Correlation of ALEKS objectives, Pie 1, and ALEKS Online Worktext

  • The sections in the Worktext do NOT follow a mathematical decimal pattern.  They follow a chapter - section pattern.  So, 1.12 means "chapter 1, section 12" and comes after 1.11.  In other words the order is 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.10, 1.11, 1.12, and so on.

  • The Worktext Section below is linked to a website with explanations and exercises.  You will want to explore the options on this site to both see what is available and to help you learn.

....One important idea in Prealgebra is "order of operations." 

  • This is a site I have written.

  • This one is from math.com.  I like that it includes explanations and examples for you to work.  However, it does have annoying banners.

  • And another one from purplemath.

...Another important idea in Prealgebra is "translating between mathematics and language."

  •  This is a site I have written.

Prealgebra

139 Objectives

 

I. Whole Numbers

 

Worktext Section

A. Addition

arith001: Addition without carry

1.7

 

arith050: Addition with carry

1.8

 

arith012: Addition of large numbers

1.10

 

arith630: Addition with carry to the hundreds place

  

 

arith210:
Sample: Word problem using addition
Example: Tom purchased two stocks this year to add to his portfolio. The first stock has a current market value of$1,373, and the second stock has a current market value of$1,004.  What is the total current market value of these two stocks?
Answer:  1373 + 1004 = 2377
The total current market value of the two stocks is $2,377.

 

B. Multiplication

arith003: Multiplication without carry

1.20

 

arith004: Multiplication with carry

1.21

 

arith008: One-digit multiplication

1.19

 

arith014: Multiplication of large numbers

1.22

 

arith211: Word problem using multiplication
Sample:  Mary went to the bank to withdraw some money today. She received 5 ten-dollar bills. How much money did she receive?
Answer: 10 X 5 = 50
Mary received $50 from the bank.

 

C. Division

arith005: Division with carry

 

 

arith018: Long division

1.26

 

arith023: Word problem using division

1.28

 

arith052: Division without carry

1.24

 

arith062: Quotient and remainder

1.27

 

arith075: Simple division

1.23

D. Subtraction

arith006: Subtraction with borrowing

1.15

 

arith007: : Subtraction without borrowing

1.14

 

arith021: Word problem using subtration

1.17

 

arith682: Subtraction with multiple regrouping steps

 
  arith613: Word problems using addition or subtraction  

E. Numeral translation

arith028: Numeral translation: Problem type 1

1.3

 

arith060: Numeral translation: Problem type 2

1.4

F. Factors and prime numbers

arith033: Greatest common factor (GCF)

1.38

 

arith056: Factors

1.35

 

arith070: Least common multiple (LCM)

1.39

G. Order of operations

arith048: Order of operations Problem type 1

1.29

 

arith051: Order of operations Problem type 2

1.30

  arith645: Introduction to parentheses  
  alge285: Evaluating a simple algebraic expression: Problem type 3  
  arith655: Introduction to properties of addition  
  arith656: Introduction to properties of multiplication  
  arith656: Introduction to the distributive property  

H. Rounding, ordering, and average

arith061: Rounding problem type 2

1.6

 

arith078: Rounding problem type 1

1.5

 

arith101: Estimating a sum

1.11

 

arith102: Estimating a difference

1.18

 

arith077: Ordering large numbers

1.2

  arith651: Introduction to inequalities  
  arith604: Estimating a product or quotient  

I. Expanded notation

arith066: Expanded form

1.1

  arith643: Expanded form with zeros  
  arith028: Numeral translation: Problem type 1  
  arith028: Numeral translation: Problem type 2  

II. Fractions and proportions

 

 

A. Equivalent Fractions

arith623: Introduction to fractions

 

 

 arith663: Introduction to ratios  
  arith665: Introduction to equivalent fractions  
 

arith067: Reduced fraction

3.2

  arith212: Equivalent fractions  

B. Ordering fractions

arith044: Ordering fractions with same denominator

3.19

 

arith091: Ordering fractions with same numerator

3.20

 

arith092: Ordering fractions

3.21
  arith667: Plotting fractions on a number line  

C. Addition and subtraction

arith010: Addition or subtraction of fractions with same denominator

3.12
3.15

 

arith054: Addition or subtractions of fractions with different denominators

3.14
3.16

 

arith100: Fractional part of a circle

3.18

D. Multiplication and division

arith088: Reciprocal of a whole number

3.9

 

arith079:  Product of a unit fraction and a whole number

3.1

 

arith009: Unit fraction multiplication

3.1

 

arith086: Product of a fraction and a whole number

3.4

 

arith053: Fraction multiplication

3.5, 3.6

 

arith095: Word problem with fractions

3.22

  arith088: The reciprocal of a number  
  arith022: Fraction division  

E. Mixed numbers

arith015: Writing an improper fraction as a mixed number

3.3

 

arith215: Addition or subtraction of mixed numbers with same denominator

 

 

arith084: Addition of mixed numbers with same denominator and carry

3.13

 

arith216: Subtraction of mixed numbers with same denominator and borrowing

 

 

arith085: Subtraction of mixed numbers with different denominators

3.17

 

arith020: Mixed number multiplication: problem type 1

3.7

  arith662: Introduction to mixed numbers and improper fractions 3.8
  arith619: Writing a mixed numbers as an improper fractions  
  arith076: Mixed number multiplication Problem type 2  
  arith068: Mixed number division

3.11
F. Proportion arith064: Simple word problems on proportion  

III. Decimals and percents

 

 

A. Place Value

arith220: Decimal place value

 

 

arith221: Rounding decimals

 
  arith608: Ordering decimals  
  arith609: Ordering fractions and decimals  

B. Addition  and Subtraction

 arith624: Addition of aligned decimals  

 

 arith625: Subtraction of aligned decimals  

 

 arith626: Word problems with one decimal operation: Problem type 1  
  arith627: Word problems with one decimal operation: Problem type 2  

C. Multiplication and Division

arith082: Multiplication of a decimal by a power of ten

4.5

 

arith017: Multiplication of a decimal by a whole number

4.6

 

arith055: Decimal multiplication: problem type 1

4.7

 

arith045: Word problem with Powers of Ten

4.10

 

arith224: Word problems using decimal addition and multiplication

 

 

arith083: Division of a decimal by a power of ten

4.9

 

arith081: Division of a decimal by a whole number

4.11

 

arith019: Decimal division

4.12, 4.13

 

arith227: Word problems using decimal subtraction and division

 

D. Conversion between fractions and decimals

arith087: Converting a decimal to a fraction

4.14

 

arith222: Converting a fraction to a terminating decimal

 

 

arith089: Converting a decimal to a repeating decimal

4.15

 

arith223: Converting a mixed number to a decimal