Math 3.3
Number and operations. The student applies mathematical process standards to represent and explain fractional units. The student is expected to:
- (1) represent fractions greater than zero and
less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete
objects and pictorial models, including strip diagrams and number lines;
- (A) determine the corresponding fraction greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 given a specified point on a number line;
- (B) explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;
- (C) compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;
- (D) solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;
- (E) represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines;
- (F) explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model; and
- (G) compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.
- Plus Plan
Understanding Equivalence
A 60 minute lesson in which students will identify and explore equivalent fractions.
- Plus Plan
Exploring Unit Fractions
A 60 minute lesson in which students will identify and explore common unit fractions.
- Plus Plan
Sixths and Eighths
A 60-minute lesson in which students will identify and create sixths and eighths.
- Plus Plan
Thirds and Fifths
A 60 minute lesson in which students will identify thirds and fifths.
- Plus Plan
Exploring Fractions and Decimals Assessment - Year 3 and Year 4
An assessment task in which students will demonstrate an understanding of fractions and decimals.
- Plus Plan
Fractions Investigation - Fly That Flag (3)
A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.
- Plus Plan
Fractions Investigation - Fly That Flag (2)
A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.
- Plus Plan
Fractions Investigation - Fly That Flag (1)
A 60 minute lesson in which students will apply knowledge and understanding of fractions to a real-world context.
- Plus Plan
Converting Improper Fractions and Mixed Numerals
A 60 minute lesson in which students will convert between improper fractions and mixed numerals.
- Plus Plan
Counting By Fractions
A 60 minute lesson in which students will count by common unit fractions and mixed numerals.
- Plus Plan
Equivalent Fractions on a Number Line
A 60 minute lesson in which students will locate and represent some common equivalent fractions on a number line.
- Plus Plan
Identifying Equivalent Fractions
A 60 minute lesson in which students will identify equivalent fractions for one half, one third, one quarter and one fifth.
- Plus Plan
Creating Common Fractions
A 60 minute lesson in which students will represent common unit fractions and their multiples to create a whole.
- Plus Plan
Recognizing Common Fractions
A 60 minute lesson in which students will recognize common unit fractions such as halves, thirds, quarters and fifths.
- Plus Plan
Understanding Fractions Assessment - Grade 3 and Grade 4
A 60 minute assessment designed to assess student learning.
- Plus Plan
Improper Fractions and Mixed Numerals
A 60 minute lesson in which students will convert between improper fractions and mixed numerals.
- Plus Plan
Reducing Fractions to Lowest Terms
A 60 minute lesson in which students will learn to reduce fractions to their lowest terms.