Understand mathematical progression of Measurement in elementary grades

Understand the concepts needed to understand measurement

Explore the levels of thinking and Big Ideas of measurement

1. Measurement Standards

We use measurement daily. Why is Measurement so hard for students?
Look at the Measurement standards at your grade level.
Are the standards: major standards, supporting standards or additional standards?
Share out the focus of measurement at your grade level Focus standards by grade Common Core State Standards

2. Readings

Read Van de Walle Measurement introduction (K-2, 3-5, 6-8) first three pages

Read Confer Sizing up Measurement introduction (copy)

Read Big Ideas and levels of thinking. Discuss the levels of thinking. In your group, use math tools to model each of these levels of thinking

3. Levels of Thinking

1. Unit iteration - the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured
2. Structuring Length - end-to-end, straight, no gaps or overlaps
3. Inverse relationship between the size of the unit and the # of units
4. Conservation of length - a different position does not change the length
5. Transitive reasoning - ability to compare objects that are not side by side. If the length of object A is equal to the length of object B, and the length of object B is equal to the length of object C, the length of object A is equal to the length of object C.
6. Equal partitioning - the mental action of dividing an object into equal parts or units

4. Math Workshop with length
You will do a series of math tasks involving length. The tasks progress in development. As you do the tasks, you will consider which concepts or levels of thinking the students may be learning.
Read, 5 Ways to Improve Children's Understanding of Length Measurement.

5. Broken Ruler Activity

Ability to use any two sets of marks on a ruler
Can you measure the perimeter of a shape using only a broken ruler?

Measure the length of string needed to wrap exactly around the shape.

Using only the broken ruler section, find the lengths of the sides and the perimeter.

Is the sum of the four sides the same as the length of string?

Measure the shape cutouts using your broken ruler

6. Perimeter/Area

Understand the relationship between these two measures

Rectangles task

Measurement Relationships- Area and Perimeter Fencing tasks

Perimeters of different shapes

7. Day two prep

Work with 2-4 people at your grade level. Choose a measurement activity or geometry activity.

8. Day one homework

Read Van de Walle Chapter on Measurement
Read Essential Understandings at your grade band- Measurement understandings
Prepare for presentation

9. Measurement Sources

Essential Understanding of Geometry and Measurement into Practice K-2

Essential Understanding of Geometry and Measurement into Practice 3-5

5 Ways to Improve Children's Understanding of Length Measurement

September 16, Sept 30## Day One

## Table of Contents

## 1. Measurement Standards

We use measurement daily. Why is Measurement so hard for students?Look at the Measurement standards at your grade level.

Are the standards: major standards, supporting standards or additional standards?

Share out the focus of measurement at your grade level

Focus standards by grade

Common Core State Standards

2. Readings

1.3. Levels of ThinkingUnit iteration- the number of units = the distance being measured; placing the length of a small unit repeatedly along the length of an object being measured2.

Structuring Length- end-to-end, straight, no gaps or overlaps3.

Inverse relationshipbetween the size of the unit and the # of units4.

Conservation of length- a different position does not change the length5.

Transitive reasoning- ability to compare objects that are not side by side. If the length of object A is equal to the length of object B, and the length of object B is equal to the length of object C, the length of object A is equal to the length of object C.6.

Equal partitioning- the mental action of dividing an object into equal parts or units4. Math Workshop with lengthYou will do a series of math tasks involving length. The tasks progress in development. As you do the tasks, you will consider which concepts or levels of thinking the students may be learning.

Read, 5 Ways to Improve Children's Understanding of Length Measurement.

## 5. Broken Ruler Activity

Ability to use any two sets of marks on a rulerCan you measure the perimeter of a shape using only a broken ruler?

## 6. Perimeter/Area

Understand the relationship between these two measures## 7. Day two prep

Work with 2-4 people at your grade level. Choose a measurement activity or geometry activity.## 8. Day one homework

Read Van de Walle Chapter on MeasurementRead Essential Understandings at your grade band- Measurement understandings

Prepare for presentation

9. Measurement Sources## Day Two

Exploring Area and levels of understanding

## Area and Arrays

Surface Area and VolumePresentations