## Patterns on Charts

Students find, record, and analyze patterns on hundred and multiplication charts. They also use an online calculator to generate patterns and then record the patterns on a chart.

### What’s Next?

3-5

Students begin their study of growing patterns by making linear
patterns with pattern block shapes using several pattern cores. They
extend a partner’s pattern and find the missing element in a pattern.### Growing Patterns

3-5

Students use numbers to make growing patterns. They create, analyze,
and describe growing patterns and then record them. They also analyze a
special growing pattern called Pascal’s triangle.### Exploring Other Number Patterns

3-5

Students analyze numeric patterns, including Fibonacci numbers. They also
describe numeric patterns and then record them in table form.### Looking Back and Moving Forward

3-5

In this final lesson of the Unit, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and explore patterns in a variety of mathematical contexts.### Learning Objectives

Students will:

- Find and record patterns on hundreds and multiplication charts
- Analyze patterns on hundreds and multiplication charts
- Use a calculator to generate patterns

### Common Core State Standards – Mathematics

Grade 3, Algebraic Thinking

- CCSS.Math.Content.3.OA.D.9

Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.

Grade 4, Algebraic Thinking

- CCSS.Math.Content.4.OA.C.5

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule ''Add 3'' and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.