Warm-up with 2.2 Finding the nth Term

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Presentation transcript:

Warm-up with 2.2 Finding the nth Term 1. Points are ____________ if they lie on the same line. 2. A triangle with two congruent sides is __________ . 3. A polygon with 12 sides is called a(n)____________. 4. A trapezoid has exactly one pair of ___________ sides. 5. The geometry tool used to measure the size of an angle in degrees is called a(n) __________ . 6. A(n) ____________of a circle connects its center to a point on the circle. 7. A segment connecting any two non-adjacent vertices in a polygon is called a(n) ___________ . 8. A(n)________polygon is both equiangular and equilateral.

Student of the day! Block 4

Student of the day! Block 5

Student of the day! Block 6

Review of 2.1 before 2.2 Lesson 2.1 pg 99, 100 # 2- 18 Problems 3 – 10, you have to come up with the next two terms in the sequence using inductive reasoning 3) 1, 10, 100, 1000, ______, ______ 5) 7, 3, -1, -5, -9, _____ , ______

2.2 Finding the nth Term Example 1: 20, 27, 34, 41, ____, ____ Rule: Example 2 with table Function notation : f(n) = n – 5 Substitute in n = 6 f(6) = n – 5 Term: n 1 2 3 4 5 Function rule: n - 5 n 1 2 3 4 5 6 7 -2n + 5

Coming up with the Function Rule 20, 27, 34, 41, ____, ____ Step 1: n = 1 and we see it goes up by 7 Step 2: 7(1) = 20? Step 3: Write what is missing into the rule 7 n + ? = 20 Term # : n 1 2 3 4 5 Function rule: 20 27 34 41

Find the function rule for the following

Other Patterns that may not linear

Determine if the following are linear Determine if the following are linear. If they are linear, write the function rule.

2.2 pg pg 105 and 106 # 1 – 6 all problems copy all the tables. H.W. Assignments 2.1 pg 99 # 2-18 2.2 pg pg 105 and 106 # 1 – 6 all problems copy all the tables. #2 of pg 99 Sean draws these geometric figures on paper. His sister Courtney measures each angle with a protractor. They add the measures of each pair of angles to form a conjecture. Write their conjecture