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This page provides examples of Multiplication Workstations aligned with Add+Vanced Math Recovery AVMR and the Early Childhood Assessment in Mathematics (ECAM)and the Numeration Continuum. Fluency with basic multiplication facts (0x0 - 9x9) and related division facts is considered foundational for further advancement in mathematics. These facts form the basis for learning multi-digit multiplication and division, area, fractions, percentages, volume, ratios, and decimals. This page provides examples of multiplication centers that can be used to support the development of multiplication fluency. These centers can be used by teachers or parents to support students' progress within a stage, or to facilitate movement to the next stage on the multiplication continuu There are also Counting Workstations, Numeration Workstations , Addition and Subtraction Workstations, and Division Workstations For more information on using centers as an ongoing routine to develop math fluency in 3rd thrpugh 5th grade classrooms see here.
Stage 1.0
These students can make equal groups using a count by ones strategy.
Next Steps:
- Begin to see a group as one unit
- Use skip counting or repeated addition to find products
- Build arrays to solve multiplication problems
Stage 1.1
These students see a group as one unit. They can use skip counting or repeated addition to find products.
Next Steps:
- Use thinking strategies to multiply by 5 and 10 (e.g. Use Tens)
- Develop an understanding of rules for multiplying by 1 and 0
Possible workstations :
Sentence Frames:
Stage 1.2
These students demonstrate fluent use of thinking strategies when multiplying by 5 and 10 (Use Tens). They understand rules for multiplying by 0 and 1.
Next Steps:
- Use thinking strategies to multiply by 2, 4, and 8 (e.g. Use Doubles, Use the Commutative Property)
Possible workstations :
Sentence Frames:
Google Slides and Jam Boards:
Stage 1.3
These students demonstrate fluent use of thinking strategies when multiplying by 2, 4, and 8 (Use Doubles, Use the Commutative Property)
Next Steps:
- Use thinking strategies to multiply by 3, 6, 7 and 9 (e.g. Build up/Build Down, Use the Commutative Property
Possible workstations :
Sentence Frames
Google Slides and Jam Boards:
Mult_Partially Covered Arrays Jam Board
Stage 1.4
These students demonstrate fluent use of thinking strategies when multiplying by a single digit factor (x0 -x9).
Next Steps:
- Continue to regularly practice thinking strategies for x0 - x9 facts in order to know from memory all products of two one-digit numbers
- Use thinking strategies for x2-x9 to solve problems involving extended facts
Stage 1.5
These students demonstrate fluent use of thinking strategies when solving problems involving extended facts within 100.
Next Steps:
- Multiply one-digit numbers by a multiple of 10 using place value knowledge (e.g. 6 x 50 = 6 x 5 tens = 30 tens = 300)
Stage 2.1
These students demonstrate fluency with basic multiplication facts and can multiply one-digit numbers by a multiple of 10 (e.g. 6 x 50, 8 x 40).
Next Steps:
- Multiply a 3-digit number by a 1-digit number (with and without regrouping) using strategies based on place value. Illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
Stage 2.2
These students fluently multiply a 3-digit number by a 1-digit number (with and without regrouping) using strategies based on place value. They illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
Next Steps:
- Multiply a 4-digit number by a 1-digit number (with and without regrouping) using strategies based on place value. Illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
Stage 2.3
These students fluently multiply a 4-digit number by a 1-digit number (with and without regrouping) using strategies based on place value. They illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
Next Steps:
- Multiply a 2-digit number by a 2-digit number using strategies based on place value. Illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
Stage 3.1
These students fluently multiply a 2-digit number by a 2-digit number (with and without regrouping) using strategies based on place value. They illustrate and explain the calculation using equations, rectangular arrays, and/or area models.
Next Steps:
- Multiply a 3-digit number by a 2-digit number using a standard algorithm.
Stage 3.2
These students fluently multiply a 3-digit number by a 2-digit number (with and without regrouping) using a standard algorithm.
Next Steps:
- Multiply a 4-digit number by a 2-digit number using a standard algorithm.
Stage 3.3
These students fluently multiply a 4-digit number by a 2-digit number (with and without regrouping) using a standard algorithm.
Next Steps:
- Multiply a 3-digit number by a 3-digit number using a standard algorithm.
Possible workstations :
Google Slides and Jam Boards
*AVMR - Add+Vanced Math Recovery, FNWS - Forward Number Word Sequence, BNWS- Backward Number Word Sequence, NID- Number Identification
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