1. Spotlight on Mathematics Fourth Grade
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Created by: Ashley Magee, Graphics © ThistleGirlDesigns

2. 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

3. Strategies
Place Value Chart: Bundling and Unbundling
Area Model
Tape Diagram
Vertical Number Line

4. 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

5. What does Bundling Look Like?
Used during addition and multiplication of numbers

6. Unbundling
Used during subtraction and division of numbers

7. Sample Problem 1 4,259 - 2,171 2 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 ,

8. Unbundling Problem 2 6, 452 - 3, 297 Let’s show regrouping on the
place value chart.
Thousands
Hundreds
Tens
Ones
6,452
- 3,297

9. 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.

10. What does the Area Model Look Like?

11. Area Model Example

12. Area Model Example Now you try: Draw a model to represent the product.

13. 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.

14. What Does a Tape Diagram Look Like?

15. 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.

16. Tape Diagram Example 3,134 + 2,493 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.

17. 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.

18. Vertical Number Line

19. What Does it Look Like?

20. Vertical Number Line Example
Round 215,711 to the nearest thousand.
How many thousands are in 215,711?
215 thousands
What’s 1 more thousand?
216 thousands
What is halfway between 215,000
and 216,000?
215,500
Where does 215,711 go on the
number line?
216,000
215,711
215,500
215,000

21. Vertical Number Line Example
Round 214,569 the nearest thousand.

22. Website Resources

23. Questions Thank You for Coming to Spotlight on Math