NYS COMMON CORE MATHEMATICS CURRICULUM Family Math Newsletter Gr. 3 Grade 3 • Module 1 • Topic E Family Math Newsletter Hey There Matey! Some ports are so cool to explore that you just have to go back and visit them again, and that’s just what we’re going to do in Topic E. We are going to revisit the commutative and distributive properties of multiplication, as well as continue on with our skip-counting. We will also continue to practice using array models and tape diagrams to model multiplication and division, all while learning our 4 facts. Multiplication and Division: Units of 4 In Topic E, students will be shifting from simply understanding the relationship between multiplication and division, to analyzing it. Students will be modeling the relationships between multiplying and dividing by units of 4 using skip-counting, the distributive property, arrays, number bonds, and tape diagrams. Students will also explore multiplication’s commutative property once again as well. Array Key Ideas Skip-count objects in models to build fluency with multiplication facts using units of 4. Model the commutative property of multiplication using arrays and tape diagrams Use the distributive property as a strategy to find related multiplication facts. Model the relationship between multiplication and division. For more information about Third Grade in New York State, please visit https://www.engageny.org/resource/g rade-3-mathematics Number Bond How to Help at Home Make arrays using quarters by putting 4 quarters in each group and having your child skip count the number of quarters in the array. Brainstorm a list of famous fours: The Beatles, Presidents on Mt. Rushmore, The Fantastic Four, Scooby’s Pals (Fred, Daphne, Shaggy, Velma), Wizard of Oz (Dorothy, Cowardly Lion, Scarecrow, Tin Man), etc. and skip count the total number of famous finds. Play hopscotch! There are no rules to say you can only hop and count by ones! Module 1: Date: © 2014 Common Core, Inc. Some rights reserved. commoncore.org Words and Key Terms Array Commutative Property Distributive Property Number Bonds Parentheses () Tape diagram Family Math Newsletter Topics A–D 8/12/15 1 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Family Math Newsletter Gr. 3 NYS COMMON CORE MATHEMATICS CURRICULUM Spotlight on Math Models Models can help us demonstrate mathematical properties quickly and easily. Just take a look at these two representations of the commutative property that students will be seeing in this topic: the first uses an array and the second a tape diagram. Fabulously Fluent in Fours Topic E explores multiplying and dividing with units of 4. Besides the suggestions listed in “How to Help at Home,” try this investigation to extend your child’s learning. Ask your child to skip count by 4 and list their answers on a sheet of paper. Then, ask your child to flip their paper over and skip count by twos writing each of those numbers down on the paper as well. Next, ask your child to multiply each of their skip counting numbers by two, by two. Together, see if your child’s 4-skip counting (front side) matches their 2-skip counting after they multiplied it by 2 (back). Discuss with them why this happened. 5 + n Strategy Children begin counting and learning that there is a 1:1 correspondence between the objects they point to and the numbers they say. Eventually, children develop the skill of “counting on.” For example, when taking their turn in a board game, they no longer have to count each dot on the dice, but recognize that one die has, let’s say, 4 dots on it and so they start with 4 and count on from there to get their total. We can use the same principle to find the answer to a multiplication fact as well. A student might not remember the answer to 8 x 4 (eight fours), but they DO know 5 x 4 (five fours) is 20 and that 3 x 4 (three fours) is 12. So if they combine the two pieces of information that they DO know (20 + 12), they can determine that the answer to 8 x 4 equals 32. A number bond model can be used to clearly represent this strategy for solving larger multiplication problems. Module 1: Date: © 2014 Common Core, Inc. Some rights reserved. commoncore.org Family Math Newsletter Topics A–D 8/12/15 2 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM Module 1: Date: © 2014 Common Core, Inc. Some rights reserved. commoncore.org Family Math Newsletter Gr. 3 Family Math Newsletter Topics A–D 8/12/15 3 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.