Math centers are a huge part of my math instruction, and over the years I have had my students complete a lot of different math centers. However, in the past three years as I become more comfortable with math centers, I have begun incorporating at least one higher level math center as part of my normal math center rotations. To see what I typically have in my math centers, click here.

Today I want to share with you six of my favorite higher level math centers for fourth and fifth grade students. These math centers are all relatively low to no prep and really get your students thinking about the math they are completing.

# 1. Target Number Center

Having students create math equations for a target number is a perfect higher level thinking center that you can use from the very beginning of the year. I have a few variations of the target number mat that I like to use. I keep the directions generic enough so I can differentiate for my students or differentiate for the time of the year.

At the beginning of the year when the students are just getting used to the center and becoming proficient with it, I like to just have the target number be a one digit number (which the students roll a dice to create). However as the year progresses, I increase the target number to two digit, three digits, or even four digit numbers for the entire class and for specific students as needed.

I also have a few variations of the different equations the students have to create to equal the target number. Sometimes I do very open-ended equations and allow students to choose, sometimes I am more specific about having a required operation or operations, and sometimes I even require them to use parentheses and a variety of specific operations in their equations. Click here to download the free math target number mats to use with your students.

# 2. Error Analysis Tasks

One of my go-to higher-level math centers for my students to complete is error analysis tasks. Last year, I created a set of error analysis task for each standard, with many of the standards having more than one task (You can see these in my TpT store by clicking here). After my students have become proficient in the standard or skill, I like to place an error analysis math task in their center the following week.

I do wait until the students have demonstrated a basic mastery of the skills before requiring them to solve an error analysis task. I have found that they are much more successful with finding errors once they have achieved a level of mastery themselves with the skill. If the students have just been introduced to a skill or concept, they may not have as much success with identifying and correcting errors.

# 3. Journal Prompts

Having your students write about math is also a great low prep higher-level thinking center to to place in your math rotations. I like to use journal questions that require my students to really think in a different way than they normally have about math. I have a set of mathematical practices journal prompts that I like to use. I like these prompts because they require the students to think creatively and strategically about math and their thinking about math. These journal prompts I use are specially aligned to the Common Core Math Practices standards.

These mathematical practices journal prompts are a freebie for my email subscribers. If you are a current email subscriber, I added these prompts to the exclusive library of freebies (the link and password to was in the first email you received from me – if you have problems, you can use the contact form or email me at j_findley2003@yahoo.com). If you are a new email subscriber you may click here to sign up, and you’ll receive directions to access the exclusive library of freebies in your first email from me. If you want to see these prompts in my TpT store, click here.

# 4. Choice Boards

Choice boards are a perfect way to incorporate both higher level thinking and differentiation into your math centers. Use this blank editable to create different math tasks and questions for your students to answer. You could allow them to have complete choice over the tasks they complete or you could require 1-2 tasks that are higher level and then allow the students to choose the rest. I prefer choice boards that incorporation both computational mastery and higher level thinking math skills.

If you are interested in some ready made choice boards, click here to see my math choice boards that align directly with common core standards (3rd, 4th, and 5th grade levels available). When I use choice boards in my classroom, students usually have 1-2 weeks to complete the required number of tasks on their specific choice board. You can read more about how I score choice board work on by clicking here. Sometimes I schedule choice board time as a specific center and sometimes working on choice boards is their “early finisher task” at any of the other math centers.

# 5. Create a Word Problem

This is definitely a favorite math center of mine because it is super easy to prep and differentiate. In this center, students choose equations and create word problems to match the equations. It takes another level of thinking for them to be able to create a word problem for an equation, especially word problems that require multiplying and dividing fractions.

To prep this center, all you need are index cards with different equations that match whatever skills your students have been working on. Use this free recording sheet to have the students record their word problems on. I have also included a directions cover page and some cards for you to print on colored paper. Click here to download the center for free.

# 6. Constructed Response Tasks

Constructed response math tasks are a huge part of high states testing and a great go-to higher level math center that is very low prep. These tasks are also great for promoting higher level thinking as the students are often required to explain and justify their answers and their thinking. Because of all this rigor that makes up these tasks, they are perfect for higher level thinking math centers. When I do use these in centers, I typically only require 1-2 tasks in the entire 20 minute center. This gives the students plenty of time to really do the math task justice and answer and explain it fully. Click here to see constructed response math tasks in my TpT store.

If you have any higher level math centers that you use and love, share them in the comments! I am always looking for new higher level math centers to push my students’ thinking about math further.

Tamsin says

Hi I teach in the UK, we use these types of activities but not in ‘centres’ . Is this a sort of carousel of activities that the children move around? Do you do any whole class teaching as well?

Thanks

Jennifer Findley says

Hi Tamsin, yes, centers are similar to a carousel of activities. While the students are completing the activities, I use this time to pull small groups for re-teaching or enrichment. I do centers only about 2 times a week and then whole group the rest of the week. You can read more about it on this post:

http://teachingtoinspire.com/2016/01/math-groups-two-ways-i-use-math-groups-in-my-classroom.html

Thanks so much for stopping by!

Emily Pardee says

Hi Jennifer. I’m recently retired from (low tier) university mathematics teaching where we faced a substantial proportion of incoming students who lack mathematical sense. By this I mean that they had very little idea of when they had finished a problem or whether their bottom line answered the questions in any way that made sense. What I’m interested in learning is whether your experience suggests that your center activity which has students invent a story to match an equation seems to directly improve their ability to work from a story to an equation and the interpretation of its solution? Emily

Jennifer Findley says

Hi Emily, yes, in my experience it does help them solve word problems. The skill that many of my students lack is a conceptual understanding of what an equation is asking them to do. Requiring them to go from a naked equation to a story problem forces them to think in terms of what the operation is actually representing. Many of my struggling students do struggle with this skill at first but as they grow as math learners, their ability to create story problems grows as well. Thanks for your question!

Krystal L. Smith says

I’m loving your center ideas. Especially the low prep centers. Thanl you for aharing and giving me some ideas to add to my bag of tricks. My students love error analysis activities. They said they feel like the teacher. Lol! But I will certainly be using the constructed response center, journal prompts, and create a word problem. These are great ideas for upper elementary students! Thanks for sharing, again!

Krystal L. Smith

Gail says

Love the high level math centers but can’t find the actual cards for the centers like target number center,error analysis tasks,choice boards etc. Is it a download and is it free or is it a purchase.

Thanks so much!

Gail

Gail says

I found the answer to my question.

Thanks,

Gail