# Module 8 - Math 4B - Course Guide

## Module Overview:

In this module, students will learn about comparing decimals using area models, decimal circles, and number lines. They will learn about comparing decimals and deciding if a comparison is reasonable. Students will learn about equivalent measurements of length and measuring with customary units of length. Students will measure with inches, feet and yards and learn how to convert between the different types of measurements. Students will estimate length measurements. Students will learn about measuring weight and mass. They will learn about using tables to represent equivalent measurements of weight. Students will learn about converting units of weight. They will learn about problem solving and estimating weight.

## Module Materials:

Lesson # Lesson Title Material(s)
1 Compare Decimals Using Area Models Colored pencils or markers
2 Compare Decimals Using Decimal Circles Colored pencils-thin markers or crayons
3 Compare Decimals Using Number Lines Math Notebook
4 Explaining Decimal Comparisons Math Notebook
5 Represent Equivalent Measures of Customary Units of Length Math Notebook
6 Measuring With Inches Math Notebook
7 Measuring and Converting Length Measurements Ruler
8 Estimating Measurements of Length Ruler
9 Measuring Weight and Mass Optional - Scale
10 Equivalent Measurements of Weight Math Notebook
11 Weight Conversions Math Notebook
12 Problem Solving and Estimating Weight Math Notebook

Module Objectives:

Lesson # Lesson Title Objective(s)
1 Compare Decimals Using Area Models
1. Compare decimals using area models.
2 Compare Decimals Using Decimal Circles
1. Compare decimals using decimal circles.
3 Compare Decimals Using Number Lines
1. Compare decimals using number lines and meter sticks.
4 Explaining Decimal Comparisons
1. Demonstrate and explain the reasonableness of comparisons.
5 Represent Equivalent Measures of Customary Units of Length
1. Use tables to represent equivalent measurements.
6 Measuring With Inches
1. Measure; compare; and estimate length in inches; feet; yards; miles.
7 Measuring and Converting Length Measurements
1. Measure; compare; and estimate length in inches; feet; yards; miles.
2. Compare lengths by converting measurements from smaller to larger units and from larger units to smaller units.
8 Estimating Measurements of Length
1. Measure; compare; and estimate length in kilometers; meters; and centimeters.
2. Measure; compare; and estimate length in inches; feet; yards; miles.
9 Measuring Weight and Mass
1. measure; compare; and estimate weight and mass in; pounds; ounces; tons; kilograms; or grams.
10 Equivalent Measurements of Weight
1. use tables to represent equivalent measurements.
11 Weight Conversions
1. Compare weights and masses by converting measurements from smaller to larger units and from larger units to smaller units.
12 Problem Solving and Estimating Weight
1. Solve word problems involving masses of objects.
2. Use diagrams to represent measurement quantities with a scale.
3. Measure; compare; and estimate weight and mass in; pounds; ounces; tons; kilograms; or grams.

Module Key Words:

Key Words
math
decimal
tenth
hundredth
compare
visual model
decimal circle
number line
meter stick
reasonable
length
measure
customary
metric
foot
inch
yard
conversion table
feet
yards
tape measure
yardstick
convert
estimate
weight
mass
kilogram
gram
pound
ounce
scale

Module Assignments:

Lesson # Lesson Title Page # Assignment Title
1 Compare Decimals Using Area Models 6 Practice Using Models to Compare Decimals
2 Compare Decimals Using Decimal Circles 7 Practice Comparing with Decimal Circles
3 Compare Decimals Using Number Lines 7 Practice Using Number Lines to Compare Decimals
4 Explaining Decimal Comparisons 6 Practice Explaining Reasonable Comparisons
5 Represent Equivalent Measures of Customary Units of Length 5 Conversion Tables
6 Measuring With Inches 6 Practice Measuring
7 Measuring and Converting Length Measurements 7 Practice Converting and Comparing
9 Measuring Weight and Mass 8 Practice Reading Scales
10 Equivalent Measurements of Weight 4 Creating Conversion Charts
11 Weight Conversions 5 Conversion Practice
12 Problem Solving and Estimating Weight 6 Practice Problem Solving and Estimating

