rachel

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Whether you are a third-grade teacher introducing fractions, a fourth-grade teacher building the foundations of adding and multiplying fractions, or a fifth grade teacher facing the daunting task of multiplying mixed numbers, one thing is needed.

Fraction Sense!

I’m so excited to announce that Bethany Lake from Math Geek Mama and I are teaming up to provide you with five different strategies and activities that will help Develop Fraction Sense in your child or students. Every Monday for the next few weeks, we will share with you hands in and engaging ways you can teach fractions!

Today we are going to start with teaching numerators and denominators. And we will be moving into…

This activity for teaching numerators and denominators is simple and requires no prep.

Simply….

1. Gather up pattern blocks

2. Make sure children have pencils and colored pencils

3. Print off the freebie at the end of the post

4. Possibly get cookies as an introduction activity

A child that has never seen a fraction in their life somehow understands 1/2. They get sharing, and they totally get having to share one cookie between two people.

It is an easy way to start fractions. Begin by passing out one cookie per two students and ask them to share it equally. Stress the word **EQUALLY!**!

After the students have done that, now you get to introduce three vocabulary words to them.

**Whole**– what it takes to make 1**Numerator**– shows how many parts we have**Denominator**– shows how many equal parts it takes to make a whole

I love asking questions to help children find the answers. It helps them do the thinking, and it makes the learning theirs and not mine. Here are a few questions you can ask to help children discover the meaning of the words whole, numerator, and denominator.

- What does the whole cookie look like?
- How many cookies do you have?
- What does a whole equal?
- How many equal parts did you have to divide the cookie up into so it could be equally shared?
- How many parts did each partner get?
- Can you make four equal parts? What is the numerator/denominator now? Did the whole change?

After allowing the children to enjoy their cookie, it is time to move onto pattern blocks….one of my favorite ways to teach fractions.

Begin by holding up the **hexagon** and ask what blocks could be used to show 1/2.

Hopefully, they can see that the **red trapezoid **accomplishes this. If not, have them place the trapezoids, rhombuses, and triangles on the hexagon and ask them which one equally divides the hexagon into two equal parts.

From here, you could simply ask the children to show you 1/3, 2/3, 1/6, 2/6e etc. Or you could allow children to explore and come up with their own fractions.

Once the children have used the pattern block to create fractions, it is time to move to the third step.

Now that the teaching Numerators and Denominators part is done, it is time for exploration.

The printables ask students to create fraction models in which the numerator or denominator does not change. In the first example, the students create fraction models where the denominator remains 2. The numerator can be any number, and the child decided to make the first model have a numerator of o, the second numerator is a 1, and the third numerator is a 2.

The other set has children creating fraction models where the numerator does not change. In this example, the numerator must always be a three and the whole is two hexagons. To keep the numerator the same, the types of pattern blocks used must change. This may be a challenge for some children, but if they can figure this out….it will help drive home exactly what a fraction is.

There are also opportunities on these printables for children to write about their learning. Allowing children to verbalize what they have learned and put it in writing is just another means of mastering a topic.

I hope you have found some useful ideas to begin your fraction unit, and I can’t wait to share more activities to build fraction number sense in the coming weeks!

You’ve Got This

Rachel

You May Also Like…

Teaching equivalent fractions with pattern blocks

Or check out my 3 – 5 free printable page which includes numerous fraction activities.

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Mine was solving two at the end of a page of practice. You know….I just completed 20 subtraction problems and then I had to do two word problems that you guessed it, had to do with subtraction.

There was very little instruction on how to do word problems, or even figuring out which operation I should do.

Nowadays there is a greater focus on solving word problems and completing them on their own.

There are many strategies for teaching word problems, but I love This Reading Mama’s word problem sort as a way help children focus on the vocabulary in word problems. It is a great place to start.

Next, I’m a big component of modeling over and over again what you expect when your students are solving a word problem.

Finally, I love having children share how they solved their word problems. The simple explanation of a child may make sense to a child that is struggling to understand.

When my children are solving word problems I expect three things..and sometimes I add in a fourth.

- Modeling

There are many ways to model a word problem. A student can draw base ten blocks, use a number line, or even ten frames.

In this example, the child decided to use a number line. They started at 1,000 and then subtracted 500 since 200 + 300 = 500. Next, you can see that they subtracted another 100 and two tens since s0 + 90 = 120. Their next step was to subtract another 10 and then 8 since 9 + 9 = 18. Finally, they ended up 362.

- Show your work

We are always asking children to do this. And when we teach word problems separately and provide opportunities for them to see us solve them and how others solved them, they are more likely to do it.

In this example, the child used partial products to solve the problem and their work is clearly laid out.

- Equation

We know Algebra is basically work in solving equations. When we have our children write out equations for word problems, we are laying a foundation for Algebra.

