1.1 Patterns and Expressions • Look at the figures from left to right. What is the pattern? What would the next figure in the pattern look like? • The pattern shows regular polygons with the number of sides increasing by one. • The last figure shown above has six sides, so the next figure would have seven sides. • The next figure in the pattern is a heptagon.
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1.1 Patterns and Expressions• Look at the figures from left to right. What is the
pattern? What would the next figure in the pattern look like?
• The pattern shows regular polygons with the number of sides increasing by one.
• The last figure shown above has six sides, so the next figure would have seven sides.
• The next figure in the pattern is a heptagon.
Variables and Expressions• A mathematical quantity is anything that can be
measured or counted.
• Quantities whose values do not change are called constants.
• Quantities whose values change or vary are called variable quantities.
Expressing a Pattern with Algebra• How many toothpicks are in the 20th figure? What is an
expression that describes the number of toothpicks in the nth figure?
• Pattern: Multiply the figure number by 4 to get the number of toothpicks.
• So, 20(4) = 80. There are 80 toothpicks in the 20th figure.
• Therefore, there are 4n toothpicks in the nth figure.
More Practice!!!!!
• Homework – Textbook p. 7 – 8 #8 – 24.
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