Memorization

Explore activities that help children memorize addition, subtraction, multiplication, and division math facts.

Addition Control Chart

Memorization is:

“The process of committing something to memory or learning something by heart.”

-Oxford dictionary.

Memorizing math facts is something that all students work towards during their time in primary and elementary school. Children engage in repetitive exercises to learn 5 + 5 =10 and 8 – 5 = 3. Primary Montessori children work on memorizing these same essential equations. However, in the Montessori approach, we first introduce children to the big-picture concept of the four operations so that they have an understanding of what 5+5 actually means. Children use hands-on materials to learn that addition is “putting together small quantities to make a larger quantity.” They play games to determine that multiplication is “putting the same quantity together many times to yield a larger quantity.” Only after lots of experience with these big-picture concepts do we introduce the memorization of essential math facts. The children then find that learning these equations by heart helps them to perform the four operations with greater accuracy.

At Home Memorization Activities:

In the Montessori classroom, we introduce children to hand-on materials that help them derive the math facts. The activities below are opportunities for repetition with memorization after these hands-on lessons have been practiced.

Addition Strip

Addition Strip Board ages 5 -5 ½ and up

Directions: Print the addition strip board and strips on cardstock. Cut out the red and blue addition strips. Print the addition tables. To get started, place the blue strips in order above the left side of the chart. Place the red strips in order above the right side of the chart. Read the first equation listed on the addition table. Use one blue strip and one red strip to find the answer to the equation. Record the answer on the table. Continue until you have explored all tables 1-9. Use the control chart to check your answers. When you are finished, staple your equation sheets together to make an addition booklet. Over time, progress to the second set of addition tables in which the equations are mixed.

* The addition stripboard is best used after a formal presentation by the teacher.

addition strip board.pdf
106 KB
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Addition Control Chart 1.pdf
101 KB
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Addition Control Chart 2.pdf
244 KB
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Addition Tables Set 1.pdf
196 KB
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Addition Tables Set 2.pdf
197 KB
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Addition Combinations Booklets for Home.pdf
56 KB
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Addition Finger Chart

Addition Practice Charts ages 5 -5 ½ and up

Directions: Print the addition practice chart. Print and cut out the addition equations. Read each essential addition equation. Try to determine the answer without using your fingers or counting in your head. If the answer pops into your mind immediately, you know this equation by heart. Otherwise, use the practice chart to solve the addition equation. Record any unknown equations on the math paper below and repeat the full equation with the answer (8 + 8 =16) to help with retention. Continue until you have explored all 72 equations. Use the control chart to check your answers to ensure you are memorizing the correct equation. When you are finished, staple your equation sheets together to make an addition booklet. Over time, you will not have to use the chart at all!

Addition Chart 1.pdf
40 KB
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Addition Chart 2.pdf
38 KB
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Addition Chart 3.pdf
43 KB
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Addition Equations.pdf
38 KB
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Addition Control Chart 1.pdf
101 KB
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Addition Control Chart 2.pdf
244 KB
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Math Booklet Covers.pdf
25 KB
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Math Equation Booklet Inserts.pdf
20 KB
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Addition blank 1

Addition Blank Chart ages 5 -5 ½ and up

Directions: Print the addition blank chart and the addition answer tiles. Cut out the tiles and arrange them above the blank chart, grouping like numbers. Print and cut out the addition equations. Read each essential addition equation and determine the answer. Look for the answer tile. Use your fingers to find where the answer tile should be placed on the blank chart (similar to how you used the addition practice chart 1). Continue until the entire chart has been completed, and all of the answer tiles have been placed.

