Donna McPartland

SLM 521

Web Dropin #3

Peeking at Patterns

When objects or numbers repeat in a sequential order this is a pattern. The ability to analyze and understand numerical and non-numerical patterns helps in making generalizations and reasonable predictions. Reasoning about patterns is a precursor to understanding algebra.

Part A.

1. What is the pattern in the numerical sequences below? Once you understand the pattern you may use a calculator to work out the numbers.

5, 15, 35, 75, 155, ___. ___, ___,___, ___....

1, 10, 28, 64, 136, ___, ___, ___, ___, ___....

2. Look at the renowned Fibonacci Sequence. Can you analyze the pattern and add the next 5 numbers in the sequence?

1, 2, 3, 5, 8,13, ___, ___, ___, ___, ___....

The Fibonacci pattern is found many times in nature, including the pinecone, raspberry, pineapple, and the sunflower.

Nature is replete with patterns. Check out other Patterns in Nature when you get a chance.

Part B.

More Patterns

Go to Rectangular Pattern Challenges to work with a different type of pattern.

1. Examine the design and analyze how it grows. Look for the patterns.

2. Answer the questions, complete the table, and make predictions for the next stage of growth.

3. Print out the assignment and turn it in.

Ongoing assignment. Due in one week.

4. Use classroom grid paper to work on the design you are asked to complete.

5. When all are collected we will analyze the patterns in our classmates designs.