Format
This program begins with an introduction to Professor Raab in the Math Lab.
We discuss division problems.
Then we introduce Fraction Hero with a short video to solve a division problem that requires sharing.
We return to Fraction Hero who introduces the idea of Unit Fractions as expressions of equal shares. Counting of Unit Fractions is practiced.
A video call from Andre spurs a discussion about comparing unit fractions. We count unit fractions and discuss how much of a cake is eaten and uneaten.
A short game show is played to reinforce and assess the learning.
Objectives
The Participant will:
Partition a Whole Into Equal Parts, identifying and counting Unit Fractions using concrete models, fraction strips, and pictorial area models
Represent and Identify Fractional Parts of Different Wholes
Partition a Whole into Equal Parts to identify the Unit Fraction, and build Non-Unit Fractions Less than One from Unit Fractions
Identify and Represent Shaded and Non-Shaded Parts of One Whole as Fractions.
Represent Parts of One Whole as Fractions with Number Bonds
Standards Alignment
State Standards
New York State — Next Generation Mathematics Learning Standards (Grade 3)
Domain: Number & Operations — Fractions (3.NF)
(Note: In Grade 3, NYS limits fractional work to denominators of 2, 3, 4, 6, and 8.) New York State Education Department
NY-3.NF.1
Understand a unit fraction 1/bas the amount formed when a whole is divided into bequal parts. NYLearns
NY-3.NF.2
Recognize and generate equivalent fractions and use them to compare fractions (e.g. showing that 2/4=1/2). New York State Education Department
NY-3.NF.3
Express fractions on a number line diagram; understand the size of a fraction in relation to 0, 1, and other fractions. New York State Education Department+1
NY-3.NF.4 (limited in Grade 3)
Compare two fractions with the same numerator or same denominator by reasoning about their size.
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Domain: Geometry (3.G)
NY-3.G.2
Partition shapes into equal-area parts and express each part as a unit fraction of the whole (for example, dividing a rectangle into 4 equal pieces and labeling each as 1/4). IXL Learning+1
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Connections to This Program (Aligned to NYS 3rd Grade)
This program supports students in:
Dividing a whole into equal parts (using area models, region models, etc.)
Understanding and naming unit fractions (e.g. one half, one third, one quarter)
Composing non-unit fractions (a/b, where a>1) by combining unit fractions
Recognizing and generating equivalent fractions (especially among denominators 2, 3, 4, 6, 8)
Placing fractions on a number line and relating fraction size to points between 0 and 1
Comparing fractions (with the same numerator or same denominator) by reasoning about their relative sizes
Partitioning geometric shapes into equal-area regions and naming those regions using unit fraction notation