Algebra I vs. Geometry. SEED Cross Grade Collabo.

Algebra I vs. Geometry.

SEED Cross Grade Collabo.

January 29, 2021.

Glad you made it!!

Lesson 1

K. Bennaugh

5 SLIDES only.

Get your camera ready.

Pencils and paper are a plus.

Calculators welcome.

We reviewed 3 TYPES of Patterns

1) Arithmetic.

2) Geometric.

3) Recursive.

Arithmetic Patterns/Sequences

• Have common difference between terms.

• Example Sequence: 140, 70, 0, -70, -140

• Common Difference: 70

• Extend the Pattern: .......-210, -280, -350.

Geometric Patterns Sequences

• Terms maintain a common ratio between all terms.

• Example: 6.25, 12.5, 25, 50..............

• In this sequence, each of the terms is 1/2 more than its preceding term.

• You WILL have to mutlipy or divide to complete this type of sequence.

• EXTEND the PATTERN................100, 200, 400

Recursive Sequences

• In a recursive sequence, you may have to complete up to four operations. (+,-,/,x)

• n is used to describe the term number.

• In this sequence: 13.6, 15.1, 16.5....... n_{1 =} 13.6_, n_{2 =} 15.1, n_{3 =} 16.5

• A recursive rule is written as follows:

• a_{(n) =} a _(n-1)+1.5

Practice:

Which sequence is arithmetic(common difference)/ geometric(common ratio)?

• 21, 43, 38, 59.............

• 0,1,2,3,4,5,6.................

• 
  

• 
  

• 
  

Which recursive rule fits the sequence?

• 5,16,49,148....................

• A) a_{(n) =} a_{(n-1) +6.4}

• B) a_{(n-1) = 3a+1} a_(n)

• What would be the next number in the pattern?

Lesson 2

M. Streete

5 SLIDES only.