Idea: How to Engage Your Students at the Start of Any Lesson

Image Credit: Mashup Math MJ

Capturing your students’ interest and curiosity during the first few minutes of class is the key to keeping them engaged for your entire lesson.

But not all math warm up activities are created equally.

Math teachers miss out on activating their students’ critical thinking and reasoning skills when they assign routine, lower-level practice problems during the first five minutes of class.

However, when you use the right mix of fun and though-provoking math warm up activities to start your lessons, student engagement spikes, as your kids will constantly be wondering about what is coming next.

You probably already have some awesome math warm up activities—like Which One Doesn’t Belong? and Think-Notice-Wonder—in your tool belt. But if you’re looking for another great strategy for mixing up your instruction and engaging your students, then get ready for:

Two Truths and One Lie!

I recently started using Two Truths and One Lie (2T1L) activities, where students are presented with three mathematical statements (only two of which are true) and they have to identify which statement is a lie and justify why their choice is correct. The results? Pretty amazing. 2T1L taught me that my students love to argue and state their case (in small groups or to the whole class).

In short, 2T1L is a fun way to spark deep mathematical thinking and open discussion at the start (or end—2T1L activities make great exit tickets) of any lesson.

Image Source: Mashup Math ST

What topics/grade levels are 2T1L activities best suited for?

2T1L activities can be used for all grade levels and topics. The graphics should be topic/lesson specific and can include graphs, charts, and diagrams.

Here are some grade-level specific samples:

Imagine how your students would react to starting class with one of the following activities.

• What kind of creative and mathematical thinking would spark?

• What kind of small or large group discussions would occur?

• How would a spike in engagement effect the remainder of the lesson?

▼ 3rd Grade ▼

▼ 6th Grade ▼

▼ 4th Grade ▼

▼ 7th Grade ▼

▼ 5th Grade ▼

▼ 8th Grade ▼

Are you ready to give it a try?

Here are a few more free samples that you can download and share with your kids (right-click to download each graphic and save it to your computer):

• 3rd Grade: Sample A | Sample B

• 4th Grade: Sample A | Sample B

• 5th Grade: Sample A | Sample B

Looking for more for grades 3, 4, & 5? Download your 101 ‘Two Truths and One Lie!’ Math Activities for Grades 3, 4, & 5 eBook!

• 6th Grade: Sample A | Sample B

• 7th Grade: Sample A | Sample B

• 8th Grade: Sample A | Sample B

Looking for more for grades 6, 7, & 8? Download your 101 ‘Two Truths and One Lie!’ Math Activities for Grades 6, 7, & 8 eBook!

Looking for more?

You can now share 101 Daily Two Truths & One Lie! Math Activities for Grades 3, 4, & 5 OR Grades 6, 7, & 8 with your kids with our brand new PDF workbooks!

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Read More Posts About What’s Trending in Math Education:

Do you have experience using 2T1L activities with your math students? Share your thoughts and suggestions in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

How to Use 'Which One Doesn't Belong?' Math Activities to Boost Engagement

How to Use ‘Which One Doesn’t Belong?’ Activities to Boost Student Engagement in K-8 Mathematics

This simple activity gives students to engage with mathematics without the fear of being incorrect.

Which One Doesn’t Belong? math activities encourage deep mathematical thinking. (Image: Mashup Math via Getty)

When students see mathematics as a black and white subject where every problem has only one correct solution, they can easily become frustrated and fearful of making mistakes.

But what would happen if students could engage with mathematics without the fear of being wrong? For example, consider the question, “What is ten minus seven?”. While it’s important that students know that the answer to this question is “Three,” it’s arguable more important (and more beneficial to their learning) that they also be able to answer a question like “Why does ten minus seven equal three?.”

These type of open-ended questions encourage deep mathematical thinking and reflection, and, since there are multiple different ways to answer them correctly, students can interact with math without the fear of making mistakes. Rather, they can think about mathematics creatively and in ways that make sense to them on a personal level.

“Open-ended math questions shift the focus from finding final answers to actually understanding whatever concept students are currently learning,” says Mashup Math founder Anthony Persico, who believes that “giving students opportunities to think about mathematics without the fear of making mistakes boosts overall engagement and participation, which encourages deep understanding and growth.”

When teachers incorporate open-ended follow-up questions in their daily lesson plans, they place a greater emphasis on thinking and learning and rather than only being concerned with whether or not students can get correct final answers to problems.

So, how can you add more open-ended math questions into your daily lessons?

Using post-it notes is a great strategy for assessing student thinking, especially when using WODB as an exit ticket. (Image: Mashup Math ST)

Which One Doesn’t Belong? Math Activities

We are all familiar with the concept of “Which One Doesn’t Belong?” (which we will abbreviate as WODB going forward). You are given a set of objects or images and you are tasked with figuring out which one of them is not like the others.

In the case of WODB math activities, students are given a set of our different numbers or images and they must determine which one of the four does not belong and then justify why their response makes sense.

How Do WODB Activities Work?

Whenever you are aiming to boost student engagement, whole-class participation, or just to mix up your instruction, simply share a four-quadrant WODB graphic that requires students to observe and reflect upon four different numbers or graphics. They will then apply their mathematical and reasoning skills to decide which of the four items does not belong and also justify why (either verbally or in writing) their choice is valid.

Since WODB activities do not have a single correct answer, students will have to organize their thoughts and provide a justified response.

Unlike typical multiple choice questions, WODB activities do not have a single correct answer. These graphics are designed to be interpreted in a variety of different ways in order to spark deep mathematical thinking and discussion (in small groups, whole class, or both).

