In this blog post I will go over the **third grade** common core math standards **3.NF.2 **&** 3.NF.3 **and provide you with activities you can use with your students. These activities also work well for students who need remediation in 4th and 5th grade.

## Number & Operations – Fractions

## // 3.NF.2

- I can partition a number line into halves, thirds, fourths, or sixths.
- I can represent fractions on a number line.

## // 3.NF.3

- I can use models, number lines, and words to explain how fractions are equivalent.
- I can compare fractions by reasoning about their size.
- I can show whole numbers as fractions.

## 1. Use Fraction Bars

Students tend to understand area models well. They can take a rectangle and partition it into thirds, fourths, and so on. They can use fraction bars to compare and explain why one-half is greater than one-fourth.

So, let’s use what students are comfortable with to introduce fractions a number line.

In the above activity, students will **shade a bar diagram** to represent a fraction. They then use the bar diagram to help them **partition the number line**. Finally, they **plot the fraction**.

You can choose to use this printable during small groups. There are **three versions **of this printable, so you can easily differentiate as needed.

- The
**first**version has the fractions listed on the page. - The
**second**version has a spot for students to write a fraction. - The
**third**version is the most challenging, because students need to*partition the number line*and plot the fraction.

## 2. Use a Math Sort

Students enjoy working on math sorts. It’s always a win when you can teach a challenging topic in a fun way. This activity not only gets students cutting/pasting, but it also encourages students to explain their thinking.

**Step 1:**Cut the cards**Step 2:**Find the 4 fractions**Step 3:**Find the bar model that matches the fraction**Step 4:**Find the number line model that matches the fraction & bar model**Step 5:**Explain how the three cards are related**Step 6:**Glue

## 3. Get Students Moving!

Organize your students into groups and have them **create a large number line model**. They can use chart paper, tape, string or anything else you may have in your classroom.

The purpose is to get students moving and creating! I have typed up 5 different activity pages you can use with your students. They include a recording spot, so students can record what their number line looks like.

- Group students
- Each group receives an activity page
- Students work together to draw and
**partition**the number line - Students
**plot**the fractions - Students
**record**their number line on the paper provided - Students
**present**their number lines to the class

## 4. Cut & Paste – Mixed Numbers Practice Page

**Fractions greater than one** can be confusing when modeled on a number line. I follow the following steps:

- Count the equal parts until you get to the first whole (one).
- Label what fraction is equivalent to one. For example: 2/2 = 1
- Continue counting the equal parts. For example: 3/2

Now let’s write the fraction greater than one as a **mixed number**.

- Highlight the last whole number you pass. For example: 1
- Count how many equal parts you have to jump from the whole number to get to the fraction greater than one. For example: 1/2
- Write the mixed number: 1 1/2

The above printable is included in the **free download** (at the end of this post). I also include a version that is perfect to use for during your **guided math groups**. The video below shows an example of how you can review this skill with struggling students.

## 5. Dodecahedron Project

I start by showing my students what the final project looks like. They are immediately super interested and ready to get to work. It’s always a win when you can get students excited about a difficult topic.

- Have students complete the pages with pencil first
- Check the problems
- Allow students time to color
- Cut the circles
**Staple**the circles together to form a dodecahedron

Below is an example of how one teacher displayed the final projects.

## 6. Interactive, Digital Math Centers

Engage students with these fun, interactive math centers. There are 2 practice files per standard. You could..

- Assign via Google Classroom
- Students can complete during math centers (desktops or iPads)
- Complete whole-group using an interactive white board

## View the digital resources

**I hope you found the list of activities helpful. **

As a new to the math curriculum teacher this year, I TOTALLY appreciate your insight as well as your clear, concise activities for students to help them really understand numbers and math!!!!!

Thank you so much 🙂 I plan to continue digging deep into each math standard for grades 3-5!