# Operations with Decimals and Percentages Unit Plan

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11 x Lessons |1 x Assessment | Suitable for Grades: 5 - 6

This Mathematics unit covers a range of concepts relating to decimals and percentages; specifically calculations.

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.

### Overview

#### Objectives

• To review decimal place value and compare, order, and represent decimals.
• To add and subtract decimals.
• To multiply and divide decimals by powers of 10.
• To multiply decimals by whole numbers.
• To divide decimals by whole numbers.
• To make connections between equivalent fractions, decimals, and percentages.
• To calculate percentage discounts of 10%, 25%, and 50%.
• To calculate sale price using percentage discounts of 10%, 25%, and 50%.
• To apply knowledge of decimals and percentages to a real-world context.

#### Preparing for Learning

Prior to beginning the unit, develop a decimal and percentages wall in the classroom. Display posters and word wall vocabulary that the students will engage with throughout the unit to stimulate their learning. For examples of such resources, browse the Fractions, Decimals, and Percentages category on the Teach Starter website.

There are many concepts to address within the topic of decimals and percentages. The lessons in this unit cover a range of these concepts, many of which have varying degrees of complexity. Teachers are encouraged to select lessons from the unit that best suit the learning needs of their students, or to adapt lessons accordingly.

Some of the resources which accompany this unit plan will need to be prepared prior to teaching. For this reason, it is advised that teachers browse through all lessons before starting the unit.

### Lessons

#### Exploring Decimal Place Value

A 60-minute lesson in which students will review decimal place value and compare, order, and represent decimals.

##### Lesson 2

A 60-minute lesson in which students will add and subtract decimals.

#### Multiplying and Dividing by Powers of 10

A 60-minute lesson in which students will multiply and divide decimals by powers of 10.

#### Multiplying Decimals by Whole Numbers

A 60-minute lesson in which students will multiply decimals by whole numbers.

#### Dividing Decimals by Whole Numbers

A 60-minute lesson in which students will divide decimals by whole numbers.

#### Fraction, Decimal, and Percentage Equivalence

A 60-minute lesson in which students will make connections between equivalent fractions, decimals, and percentages.

#### Calculating Discounts

A 60-minute lesson in which students will calculate percentage discounts of 10%, 25%, and 50%.

#### Calculating Sale Price

A 60-minute lesson in which students will calculate sale price using percentage discounts of 10%, 25%, and 50%.

#### Math Investigation - Prepare to Party (1)

A 60-minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.

#### Math Investigation - Prepare to Party (2)

A 60-minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.

#### Math Investigation - Prepare to Party (3)

A 60-minute lesson in which students will apply knowledge of decimals and percentages to a real-world context.

#### Operations with Decimals and Percentages Assessment

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

#### Common Core Curriculum alignment

• CCSS.MATH.CONTENT.5.NBT.A.1

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

• CCSS.MATH.CONTENT.5.NBT.A.2

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denot...

• CCSS.MATH.CONTENT.5.NBT.A.3

Read, write, and compare decimals to thousandths.

• CCSS.MATH.CONTENT.5.NBT.A.4

Use place value understanding to round decimals to any place.

• CCSS.MATH.CONTENT.5.NBT.B.7

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written me...

• CCSS.MATH.CONTENT.6.RP.A.3.C

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.