PRIME TIME UNIT PLAN
The Essential Academic Learning Requirements met
In this unit, the student will:
1.1 - Understand and apply concepts and procedures from number sense.
1.2 - Understand and apply concepts and procedures from measurement.
2.1 - Investigate situations.
2.2 - Formulate questions and define the problem.
2.3 - Construct solutions.
3.1 - Analyze information.
3.2 - Predict results and make inferences.
3.3 - Draw conclusions and verify results.
4.1 - Gather information.
4.2 - Organize and interpret information.
4.3 - Represent and share information.
5.1 - Relate concepts and procedures within mathematics.
5.2 - Relate mathematical concepts and procedures to other disciplines.
5.3 - Relate mathematical concepts and procedures to real-life situations.
Investigation 1: The Factor Game
Mathematical and Problem-Solving Goals
To classify numbers as prime or composite
To recognize that some numbers are rich in factors, while others have few factors
To recognize that factors come in pairs and that once one factor is found, another can also be found
To discover the connection between dividing and finding factors of a number
Day 1
Discuss the concepts of Factors, Divisors, Proper Factors
Introduce the Factor Game
Play an example game with the class
Have students play against one another
Assign Factor Game Worksheet, with two games filled out
Day 2
Play Factor Game, one side of class versus the other
Discuss Factor Game strategies
Assign Winning the Factor Game Worksheet
Day 2+ (Honors)
Discuss the First Moves Chart
Discuss how an expert would play the Factor Game
Pass out Factor Chart
Assign Expert’s Factor Game and Factor Chart 1-200
Day 3
Discuss the First Moves Chart
Pass out Factor Chart
Assign ACE 14, 16, 17, 19 (p.13-14) and Factor Chart 1-100
Day 4
Pass back and discuss Unit Project from Data About Us
Investigation 1 Mini Quiz
Investigation 2: The Product Game
Mathematical and Problem-Solving Goals
To review multiplication facts
To develop understanding of factors and multiples and of the relationships between them
To understand that some products are the result of more than one factor pair
To develop strategies for winning the Product Game
To create a new Product Game to play with a friend
Day 5
Discuss the concept of Product
Introduce the Product Game
Play an example game with the class
Have students play game against one another
Discuss Product Game strategies
Discuss: multiples
Day 5+ (Honors)
Introduce multiplying positive and negative integers
Assign Multiplying Positives and Negatives Worksheet
Have students play the Product Game II
Day 6
Assign Making Your Own Product Game Worksheet and ACE 1, 2, 5-10, 13 (p.22)
Day 7
Have students play their own Product Games with one another
Assign ACE 14, 17-20 (p.23)
Day 8
Introduce Venn Diagrams, Common Multiples
Assign ACE 12, 15-17 (p.23-24) and Mathematical Reflections Worksheet
Investigation 3: Factor Pairs
Mathematical and Problem-Solving Goals
To recognize that factors come in pairs
To visualize and represent a factor pair as the dimensions of a rectangle with the given number is its area
To determine whether a number is prime or composite, even or odd, and square or nonsquare based on its factor pairs
To develop an informal sense of how many factors must be checked to be sure all the factors of a number have been found
Day 9
Discuss the definition of a rectangle and a square
Build rectangles with tiles
Discuss the concept of Square Numbers
Assign ACE 1-8 (p.30)
Day 10
Discuss the concepts of Even Numbers, Odd Numbers, and Conjectures
Discuss modeling even and odd numbers with tiles
Assign Reasoning with Odd & Even Numbers Worksheet and Vocabulary
Discuss how to prove conjectures
Day 11
Assign ACE 10-14, 16-19
Day 12
Go over Vocabulary
Quiz tomorrow
Assign Quiz Correction
Day 13
Quiz
Assign Cross-Number Puzzle
Investigation 4: Common Factors and Multiples
Mathematical and Problem-Solving Goals
To recognize situations in which finding factors and multiples of whole numbers will be helpful in answering questions
To observe and reason using patterns of factors and multiples
To use properties of factors and multiples to explain some numerical facts about everyday life
Day 14
Discuss greatest common multiples and Least Common Multiples
Discuss the ferris wheel story
Assign Riding Ferris Wheels worksheet
Day 15
Discuss student observations of the LCM
Assign Problem 4.2, 4.2 Follow-Up, and ACE 5-7, 14-16 (p.40)
Pass back and discuss quizzes
Day 16
Discuss the concept of Greatest Common Factor
Discuss the party story
Assign ACE Worksheet, with Challenge being extra credit
Day 16 (Honors)
Discuss the concept of Greatest Common Factor
Pass out and discuss Third Period Conjectures Worksheet
Discuss the party story
Assign ACE Worksheet, including Challenge
Day 17
Assign Reflections Worksheet
Retake quizzes available for those who want
Investigation 5: Factorizations
Mathematical and Problem-Solving Goals
To recognize that a number may have several different factorizations but, except for order, each number greater than 1 has exactly one factorization into a product of primes (the Fundamental Theorem of Arithmetic)
To use several different strategies for finding the prime factorization of a number
To recognize primes as the building blocks of whole numbers
Day 18
Discuss the concepts of Factorizations and Prime Factorizations
Introduce Factor Trees
ACE 1-6, 8-10 (p.52)
Day 19
Mini-Pop Quiz – partners
Assign Product Puzzle
Day 20
Discuss the concept of Exponents
Discuss the use of exponents with prime factorizations
Assign Exponents and Prime Factorizations Worksheet and ACE 7, 11, 12 (p.52)
Day 21
Discuss using prime factorizations to find the GCF and factor pairs
Assign Using Prime Factorizations Worksheet and ACE 21, 22
Day 22
Discuss using prime factorizations to find the LCM
Assign Using Prime Factorizations II Worksheet
Day 23
Pass out and discuss Divisibility Rules
Assign Reflections Worksheet
Investigation 6: The Locker Problem
Mathematical and Problem-Solving Goals
To use ideas about the multiplicative structure of numbers – such as primes, composites, factors, multiples, and square numbers – to solve problems
To simulate a problem, gather data, make conjectures, and look for justification for those conjectures
To reason mathematically and to communicate ideas clearly
Day 24
Introduce the Locker Problem
Have students act out the first several lockers
Pass out Locker Problem packets
Assign the Locker Problem
Day 25
Discuss the Locker Problem
Assign ACE 4-7, 9-10 (p.61)
Day 26
Collect Locker Problems
Unit Test tomorrow
Assign Practice Unit Test
Day 27
Assign Cleaning Crew Worksheet
Have students take the Unit Test
Day 28
Discuss the Cleaning Crew Worksheet
Assign Vocabulary
Introduce the Vocabulary Game
Play the Vocabulary Game
Entry Slip #4
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