Homeschool Montessori - Mathematics Curriculum


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Sample Lesson - Introducing the Decimal System Golden Bead Material

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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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