Using Pattern Blocks to Build Understanding of Fractions
What will I do to help students interact with new knowledge?

We will develop meaning and understanding of fractions so that students can learn mathematics and enjoy learning mathematics. Teachers will learn strategies and participate in activities to develop understanding, flexibility and adaptability in their students’ fraction skills.

Resources:

Fluency in computation of fractions and decimals should be done after students have developed relevant conceptual understanding about fractions.

Presentation Goal: Develop meaning and understanding of fractions
  • So that students can learn mathematics and enjoy learning mathematics.
  • So that teachers can develop understanding, flexibility and adaptability in their students.

Agenda:
Presentation as PDF as Power Point
Introductions and Getting Started
Primacy Recency or Serial Positioning
Response Sheets
Wager Game with Pattern Blocks
Choral Response
Round the Table
Big Questions and Misconceptions about Fraction
Interaction Sequence
  • See slide on back page
Vocabulary—Find a Match
Fraction Extension, equivalent fractions and fraction operations
White Out
Phil Daro-Against “Answer-getting” http://vimeo.com/79916037
How to Create Slides
Number Sense on the Number Line and Number Strip

CHOICE—Pick from one of the activities below.
Plotting Fractions on the Coordinate Axis
  • We will only use the 1st quadrant so put the point (0,0) in the bottom left.
  • Label the horizontal or x-axis as the denominator.
  • Label the vertical or y-axis as the numerator.
  • Plot a fraction and label the point as that fraction.
  • Look for observations, patterns, and rules
  • create your own sequence look at slope
  • where are the fractions less than 1, = to 1 and greater than 1
  • What if fraction are in a vertical line, horizontal
  • Can the points on graph be used to order fraction
  • numerator stays the same and denominator changes
  • denominator stays the same and denominator change
The Unusual Baker
  • (See handout) Problem from NCTM Teaching Children Mathematics “Problem Solver” December 2011 and December 2012
Tangram
Fraction Apps
  • http://nmpdsagenda.wikispaces.com/Apps
  • Equivalent fractions, improper, addition, multiplication, and division
  • Equivalent Fractions app from NCTM plus tutorial on how to use
  • MathTappers: Equivalents Conversions between fraction, decimal, or percent. Player can select any two or all three at three levels of difficulty. Shows a graphic of part of circle, number line, or part of 100 squares.
  • MathTappers: Estimate Fractions Fractions are placed on a number line from 0-1 or 0-2.
National Library of Virtual Manipulatives

AFTER LUNCH

Fraction Power Points--today's plus more
Pattern Block Foundation
Fraction Misconceptions
Fraction Operations

How to Create Slides