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Learning Gym: Intermediate Math: Decimals

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Intermediate Math: Decimals

Click on the document below to print out the tracking sheet you will use to guide you through the Decimals unit.

Introduction

   

 

Concept/Skill Sample Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 4 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work
What are Decimals?

0.78 is less than 1.  It is 7 tenths and 8 hundredths.

 

Intro to Decimals

6-12 99-103 62-65    

 

Problem Solving

   

 

Concept/Skill Sample YouTube Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 4 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work

 Word Problems with Adding Decimals

If you buy an adult movie ticket for $9.25 and a child movie ticket for $5.50, how much will you spend all together?  

Adding Decimal Word Problems

17  

74

   
Word Problems with Subtracting Decimals How much change will you get if you pay $25 and the total was $24.36? Word Problem-Decimal Subtraction     77    
Subtracting a Decimal from a Whole Number
Word Problems with Multiplying Decimals If you want to buy 50 ballons for a party and each one costs $3.27, how much will the balloons cost? Word Problems-Multiplying Decimals    

84-85

Complete Problems:

1-11, 13, 16

   
Multiplying Decimals-Solving Word Problems
Multiplying Decimals-Calculating Weekly Wages
Word Problems-Decimal Multiplication
Multiplying Decimals Word Problem
Word Problems with Dividing Decimals If you are going to pay $153.24 a month until you pay off a bill of $2,514.16, how many payments will you make altogether? Decimal Division-Word Problems     92-93    
Dividing Decimals-Word Problem
Dividing a Decimal by a Decimal Word Problem
Word Problems with Decimals and Mixed Operations
Ellen wants to buy the following items:
1.  A  DVD player for
$49.95
2. A DVD for $19.95
3. Headphones for $21.95
 
 Does Ellen have enough money to buy all three items if she has $90?
Word Problems-Decimal Operations Practice   Rational number word problem: school report   120-121     48-55: Exercises 1-7
Rational number word problem: cab
Concept/Skill Sample YouTube Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 4 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work
   

 

Calculations

   

 

Concept/Skill Sample Learn Zillion Khan Academy

Breakthrough to Math, Level 2, Book 4

Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work
Adding Decimals

2.34 + 74. 01 = 76.35

Adding Decimals

Introduction to adding decimals: tenths

13-15, 20 110 73 27  
Adding decimals with hundredths
Adding decimals: 9.087 + 15.31
Adding decimals: 0.822 + 5.65
Adding three decimals
Subtracting Decimals 13.21 - 7.58 = 5.63   Subtracting Decimals: 9.005 - 3.6 21-23

111

75 28  
Subtracting decimals 39.1 - 0.794
Subtracting decimals 9.57 - 8.09
Subtracting decimals 10.1 - 3.93
Multiplying Decimals 3.29 x 4.1 = 13.489

Multiply Decimals

Multiplying Decimals example 24-26 112-114 79-81 29  
Multiply multi-digit decimals using the standard algorithm Multiplying decimals: place value
Multiplying challenging decimals
Multiplying and Dividing Decimals by 10, 100, 1000 0.23 x 1,000=230 Multiply decimals by a power of 10 Multiplying a decimal by a power of 10

27-28

41-42

115

119

82

90

30

34

 
Dividing a decimal by a power of 10
Dividing a decimal by a power of 10: pattern
Dividing  Decimals by Whole Numbers   Dividing a decimal by a whole number 30-32 116 86 31  
Dividing Whole Numbers by Decimals

 

 

 

Dividing a whole number by a decimal

33-36   89 32  
Dividing Decimals by Decimals   Dividing decimals with hundredths 37-40 117-118 87-88 33  
Dividing decimals completely
Long division with decimals
Dividing by a multi-digit decimal
Rounding off Decimals 0.7892 rounded to the nearest hundredth is 0.79   Worked example: rounding decimals to the nearest tenth 43-45 107 71-72 35  
Rounding decimals on a number line
Concept/Skill Sample Learn Zillion Khan Academy

Breakthrough to Math, Level 2, Book 4

Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work
   

 

Conversions

   

Concept/Skill Sample Learn Zillion Khan Academy Breakthrough to Math, Level 2, Book 5 Foundations Mathematics Number Power 2 Breakthrough to Math, Workbook WorkWise: Math at Work
Converting Decimals to Fractions 0.6 = 3/5   Rewriting decimals as fractions: 0.08

15, Exercise 3B only

138, Exercise 4 only      
Rewriting decimals as fractions: 0.36
Decimal to simplified fraction
Converting Fractions to Decimals 3/5 = 0.6 Converting fractions into decimals to the tenths place Fraction to decimal: 11/25 46-48 138, Exercise 5 only 68-69 36  
Converting fractions into decimals to the hundredths place Worked example: Converting a fraction (7/8)
Converting fractions and mixed numbers to decimals

 

 

Problem Solving Post-Test 

Click here for the Adding and Subtracting Word Problems Post-Test.

See the Program Staff for a copy of the Multiplying, Dividing, and Mixed Operations Word Problems Post-Test.

 

Calculations Post-Test  

1.  In the Breakthrough to Math, Level 2, Book 4, complete the Post-Test on page 49. You may NOT use a calculator for this test.

2.  Answers can be found on page 50

3. A passing score is 11 out of 13.

 

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