## Learning Coach Notes:

Lesson # Lesson Title Notes
1 Compare Decimals Using Area Models In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
2 Compare Decimals Using Decimal Circles
3 Compare Decimals Using Number Lines
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• Give your student 5 sets of decimal numbers to compare, and have your student draw a number line to find out which number is greater in each set in their Math Notebook.
4 Explaining Decimal Comparisons
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• Give your student 5 sets of decimals to compare using place value. Have them write the decimal sets in their math notebook and note which decimal number is greater.
5 Represent Equivalent Measures of Customary Units of Length
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• Give your student a variety of customary measurements (inches, feet, yards) and ask them to convert those measurements to either (inches, feet or yards), have them write their conversions in their Math notebook.
6 Measuring With Inches
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math notebook draw 5 lines of different lengths. Have your student use a ruler to measure how many inches long each line is and record the measurements on the lines.
7 Measuring and Converting Length Measurements
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math notebook have your student copy the conversion chart for customary units of measurement found on page 6 of the lesson.
8 Estimating Measurements of Length Take your student on a walk around the neighborhood and have them estimate the length of different things outside such as a house, a tree, a car, etc. Have them write down the objects they estimated with their estimations in their math notebook.
9 Measuring Weight and Mass In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
10 Equivalent Measurements of Weight
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their math notebook write down different measurements of pounds and have your student write what it would be in ounces. Then write different measurements of ounces and have them write what it would be in pounds.
11 Weight Conversions
• In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.
• In their Math notebook have your student write the conversion chart from page 3 of the lesson.
12 Problem Solving and Estimating Weight In this lesson have your student complete the practice activity first before looking at the answer key. Be sure to monitor this. When they check their answers using the key have them circle what they got wrong and talk about why they got it wrong and make corrections.

## 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
Compare Decimals Using Area Models
1. What is an area model?
Compare Decimals Using Decimal Circles
1. What is a decimal circle?
Compare Decimals Using Number Lines
1. How can you compare decimals using a number line?
Explaining Decimal Comparisons
1. How can you use place value to compare decimals?
Represent Equivalent Measures of Customary Units of Length
1. What units of measurement are in the customary system of measurement?
Measuring With Inches
1. Is an inch a customary unit of measurement or metric unit of measurement?
Measuring and Converting Length Measurements
1. What customary units of measurements do you use to measure the length of larger items?
Estimating Measurements of Length
1. What are some strategies you can use to estimate length?
Measuring Weight and Mass
1. What is the difference between weight and mass?
Equivalent Measurements of Weight
1. What are some units of measurements for weight?
Weight Conversions
1. How many pounds are in a ton?
Problem Solving and Estimating Weight
1. How can you use a number line to help you solve problems related to weight?

## 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
Compare Decimals Using Area Models Fractions and Decimals: Uses and Comparisons
1. How did the students in the video use area models to show fractions and decimals?
Compare Decimals Using Decimal Circles Make Circle Graphs
1. What do circle graphs show?
2. How do you make circle graphs?
Compare Decimals Using Decimal Circles Ordering Decimals from Greatest to the Least
1. What are some tips to remember when ordering decimals?
Compare Decimals Using Number Lines Using a Number Line to Compare Decimals
1. How can you use a number line to compare decimals?
Explaining Decimal Comparisons Compare Decimals
1. What steps do you follow when comparing decimals?
Represent Equivalent Measures of Customary Units of Length Measuring Length
1. What number should your ruler line up with at the beginning of your measurement?
2. What system of measurement do we use in the United States?
3. What system of measurement is used in the rest of the world?
4. What are the units of measurement in the metric system?
5. What are the units of measurement in the customary system?
Measuring With Inches Measuring Length
1. What number should your ruler line up with at the beginning of your measurement?
2. What system of measurement do we use in the United States?
3. What system of measurement is used in the rest of the world?
4. What are the units of measurement in the metric system?
5. What are the units of measurement in the customary system?
Measuring and Converting Length Measurements Converting Units-Colosseum
1. How many feet are in 1 yard?
Estimating Measurements of Length Estimating Height of a Totem Pole
1. What steps did they use in the video to estimate the height of the totem pole?
Measuring Weight and Mass Mass
1. What is mass?
2. What is the relationship between mass and force?
3. What is weight?
Measuring Weight and Mass Weight
1. What is weight?
2. What types of scales can you use to measure weight?
Equivalent Measurements of Weight Weight: Pounds and Ounces
1. How many ounces are in a pound?
Weight Conversions Changing Units of Weight to Pounds
1. What are the rules for changing units of weight?
Problem Solving and Estimating Weight Estimating Weight
1. What are some strategies you can use to estimate the weight of an object?

## 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

## Module Outing:

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

# Outing