## Reflection: Rigor Exploring Equivalence - Section 1: Launch

The purpose of this reflection is to clarify what I mean when I use the terms model, drawing, symbols, and pictures.  I use these words frequently in my lessons, as well as with my students.

Model- a model can be a physical representation using manipulatives or a drawing of what this representation would look like

Drawing- shows a mathematical concept (not in the way an artist would) in a simple picture that usually represents models using manipulatives.

Symbols- numbers, variables, and signs (operations) usually in the form of an equation or expression.

Pictures- students are encouraged to use mathematical drawings rather than pictures (the way an artist might draw something)  because they are more efficient. However, it is important to allow students the option of drawing a picture when they need it to help make sense of a problem.

When working with fractions, I will steer my students away from modeling fractions with circles.  Fraction bars (tiles) and number lines are much more helpful for the students because fractions have to show equal parts.  Often students have a hard time breaking circles up appropriately if it is a more challenging denominator (anything over 12, odd numbers etc).

Models, drawings, symbols, pictures. What do these words mean?
Rigor: Models, drawings, symbols, pictures. What do these words mean?

# Exploring Equivalence

Unit 2: Adding and Subtracting Fractions
Lesson 2 of 11

## Big Idea: Students have opportunities to connect the different representations, including models, to make sense of equivalent fractions.

Print Lesson
42 teachers like this lesson
Standards:
Subject(s):
Math, modeling, Fractions, equivalent fractions
40 minutes

### Julie Kelley

##### Similar Lessons

###### Pretest
6th Grade Math » Fraction Operations
Big Idea: What do students already know about fractions? What gaps do students have in their understanding? Students take the fractions pretest in order to inform instruction.
Favorites(38)
Resources(9)
Somerville, MA
Environment: Urban

###### Adding and Subtracting with Fractions
6th Grade Math » Number Sense
Big Idea: Using common denominators with fractions will help the students learn to divide fractions.
Favorites(17)
Resources(24)
Plainfield, IL
Environment: Suburban

###### Recalling Prior Knowledge of Adding and Subtracting Fractions
5th Grade Math » Adding and Subtracting Fractions with Unlike Denominators
Big Idea: The denominator represents the WHOLE and the numerator represents the BITS/PIECES so in order to add fractions we need to have the same denominator.
Favorites(19)
Resources(25)
Seattle, WA
Environment: Urban