Erving Students at Work!

Students at Work

2021 - 2022

Kindergarteners explore materials

The work of kindergarteners is to explore and count! They notice properties of shapes and develop critical early numeracy skills. They are working on understanding the relationship between numbers and quantity.

The Counting Jar

1st graders defining important attributes of shapes

such as sides, vertexes and angles.

They are thinking together about what other shapes compose a hexagon. They said things like, "I think there are three rhombuses in it" and "it's bigger than a trapezoid ... I think two trapezoids fit into an hexagon."

Second graders investigate materials and count cups during Math Exploration.

Students added using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

They "counted groups of 8" and noticed as they counted each row of their pyramid that each one was "one less each time".

Wow! 8 groups of 8!

How many cups make the triangle-shaped tower?

So many ways to count cups!

Third graders collect data that interested them pets and restaurants!

Then they make a scaled bar graph to represent a data set with several categories.

5th graders working on Number Puzzles

They collaborate, using clues that help them think about factors, multiples, square numbers and prime numbers. They use strategies based on place value, the properties of operations, and/or the relationship between multiplication and division to help them figure out the clues. They may also use equations, rectangular arrays, and/or area models.

6th graders work on questions about surface area using

real-life boxes and a computer program called DESMOS

The students represent three-dimensional figures using nets made up of rectangles on their ipads,

and use the nets to find the surface area of figures. They used the context of solving real-world and mathematical problems.

2020 - 2021

Kindergarten class

Friday October 15, 2020

Lots of math in kindergarten! Students are learning so much. Here is what they told Miss Polly: "We learn about things and count and compare them." "We count things and figure out how many are in a bowl." Students counted their own collections. Below are examples of students' thinking while looking at their teachers' collection of cubes and discs.

Here are all the expressions that kindergarteners came up with:

2 + 2 + 2 + 1

3 + 4

4 + 4 -1

"There's 2 and 4 because there are 2 yellow and 4 red. 1, 2, 3, 4, 5, 6.

"3 and 3 make 6. 3 is on the bottom ... or give a red to the yellow."

September 2020

3rd & 4th Graders Early Multiplication Work

IMG_0086.MOV

Here's a 1st grader sharing his math thinking with his teacher. Notice how flexible he is as he combines numbers! When he makes a mistake, he talks about how good it is to double check his thinking and to know multiple ways of solving a problem.

A fourth grader working on a division problem. Click on the image to hear her reasoning and how she uses multiplication to think about division.

IMG_1191.MOV

File_003.mov

Kindergartners trying to figure out how many gems to put in the treasure chest by figuring out the total of each expression.

A fifth grader organizing fractions in order from smallest to largest. He's trying to figure out which is larger, 3/4 or 5/6 and drawing a representation to prove his answer of 5/6ths.

Mrs George and Mrs Desorgher teaching 4th graders a multiplication game called Big Array, Small Array. Students try to find two arrays that fit perfectly into one larger array.

A fifth grader thinking about how many cubes would fit in the pyramid she made. She thought knowing the dimensions of the base and the height might help her figure it out. What do you think comes next?

Launch NT 36x17.MP4

The next four video clips are examples of a typical "Number Talk" happening in 5th grade. This first short clip gives you a sample of how a Number Talk may be launched. Most Number Talks are facilitated without the use of pencil and paper. This Talk was done with a different purpose in mind so students did write down their solution paths. What follows are some examples of how students solved 36x17. You'll see examples of students who solved it by using the U.S. standard algorithm, using partial products, as well as using a visual representation. You'll also see a student share his mistake. All done in the public forum of the classroom.

1 NT 36x17.MP4

2 NT 36x17.MOV

4 NT 36x17 open array.MP4

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