Addition Blank Chart.pdf
49 KB
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Addition Equations.pdf
38 KB
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Subtraction Strip Board Photo

Subtraction Strip Board ages 5 -5 ½ and up

Notes: The Subtraction Strip Board is a bit more involved than the addition strip board and is best used after a formal presentation by the teacher. Please see your child’s guide for full instructions as to how to use this material.

subtraction strip board.pdf
424 KB
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Subtraction Control Chart.pdf
94 KB
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Subtraction Tables Set 1.pdf
361 KB
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Subtraction Tables Set 2.pdf
361 KB
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Subtraction Finger Chart

Subtraction Practice Chart ages 5 ½ and up

Directions: Print the subtraction practice chart. Print and cut out the subtraction equations. Read each essential subtraction equation. Try to determine the answer without using your fingers or counting in your head. If the answer pops into your mind immediately, you know this equation by heart. Otherwise, use the practice chart to solve the subtraction equation. Record the equation on the math paper below and repeat the full equation with the answer (18 - 9= 9) to help with retention. Continue until you have explored all equations. Use the control chart to check your answers to ensure you are memorizing the correct equation. When you are finished, staple your equation sheets together with a cover sheet to make a subtraction booklet. Over time, you will not have to use the chart at all!

Subtraction Practice Chart.pdf
31 KB
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Subtraction Equations.pdf
40 KB
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Subtraction Control Chart.pdf
94 KB
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Math Booklet Covers.pdf
25 KB
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Math Equation Booklet Inserts.pdf
20 KB
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Subtraction Blank Chart ages 5 ½ and up

Directions: Print the subtraction blank chart and the subtraction answer tiles. Cut out the tiles and arrange them above the blank chart, grouping like numbers. Print and cut out the subtraction equations. Read each essential subtraction equation and determine the answer. Look for the answer tile. Use your fingers to find where the answer tile should be placed on the blank chart (similar to how you used the subtraction practice chart). Continue until the entire chart has been completed, and all of the answer tiles have been placed.

Subtraction Blank Chart.pdf
40 KB
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Subtraction Equations.pdf
40 KB
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Number Puzzles ages 6 and up

Directions: Use your addition and subtraction math facts to solve the number puzzle.

Number Puzzles.pdf
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Number Puzzles 2.pdf
35 KB
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The Multiplication Board ages 5 ½ and up

Notes: The Multiplication Board is a bit more involved than many of the other memorization materials and is best used after a formal presentation by the teacher. Please see your child’s guide for full instructions as to how to use this material.

Multiplication Board.pdf
86 KB
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Multiplication Tables Set 1.pdf
208 KB
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Multiplication Tables Set 2.pdf
210 KB
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Multiplication Control Chart-1.pdf
120 KB
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Multiplication Control Chart-2.pdf
117 KB
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Multiplication Practice Charts ages 5 ½ and up

Directions: Print the multiplication practice chart. Print and cut out the multiplication equations. Read each essential multiplication equation. Try to determine the answer without using your fingers or counting in your head. If the answer pops into your mind immediately, you know this equation by heart. Otherwise, use the practice chart to solve the multiplication equation. Record any unknown equations on the math paper below and repeat the full equation with the answer (8 x 8 =64) to help with retention. Continue until you have explored all of the equations. Use the control chart to check your answers to ensure you are memorizing the correct equation. When you are finished, staple your equation sheets together to make a multiplication booklet. Over time, you will not have to use the chart at all!

Multiplication Practice Chart 1.pdf
40 KB
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Multiplication Practice Chart 2.pdf
39 KB
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Multiplication Control Chart-2.pdf
117 KB
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Multiplication Equations.pdf
42 KB
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Math Booklet Covers.pdf
25 KB
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Math Equation Booklet Inserts.pdf
20 KB
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Multiplication Blank Chart ages 6 and up

Directions: Print the multiplication blank chart and the multiplication answer tiles. Cut out the tiles and arrange them above the blank chart, grouping like numbers. Print and cut out the multiplication equations. Read each essential equation and determine the answer. Look for the answer tile. Use your fingers to find where the answer tile should be placed on the blank chart (similar to how you used the multiplication practice chart 1). Continue until the entire chart has been completed, and all of the answer tiles have been placed.

Multiplication Blank Chart.pdf
47 KB
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Multiplication Equations.pdf
42 KB
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Addition Blank 2