This page lists the Learning Objectives for each core lesson in Unit 3
of 13.
Factors and Greatest Common Factors
The student will be able to:
- Define factor, whole number, counting number, remainder, quotient, and greatest common factor.
- Find and list all factors of a given whole number.
- Find the greatest common factor of two or more whole numbers.
- Describe the procedure for finding greatest common factors.
- Apply concepts using factors and greatest common factors to solve problems.
Multiples and Least Common Multiples
The student will be able to:
- Define multiple and least common multiple.
- Find and list the set of multiples of a given whole number.
- Find the least common multiple of two or more whole numbers.
- Describe the procedure for finding least common multiples.
- Apply concepts using multiples and least common multiples to solve problems.
Prime and Composite Numbers
The student will be able to:
- Define prime, composite and inclusive.
- Determine if a given whole number is prime or composite by finding all factors.
- Find all prime numbers within a given range of whole numbers.
- Describe the procedure for determining if a number is prime or composite.
- Demonstrate that there are several solutions to an open-ended problem.
- Apply concepts using prime and composite numbers to solve problems.
Divisibility Tests
The student will be able to:
- Define divisibility test.
- State the divisibility tests for the numbers 2, 3, 4, 5, 6, 8, 9 and 10.
- Apply a single divisibility test to a given whole number.
- Apply various divisibility tests to a given whole number.
- Apply several divisibility tests to determine if a given number is prime or composite.
- Recognize the need for divisibility tests when working with large whole numbers.
- Apply divisibility test strategies to solve problems.
Exponents
The student will be able to:
- Define base and exponent.
- Read and write numbers in exponential form.
- State the rules for numbers with an exponent of 0 and 1.
- Convert numbers between exponential form, factor form, and standard form.
- Apply concepts using exponents to solve problems.
Pattern and Exponents
The student will be able to:
- Define powers.
- Identify patterns that result from listing the powers of a given number in sequence.
- Given a list of powers of a number, predict the next number in the list.
- Given a base raised to the nth power, find that base raised to the n+1 power with a single multiplication.
- Apply advanced exponent concepts to solve problems.
Practice Exercises
The student will be able to:
- Identify the procedure and concepts needed to solve each problem.
- Apply number theory concepts to solve problems.
Challenge Exercises
The student will be able to:
- Analyze each problem to identify the given information.
- Identify the concepts and procedures needed to solve each problem.
- Apply number theory concepts to solve non-routine problems.
- Identify connections between number theory and the real world.
- Develop strong problem-solving skills.
Solutions
The student will be able to:
- Analyze the solution for each exercise presented in this unit.
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