Grade 11 Unit 1
Grade 11 Unit 1
804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc.
All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own.
ii
SETS, STRUCTURE, AND FUNCTIONS
The main theme in the study of mathematics in commonly understood to be the function. Importance of the function becomes more evident as you continue your study in mathematics. Many skills have to be mastered in order to study functions effectively. In
addition to the concept of functions, this LIFEPAC® contains a study of sets and the algebra of sets, the properties of the real number system, the skills involved with combining algebraic terms, and the use of the exponent.
OBJECTIVES
Read these objectives. The objectives will tell you what you should be able to do when you have successfully completed this LIFEPAC. When you have completed this LIFEPAC, you should be able to: 1. Combine sets through intersection and union. 2.
3.
4.
5.
Identify subsets.
Perform multiple operations of an expression in correct order.
Identify operational axioms when simplifying expressions.
Identify a function and its range and domain.
6.
Evaluate functions.
9.
Evaluate numbers raised to a power.
7.
8.
10. 11.
Find the inverse of a function.
Express repetitive factors in exponential notation.
Express fractions as numbers with negative exponents.
Simplify exponential notation.
Survey the LIFEPAC. Ask yourself some questions about this study. Write your questions here. ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________
1
OBJECTIVES
I. SETS
When you have completed this section, you should be able to: 1. Combine sets through intersection and union. 2. Identify subsets.
PROPERTIES
2
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3
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OPERATIONS
6
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7
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SELF TEST 1
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8
______________________________ ______________________________
Score Teacher Check
34 42
9
_______________________ _______________________ Initial Date
804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc.
All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own.
ii
SETS, STRUCTURE, AND FUNCTIONS
The main theme in the study of mathematics in commonly understood to be the function. Importance of the function becomes more evident as you continue your study in mathematics. Many skills have to be mastered in order to study functions effectively. In
addition to the concept of functions, this LIFEPAC® contains a study of sets and the algebra of sets, the properties of the real number system, the skills involved with combining algebraic terms, and the use of the exponent.
OBJECTIVES
Read these objectives. The objectives will tell you what you should be able to do when you have successfully completed this LIFEPAC. When you have completed this LIFEPAC, you should be able to: 1. Combine sets through intersection and union. 2.
3.
4.
5.
Identify subsets.
Perform multiple operations of an expression in correct order.
Identify operational axioms when simplifying expressions.
Identify a function and its range and domain.
6.
Evaluate functions.
9.
Evaluate numbers raised to a power.
7.
8.
10. 11.
Find the inverse of a function.
Express repetitive factors in exponential notation.
Express fractions as numbers with negative exponents.
Simplify exponential notation.
Survey the LIFEPAC. Ask yourself some questions about this study. Write your questions here. ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________
1
OBJECTIVES
I. SETS
When you have completed this section, you should be able to: 1. Combine sets through intersection and union. 2. Identify subsets.
PROPERTIES
2
_____________________________________________ ____________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
_____________________________________________________________________________________________
________________________________________________________________ ________________________________________________________________________ ____________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________________
3
___________________ ___________________ ___________________ ___________________
___________________
___________________ ___________________ ___________________ ___________________ ___________________
4
________________ ________________ ________________ ________________ ________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________
______________________________________________________________________________________________ 5
__________________________________________________________________ ______________________________________________________________________________________________
OPERATIONS
6
___________________________
___________________________
___________________________
___________________________
___________________________
___________________________
___________________________
___________________________
___________________________
___________________________
___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________
7
_____________ _____________ _____________ _____________ _____________
SELF TEST 1
_________________ _________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________ ________________________
______________________ ______________________ ______________________
8
______________________________ ______________________________
Score Teacher Check
34 42
9
_______________________ _______________________ Initial Date