This child created this equation for the work they did. But there are other ways you could write one. If you have multiple students doing these word problems, this is another great place to share all the different equations your students came up with.

To help students get practice in word problems, I created these Superhero Two-Step Word Problems Within 1,000. They allow children to focus on word problems and not just complete them at the end of a worksheet.

There are two way you could use them.

Option 1:

- Print off the Two-Step Word Problems Within 1,000 on card stock paper and laminate
- Puch a hole in them and place them on a ring
- Put the ring in a math center and have the children solve one a day in their math journals
- Make sure you model your expectations first and then have children share their models and equations.

Option 2:

- Print off the Two-Step Word Problems Within 1,000 on regular paper
- Have the children glue the word problem into their math journals
- Have all your children solve one word problem a day.
- Make sure you model your expectations first and then have children share their models and equations.

Word problem practice is important. I hope these word problems allow you to easily focus on this concept.

You’ve Got This

Rachel

You may also be interested in:

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It is almost inevitable.

He walks in the door. Or we sit down to eat on Wednesday at the local home cooking place. And even on the days I drop the twins off so the others can go to piano lessons, I can almost predict the words we will hear!

“Guess what I have in my pocket today, ” Pop will say with a smile.

He now has the attention of all four of my children….not a small feat I might add!

They look at him with excitement building in their eyes. Then at least one, if not all, will yell, “M & M’s!!!!!!”

Those small packs of M & M’s are a special treat for my little ones, and this fun interaction between them and their Pop makes it even more enjoyable.

And today, I decided to use those special treats to get some word problem practice in!

- Print off the M & M Word Problems you plan to use.
- Gather up pencils and M and M’s ( I would recommend getting a large pack and pouring them into a bowl)

The M & M Word Problems are mainly for **1 st graders** but would work great for **advanced kindergarten** students or 2nd graders who are struggling. They are simple to use, and focus on solving **adding and subtracting word problems within 20** in three different ways.

The first way to solve is through ten frames. The child or parent will read the problem and then use the M & M’s to model the problem in the ten frames. In the example above, we learn that Ellen has six more M & M’s than Elisa and that Elisa has nine. The student started by placing nine M & M’s in the ten frame and then adding six more. Now it is easy to see that Ellen has 15 M & M’s.

Next, the student moves unto number lines. On the word problems I have designed for kindergartners, the numbers are already written in. These number lines are blank though. This forces child to really think through the problem and decide where they have to start for the number line to work…especially when subtraction is involved. For this example, the child started at 8 (one before the nine they knew they needed to start with.) They then put a dot at the nine and moved up six spaces to get to 15!

Finally, the children write the equation. If they have done the number line and the ten frames correctly, this part is easy. They simply look at where they started on the number line, decide whether they added or subtracted, figure out how many spaces they moved, and where they ended up. Now they can easily see that 9 + 6 = 15

These M & M word problems are a fun place to start when introducing word problems. Being able to use candy adds excitement and the ten frames and number lines help children visualize the word problems.

So the next time a grandparent shows up with a special treat…..save them for a little word problem work. I’m sure your kiddos will thank you:)

You’ve Got This

Rachel

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A groan escaped and I could see the disappointment in his eyes.

The page in front of him had triangles filled with blanks. And he wasn’t thrilled about filling them in.

Now don’t get me wrong, my first grade loves math….but not math worksheets.

Fast forward to another day, and another sheet with four fact family triangles. This time there wasn’t a sigh. No, this time excitement fills his eyes.

Why the difference??? Simple. One was a game.

Math requires students to practice, but worksheets can be quite boring. This is why I love games!!

And this no prep fact family game is a perfect way to practice addition and subtraction!

- First, print off of game boards on card stock and then laminate or place in a sheet pro.
- Next, gather up dry erase markers and two 10 sided die. If you don’t have a 10 sided die, you can easily glue numbers 0, 7, 8, and 9 on a normal die.

- To begin, players take turns rolling two dies and filling in triangles.

On the first board, the players must fill in the bottom of the triangles first. This ensures that only single digit numbers are used when adding and keeps the game much easier.

On the second board, the players may fill in numbers anywhere.

–Examples: A player rolls a three and seven. They can make the number 37 and place it at the top of the triangle. They would then need to fill in the bottom part of the triangle with numbers that when added would equal 37. If they rolled a 2 and 6 next, they could write in 26 and then wait to roll two 1’s for 11.

–Example: A player rolls a 1 and 4 and writes the number 14 at the top. They then roll a 2 and 5. They can place the five at the bottom of the triangle with the 14 in it, and the two, some place else. They then would need to roll two zeros and a nine to finish off the triangle with the 14.

2. The first player to fill in all four triangles correctly wins.

I hope this simple game keeps the groans out of your school room while your child practices their math facts! Enjoy!

You’ve Got This

Rachel

You may also like:

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