Understanding Fractions through Real-World Tasks

Grade 3 / Math / Modeling
CCSS: Math.3.NF.A.1 Math.3.NF.A.2a Math.Practice.MP4

Common Core State Standards

Math

Math

3

Grade 3

NF

Numbers & Operations--Fractions

A

Develop understanding of fractions as numbers

1

Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.


Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

3

Grade 3

NF

Numbers & Operations--Fractions

A

Develop understanding of fractions as numbers

2a

Understand a fraction as a number on the number line; represent fractions on a number line diagram.


a. Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.


b. Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.


Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, 8.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

Practice

Mathematical Practice Standards

MP4

Model with mathematics.

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

Download Common Core State Standards (PDF 1.2 MB)

In Partnership with

and

Lesson Objective

Solve a real-world problem about fractions of watermelons

Length

6 min

Questions to Consider

  • Why is it helpful to begin by activating students' prior knowledge?
  • How does Ms. Franco encourage students to push each other's thinking?
  • When does Ms. Franco listen actively without evaluation? Why is this important?

Common Core Standards

Math.3.NF.A.1, Math.3.NF.A.2a, Math.Practice.MP4

Watch all the videos in this series.

Common Core Standards
Math.3.NF.A.1, Math.3.NF.A.2a, Math.Practice.MP4

Supporting Materials

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  • Understanding Fractions through Real-World Tasks Transcript

  • Lesson Plan: Three-Phase.PDF

  • Worksheet: Jake's Watermelon.PDF

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