This document provides resources for a lesson to help students understand how to construct and analyze function tables, including how an equation relates independent and dependent variables. It includes the Common Core standard addressed, vocabulary, a lesson agenda, materials needed, potential misconceptions, and connections to textbook examples. The lesson will use a video and activity on pancake mix to demonstrate how tables can represent relationships between variables and how this relates to equations.

1. CC Math 6:
Expressions and Equations
Unit 3

2. Purpose
Standards
Expressions and
Equations
Learning
Progression
Lesson Agenda
Getting Ready
for the Lesson
(Resources and
Tips)
Vocabulary
Activities
Lesson
(Presentation
and Video)
Textbook
Connections
Additional
Resources
Provided is a lesson for teachers to use to help students
understand how to construct and analyze function tables. Included
are the following resources:

3. Common Core Standards
6.EE.9 Use variables to represent two
quantities in a real-world problem that change
in relationship to one another; write an
equation to express one quantity, thought of as
the dependent variable, in terms of the other
quantity, thought of as the independent
variable. Analyze the relationship between the
dependent and independent variables using
graphs and tables, and relate these to the
equation.
(Understand, 3) (Apply, 3) (Analyze, 3)

5. Math Practices
MP1
• Make sense of problems and
persevere in solving them.
MP8
• Look for and express regularity
in repeated reasoning.

6. Expressions & Equat
Prerequisite Skills: CC Math 6
https://commoncoretools.files.wordpress.com/2011/04/ccss_progression_ee_2011_04_25.pdf

7. Progressions in Grade Level
Standards
Grades K –
5
Connectin
g
standards
 Writing
numerical
expressions
 Interpreting
numerical
expressions
without
evaluating
them.
Source:
https://commoncoretools.files.wordpress.com/2011/04/ccss_progression_ee_2011_04_25.pdf-
6th
Grade
 Applying and
extending
previous
understanding
s of arithmetic
to algebraic
expressions.
 Reason about
and solve
one-variable
equations and
inequalities.
 Represent and
analyze
quantitative
relationships
between
dependent
and
independent
variables.
7th
Grade
 Use properties of
operations to
generate
equivalent
expressions.
 Solve multi-step
and real-life
mathematical
problems posed
with positive and
negative rational
numbers in any
form.
 Solve real-life
and
mathematical
problems using
numerical and
algebraic
expressions and
8th
Grade
**New Course
 Work with
radicals and
integer
exponents.
 Understand
the
connections
between
proportiona
l
relationship
s, lines, and
linear
equations.
 Analyze and
solve linear
equations
and pairs of
simultaneou

8. Learning Progression: Road to HS Algebra
http://commoncoretools.me/wp-content/uploads/2012/12/ccss_progression_algebra_2012_12_04.pdf

9. Lesson Agenda
OVocabulary
OVideo: Recognize how an equation relates
independent and dependent variables
OLesson: Pancake Mix
OTextbook Connections

10. Core Lesson
Recognize how an equation relates
independent and dependent variables

11. Getting Ready
O Pre-assessment- used to determine understanding of
prerequisite skills
O Prerequisite skills include
O 6 EE.1
O Write and evaluate numerical expressions involving whole number
exponents.
O 6 EE.2A
O Write expressions that record operations with numbers and letters
standing for numbers.
O 6 EE.6
O Use variables to represent numbers and write expressions when
solving a real-world or mathematical problem; understand that a
variable can represent an unknown number, or, depending on the
purpose at hand, any number in a specified set.
Source: http://curtismapper.pic.ucla.edu/MapApp/app/#/map

12. Misconceptions and Anticipated
Issues
Common Issues
a. Plotting points (y,x)
instead of (x,y).
b. Viewing the relationship
shown in an equation
backwards. For
example, y = 6x,
students may think this
means that x is 6 times
larger than y.
c. Not being able to
identify the independent
and dependent variables
Suggested
Strategies/Resources
a. Use a whole-class
discussion to review
order of plotting points.
b. Use a whole-class
discussion to analyze
and interpret the
relationship shown
within several sample
equations.
c. Teacher models how to
identify independent
and dependent variables
using think-aloud
strategy during whole-
class discussion.

13. Required Resources
Materials Required
Special Materials:
O Graph paper for each student
Handouts:
O LearnZillion presentation handouts
O LearnZillion additional worksheets
O https://learnzillion.com/lesson_plans/681-recognize-how-an-
equation-relates-independent-and-dependent-variables

14. Needed Vocabulary
O Equation Alternative
tools:
Word Map,
Layered Book,
etc.
Frayer
Model
Example

15. Learnzillion
For this lesson you need to create an
account to access the handouts from
Learnzillion.
This is a free account and you will have
access to many more lessons.

16. Understand and solve unit rate problems by
using graphs of equivalent ratios
https://learnzillion.com/lesson_plans/681-recognize-how-an-
equation-relates-independent-and-dependent-variables

17. Planning and Time
Activities Time Notes
Preparation 2 hours Includes creating a pre-
assessment, making
copies, obtaining materials
Pre-lessons 2 hours Review of 6th grade EE
standards
Vocabulary 1 hour Defining equation,
dependent and
independent variables
Pancake Task-Lesson 2 hours Explanation and
completion of work
Practice and Additional
Tasks
3 hours Additional worksheets from
LearnZillion, Textbook
practice, Illustrative
Mathematics Tasks
Total Time 10 hours

18. Textbook Connection:
California Math
O Textbook Course 1 Section 8.1
O Problem-Solving Investigation: Making a Table, Pages
611-612
O Classwork: Page 582-584, problems 1 – 7
O Homework: Page 584, problems 8-13
O Extra Practice: Course 1 Resources by Chapter Section
8.1
O Lesson 8.1 HW Practice
O Lesson 8.1 Extra Practice: Completing Function Tables
O Student Re-teaching Section 8.1
O Re-teaching: Function Tale
O Assessment Book Course 1 Section 8.1
O Self-Check Quick 8.1

19. Additional Resources
O Illustrative Mathematics -
www.illustrativemathematics.com
O Chocolate Bar Sales
O https://www.illustrativemathematics.org/content-
standards/tasks/806
O Khan Academy - www.khanacademy.org
O Inside Mathematics
O Gym Task
O http://www.insidemathematics.org/assets/common-
core-math-tasks/gym.pdf
O Mathematics Assessment Project
O Modeling: Car Skid Marks
O http://map.mathshell.org/lessons.php?collection=8&uni
t=6210#task588

20. Textbook Connection:
Go Math
O Lesson 12.2: Independent and Dependent Variables
in Tables and Graphs
O Classwork Page 344, Problems 1 – 5
O Homework Page 345-346, Problems 6-10
O Lesson 12.3: Writing Equations From Tables
O Classwork Page 350, Problems 1 – 6
O Homework Page 351-352, Problems 7-15
O Lesson 12.4: Representing Algebraic Relationships
in Tables and Graphs
O Classwork Page 356, Problems 1 – 4
O Homework Page 357-358, Problems 5-14

21. Textbook Connection
CPM
O 8.1.2 What is Typical Value?
O Classwork, Pages 382-383
O Homework, Pages 384-388
O 8.1.3 How else can I describe the data ?
O Classwork, Pages 389-392
O Homework, Page 393

22. Need Help?
Contact your
Secondary Math Coordinator