Partition circles and rectangles into two, three, or four equal shares.
Describe the shares using the words halves, thirds, half of, a third of, fourths, fourth of, quarter of.
Describe the whole as two halves, three thirds, four fourths.
Explain that equal shares of identical wholes need not have the same shape.
Step 1: Lesson Standards & Learning Goals
In this standard, students partition rectangles, including squares, and circles of various sizes into two, three, or four equal shares (pieces). Students are expected to describe two aspects of fractions. First, students are expected to describe the shares (pieces) of a whole using words such as halves, half of, thirds, a third of, fourths, a fourth of, and a quarter of.
Second, students are expected to describe a whole as being composed of smaller pieces, including two halves, three thirds, and four fourths. All of students’ work with this standard should include students partitioning rectangles, including squares, and circles by folding paper, drawing, or shading graphs paper. While discussing their partitioning, students should use the words, halves, thirds and fourths, and the phrases half of, third of and fourth of (or quarter of) to describe their thinking and solutions. Working with “the whole”, students understand that “the whole” is composed of two halves, three thirds, or four fourths.
The last bullet of this standard requires students to independently explain that equal shares of identically sized wholes may not have the same shape. Students should understand that fractional parts may not be the same shape. The only criteria for equivalent fractions is that the area is equal. Students should partition circles and rectangles in multiple ways, so they learn to recognize that equal shares can be different shapes within the same whole.
This work related to this standard integrates the concept that there are multiple ways to partition shapes. For example, a half can be created with a horizontal, vertical, or diagonal line through a rectangle, including a square, or a circle. Fourths can be created by first partitioning a shape in half, and then partitioning each shape in half to make 4 equal pieces which are fourths. This idea that “half of a half is a fourth” is to be explored and discussed in Grade 2 as it is foundational for fractions work in future grades.
What does it mean to "partition" a shape?
How can circles and rectangles be divided into equal-sized parts?
What words can be used to name those equal-sized parts?
How can equal-sized parts of a region have the same area, but not necessarily the same shape?
What different strategies can we use to partition rectangles and circles?
equal parts
fourth of
fourths
fraction
half
half of
halves
justify
partition
quarter
rectangle
share
square
third of
third
whole
Describe the shares (pieces) of a whole using words such as halves, half of, thirds, a third of, fourths, a fourth of, and a quarter of.
Describe a whole as being composed of smaller pieces, including two halves, three thirds, and four fourths.
Partition rectangles, including squares, and circles by folding paper, drawing, or shading graphs paper.
Partition circles into two, three, and four equal shares.
Partition rectangles into two, three, or four equal shares.
Partition circles and rectangles in multiple ways.
Use the words, halves, thirds and fourths, and the phrases half of, third of and fourth of (or quarter of) to describe their thinking and solutions.
Explain that equal shares of identically sized wholes may not have the same shape.
Rectangles can be partitioned into equal sized shares, including squares.
Circles can be partitioned into equal sized shares.
A whole is composed of smaller pieces, including two halves, three thirds, and four fourths.
For this grade level, each piece or share of a whole can be described as half of, third of, and fourth of depending on how it is partitioned.
Equal-sized parts of a region have the same area, but not necessarily the same shape.
Step 2: Assessment
NC.2.G.3 - CO - Howell - Mar.28, 2023
NC.2 - Cluster 9 Review - CO - Howell - Feb. 24, 2023
NCDPI Assessments
Grade 2 Math Assessment Practice Prompts
Step 3: Lesson Instructions
Anchor Chart
Read Aloud
Exploration and Experience
Teacher Information - https://www.youtube.com/watch?app=desktop&v=z8FU1MdPAkg
Tools 4 NC Teachers
Cluster 9 Lessons
Math Expressions - (Barnes and Hearne) - Standards Alignment
Motivation Math
Think Up! Math
Khan Academy - 2nd Grade Math
Eureka Math/Engage NY Free Resources
Embarc Online (Eureka Math) -
Zearn Math - Online Support Practice for Eureka Math (Requires free account)
North Carolina Collaborative for Mathematics Learning - Grade 2 Instructional Framework
NCDPI Resources
Grade 2 Math Assessment Practice Prompts
Grade 2 Released Summative Assessments
