Friday, January 2, 2015

The Best Place Value Experience for 2nd Graders!

2nd graders need lots of experience decomposing numbers as they work with place value concepts. I often see these guys carefully pulling numbers apart: "167 is one hundred, 6 tens, and 7 ones". They are correct, but are they truly understanding place value with this exercise or just memorizing hundreds, tens and ones?

To check whether students are really thinking things through, I introduce an activity with brown paper bags. Inside the bag are flats (100s), rods (10s) and cubes (1s)

I label the bag with a number and fill the bag with a different combination of base ten blocks. Students are not allowed to open the bag!

They can pick it up to feel the weight, they can shake it up a bit, but they can't look inside. They need to make an educated guess about what combination of blocks are inside the bag. 

The bag labeled 147 can be composed of different combinations:
147 cubes
1 flat, 4 rods and 7 cubes
1 flat, 3 rods and 17 cubes
1 flat, 2 rods and 27 cubes
1 flat, 1 rod and 37 cubes
1 flat, and 47 cubes
14 rods and 7 cubes
and so on...........

It is a lot of fun for students, and as they record their guesses, they begin to really delve deeply into the concept of place value. 

Saturday, November 29, 2014

Volume Within Volume

Students need to be able to think about volume both spatially, and mathematically. They also need to model with mathematics. I recently created some problems around volume that have students determining how many smaller boxes will fit into a larger box.

Students can actually think about it spatially and use manipulatives or mentally determine how many smaller boxes will fit, or they can determine it mathematically by finding the volume of both small and large boxes, then dividing. While I was at it, I created many different problems that have students working with volume in a real-world context. The 5th graders I worked with loved working on these problems and began to notice patterns with multiples and factors. 
Math - It Works
TPT Volume Within Volume

Saturday, November 8, 2014

Free Formative Assessment Idea

As math teachers, we work really hard to assess whether students are learning, how deep their understanding is, and how well they are self-assessing their own learning. Recently I have been trying a new type (well, new to me) of formative assessment. I used large note cards and put a green, yellow and red circle on one side. 

Towards the end of a lesson, I ask my class to hold up the card with their finger over the color that represents their stage of learning. 
Each color is tied to a specific phrase. 

Red means: "I really don't understand. My learning stopped when......."

Yellow means: "I'm starting to get it. I still don't understand ......."

Green means: I understand it well. I would like to know more about......"

These can be used as exit tickets where students have to write out the answers to whatever color they chose. Once students are adept at pinpointing where they are in the learning process, they can begin to verbalize it - making it easier for us to adjust our instruction.

Math - It Works for Common Core Activities, Assessments, Games and More
Teachers Pay Teachers

Saturday, September 27, 2014

How to Differentiate in the First Grade Classroom

I've been hearing a lot from first grade teachers lately. At the beginning of the year, when they are carefully teaching "firsties" the concept of addition and subtraction by using manipulatives and pictures, they have a handful of students that not only understand the concept, but can work with the numbers easily, with little effort. So how to challenge these students while giving others the time they need to practice? 

One activity that may fill in the gap for a couple of days are missing addend flashcards. I included addition sentences with missing start, change and end numbers. I used numbers that were a little less friendly and a little larger to make it a bit more challenging. I also laminated them so they could use an Expo marker and be able to use them many times. 

Laminated addition sentences. 
One unexpected benefit from using these cards, was the connection to place value. Any missing addend paired with a 10, like ___ + 10 = 15, became easy for students once they knew to look at the ones column of the sum.

Students also began to learn about the commutative property of addition - 8 + 3 = 11 and 3 + 8 = 11. 

There is also just something about being able to use markers that kids find irresistible!

Saturday, September 13, 2014

Great Way To Organize Math Manipulatives

What a nice surprise waited for me when I opened up my teaching partner's math cupboard! She had all her math manipulatives organized in tubs. This makes it easy to grab what you need in a hurry. She said it works well - when her first graders are done with the materials, they know to put them back into the tub and snap on the lid. 

Most of the smaller tubs are "Ziplock" brand tubs that are meant for several uses. This is her second year of using them and they still look brand new!

The Organized Math Cupboard
Math - It Works

Friday, August 22, 2014

Great Way to Look at the Mathematical Practices

Found a poster on the Internet that grouped the Mathematical Practices into mathematical behaviors. I made a poster to remind me, as I am lesson planning, to create activities that will weave these practices into the fabric of math.

Math - It Works

Saturday, August 16, 2014

The Problem with Teaching Math After Lunch (Freebie)

Teach math after lunch? That means you have students who are suddenly sluggish and groggy. They're ready for a nap while you have visions of engaged, bright-eyed students tackling the toughest problems. 

One thing I've found helpful is to start math before they even finish walking in the door. I have a stack of "answer cards" that I lay out on the desks ahead of time. As they walk in the door I hand them a problem card. They need to solve it and find the answer. (Their desk for the day) Every day they will sit in a different spot. 

This strategy has kept students from getting too comfortable, gets them using math right away, is a great review, and sets the tone of the class. Here is a sample freebie to get you started! 

                                                                          Desk Cards

                                                                      Math - It Works
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