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Understanding Geometric Sequences and Probability Concepts

This lesson focuses on recognizing patterns in geometric sequences and the basics of probability. Students will learn how to identify specific terms in sequences, such as finding the 11th shape or the 17th balloon in a color sequence. The concept of probability will be introduced, illustrating certainty with examples like lollipop selections. Additionally, the properties and names of various shapes, including triangles, quadrilaterals, and hexagons, will be reviewed, enhancing geometry skills through sequence identification.

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Understanding Geometric Sequences and Probability Concepts

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  1. 6.21 Patterns

  2. Directions for geometric sequences • 1. Starting at the beginning object, count until you come to the requested position (term) • Ex- • What is the 11th shape?

  3. Ex 2 • If I order a bunch of balloons as red, blue, green, yellow, and orange, what color is the 17th balloon? • red blue green yellow orange • BLUE

  4. Quick review on probability • If it is CERTAIN that an event will happen, we say the probability is 1. • Ex- If there are 20 yellow lollipops in a bag, the probability of choosing a yellow lollipop is 20/20, in otherwords, 1.

  5. Powers of ten • If beep means 10, and beepbeepbeep means 1,000, what does beepbeepbeepbeepbeepbeep mean?

  6. Names of shapes • Triangle- 3 sided tri=3 • Quadrilateral- 4 sided quad=4 • Pentagon- 5 sided pent=5 • Hexagon-6 sided hex=6 • Triangle,_____, pentagon, hexagon • Which shape in the sequence is missing?

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