# Don t Fence Me In by NewJersey

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```									                   Middle Grades Summer Math Institute 2005

Lesson Plan: Don’t fence me in!!!
Strand: ALGEBRA
Author(s): P. Jacobs, L. Smolinski, H. Williams

District: Lakewood

Essential Understandings
 Variable Representation
 Equivalence

Essential Questions                              Knowledge & Skills
 .                                              Analyze Functional Relationships to explain
Can I write an EQUATION to find the width?       how a change in one quantity can result in
Solve the problem.                               another using patterns, graphs, charts and
Explain how to solve the problem by creating a   equations.
diagram with labels.

Assessment Evidence
   Write an equation to demonstrate your understanding of the word problem.
   Solve the equation.
   Draw and label a diagram.


Learning Activities
Worksheet

Background Notes
BIG IDEAS are the variable representation using symbols to set up an equation and to
demonstrate the equivalence of measurement.
Middle Grades Summer Math Institute 2005

Lesson Plan: Do the Salsa
Strand: Data Analysis
Author(s): P. Jacobs, L. Smolinski, H. Williams

District: Lakewood

Essential Understandings
 Relationship between two variables
 Patterns
 Proportionality/rate of change

Essential Questions                                 Knowledge & Skills
 Given certain sizes and prices, can I              Generate and collect data – 4.4.6A
determine the price of a different size jar.       Plot points and determine lines and use
them to interpolate within the range of the
data-4.4.8A

Assessment Evidence
   Collecting, organizing, displaying and describing data.
   Interpreting data- written and oral.
   Recognizing relationships or patterns in data.
   Making inferences based on recognized patterns.

Learning Activities
Discussion about the relationship between size of salsa jars and price.
Unit price discussion
Create graph

Background Notes
BIG IDEAS are the relationships between two variables or factors (the size of the jar and the
price), and the existence of any pattern between the two variables that may be linear or non-
linear, determining the cost of a 16 ounce bottle.
Middle Grades Summer Math Institute 2005

Strand: Rational Numbers
Author(s): P. Jacobs, L. Smolinski, H. Williams

District: Lakewood

Essential Understandings
 Every fraction can be represented by an infinite number of different but equivalent forms.
 A percent is another way to write a decimal/fraction that compares parts to a whole where the
whole is 100.
 Percent is relative to the size of the whole.

Essential Questions                              Knowledge & Skills
   What sizes (fractions) can be used to         Student will understand and use fractions/
maximize the use of a page?                   percents in a variety of situations to solve
   What cost should be assigned? How is cost     problems
justified?
   How can comparisons be made to                Students will recognize fractions as a part of a
determine if the assigned costs are fair      whole and division of whole numbers
marketwise?
   What percentage of the total yearbook         Students will use comparisons to help
pages will be allowed for ads? What could     determine calculations (pricing of ad sizes)
be the driving determination?

Assessment Evidence
 Student will be able to create a layout design for an ad page varying the fractions, assign
justifiable amounts to charge accordingly and be able to explain.
 Student will be able to show more than one model layout design page with prices when

Learning Activities
Students with prior knowledge of fractions/percents will be required to design a layout for a
yearbook advertisement page, showing the usage of fractions. They will also be responsible for
determining the monetary value that should be placed on each fractional part used. To assure
total class participation in this activity, formatted layout design pages* will be available for
those students who may still have difficulty with understanding the usage of fractions (*See
attached)

Background Notes
Students must be given certain information about the cost and size (number or pages) of the
yearbook prior to starting this assignment. Consideration must be given to determining the
number of pages that should be allowed for ads and for the expected monetary gain from the ad
pages.
Middle Grades Summer Math Institute 2005
Middle Grades Summer Math Institute 2005
Middle Grades Summer Math Institute 2005
Middle Grades Summer Math Institute 2005
Middle Grades Summer Math Institute 2005
Middle Grades Summer Math Institute 2005

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