Memorization: Multiplication Charts Multiplication Chart (control chart of tables) A rectangular wooden board divided into one hundred small rectangles. On this board the complete multiplication table is written in sequence, one equation to a rectangle, from 1 x 1 = 1, to 10 x 10 = 100. The multiplicands and multipliers are written in black, the products in red. The child uses this chart as a control chart. Multiplication Chart 2 (control chart with duplicates removed) This chart is similar to multiplication chart 1, but commutative equations have been eliminated. Equations with the same multiplier appear in the same column. Squares of numbers form the diagonal. As with multiplication chart 1, multiplicands and multipliers are in black, products in red. The child also uses this chart as a control when she understands that multiplication is commutative. To check a problem like 6 x 3, she must be able to reverse the order of the addend and find 3 x 6 on the chart. Multiplication Chart 3 (complete finger chart) A square wooden board divided into one hundred small squares. The top row of squares is blue and contains the numerals 1 to 10. The column on the far left is red and contains the numerals 2 to 10 (preceded by 1 in the top left corner). Each remaining square contains the product of a multiplicand (red column) and a multiplier (blue row). The child uses this chart to practice multiplication. Procedure of use: Have a box of prepared multiplication tickets (made on yellow paper, because multiplication is yellow) and have the child choose a ticket (i.e., 3 x 7 = ). The child places her left index finger on the multiplicand (3) in the red column and her right index finger on the multiplier (7) in the blue row. She slides one finger down a column and the other across a row until they meet. The product lies in the square where the column and row intersect (in this example, 21). Multiplication 4 (half finger chart) This chart is similar to multiplication chart 3 except that commutative products (those above and to the right of the products along the diagonal) have been eliminated. ‘squared’ The child uses this chart to practice multiplication.
Memorization: Multiplication Charts Multiplication Chart (control chart of tables) A rectangular wooden board divided into one hundred small rectangles. On this board the complete multiplication table is written in sequence, one equation to a rectangle, from 1 x 1 = 1, to 10 x 10 = 100. The multiplicands and multipliers are written in black, the products in red. The child uses this chart as a control chart. Multiplication Chart 2 (control chart with duplicates removed) This chart is similar to multiplication chart 1, but commutative equations have been eliminated. Equations with the same multiplier appear in the same column. Squares of numbers form the diagonal. As with multiplication chart 1, multiplicands and multipliers are in black, products in red. The child also uses this chart as a control when she understands that multiplication is commutative. To check a problem like 6 x 3, she must be able to reverse the order of the addend and find 3 x 6 on the chart. Multiplication Chart 3 (complete finger chart) A square wooden board divided into one hundred small squares. The top row of squares is blue and contains the numerals 1 to 10. The column on the far left is red and contains the numerals 2 to 10 (preceded by 1 in the top left corner). Each remaining square contains the product of a multiplicand (red column) and a multiplier (blue row). The child uses this chart to practice multiplication. Procedure of use: Have a box of prepared multiplication tickets (made on yellow paper, because multiplication is yellow) and have the child choose a ticket (i.e., 3 x 7 = ). The child places her left index finger on the multiplicand (3) in the red column and her right index finger on the multiplier (7) in the blue row. She slides one finger down a column and the other across a row until they meet. The product lies in the square where the column and row intersect (in this example, 21). Multiplication 4 (half finger chart) This chart is similar to multiplication chart 3 except that commutative products (those above and to the right of the ‘squared’ products along the diagonal) have been eliminated. The child uses this chart to practice multiplication.
nmi_final_math_2016_ec.docx