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Data Analysis and Probability

Every Breath You Take

3-5
In the following open-ended exploration, students estimate, experiment, and display real-life data. Students use the number of breaths taken during a specified time period as the context for this exploration.
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Measurement

Parking at the Mall

3-5
Students participate in an activity in which they develop number sense in and around the shopping mall. They develop their skills in determining percents and estimating area.
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Geometry

Parts of a Square

3-5
Students investigate the ways shapes can be divided into equal pieces with one or two cuts. The lesson provides a review of the following vocabulary terms: square, triangle, and rectangle; congruent, one-half, and one-fourth. The other lessons in this unit build on this introductory lesson.
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Geometry

Describing Designs

3-5
Students create designs and describe them to a classmate, using fractional and geometric terms. This lesson provides a context for using the following vocabulary terms: horizontal, vertical, square, rectangle, triangle, diagonal, one-half, and one-fourth.
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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.