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Number and Operations

Hopping on the Number Line

3-5
In this lesson, students generate products using the number line model. This model highlights the measurement aspect of multiplication and is a distinctly different representation of the operation. The order (commutative) property of multiplication is also introduced. Students are encouraged to predict products and to answer puzzles involving multiplication.
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Number and Operations

Exploring Equal Sets

3-5
This lesson builds on the previous lesson and encourages students to explore another model for multiplication, the familiar set model. Students find products using equal sets and present results in the form of a table. The students apply their knowledge about multiplication in the creation of pictographs.
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Number and Operations

Modeling Multiplication With Streets and Avenues

3-5
This lesson encourages students to explore the array model of multiplication, a model that lays an important foundation for the later study of area. The lesson focuses on the factors 4 and 6. Students will also explore products with 0 or 1 as a factors. First students make arrays with counters, and then they create a second concrete example of the array model using toothpicks. They also write problems which involve multiplication.
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Number and Operations

Balance Beam Discoveries

3-5
This lesson encourages students to explore another model of multiplication, the balance beam, and another relationship, the inverse of multiplication. This exploration leads naturally into representing multiplication facts in equation form. In addition to extending their understandings of the concept of multiplication, students begin to practice the multiplication facts by playing the Product Game.
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Number and Operations

Looking for Patterns

3-5
Students skip count and examine multiplication patterns. They also explore the commutative property of multiplication.
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Number and Operations

Looking for Calculator Patterns

3-5
Students use a web-based calculator to create and compare counting patterns using the constant function feature of the calculator. Making connections between multiple representations of counting patterns reinforces students understanding of this important idea and helps them recall these patterns as multiplication facts.
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Number and Operations

More Patterns with Products

3-5
After using an interactive Web site to find patterns in the multiplication tables, the students practice multiplication facts and record their current level of mastery of the multiplication facts on their personal multiplication chart.
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Number and Operations

Keeping It All Together

3-5
By playing card games and using the The Product Game applet, students practice the multiplication facts. As students continue to master their facts, the teacher closely monitors their progress.
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Data Analysis and Probability

What Counties Are Your Favorite?

3-5
Students use their knowledge from the previous lesson to gather data on ten of their favorite counties (places they might like to live, visit, etc.) within a specific state. Students will hone their place value skills by representing numbers in various ways including standard, written, and expanded form.
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Number and Operations

Eggsactly with a Dozen Eggs

3-5
Students begin to examine fractions as part of a set. This lesson helps students develop skill in problem solving and reasoning as they examine relationships among the fractions used to describe part of a set of 12.