Graphing in all Four Quadrants--Coordinate Graphing Activities--Math Intervention

How can my students practice coordinate graphing?

Coordinate graphing is usually a topic that my students caught onto pretty quickly. It was a lesson that could be hands on and those lessons are the ones that students caught onto more quickly. 

However, in the year of COVID-- a lot of students were remote during the coordinate graphing lesson and missed that hands-on lessons. As we progressed throughout the year, I realized students were still not getting how to graph so I created this activity to help reinforce the skill. 

I pulled students into groups of 5 or 6 and had expo markers, the cards, and a poster-sized coordinate graph that was laminated. My school had a poster maker so I could make the coordinate graph poster size. If I didn't have a poster size coordinate graph-I would print several copies of the graph for students to have access to. 

First I had students work in pairs. I gave each pair a card and had them work together to find their ordered pair based on the instructions. I asked each student pair to explain how they found their ordered pair. The expo markers were helpful because I asked students to trace the path they took to find their ordered pair. I ask them to to the same thing when they are taking a test. It is a more concrete way to learn this concept. 

Overall, this was an easy activity to prepare and got students talking about finding their ordered pairs. Any activity that gets to students to talk about their thinking in math is a win. 

Get the activity here.  

If you need more activities to teach coordinate graphing, you can find them here. 

Rational Numbers Cards FREEBIE Small Group Instruction Ideas

One things I consistently used every year was random numbers written on cards. Usually, I would take some index cards, cut them in half, and write random numbers on them right before class started. 

Once small groups started, I pulled students over and depending on the topic, gave them random numbers to work with. 

I used these number cards for classifying numbers, ordering and comparing numbers, converting between fractions, decimals, and percents, and rational number operations. 

By the end of going through 3-4 groups per class, over 3 classes over 2 day, those cards got a lot of use out of them. 

So, I wanted something that would last longer, and where I wouldn't have to use brain power to come up with random numbers on the spot. (Have you ever made yourself come up with random numbers on the spot? Eventually I can't think of anything!)

I created these cards with lots of numbers so I could laminate them on pretty colored paper and use them over and over again without scrambling to write down numbers real quick. 

Here are some ideas on how you can use them in small group instruction:

• For ordering numbers, students pull 5 random cards and order them least to greatest, greatest to least (use all the vocabulary here)
• For classifying numbers, students pull 10 random cards. Create a large Venn Diagram on butcher paper and students will classify numbers. 
• For converting numbers, give students a fraction, decimal or percent and ask them to generate two equivalent numbers. 

Of course, you can differentiate for each student. You can give them random cards or you can choose specific cards to give them depending on what kind of practice they need. 

I find that in the best small group instruction, students need to do most of the talking. So as they are completing the tasks above I ask them questions. 

"Why did you put this number there?" "Explain the process you used for this." "Why isn't this number an integer?"...

Inequality Puzzles

As we got back from Christmas break, I needed to review what we learned right before we left: Inequalities.

I did a short small group lesson and added some notes to the math notebook and then I started pulling small groups. 

In these small groups, we put together some puzzles. 

Each puzzle had a word problem, number line, an inequality, and an inequality solution. I made this because I wanted to do something more than, "Here is a word problem, now solve it." It was more interactive and the students responded well to working to find matches. 

If you want this product, you can purchase it by clicking the picture below or HERE. 

100 Minutes to Teach Math!

I have three math classes and each class lasts 100 minutes. It is a ridiculously long time to teach math compared to 50 minutes, but I fill every minute of every class period. I do not know how I could fit everything into a shorter amount of time.

Not every 6th grader loves doing math for 100 minutes. I have to break up the class period with several activities to keep their interest. 

Time	Activity
15 minutes	Daily Math Review Consists of 4 computation-only problems. The students practice the same types of problem every day for 2 weeks and then they take a quiz. After students work in groups, we grade it together. This week, students are working on integer operations, exponents, and ordering rational numbers.
30 minutes	Whole Group Instruction Introduce topics, do whole group activities, add to the interactive math notebook This is not always direct instruction. Whole group instruction looks different every day. Students may learn about manipulatives (most recently Algebra Tiles). They may also work together to come up with their own rules for the math they are learning.
45 minutes	Math Stations & Small Group Instruction Students work in heterogeneous groups working on fact fluency, iLearn (a math website that all my students have an account to), and practice skills learned in previous weeks with games, task cards, stations, etc. While students work, I pull homogeneous groups to work on the new skill introduced in whole group instruction. I have 5-6 groups per class that I pull depending on the class and how much time I have to pull them all. We do 2-3 rotations in 45 minutes.
10 minutes	Exit Ticket Practice problems, writing in mathematics, Plickers questions… it varies.

This would be on a normal day. Of course everyday is not perfect. Some days there are tests, or pictures, or field trips. Someday I don't do whole group instruction at all and just do small group instruction. 

Because we spend so much time every day doing math, I don't give a whole lot of homework. Maybe one homework assignment a week, and usually not problems. I like to assign mini-project that students would actually want to do and where they can use their own creativity. 

Small Group Table

I think I was on Pinterest last week when I saw these dots and had to have them. They are dry erase dots about a foot in diameter and they stick to surfaces. (And can be re positioned but I haven't done that yet.)

They make my small group table pop and make it easy for me to get started in my organized mess. No more hunting down where I last laid the small whiteboards. 

I have plans to organize this area of my classroom soon. There is a filing cabinet there filled with old worksheets from previous teachers that needs to go. 

The reviews I read online said to not leave what you write on these dots too long or it will be harder to erase. I would also imagine that some colors won't erase to easily either. 

There was three in every package and I bought two packages. I think it is my best investment in my classroom so far. I have just had the students write on the table before, but this is just more fun. They come in lots of colors! Click on the picture below to take you to amazon for all the colors.

This is my little helper in the classroom with me. With two parents who are teachers, she has a life of being in the classroom after hours.