Here's an Example:

Consider the graphic above where students have to select which of the following numbers does not belong with the other three: 11, 22, 44, and 110.

Student A says: Since 22, 44, and 110 are all divisible by two, they are all even numbers. This means that 11 does not belong because it is not divisible by two. 11 is an odd number and does not belong.

Student B says: 11 does not belong because it is a prime number. The other three numbers are not prime numbers.

Student C says: 44 does not belong because it is the only number that is divisible by 4. You can technically divide the other three numbers by 4, but the result would have a remainder, so 44 does not belong.

Student D says: The number 110 does not belong because, although it is divisible by 11 like the other numbers, it is the only three-digit number.

Notice that every student’s answer makes sense and is backed up by deep mathematical thinking. Student A and Student B both determined that 11 does not belong, but for very different reasons, while Student C chose 44 and Student D chose 110.

As teacher, you can steer this discussion in a variety of directions by asking follow-up questions like:

What justification could you use to say that 22 doesn’t belong?

What other justifications could student A have used to decide that 110 does not belong besides the fact that it is the only three-digit number?

How can students A and B both be correct?

How can students B, C, and D all be correct even though they each chose different values?

Another example of how teachers can record student responses to WODB activities. ((Image: Mashup Math ST)

What topics and grade levels are WODB activities best suited for?

WODB activities can be used for all grade levels and topics. The graphics can be topic/lesson specific or broader and more open-ended. Remember, the idea is to spark enough student thinking, interest, and curiosity at the beginning of your lesson to last for the entire class!

Are You Ready to Try WODB Activities with Your Students?

Below you will find links to download free ‘Which One Doesn’t Belong Sample Activities” that you can share in your upcoming lesson plans. All of the activities are samples from the WODB activity libraries available on our membership website.

Which One Doesn’t Belong? Numbers

Click the image to preview each sample activity and click the text link below to download your free sample worksheet.

Sample A (Grades K-2)

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Worksheet Download

Sample B (Grades 3-5)

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Worksheet Download

Sample C (Grades 6-8)

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Worksheet Download

Which One Doesn’t Belong? Pictures

While numbers are a great way to introduce your students to WODB, you can also include pictures, charts, graphs, and all kinds of math-related graphics.

Click the image to preview each sample activity and click the text link below to download your free sample worksheet.

Sample A (Grades K-6)

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Worksheet Download

Sample B (Grades 3-8)

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Worksheet Download

Sample C (Grades 5-8)

Worksheet Download

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WAIT! Do you want over 100 topic-specific WODB activities for grades 1-8? 🙋🏻‍♀️

Click the link below to download our best-selling PDF workbook 101 Daily 'Which One Doesn't Belong?' Activities for Grades 1-8.

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More Math Education Resources You Will Love:

Are You Using This Genius Strategy for Math Writing?

Image Source: Mashup Math MJ

Writing about math helps kids to organize their thinking, use key vocabulary, and communicate mathematically—which leads to deep and meaningful understanding.

Over the past few years, math teachers are incorporating more writing activities into their lesson plans—a trend that is being driven by the use of highly engaging think-notice-wonder writing prompts that spark deep mathematical discussion and are highly effective as warm-up or cool-down activities. 

This strategy has recently been endorsed by the National Council of Teachers of Mathematics:

By asking What do you notice? What do you wonder? we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems.

How does it work?

Math teachers often struggle to find topics for their kids to write about. Sometimes the best way to encourage creativity and exploration is simply posting an image and asking students to describe what they think, notice, and wonder about what they are seeing.

The best way to use think-notice-wonder activities is to choose an image every day and project it as large as you can at the front of your classroom.

Then, have students write 3 sentences about the image starting with:

      •     I think…

      •     I notice…

      •     I wonder…

✔  You may want to have students share their entries in a daily math journal. This practice will get them used to writing about mathematics regularly.

✔  Try not to give too many prompts. You’ll be surprised by how creative and detailed student responses will become over time!

✔  Try to choose images that work with the day’s topic/theme

What would think-notice-wonder look like in YOUR classroom?

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Image: Mashup Math MJ

Imagine an unusual day where your kids enter class expecting a normal warm-up practice problem but are caught by surprise.

They see the above image of a drone delivering a package displayed on the board along with a writing prompt that calls for them to complete the statements I think..., I notice..., and I wonder...

What kind of creative thoughts and ideas would they have?

How much weight can the drone carry? How many packages can it hold at once?

How would thinking about this image activate their prior knowledge and spark their curiosity?

What are the dimensions of the largest and smallest box it can hold? Does it have to be square?

What kind of anticipation would it build for an upcoming lesson or activity?

Does the drone use GPS coordinates to get from point to point?

Why Think-Notice-Wonder?

Engaging in think-notice-wonder writing activities at the start of a math class is a great way to ignite student thinking, spark creativity, and build anticipation.

Even if students are not directly engaged in mathematical problem-solving, their curiosity and interest will carry on throughout the day’s lesson.

Be mindful that your kids will need some time to get used to these kinds of activities, but after a week or so, you’ll be pleasantly surprised by the spike in engagement, boost in student enthusiasm and high quality of responses!

Are you ready to try it with your kids?

Here are a few more sample graphics for you to try in your classroom:

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Want more? Download 101 Daily Think-Notice-Wonder Writing Prompts for Engaging Your Kids

You can now share 101 Daily Think-Notice-Wonder Writing Prompts with your kids with our PDF workbook!

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Do you have experience using think-notice-wonder activities with your math students? Share your thoughts and suggestions in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.