Spotlight on Mathematics Fourth Grade Created by: Ashley Magee, Graphics © ThistleGirlDesigns.
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Transcript of Spotlight on Mathematics Fourth Grade Created by: Ashley Magee, Graphics © ThistleGirlDesigns.
Spotlight on MathematicsFourth 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
• Let’s show regrouping on the place value chart. Cross out the hundreds and tens to rename them in the equation
Sample Problem 1
2
X X
,
4,259- 2,171
• Let’s show regrouping on the place value chart.
Unbundling Problem 2
6, 452- 3, 297
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.
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.
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.
Round 215,711 to the nearest thousand. How many thousands are in 215,711?215 thousandsWhat’s 1 more thousand?216 thousandsWhat is halfway between 215,000 and 216,000?215,500Where does 215,711 go on the number line?
Vertical Number Line Example
215,000
216,000
215,711
215,500