##
* *Reflection: Developing a Conceptual Understanding
Conversion of Centimeters to Millimeters using Yarn - Section 3: Practicing in the classroom

In this Educreations clip, I am showing a couple of samples of work where you can see the students' work in mastering the part of the standard that talks about relative sizes and of conversions. In order for them to grasp relevant sizes on a higher level, I wanted them to learn to measure, convert using the ruler by counting by tens and be able to see how 22 cm looks and that 220 mm is not larger. This assignment gives them a concrete understanding that even though we have multiplied by 10, both 22cm and 220 mm are exactly the same thing. Through this understanding, I can build from here leading them to understand decimeters. If they see the units as we construct them in powers of ten, liters and grams will be more easily understood and converted.

*A concrete introduction*

*Developing a Conceptual Understanding: A concrete introduction*

# Conversion of Centimeters to Millimeters using Yarn

Lesson 5 of 18

## Objective: SWBAT use the correct tool to measure and convert from a larger unit to a smaller unit.

## Big Idea: Students have a blast cutting and measuring, in centimeters, 5 lengths of yarn. They then convert the units to millimeters using a centimeter ruler as the number line model.

*45 minutes*

**Rationale: **

The goal of the core lesson today is to measure using centimeters and then learn to convert the measurements to a smaller unit by using the ruler ( number line).

**Warm UP: Review of Relative Sizes**

*I reviewed relative sizes to set the stage for understanding what a cm and mm look like, beyond the ruler or measuring tape. This fulfills a portion of the standard as it helps students to understand relative sizes of units of measurement. *

We first reviewed what a centimeter looked like. All students took their thumb and index finger and used it against their other finger to the first knuckle to indicate the relative size of the centimeter. Some students had a little trouble. I told them that they should look at their peers and try to imitate them since most had it right. Those students adjusted their fingers and we were good to go!

The next item of business was for them to tell me what a millimeter looked like. They all grabbed a strand of hair. No one messed that up! It appears that using the piece of hair to model a mm. works quite well! I recommend sticking with that idea!

Then, I drew a stair step ladder model on the board with only centimeter and millimeter on it and had students draw it on their Educreations or Whiteboard ap. We reviewed that moving from a centimeter to a millimeter would be multiplying by ten. I wrote 7 cm on the step and asked how many millimeters it was and all of them replied, 70 mm. (Resource: PDF example and explanation of Stair Step Model for further reference)

*I don't believe that they truly understand the why behind the conversion by just using a stair step ladder. The stair step model helps with visualizing and organizing the units. I think it is the best tool because of the relevant direction it lends of "up and down" Today I want to make sure that they learn to count by 10's to fully understand the conversion.*

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I began today's lesson with my Educreations explanation of how to understand conversions by using the centimeter ruler. I had students seated on the floor in front of the SB as I presented my lesson whole group. *I had emailed this lesson to all of my students for reference for their notes. This ap is a wonderful tool, especially if a student is absent. They can see their lessons immediately and it is personal because it records my teaching...my familiar voice. I can individualize easily using this ap.*

I presented this lesson whole group so that questions could be asked and shared together as we learn to measure and use a centimeter ruler. I was concerned about them understanding the concept of .5 centimeters and the conversion of that and other decimal (10ths) of the centimeter to millimeters.

I was surprised how easily they caught on. They could relate it to 1/2 being .5. So, they have a concept of the relationship between the decimal point and the fraction of 1/2. I did not delve into multiplying the decimal by ten, but focused on the idea that they calculated the whole number in millimeters first and then understood that the decimal point number is already representing millimeters.

*Students were sent back to their desks as we prepared to practice reading the ruler as their number line. *

*expand content*

#### Practicing in the classroom

*30 min*

**Materials:** 8.5 by 11 inch pieces of construction paper. Scissors and glue. Balls of scrap yarn. ( I keep a bag in my cabinet. My friend who crochets gives me her scrap yarn all rolled up in a ball. It comes in really handy! ) A centimeter ruler for each student. The finished product will look like this: How they should look!

I told my students that they would be measuring and practicing their conversion skills using their rulers and counting. I wrote the instructions on my white board.

**Instructions: **

1. Take a piece of paper and choose a ball of yarn to use.

2. Cut five different size pieces of yarn making sure it isn't longer or wider than the paper.

3. Glue down each piece of yarn on the paper and measure it in centimeters.

4. Write the measurement in centimeters underneath or near the piece of yarn.

5. Using your ruler, count by tens to find the mm measurement.

As students started to cut, glue and measure, I roved around checking their understanding. I noticed one student having difficulty. I sat with him and worked one on one until he was Measuring Correctly. This young man did a great job! He's got it!

*expand content*

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- UNIT 1: Place Value and Multi-Digit Addition & Subtraction
- UNIT 2: Metric Measurement
- UNIT 3: Graphing and Data
- UNIT 4: Concepts of Multiplication
- UNIT 5: Geometry
- UNIT 6: Fractions 1: Understanding Equivalence in Fractions and Decimals
- UNIT 7: Fractions 2: Addition and Subtraction Concepts/ Mini unit
- UNIT 8: Fractions 3 Mini Unit: Multiplying Fractions by Whole Numbers
- UNIT 9: Division Unit
- UNIT 10: Addition and Subtraction: Algorithms to One Million
- UNIT 11: Place Value
- UNIT 12: Addition and Subtraction Word Problems
- UNIT 13: Multiplication Unit

- LESSON 1: Pumpkin Math! Introduction to Metric Units
- LESSON 2: Metric Measurement: Playing with Non Standard Measurement & a CCSS Pre test
- LESSON 3: So What's a Meter Look Like?
- LESSON 4: Building a Meter: Comparing units.
- LESSON 5: Conversion of Centimeters to Millimeters using Yarn
- LESSON 6: Conversions: Finding a Decimeter and Conversion to Centimeters
- LESSON 7: Lewis and Clark and Kilometers
- LESSON 8: The Meter: Assessing the Skill and Conversions Part 1.
- LESSON 9: There's No Business Like Shoe Business: Part 2 Real World Applications to Assess the Standard
- LESSON 10: Finding a Gram
- LESSON 11: Building a Liter
- LESSON 12: Word Problem Language and Conversion
- LESSON 13: Designing the Perfect Floor Plan: Showing Understanding of Area and Perimeter
- LESSON 14: Conversion Quiz: This One, Not That One! Writing About Our Choices
- LESSON 15: Master those Area and Perimeter Word Problems with Strategies!
- LESSON 16: Quiz 2: Area & Perimeter Word Problems Using Metric Measurement
- LESSON 17: Centers for Reviewing Metrics!
- LESSON 18: Metric Unit Assessment