Number Sense and Variable Expressions-Whitney.docx

Technology Integration Workshop
2014
Unit Title: Number Sense and Variable Expressions
Grade Level: (example: 9, 10, 11, 12 or 7-8) 6th Grade
Subject Area: (example: Science, Physics; English, Short Stories) Math
Duration/Length/Number of class periods: (example: 5 class periods) 2-3 Weeks
Description: Through this unit students will be reviewing the basic math operations (including why we use the order of
operations), evaluating the use of estimation in real-life problem situations, and begin to explore the idea and use of
variables in problem situations. They will also begin to work on the use of exponents as they expand their understanding of
mathematical operations.
Established Goals (National, State, Local):
● I can assess the reasonableness of my results using estimation
● I can estimate using a variety of strategies
● I can define, identify, and use the terminology: sum, term, product, factor, quotient, coefficient, difference and
constant
● I can represent a changing or unknown quantity with a variable
● I can create an algebraic expression from a given situation
● I can identify and correctly use the order of operations
● I can write and evaluate numerical expressions involving whole-number exponents
● I can identify when two expressions are equivalent
● I can evaluate expression at specific values of their variables, including expressions that arise from formulas use in
real-world problems
What Enduring Understandings are desired?
● Checking for reasonableness of answers leads to self correcting of errors
● The structure of mathematics allows for the terminology and techniques used for numerical expressions to also work for
algebraic expressions
● When the language used in a mathematical expression is unclear, symbols and the order of operations are used to
communicate the meaning more clearly
● Variables represent quantities that can change
● Mathematical symbols in expressions communicate the order of operations
What Essential Questions will be considered?
● What is the purpose of The Order of Operations?
● What do exponents really represent and why are they used?
● Why estimate?
● How do patterns relate to math?
● Why do we use variables?
Students will know / be able to:
● Translate fluently between real world problems or mathematical situations and algebraic models involving variables
● Efficiently apply strategies for rewriting and evaluating expressions using the order of operations
● Use terminology related to algebraic expressions to communicate the meaning of the expression and the parts of the
expression
● Use estimation and mental computation strategies to reach solutions and judge reasonableness of answers found
Formative
Summative
Description
Pre-test (Google Form)
Facebook Sharing Problem
YouTube Videos: Teacher created videos to guide learning for
individual units.
Daily Problem Discussion/Evaluation: Students will be given
problems in class (3-4) that they will work on either on own or in
groups to solve in multiple ways that they can explain.
Students will then offer feedback to each other to determine
which way is most effective and why they think that.
Twitter: Students will be sending out tweets to #whitmath6
x
x
x
x
Intro
Activity
x
x
Learning
Activity
x
x
Student
Tech
Used
Teacher
Tech
Used
ISTE
Standards
x
x
x
x
x
x
1,2,3,4,5
6
x
x
1,2,5,6
x
about things they are learning, pointers for other students
Flipgrid: Students will send video responses to questions
posted by teacher (or other students). Chance for reflection
and discussion
Explain Everything: Students will create videos to explain
process as they work through problems that will be shared on
Edmodo for others to see and offer critique
Edmodo: Students will post reflections after activities
Quizzes: Check points to assess where students are with
understanding (Google Forms)
Final Test (Google Form) or Project option: Can students
answer the essential questions from the unit?
x
x
x
x
x
x
x
1,2,5,6
x
x
1,2,4,5,6
x
1,2,5
6
x
x
x
1,6
Materials, tools and resources: Twitter, Flipgrid, Explain Everything, Edomodo, Self created iBook using information from
ck12.org
Unit Plan Author (name, school and optional email address or hyperlink to teacher’s web page)
Rachel Whitney
Presentation of the Blessed Virgin Mary School
Additional credit given to
www.ck12.org