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3-A-1-3

Page history last edited by Tashe Harris 6 years, 2 months ago

3.A.1.3 Explore and develop visual representations of growing geometric patterns and construct the next steps.

In a Nutshell

In third grade, students are extending patterns at a deeper level. Students are used to just finding the next number or shape in the pattern; however, in third grade, the students will need to find the next step by growing the pattern. The students will be presented with multiple opportunities to explore and develop a variety of geometric patterns in order to construct the next step of the pattern.

Student Actions	Teacher Actions
Demonstrate mathematical reasoning when using manipulatives, such as counters, cubes, etc., to explore geometric patterns. Develop strategies for problem-solving as they explore patterns in order to continue its sequence. Example: Students will notice that the amount/placement of yellow counters is staying the same, but that the red counters are growing at the same rate on each side of the yellow counter. They can then predict what sequence will follow. Make conjectures when finding the pattern’s rule and use the rule to justify the next step to peers.	Pose purposeful questions to help students recall prior knowledge and justify their thinking. Questions may include: What do you notice about this pattern? What tools can we use to help us find our solution? What conclusions can we make about this pattern? Implement tasks that challenge student thinking and allows them freedom to explore patterns. Facilitate mathematical discussion when students make generalizations for a given pattern.
Key Understandings	Misconceptions
Not all patterns repeat, such as the growing geometric patterns. Patterns can become bigger by growing in size each time, or become smaller as the pattern continues. Patterns can contain pictures, objects, structures, etc. Patterns are used to show the relationship between whatever the pattern contains, for example, numbers.	All patterns are repeating patterns. Patterns only get larger, never shrinking. Patterns only include pictures and objects.