Unit 1: Lesson 3 Circles & Square

​Objectives

• Explain the challenges of creating a clea set of rules for ordering patterns

• Follow a set of rules for wondering sets of patterns​

Subject | Subject

Some text here about the topic of discussion

Generating Patterns

With a partner, work out how many different pieces of information (made up of only circles and squares) you can represent with three place values in the next five minutes. Work separately first then when time is called, share with your partner.

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For example: circle-circle-circle or circle-square-circle can represent two pieces of information

The teacher has set the timer for five minutes you should be working

​How many did you get?

It should be at least 8 possible answers, what is your 7th pattern?

​Challenge 1: Patterns

Record all of the possible three place value patterns that use only the circle and square shapes. A few are listed in the diagram to the right. Try to make sure these patterns are in some type of order and avoid putting down patterns randomly.

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Challenge 2: Describe Your Rules

Reflect on how you put the patterns above in order from one line to the next. Are there any clear rules to follow? If you didn’t use any clear rules, re-do Challenge 1 with some rules in mind. Describe the rules for how you listed your patterns above. Your rules should clearly describe how to create the exact same list of patterns.

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Challenge 3: More Patterns

Use your rules from the last page to try and generate all possible four place value patterns using only circles and squares. Three examples are listed to the right. You may need to add new rules or slightly change your rules to account for all four place value patterns, but try to keep them as similar as possible.