GT Differentiated Exemplar Lesson
Mathematics TEKS/Student Expectations:
Grade Level: 5
Subject Area(s):
Title: Prime and
Composite
Numbers
__ Reading, Writing,
__ Science
X Mathematics
__ Social Studies
Essential Question(s):
Algebraic reasoning. The student applies mathematical process standards to develop
concepts of expressions and equations. The student is expected to:
5.4A identify prime and composite numbers;
How can you tell whether a number is prime or composite?
Assessment(s):
__ Pre-Assessment
X Formative
GT Scope and Sequence Skills:
X Summative
Student Learning Styles:
st
(Aligned with 21 Century Skills
Framework & College and Career
Readiness Standards)
__ Auditory
X Creative Thinking
__ Visual/Spatial
X Critical Thinking
__ Communication
X Kinesthetic
X Other: Logical/Mathematical
Elements of Depth and
Complexity:
X Language of the Discipline
__ Details
X Patterns
__ Trends
X Rules
X Research
__Ethical Considerations
__Unanswered Questions
__ Over Time
X Different Perspectives
X Big Ideas
Lessons and Activities
X Whole Class
__ Small Group
X Independent Activity
Resources:
PART ONE:
Whole Class:
Review the vocabulary words – factors, multiples, products. Have students work in small groups
to list the factors for all numbers 1-25 on a T-chart (see example in the Resource Column).
Snap cubes
Grid paper
100s charts
Provide grid paper and snap cubes for students, in case they need to use manipulatives to find all
the factors. Ask students to identify patterns that they see – “all even numbers have more than 2
factors (except 2)”; “every number has 1 as a factor”; “some numbers have an odd number of
factors”, etc.
Advanced Academic Services
Austin Independent School District
Define the vocabulary words – prime, composite, square and have students record in their math
notebooks.
Discuss which numbers on the list are prime and which are composite.
On Grade Level:
Students complete two activities on the Prime & Composite Numbers Project Menu (see
slideshare link in the Resources Column), totaling 10 points. **On the menu sheet, the total
number of points is blank so can be filled in.
GT Level Group:
Students complete at least two activities on the Prime & Composite Numbers Project Menu (see
slideshare link to right), totaling more than 10 points (at least one of their activities must come
from the 8 point menu). **On the menu sheet, the total number of points is blank so can be
filled in.
Extensions:
After completion of project menu items, students who finish early can either complete an
additional item on the menu, or can play Fruit Splat – a fun game that is leveled and allows
students to practice identifying prime and composite numbers.
Teacher Notes:
To the right is a slideshare link for dichotomous key instructions to show students how to create a
dichotomous key.
http://www.slideshare.net/sammenheuser/prime-andcomposite-numbers-menu-35797897
adapted from Westphal, L. “Differentiating Instruction
with Menus: Math”. Prufrock Press Inc.
http://www.slideshare.net/sammenheuser/dichotomouskey-instructions
extracted from Westphal, L. “Differentiating Instruction
with Menus: Math”. Prufrock Press Inc.
Fruit Splat
http://www.sheppardsoftware.com
/mathgames/numbers/fruit_shoot_prime.htm
Advanced Academic Services
Austin Independent School District
Process Assessment
Teacher observes the following:
Process Observation - Frequency:
Student demonstrates inquiry skills throughout the stages of the tasks.
Seldom/Never
Occasionally
Often
Consistently
Process Observation – Frequency:
Student uses language of the discipline during interactions with peers and teacher
Seldom/Never
Occasionally
Often
Consistently
Process Observation – Quality:
S
Student ideas are creative and original throughout the task.
Typical of Peers
Fluent Thinker
Flexible Thinker
Unique and Original
Process Observation – Quality:
Student uses background information to form appropriate responses.
Typical of Peers
Fluent Thinker
Flexible Thinker
Unique and Original
Product Assessment
You are encouraged to design your own rubric. Below are useful links to support your use of rubrics in the classroom: RubiStar: http://rubistar.4teachers.org/;
Teachnology: http://www.teach-nology.com/web_tools/rubrics/; Rubrics for Teachers: http://www.rubrics4teachers.com/
Advanced Academic Services
Austin Independent School District