following mathematic equation:
247 + 578= 825
Using this mathematic equation, students can
identify the addend, decompose the two multi-
digit numbers into their hundreds, tens, and ones,
regroup the two numbers using pace value
exchange, and then identifying the position of
place value of each digit.
Guided Practice:
Activity Description/Teacher
Student Actions
The teacher will guide his students through a
whole group discussion on multi-digit addition
using the gradual release of responsibility
model and place-value mat manipulative
strategies.
The following problems will be modeled using
the ELMO:
236 + 432
674 + 234
The students will participate in the teacher’s
whole-group discussion in correlation with multi-
digit addition and the place-value manipulative
strategy. Students will answer questions such as:
“How do we decompose 236 + 432 into its
hundreds, tens, and ones?”
“How do we know where to place each base-ten
block?”
“How do we know what number to wrote under

657 + 256
432 + 456
This teacher will explain his thinking a model
how to solve each problem using the base-ten
blocks and place value mat.
Example on modeling 236 + 432
First, let’s identify how many ones, tens, and
hundreds each number is composed of. Then,
let’s decompose each number into its
hundreds, tens, and ones. Teacher will grab 2
hundreds blocks, 3 sticks of ten, and 6 ones
for 236. Next, the teacher will grab 4
hundreds blocks, 3 sticks of tens, and 2 ones
for 432.
Then, the teacher will put the hundreds
blocks, sticks of tens, and ones altogether on
the place value mat chart into their correct
place.
Now that we all have placed our base ten
blocks in the correct spots, let’s add our
hundreds first, tens second, and ones last.
Explain to students that 4 hundreds blocks
add 2 hundreds blocks equals 6 hundreds
blocks. Do the same concept for tens and
ones. Then explain to students that we can
write the numeral down for each place value
in order to find our sum of the two multi-digit
numbers that were added on the place value
mat.
So, 236 + 432 = 668
each place value on the place value mat?”
Students will see problems modeled for them and
the correct way to solve them using the place
value mat chart manipulative strategy.
The teacher will use the gradual release of
responsibility model to gradually release students
to independent work.
Independent Student Practice:
Activity Description/Teacher
Student Actions
Prepare for exit ticket:
Students will complete the exit ticket to
demonstrate their understanding of how to use

The teacher will ask students to return back to
their desk so they will be able to complete
their exit ticket with 5 problems.

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- Fall '16
- Addition, Subtraction, Numerical digit, Decimal, Numeral system