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Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
1
April 01, 2015
Nov 17­2:28 PM
Problem Set Lesson 18  Answers
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
2
April 01, 2015
Aug 26­5:45 PM
 
MODULE 4 Expressions and Equations
Topic F:Writing and Evaluating
Expressions and Formulas
Lesson 19:  Substituting to Evaluate Addition and 
Subtraction Expressions
Student Outcomes
§ Students develop expressions involving addition and subtraction from real‐world problems.
§ Students evaluate these expressions for given values.
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
3
April 01, 2015
Nov 17­2:29 PM
Classwork Opening Exercise
My older sister is exactly two years older than I am.  Sharing a birthday is both fun and 
annoying.  Every year on our birthday we have a party, which is fun, but she always brags that 
she is two years older than I am, which is annoying.  Shown below is a table of our ages, 
starting when I was born:
1. Looking at the table, what patterns do you see?  Tell a partner.
2. On the day I turned 8 years old, how old was my sister?
3. How do you know?
4. On the day I turned 16 years old, how old was my sister?
5. How do you know?
6. Do we need to extend the table to calculate these answers?
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
4
April 01, 2015
Nov 17­2:29 PM
a. What if you don’t know how old I am?  Let’s use a variable for my age.  Let Y =  my 
age in years.  Can you develop an expression to describe how old my sister is?
b. Please add that to the last row of the table.
Example 1
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
5
April 01, 2015
Nov 17­2:28 PM
Example 2
a. How old was I when my sister was 6 years old?
b. How old was I when my sister was 15 years old?
c. How do you know?
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
6
April 01, 2015
Apr 6­8:33 PM
d. Look at the table in Example 2.  If you know my sister’s age, 
can you determine my age?
e. If we use the variable G for my sister’s age in years, what 
expression would describe my age in years?
f. Fill in the last row of the table with the expressions.  
g. With a partner, calculate how old I was when my sister was 22, 23, and 24 years 
old.
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
7
April 01, 2015
Apr 6­8:35 PM
Exercises
1. Noah and Carter are collecting box tops for their school.  They each bring in 1 per 
day starting on the first day of school.  However, Carter had a head start because his 
aunt sent him 15 box tops before school began.  Noah’s grandma saved  10 box tops, 
and Noah added those on his first day.
a. Fill in the missing values that indicate the total number of box tops each boy 
brought to school.
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
8
April 01, 2015
Apr 6­8:35 PM
a. If we let D be the number of days since the 
new school year began, on day D of school, how 
many box tops will Noah have brought to school?
b. On day D of school, how many box tops will Carter have brought to school?
c. On day 10 of school, how many box tops will Noah have brought to school?
d. On day 10 of school, how many box tops will Carter have brought to school?
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
9
April 01, 2015
Apr 6­8:35 PM
2. Each week the Primary School recycles 200 pounds of paper.  The Intermediate 
School also recycles the same amount but had another 300 pounds left over from 
summer school.  The Intermediate School custodian added this extra 300 pounds to 
the first recycle week.
a. Number the weeks and record the amount of paper recycled by both schools.
b. If this trend continues, what will be the total amount collected for each school on 
Week 10?
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
10
April 01, 2015
Apr 6­8:46 PM
3. Shelly and Kristen share a birthday, but Shelly is 5 years older.
a. Make a table showing their ages every year, beginning when Kristen was born.
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
11
April 01, 2015
Apr 6­8:47 PM
b.  If Kristen is 16 years old, how old is Shelly?
c.  If Kristen is K years old, how old is Shelly?
d.  If Shelly is S years old, how old is Kristen?
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
12
April 01, 2015
Aug 26­8:21 PM
Closing
Please take out your exit ticket for Lesson 19, close your
binder, and complete the exit ticket. This will be collected.
§ Why were we able to write these expressions?
ú There was a relationship between the two quantities that we could identify.
§ What is important to remember about labeling columns in a table?
ú The label should be complete, with units, so the reader understands precisely what is meant.
§ How are addition and subtraction expression related to one another?
ú They are inverse operations.  One undoes the other.  
Continue for Sprints!!!!
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
13
April 01, 2015
Mar 3­6:04 PM
Sprints Round 1 ­ Page 1
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
14
April 01, 2015
Apr 6­8:51 PM
Sprints Round 1 ­ Page 2
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
15
April 01, 2015
Apr 6­8:51 PM
Sprints Round 2 ­ Page 1
Module 4 Lesson 19  Substituting to Evaluate Addition and Subtraction Expressions.notebook
16
April 01, 2015
Apr 6­8:52 PM
Sprints Round 2 ­ Page 2

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