# Fraction Number Proofs (3.NF.A.1)

Subject
Resource Type
File Type

PDF

(14 MB|21 pages)
Standards
• Product Description
• StandardsNEW

Number proofs are an engaging way for students to develop numeracy and algebraic thinking through problem-based learning.

In this workshop, students will prove or disprove number sentences relating to the meaning of unit-fractions. They will also develop an understanding of non-unit fractions as a multiple of unit fractions.

This lesson includes everything you will need for a 60-90 minute hands-on exploration:

• Introduction to number sentence proofs
• Lesson plan
• Graphic organizers
• Sample Problems
• Key
• Workshop Rubric
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in an argument-explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.
Understand a fraction 1/π£ as the quantity formed by 1 part when a whole is partitioned into π£ equal parts; understand a fraction π’/π as the quantity formed by π’ parts of size 1/π£.
Total Pages
21 pages
Included with rubric
Teaching Duration
90 minutes
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