Using Centers to Build Number Sense in the Primary Classroom

1. Using Centers to Build Number Sense in the Primary Classroom Tammy Walter Shante’ Dallapiazza

2. Centers and activities used to supplement curriculum Learning centers offer the ability to work on number sense skills at many levels providing differentiation in a single classroom or across grade levels. • Students can acquire Number Sense. They must learn to: • - Talk about their understanding, could be done with: • number talks (always explaining thinking) and/or • cooperative learning (number centers small group work with “I think that because...”) • - Explore numbers and their relationships and strategies for problem solving • - Use of Mathematical Practices (Construct viable arguments (explain cards), Model with mathematics, Use tools, Look for structure)

3. Number Sense in Primary Grades Kindergarten Standards Counting and Cardinality • Know number names and the count sequence. • Count to tell the number of objects. • Compare numbers. Operations and algebraic thinking • Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. Number and operations in Base ten • Work with numbers 11–19 to gain foundations for place value. Measurement and Data (not addressed) Geometry (not addressed)

4. Number Sense in Primary Grades 1st Grade Standards Operations and algebraic thinking • Represent and solve problems involving addition and subtraction. • Understand and apply properties of operations and the relationship between addition and subtraction. • Add and subtract within 20. • Work with addition and subtraction equations. Number and operations in Base ten • Extend the counting sequence. • Understand place value. • Use place value understanding and properties of operations to add and subtract. Measurement and Data (not addressed) Geometry (not addressed)

5. Number Sense in Primary Grades 2nd Grade Standards Operations and algebraic thinking • Represent and solve problems involving addition and subtraction. • Add and subtract within 20. • Work with equal groups of objects to gain foundations for multiplication. Number and operations in Base ten • Understand place value. • Use place value understanding and properties of operations to add and subtract Measurement and Data (not addressed) Geometry (not addressed)

6. Resources Materials - Manipulatives organized in labeled, reusable containers (lots of dice, counters, cards, connecting cubes, …) - Clear plastic sleeves for paper - Dry erase markers and erasers - SmartBoard as a center if available (NCTM Illuminations) - Paper and pencil for informal assessment Routines - Older “buddy” grades teach centers to students (roll out no more than two per week) - Students must be taught proper ettiquette at centers (gradual release, students do not race station to station, students must verbalize thinking)

7. Interventions, Remediation and Informal Assessments - Learning centers can be made for remediation or enrichment - Flexible groupings not ability groups (only 2 or 3 at a center)- Natural opportunities to differentiate - Can pull assessment groups

8. Kindergarten Activities Counting and Cardinality • Subitize (dot cards, Five-frame), Tallies • Match dot cards with numbers (Concentration) • Sequence dot cards and numbers (counting line on sentence card strip) • Compose and Decompose to 5, Hiding number (to 5), My book of ____s. • Who has more? (to 10) (Top-It or War Card game) • Estimate (Grab bag, estimate, record, then count and check) Operations and algebraic thinking Number stories • Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. Number and operations in Base ten • Work with numbers 11–19 to gain foundations for place value.

9. 1st Grade Activities Operations and algebraic thinking • Represent and solve problems involving addition and subtraction. • Understand and apply properties of operations and the relationship between addition and subtraction. • Add and subtract within 20. • Work with addition and subtraction equations. • Subitize (dot cards, Ten-frame) • Estimate (Grab bag, then count and check) • Match dot cards with numbers (concentration) • Sequence dot cards (dominoes) and numbers (counting line on sentence card strip), Guessimate, Number Line Squeeze, Garbage (card game) • Compose and Decompose to 10 (my book of 6s), Hiding number (to 10), Roll to 10 (Ten-frame) (Illuminations) • Who has more? (to 10), grab bag (counters to 25) • Which is more? (Introduce a pan balance and show >, <, =), How much more? (Introduce = “equal sign” means “same as”) Number and operations in Base ten • Extend the counting sequence. (number line missing numbers, skip count number line, Zap skip count game) • Understand place value. • Use place value understanding and properties of operations to add and subtract.

10. 2nd Grade Activities Operations and algebraic thinking • Represent and solve problems involving addition and subtraction. (Number stories with missing addends) • Add and subtract within 20. (Ten-frame addition) • Work with equal groups of objects to gain foundations for multiplication. Build arrays (with grid paper), Birds in nests (dice rolling), product array game Number and operations in Base ten • Understand place value. (Ten-frame addition) Place value mat (base ten riddles, base 10 exchanges, build biggest, smallest number) • Use place value understanding and properties of operations to add and subtract (decompose 10s and 1s, open number line)

11. K- Assessment

12. 1st - Assessment

13. 2nd - Assessment

14. Video Links to games Guesstimate (number sequence) https://picasaweb.google.com/117127756373018243601/GameGuesstimate?authuser=0&authkey=Gv1sRgCMyqt8Xl4pWNnAE&feat=directlink Zap (skip counting, count up, count back, etc.)https://picasaweb.google.com/117127756373018243601/ZapSkipCounting?authuser=0&authkey=Gv1sRgCP3PgdmKpKKEmQE&feat=directlink Garbage (sequence card game) https://picasaweb.google.com/117127756373018243601/CardGameGarbage?authuser=0&authkey=Gv1sRgCJfR84_D9ryAtgE&feat=directlink

15. Video Links to games Capture 10 (10 frame strategy)https://picasaweb.google.com/117127756373018243601/Capture10?authuser=0&authkey=Gv1sRgCKTlker1rf-69gE&feat=directlink General Salute (math facts) https://picasaweb.google.com/117127756373018243601/GeneralSaluteMathFacts?authuser=0&authkey=Gv1sRgCPfMs-iWqaOuSA&feat=directlink Product Array Game (multiplication arrays) https://picasaweb.google.com/117127756373018243601/ProductArrayGame?authuser=0&authkey=Gv1sRgCJmE1YWRs8nH-QE&feat=directlink