Mathematics, 13.10.2020 17:01 minervica
In the lesson 1.03 Project Development, you looked at several polygons to come up with a pattern for the sum of the angles measures of the polygon as the number of sides increased. This processes is called Inductive Reasoning. Inductive reasoning is the process of observing, finding a pattern, making a conjecture (guess) about that pattern, and then testing that conjecture. We use Inductive Reasoning to learn almost everything we know - from opening a door to how to use a fork. Nobody taught us how to do those things. We simply observe, conjecture, test, and repeat until we figure it out.
In this Project Development, you will refine your conjecture more.
Directions
Use the table you created in lesson 1.03 and the pattern you described to come up with a formula that gives you the sum of the angles measures of a polygon if you know the number of sides. Your formula should have only one variable (the number of sides of the polygon) and should give you the angle measure sum when you put a number in for the variable and do the resulting calculation.
Test your formula
Test your formula for several values using the table you created in lesson 1.03. For example, when you input 5 into your formula, you shoud get 540.
Mark a table
Complete the following table for polygons using the formula you created.
Number of sides 10 12 15 20 100
Sum of Angle Measures 1440o
Search the internet
Search the internet for a formula for the sum of the interior angles of a polygon, and compare your formula to what you find.
Resond to the following questions below. Include both your formula and the formula you found on the internect in your response.
What is the same about the formulas? What is different? Do they both work? If they both work and are different, why can both of them work?
Answers: 3
Mathematics, 21.06.2019 14:40
In the diagram below, tan θ = sqrt 3. what is the value of m?
Answers: 3
Mathematics, 21.06.2019 16:20
An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.
Answers: 2
Mathematics, 21.06.2019 20:00
Find the value of x. round the length to the nearest tenth
Answers: 1
In the lesson 1.03 Project Development, you looked at several polygons to come up with a pattern for...
History, 07.04.2021 18:20
Mathematics, 07.04.2021 18:20
Spanish, 07.04.2021 18:20
English, 07.04.2021 18:20
Mathematics, 07.04.2021 18:20
Mathematics, 07.04.2021 18:20
Mathematics, 07.04.2021 18:20