Montessori 3–6 Homeschool Mathmatics Table of Contents/Sample Activity

 

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NAMC's 3–6 Montessori Homeschool Program. Table of Contents and sample activity for the Mathematics curriculum.

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montessori 3­6 homeschool mathematics

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table of contents introduction to mathematics .1 numbers to ten .4 number rods .6 sandpaper numbers .8 number rods and number cards .11 zero activity .13 memory game of numbers .15 numbers and counters .17 short bead stair .19 introduction to the decimal system and the four operations .21 introducing the decimal system golden bead material .25 presentation with the large number cards .28 counting the decimal system golden bead material .30 counting the large number cards .34 counting the decimal system golden bead material and small number cards .37 combining the decimal system golden bead material and small number cards .40 the bank .43 introduction to the change game .45 change game .48 golden bead material addition .51 golden bead material subtraction .56 golden bead material multiplication .61 golden bead material division .65 stamp game introduction .69 3­6 homeschool mathematics © namc north american montessori center

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stamp game addition .72 stamp game subtraction .75 stamp game multiplication .78 stamp game division .81 teens and tens .84 formation of quantities 11 to 19 with bead material .85 formation of numerals 11 to 19 with teen boards .87 combination of teen boards and bead material to form 11 to 19 .89 formation of quantities 10 to 90 with golden bead material .91 formation of numerals 10 to 90 with ten boards .93 combination of ten boards and golden bead material to form 10 to 90 .95 formation of quantities 11 to 99 with bead material .97 formation of numerals 11 to 99 with ten boards .99 combination of ten boards and bead material to form 11 to 99 .101 hundred board .103 memorization .105 addition with the number rods .107 addition with the short bead stair .110 addition strip board .112 addition charts .116 activity 1 addition chart 3 .117 activity 2 addition chart 6 .118 addition snake game .120 subtraction with the number rods .125 subtraction strip board .127 subtraction charts .132 activity 1 subtraction chart 2 .133 activity 2 subtraction chart 3 134 3­6 homeschool mathematics © namc north american montessori center

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subtraction snake game .136 multiplication bead board .141 multiplication charts .144 activity 1 multiplication chart 3 .145 activity 2 multiplication chart 5 .146 division bead board .148 3­6 homeschool mathematics © namc north american montessori center

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introducing the decimal system golden bead material purpose to familiarize a child with the quantities and names of the different hierarchies age 4­4 1/2 years old prerequisites sandpaper numbers numbers and counters background information the decimal system and place value are first introduced to your child using the golden bead material a montessori material that represents the values of ten in a concrete manner the golden bead material is composed of beads that are uniform in size and color only their quantities change as your child manipulates the material she gains a sensorial understanding of place value through sight touch and weight she can see that each hierarchy is a different size and is made up of multiples of the previous hierarchy for example one 10-bar is made up of ten unit beads as well she can feel the weight difference between the hierarchies when she 3­6 homeschool mathematics 25 © namc north american montessori center

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manipulates the material the golden bead material represents place values from units to thousands as follows · · · · one golden bead represents one unit it is commonly referred to as a unit ten golden beads wired together represents one 10 it is commonly referred to as a 10-bar ten 10-bars wired together form a square that represents one 100 it is commonly referred to as a 100-square ten 100-squares wired together form a cube that represents one 1,000 it is commonly referred to as a 1,000-cube as you will see in your material the 100-squares and 1,000-cubes may also be made of wooden slabs and cubes imprinted with a grid of dots that look like beads to show that they represent multiples of golden bead material you will need · · · golden bead material consisting of one unit bead one 10-bar one 100-square and one 1,000-cube see material tray work mat preparation position the golden bead material on the tray with the unit bead on the right and the 1,000-cube on the left presentation · · · invite your child to the mat to learn about the golden bead material place the tray on the mat so that the unit is always on the right side remove the unit say this is one unit 3­6 homeschool mathematics 26 © namc north american montessori center

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· · · · offer the unit bead to your child and encourage her to feel the unit and repeat the name place the unit bead on the right side of the mat continue in the same manner with the 10-bar 100-square and 1,000-cube respectively invite your child to repeat the activity reminding her to replace the material onto the tray and return it to its place on the shelf when she is finished variation · conduct a three-period lesson with the vocabulary one unit one ten one hundred and one thousand 3­6 homeschool mathematics 27 © namc north american montessori center

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