Area of a Rectangle Model in Grades 3 - 6

This blogpost accompanies some work we're doing in a grade 5 - 6 PLC group.  We've been looking at how the area of a rectangle model progresses in the middle grades.  See below for videos and links to instructional plans.

Progression of Additive/Multiplicative Models:

• Modeling in one dimension (review of grade 1 and 2 additive model) - Mini-lesson on using Cuisenaire Rods to represent addition
• Modeling fractions in one dimension (review of grade 3 additive model) - Fraction Machine lesson plans (adding unit fractions) or Cuisenaire Linear Fraction Models

Tool Building - Counting with Fractions 

The Fraction Machine (Part 1)

The Fraction Machine Part 2

• Modeling in two dimensions (review of grade 3 and 4 multiplicative model) - Mini-unit on the area of a rectangle model for multiplication, and mini-unit on division models and lesson on divisibility rules. (In fifth grade, apply this model to find surface area of rectangular prisms.)
• Modeling fractions in two dimensions (fifth grade) - Mini-unit on multiplying fractions and mixed numbers.  (In fifth grade, apply this model to find surface area of rectangular prisms.) 

• Extend multiplicative model to three dimensions (fifth grade) - explore and generalize volume and surface area of rectangular prisms.
• Addition and subtraction of fractions with unlike denominators (fifth grade) - Instructional plan for adding and subtracting fractions. 
• Division of fractions in two dimension (sixth grade) - Mini-unit on dividing fractions 

Live from EMES - Low Floor High Ceiling Makeovers

This Prezi accompanies a workshop at East Montpelier Elementary School on October 5, 2016.