Geometry 2-1 Complete Lesson: Patterns and Inductive Reasoning
By Matt Richardson
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Last updated about 3 years ago
27 Questions
10 points
10
Question 1
1.
Solve It! How many rectangles would you get if you folded a piece of paper in half eight times?
Enter only a number.
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Question 3
3.
Take Note: Define inductive reasoning.
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Question 4
4.
Problem 1 Got It?
What are the next two terms in the sequence?
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Question 5
5.
Problem 1 Got It? What are the next two terms in the sequence? Draw them on the canvas. You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
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Question 6
6.
Take Note: Define conjecture.
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Question 7
7.
Problem 2 Got It?
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Question 8
8.
Take Note: Describe why it is important to collect an adequate amount of data before you make a conjecture.
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Question 9
9.
Problem 3 Got It?
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Question 10
10.
Problem 4 Got It? What conjecture can you make about backpack sales in June?
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Question 11
11.
Problem 4 Got It? Reasoning: Is it reasonable to use this graph to make a conjecture about sales in August? Explain.
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Question 12
12.
Take Note: Define counterexample.
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Question 13
13.
Take Note: Provide an example of a false conjecture and a counterexample that proves the conjecture false.
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Question 14
14.
Problem 5 Got It? What is a counterexample for the conjecture?
If a flower is red, it is a rose.
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Question 15
15.
Problem 5 Got It? Draw a counterexample for the conjecture on the canvas.
One and only one plane exists through any three points.
You may also complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
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Question 16
16.
Problem 5 Got It? What is a counterexample for the conjecture?
When you multiply a number by 3, the product is divisible by 6.
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Question 17
17.
Predict: What are the next two terms in the sequence?
Enter your numbers in this format: 38, 96
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Question 18
18.
Predict: What are the next two terms in the sequence shown in the image below?
Color in the blank squares to represent the next two terms. Your coloring does not need to be neat or completely fill the squares.
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Question 19
19.
Reasoning: What is a counterexample for the following conjecture?
All four-sided figures are squares.
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Question 21
21.
Compare and Contrast: Clay thinks the next term in the sequence 2, 4, ... is 6. Given the same pattern, Bob thinks the next term is 8, and Stacie thinks the next term is 7. What conjecture is each person making? Is there enough information to decide who is correct?
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Question 22
22.
Review Lesson 1-8: What is the area of a circle with radius 4 in.? Leave your answer in terms of π.
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Question 23
23.
Review Lesson 1-3: Solve for x if B is the midpoint of \overline{AC}.Enter only a number.
2 points
2
Question 24
24.
Review Lesson 2-1: Is the conjecture true or false?
The sum of two even numbers is even.
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Question 25
25.
Review Lesson 2-1: Is the conjecture true or false?
The sum of three odd numbers is even.
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Question 26
26.
Use Your Vocabulary: Complete each sentence on the right with the appropriate form of the word reason.
reason (NOUN)
reasoned (VERB)
reasonable (ADJECTIVE)
reasonably (ADVERB)
In a logical argument, you state each __?__.
The student did a __?__ job on the last math test.
The workers cleaned up __?__ well after the party.
