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# Exploring Fractions and Decimals Unit Plan – Year 3 and Year 4

11 x Lessons

This Mathematics unit covers a range of concepts relating to fractions and decimals.

It consists of 11 lessons of approximately 60 minutes duration.

The sequence of lessons and suggested time frames should be regarded as a guide only; teachers should pace lessons in accordance with the individual learning needs of their class.

An assessment task for monitoring student understanding of the unit objectives is included and will require an additional lesson.

## Lessons

### Recognizing Common Fractions

A 60 minute lesson in which students will recognize common unit fractions such as halves, thirds, quarters and fifths.

### Creating Common Fractions

A 60 minute lesson in which students will represent common unit fractions and their multiples to create a whole.

### Identifying Equivalent Fractions

A 60 minute lesson in which students will identify equivalent fractions for one half, one third, one quarter and one fifth.

### 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.

### Counting By Fractions

A 60 minute lesson in which students will count by common unit fractions and mixed numerals.

### Converting Improper Fractions and Mixed Numerals

A 60 minute lesson in which students will convert between improper fractions and mixed numerals.

### 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.

### 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.

### 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.

### Introduction to Decimals - Tenths

A 60 minute lesson in which students will explore tenths as fractions and in decimal notation.

### Introduction to Decimals - Hundredths

A 60 minute lesson in which students will explore hundredths as fractions and in decimal notation.

### Exploring Fractions and Decimals Assessment - Year 3 and Year 4

An assessment task in which students will demonstrate an understanding of fractions and decimals.

#### Common Core State Standards alignment

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers > CCSS.MATH.CONTENT.3.NF.A.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 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers > CCSS.MATH.CONTENT.3.NF.A.2
Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Grade 3 > Standards for Mathematical Practice > Number & Operations - Fractions > Develop understanding of fractions as numbers > CCSS.MATH.CONTENT.3.NF.A.3
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Extend understanding of fraction equivalence and ordering > CCSS.MATH.CONTENT.4.NF.A.1
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > CCSS.MATH.CONTENT.4.NF.B.3 > CCSS.MATH.CONTENT.4.NF.B.3.B
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Understand decimal notation for fractions, and compare decimal fractions > CCSS.MATH.CONTENT.4.NF.C.6
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.