Download Bundling - Mandeville Middle School

Spotlight on Mathematics
Fourth Grade
Created by: Ashley Magee, www.firstgradebrain.com Graphics © ThistleGirlDesigns
What Does a Daily Math Class Look
Like?
•
•
•
•
Math 4 Today
Math Calendar
Fluency Sprints
Lesson of the Day- Guided, Group, and
Independent Practice
• Homework
Strategies
• Place Value Chart: Bundling and
Unbundling
• Area Model
• Tape Diagram
• Vertical Number Line
Bundling and Unbundling
• Bundling: Putting smaller units together to
make a larger one, e.g. putting 10 tens
together to make a hundred
• Regrouping: Renaming, (instead of “carrying”
or “borrowing,”) e.g., a group of 10 ones is
“renamed” a ten when the ones are bundled
and moved from the ones to the tens place
What does Bundling Look Like?
Used during addition and multiplication of numbers
Unbundling
Used during subtraction and division of numbers
Sample Problem 1
• Let’s show regrouping on the
place value chart. Cross out the
hundreds and tens to rename
them in the equation
4,259
- 2,171
X X
2,
Unbundling Problem 2
6, 452
- 3, 297
• Let’s show regrouping on the
place value chart.
Thousands
Hundreds
Tens
Ones
6,452
- 3,297
Area Model
• An array or area model is an arrangement of a set
of objects organized into equal groups in rows
and columns.
• Arrays or area models help make counting easy in
the lower grades. Counting by equal groups is
more efficient than counting objects one by one.
• Later, children use arrays and area models to
learn about multiplication and area.
What does the Area Model Look Like?
Area Model Example
Area Model Example
• Now you try:
• Draw a model to represent the product.
21 X 25
Tape Diagram
• The tape diagram is used to help students
visualize the numbers in their word problems.
• In the upper grades, tape diagrams are used
to help students learn fractions and to prepare
for algebra.
What Does a Tape Diagram Look Like?
Tape Diagram Example
• 3,134 Let’s read the problem.
+ 2,493
• Three thousand, one hundred thirty-four plus two thousand,
four hundred ninety-three
• Draw a tape diagram or bar model to represent this problem.
• What are the two parts that make up the whole?
• Our tape diagram or bar model looks like this.
•
3,134
+ 2,493
Tape Diagram Example
• What is the unknown?
• In this case, the unknown is the whole
• We will show the whole above the tape diagram using a bracket
and label the unknown quantity with the variable of a.
Tape Diagram Example
•Directions: Draw a tape diagram to model the
following problems. Use numbers and words to
explain your work.
•A baseball stadium sold some burgers: 2,806 were
cheeseburgers and 1,679 burgers didn’t have cheese.
How many burgers did they sell in all? Use a tape
diagram to show your work.
Vertical Number Line
What Does it Look Like?
Vertical Number Line Example
Round 215,711 to the nearest thousand.
How many thousands are in 215,711?
215 thousands
216,000
What’s 1 more thousand?
215,711
216 thousands
What is halfway between 215,000 215,500
and 216,000?
215,500
215,000
Where does 215,711 go on the
number line?
Vertical Number Line Example
• Round 214,569 the nearest thousand.
Website Resources
Questions
Thank You for Coming to Spotlight on Math