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Exploring Math: Breaking Numbers Apart in a Base-Ten System Created by Patrice Covino and Megan Stein, 2013. Solve. 27 + 42=. Solving Strategies, Mathematical Thinking. 27 dffffffhhffffxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwww +42 (20+40)+ (7+2) 30 + 42 – 3
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Exploring Math: Breaking Numbers Apart in a Base-Ten SystemCreated by Patrice Covino and Megan Stein, 2013
Solve. 27 + 42=
Solving Strategies, Mathematical Thinking • 27dffffffhhffffxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwww+42 • (20+40)+ (7+2) • 30 + 42 – 3 Goal: To provide children with a strong foundation in number sense so they can work with numbers fluently.
What is Base-Ten? • Base-Ten is a “place value” system where any single digit can represent a different value depending on it’s placement in a number. • Example: Note the value of the digit 5 in each number below. 325 152 578 5 vs. 50 vs. 500
Decomposing Numbers • Children need a strong sense of numbers to be able compose and decompose them comfortably. • Decomposition/ Composition of Numbers: 325 300 + 20 + 5 • Understanding the place value of 325 entails knowing that: • 325 is closer to 300 than 400 • It is 100 more than 225 • It is 25 more than 300 • It is 5 less than 330 • It is composed of 32 groups of ten and 5 ones
How might this look in Kindergarten? 16 = 10 + 6 1 group of tens and 6 ones ★★★★★★★★★★ ★★★★★★
Why learn about it as early as Kindergarten? Common Core Kindergarten Math Standards Work with numbers 11–19 to gain foundations for place value. • 1. Compose and decompose numbers from 11 to 19 into a group of ten and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. Becoming comfortable with Base 10 in Kindergarten allows children to build a solid number sense foundation, which they can later rely on as they approach more challenging work.
What does Base-Ten look like in the classroom? • Repeated counting practice and developing mental images for quantities up to 10 • Days in School Count (by 1s, 2s, 5s, and 10s) • Morning Meeting choral counting • Ten Frames (games on Ten Frames- memory, build a number) • Base-10 Blocks • Connecting cube towers (one more, one less, ordering) • Drawings organized for Base-Ten
How can I support my child at home? • Provide FUN opportunities for your child to compose and decompose numbers in the form of tactile or visual supports. Consider using the following materials: • Play-doh or Clay • Dried Pasta • Cereal, Pretzels, etc. • Markers, crayons, paper • Base 10 Flash Cards • Sponges cut into longs and cubes • Rekenrek- home-made or store-bought!