Embedded Files
Learning Targets:
Learning Targets:
You will be able to identify and continue patterns.
You will be able to use inductive reasoning to make conjectures.
Standards Addressed:
G-CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Vocabulary:
Vocabulary:
inductive reasoning: a type of reasoning that reaches conclusions based on a pattern of specific examples or past events
conjecture: a conclusion reached by using inductive reasoning
counterexample: a counterexample to a statement is a particular example or instance of the statement that makes the statement false
Warm-Up:
Warm-Up:
Check the skills you'll need:
Here is a list of the counting numbers: 1,2,3,4,5,...
1. Make a list of the positive even numbers.
2. Make a list of the positive odd numbers.
3. Copy and extend the list to show the first 10 perfect squares.
4. Which do you think describes the square of any odd number?
It is even. It is odd.
Notes Together:
Notes Together:
Complete the practice below to check your understanding!
Practice 1-1.pdfCool Down:
Cool Down:
The sum of the numbers from 1 to 10 is 55. The sum of the numbers from 11 to 20 is 155. The sum of the numbers from 21 to 30 is 255. Based on this pattern, what is the sum of numbers from 91 to 100?
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