This document contains notes and examples for a math lesson on using if-then statements to solve equations. It includes: - The aim of using if-then moves in solving equations. - Two example word problems that are translated into tape diagrams and equations, then solved using if-then logic. - Discussion questions about how the tape diagrams relate to the initial equations and how to create equations from word problems.

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AIM:
Using If-Then moves in Solving
Equations
1/8/15Module 3, Lesson 8
HW: Lesson 8 Problem Set
#6, 7, 11
Do Now:
Exit Ticket For Lesson 7 #1
Exam 4 Thursday 1/15

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Julia, Keller and Israel are volunteer firefighters. On Saturday the volunteer fire
department held its annual coin drop fundraiser at a streetlight. After one hour,
Keller had collected $42.50 more than Julia, and Israel had collected $15 less than
Keller. Altogether, the three firefighters collected $125.95. How much did each
person collect?
Find the solution using a tape diagram.
What were the operations we used to get our answer?
Julia
Keller
Israel
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The amount of money Julia collected is j dollars. Write an expression to represent the amount
of money Keller collected in dollars.
Using the expressions for Julia and Keller, write an expression to represent the amount of
money Israel collected in dollars.
Using the expression written above, write an equation in terms of j that can be used to
find the amount each person collected.
Solve the equation written above to determine the amount of money each person
collected and describe any if-then move used.
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Discussion:
How does the tape diagram translate into
the initial equation?

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Example 2
You are designing a rectangular pet pen for you new baby puppy. You have 30 feet of fence
barrier. On a whim, you decide that you would like the length to be feet longer than the
width.
Draw and label a diagram to represent the pet pen. Write an expression to represent the width
and length of the pet pen.
Find the dimensions of the pet pen.
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Closing:
How do you create an equation from a
word problem?

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