Pattern Blocks â How Many Can Sit? - Promethean Planet

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Extending the Activity1. Have children repeat the activity using decagons formed by adjoiningtwo hexagons. Ask them to make tables in which the decagons share oneside, share two sides, and share three sides. Have them record theirresults and look for patterns.may continue the patterns, by adding the common difference to find the100th term in each sequence, or they may be able to make a connectionbetween the number of tables used and the number of seats that are created.For example, in studying the chart below, children may notice that the numberof people that can sit at a table made from pentagons is 3 times thenumber of pentagons plus 2. From there, they can figure out how many peoplecan sit at a table made from 100 pentagons simply by applyingthis formula.Number ofNumber of peoplepentagons (tables)who can sit1 52 83 114 145 176 207 23Other children may make predictions based on patterns they see in the actualformation of the Pattern Block “tables.” For example, some children maynotice that when squares are joined in straight lines to make tables, eachsquare in the arrangement provides a seat for two people (one on either sideof the table), with the squares at the end providing two additional seats (atthe heads of the table). These children may realize that they can figure outthe number of seats for any table constructed this way by multiplying 2times the number of squares and adding 2.head1 2 3 4 5 6 7head7 squares(7 x 2) + 2 = 16It is likely that not all children will be able to generalize their findings.However, it is valuable for children to share their insights and strategieswith each other. In doing so, children discover different ways of looking atproblems and interpreting results.© ETA/Cuisenaire ® HOW MANY CAN SIT? ◆ Pattern Blocks ◆ Grades 5-6 61
This hands-on lesson was provided by ETA/Cuisenaire®. Hands-on materials helpstudents learn faster! They help students deepen their understanding of importantmathematical concepts and foster the transition of student understanding from concrete torepresentational to abstract.FAQQ: Where can I find and buy the manipulatives identified in the lesson for my studentsto use?A: Go to www.etacuisenaire.com. Type the name of the manipulative in the Search boxat the top of the ETA Web page.Q: Can I use virtual manipulatives to teach the lesson?A: Yes! We recommend you use ETA/Cuisenaire certified manipulatives available fromPromethean® Planet or from www.etacuisenaire.com. If possible, use the virtualmanipulatives for whole-class instruction and the physical manipulatives for small groupand independent student work.Q: Where can I get more lessons like this one?A: Two great resources for lessons focused on hands-on materials available fromETA/Cuisenaire are The Super Source® books and Hands-On Standards®, DeluxeEdition.Q: What is the difference between lessons in The Super Source books and Hands-OnStandards, Deluxe Edition?A: Hands-On Standards, Deluxe Edition provides scripting and support for the teacherwho is beginning to introduce the use of manipulatives into the math classroom. TheSuper Source provides a wide range of topics and lessons that can be taught with aspecific manipulative.
Page 3: Teacher TalkWhere’s the Mathemati

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Pattern Blocks â How Many Can Sit? - Promethean Planet