UNIT 2
ADDING BIGGER NUMBERS
BY USING THE
ALGORITHM
Learning Goal
By the end of the unit . . .
Students will be able to
apply place value
understanding to
represent multi-digit
numbers in many ways.
4.NBT.1, 4.NBT.2, 4.NBT.3, & 4.NBT.4
Learning Scale
I rate my learning as a ___ because
4
3
2
1
In addition to a 3,
I can relate my
understanding of
place value to
numbers beyond
one million.
I CAN apply my
understanding of
place value to
represent multi-digit
numbers in ALL of
these ways:
• Expanded &
word form
• Rounding
• Comparing using
<, =, >
• Adding &
Subtracting
I CAN show my
understanding of
place value to
represent multi-digit
numbers in some
ways like reading
and writing numbers
up to one million
accurately.
Even with help, I
have a limited
understanding of
place value and how
it can be used to
represent multi-digit
numbers.
4.NBT.1, 4.NBT.2, 4.NBT.3, & 4.NBT.4
SPRINT
APPLICATION PROBLEM
Meredith kept track of the calories she consumed for 3 weeks. The first week,
she consumed 12,490 calories, the second week 14,295 calories, and the third week
11,116 calories. About how many calories did Meredith consume altogether?
Which of these estimates will produce a more accurate answer: rounding to
the nearest thousand or rounding to the nearest ten thousand? Explain.
CONCEPT DEVELOPMENT
We will be adding by using an algorithm.
Watch video
CONCEPT DEVELOPMENT
We will be adding by using the algorithm
Example 1:
3,134 + 2,493
Draw a tape diagram to represent this problem
What are the two parts that make up the whole?
a
The unknown in this case is the whole.
(When a letter represents an unknown
number, we call that letter a variable)
3, 134
2,493
CONCEPT DEVELOPMENT
We will be adding by using the algorithm.
Example 1:
3,134 + 2,493
Now, let’s add using the algorithm.
a
3, 134
2,493
CONCEPT DEVELOPMENT
We will be adding by using the algorithm.
Example 2: 40,762 + 30,473
Draw a tape diagram to represent this problem.
What are the two parts that make up the whole?
b
40,762
30,473
CONCEPT DEVELOPMENT
We will be adding by using the algorithm.
Example 2: 40,762 + 30,473
PROBLEM SET
We will be adding by using the algorithm. Draw a tape diagram to help you set up the problem.
1. Ian worked really hard in his
neighborhood by doing chores for his
neighbors. He saved up enough money to
buy a new TV. He saved $243.50 in the
first 6 months. Over the next 6 months he
saved another $368.03. How much money
did Ian save altogether?
2. On Sunday, 77,098 fans attended a
New York Jets game. The same day,
3,397 more fans attended a New York
Giants game than attended the Jets game.
Altogether, how many fans attended both
games?
3. In 2011, the population of Chandler, AZ.
was 239,801. The population increased
by 6,854 the following year. What was the
population of Chandler in 2012?
4. Raffle tickets were sold for a school
fundraiser to parents, teachers, and
students. 563 tickets were sold to
teachers. 888 more tickets were sold to
students than to teachers. 904 tickets were
sold to parents. Exactly how many tickets
were sold to parents, teachers, and
students?
PROBLEM SET
ADDITION SOLUTIONS using the algorithm.
1. $243.50 + $368.03=
2. 77,098 + 3,397 + 77,098= A
(3,397)
77,098
Ian saved $611.53 doing chores in his
neighborhood.
Giants
A
77,098
Jets
157,593 fans attended both games
3. 239,801 + 6,854=
4.
563 teachers
563+888 students
904 parents
The population in Chandler in 2012 was
246,655 people.
2,918 tickets were sold to parents,
teachers, and students
HOMEWORK