NTPS Math Plan Lesson Overview: Unraveling the Locker Problem

Lesson Title: Unraveling the Locker Problem

Resource and Page Number: Prime Time, Investigation 5, Lesson 5.1

Sessions 2 days

Quarter 1 NTPS Power Standard 2: GCF and LCM WA P.E. 5.2.D

Mastery/Extension

Key Concept(s) addressed:

Numbers and Operations o Factors and multiples

Key Skill(s) addressed:

Determine whether one number is a multiple of another number

Identify or list factors

Determine the least common multiple or the greatest common factor of two numbers

Language addressed: prime and composite numbers, factor, multiple, greatest common factor, least common multiple

Crafting (Launch):

Follow the lesson as described modeling the problem with the first 12 lockers.

Use students to play the role of locker doors (holding signs) and the students that open and close the doors.

Composing (Explore):

Students in groups of 2 or 4 will model the problem for the first 30 students and lockers.

Change 1,000 students and lockers to 100 student and lockers. Extend to 1,000 later on if you’d like.

Reflecting (Summarize):

Discuss Problems 5.1.B, C 1, D, E 1-3, F, G 1

What elements of this lesson are concrete?

Lockers

What elements of this lesson are representational?

Data table

What elements of this lesson are abstract?

Finding common multiples and factors in a problem situation

Recommended ACE Questions:

1, 2 A-C, 3 A, 4, 5, 8, 9, 11-13

Additional Notes:

Change 1,000 students and lockers to 100 student and lockers.

This lesson touches on the definition of square numbers. Fifth grade students are not required to learn square numbers, but it’s a great extension opportunity for your class.

See Labsheets scanned below following the lesson plans.

Assessment and Support Resources

Assessment

Kagan Structures

Ongoing Practice

Intervention

Differentiation