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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 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 ,

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.

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.

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.

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 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

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

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