Module 2: Introduction to Decimals - Course Guide

Module Overview:

In this module students will learn about identifying place value in whole numbers, identifying place value in decimal numbers, and learn how to describe relationships between place value places. Students will learn about exponents, powers of 10 and multiplying and dividing by powers of 10, and how to multiply decimals by powers of 10. Students will learn how to divide decimals by powers of 10.

Module Materials:

  • Pencils
  • Crayons or colored pencils
  • Notebook
  • Scissors
  • Glue
  • Highlighter
  • Markers
  • Blank paper

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Place Value in Whole Numbers
  1. Identify place value in multi-digit whole numbers.
  2. Read and write whole numbers using words.
2 Place Values in Decimals
  1. Identify place value in decimal numbers.
3 Place-Value Relationships
  1. Identify and describe relationships between numbers in adjacent place values.
4 Exponents
  1. Write numbers in exponential, expanded, and standard forms.
5 Powers of 10
  1. Identify and explain patterns of zeros when a number is multiplied by powers of 10.
  2. Use whole-number exponents to denote powers of 10.
6 Multiplying Decimals with Powers of 10
  1. Identify and explain patterns of decimal-point placement when multiplying decimals by powers of 10.
7 Dividing Whole Numbers by Powers of 10
  1. Identify and explain patterns of zeros when dividing by powers of 10.
8 Dividing Decimals by Powers of 10
  1. Identify and explain patterns of decimal-point placement when dividing decimals by powers of 10.

Module Key Words:

Key Words
place value
digit
decimal
tenth
hundredth
thousandth
base
exponent
power
exponential form
expanded form
standard form
divide
decimals
powers of 10

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Place Value in Whole Numbers 5 Assignment
2 Place Values in Decimals 7 Assignment
4 Exponents 5 Assignment
6 Multiplying Decimals with Powers of 10 5 Assignment
8 Dividing Decimals by Powers of 10 4 Assignment

Learning Coach Notes:

Lesson # Lesson Title Notes
1 Place Value in Whole Numbers
  • On index cards, write down 5 different numbers, one on each index card ranging from 1,000-900,000. Flip over one card at a time and have your student identify the place value for each digit in the number.
  • In their Math notebook, have your student define digit and place value.
2 Place Values in Decimals
  • Get out 5 index cards and write down 5 different numbers with decimals to the thousandths place in them. Write one number on each index card. Have your student identify the place value for every digit in each number.
  • In their Math notebook, have your student create a chart showing decimal place value.
3 Place-Value Relationships In their Math notebook, have your student describe the pattern in place value.
4 Exponents In their Math notebook, please have your student explain what exponents are, what powers mean, what a base number is, and the three ways to write exponents.
5 Powers of 10 In their Math notebook, have your student describe how to multiply with powers of 10.
6 Multiplying Decimals with Powers of 10 In their Math notebook, have your student describe how to multiply decimals by powers of 10.
7 Dividing Whole Numbers by Powers of 10 In their Math Notebook, have your student describe the steps involved to divide a whole number by powers of 10.
8 Dividing Decimals by Powers of 10 In their Math notebook, have your student describe how to divide decimals by powers of 10.

Module Guiding Questions:

When a student starts a lesson ask them questions to check for prior knowledge and understanding and to review concepts being taught. At the end of the lesson ask the questions again to see if their answer changes.

Lesson Title Question
Place Value in Whole Numbers
  1. What is place value?
  2. How do you use place value to read and write large numbers?
Place Values in Decimals
  1. How does the location of a digit affect its value?
  2. What are the places to the right of a decimal point called?
  3. How are decimals represented in standard form?
  4. How are decimals represented in expanded form?
  5. How are decimals written in word form and read out loud?
Place-Value Relationships
  1. What is the pattern in the place value of digits?
  2. How does the value of the number change when moved one place to the left?
  3. What happens to the place values as you move to the right in a number?
Exponents
  1. What are exponents?
Powers of 10
  1. How does the value of a number change as it is multiplied by powers of 10?
Multiplying Decimals with Powers of 10
  1. How do you multiply decimals by the powers of 10?
Dividing Whole Numbers by Powers of 10
  1. How do you divide whole numbers by the powers of 10?
Dividing Decimals by Powers of 10
  1. How do you divide decimals by powers of 10?

Module Video Questions:

When a student watches a video take time to ask them questions about what they watched. Suggested questions for the videos in this module are listed here. Suggestion: Have the student watch the entire video first all the way through. Then have them watch the video a second time, as they watch it pause the video and ask the questions.

Lesson Title Video Question
Place Value in Whole Numbers Place Value in Whole Numbers
  1. What is the difference between the standard form and word form of a number?
  2. What is expanded form?
Place Values in Decimals Place Value in Decimals
  1. What are decimals?
  2. How are decimals like fractions?
  3. What is the place value for decimals?
  4. What is one of the most important things decimals represent?
Place-Value Relationships Relationships Among Place Value
  1. Why is multiplying by 10 so easy?
Exponents Exponents
  1. What do exponents represent?
  2. What is the base number?
  3. What is the exponent?
Powers of 10 Powers of 10
  1. What is the pattern when multiplying by powers of 10?
Multiplying Decimals with Powers of 10 Multiplying Decimals with Powers of 10
  1. How can you use patterns to solve word problems?
Dividing Whole Numbers by Powers of 10 Dividing Whole Numbers by Powers of 10
  1. Describe the process of division.
  2. How do you divide whole numbers by the powers of 10?
Dividing Decimals by Powers of 10 Dividing Decimals by Powers of 10
  1. How do you divide decimals by powers of 10?

Module Suggested Read Aloud Books:

Take time to read to your student or have them read aloud to you. Read a different book each day. While reading the book point out concepts being taught. You may purchase these books or find them at your local library. Suggested things to discuss while reading the book:

  • What is the main idea?
  • What are three things new you learned?
  • How does this book relate to what you are learning about?

# Book Author Lexile Level
1 A Place for Zero Angeline Sparagna LoPresti AD660L
2 Sir Cumference and All the King's Tens Cindy Neuschwander AD720L

Module Outing:

Take some time to apply what your student is learning to the real world. Suggested outings are below.

# Outing