9/7/2023 0 Comments Base 10 blocks examples![]() The manipulatives can be used for review when needed. Once a child understands, have him use paper exclusively. Transfer to paper by doing each step with manipulatives and showing how it is represented on paper.Continue with problems requiring regrouping into the 100s place.Continue until this process is understood and automatic. ![]() Then count the tens and write the total in the tens column. ![]() When you get to ten, exchange the ten unit cubes for a ten bar and place it with the tens. Continue with problems not requiring regrouping into the 100s and even 1000s place (if you have 1000s blocks).Combine the tens and write the total in the tens column. Combine the ones and write the total in the ones column. The child uses his 12 x 18 chart to lay out 35, then 23. See sample worksheets from Addition Facts in Five Minutes a Day. Do daily facts practice, aiming for a mastery level of 100 facts in three minutes or less.Practice with flash cards the ones then twos then zeros, ones and twos then threes then zeros, ones, twos and threes then fours and so on.Show that 3 + 5 and 5 + 3 are exactly the same.Use the base 10 blocks (or beans, pretzels, whatever) to generate a table of addition facts.Child assembles the appropriate pieces to show the value, placing no pieces in a column with a zero. The child writes the number on a place value chart, using zero as needed. Teacher assembles pieces for a variety of numbers using zero as a place holder: 106 30 520 200.The teacher writes a number and the child assembles the appropriate pieces on the large piece of paper (see photo to the right).Child writes the number in the place value chart. Teacher assembles pieces for a variety of numbers on the chart: 9 35 273 762 etc.On 12" x 18" pieces of paper (one per child), prepare charts labeled hundreds, tens and units (see photo to the right).Challenge: Learn place values through decillions.I call each grouping a "family" and the family names are units, tens, hundreds, thousands, ten thousands, etc. Notice the pattern: one, ten, hundred one, ten, hundred. Write ones, tens, hundreds, one thousands, ten thousands, hundred thousands, one millions, ten millions, hundred millions, etc. For older children: teach them how to fill out the place value chart and have them do it daily until they master it.Measure off or try to imagine the size a hundred thousand flat and a million cube.Notice that the shape of ten thousand is the same as the shape of a ten rod, only it's a whole lot bigger. Stack ten thousand blocks to illustrate ten thousand (see photo).Define the large block as a "thousand." Notice that the shape of the thousand cube is the same as the shape of the unit cube, except that the thousand cube is a whole lot bigger. Show that a thousand cube is the same size, the same quantity. Show that a hundred flat is the same size, the same quantity. Put ten unit cubes side by side and place a ten rod next to it.Show a unit cube and define it as a "unit" or "one.".Sequence of lesson ideas for utilizing classroom sets of base 10 blocks Introducing Place Value They remained popular for play when we had indoor recess. Because kids enjoy playing with the blocks, it helps to get the urge to play out of the way before employing the blocks for "work." Because the temptation to play remains great, I collected all bags at the end of each lesson and stored them back in the box. When I first passed them out to the kids, I gave them time to just play with the blocks and tell me if they could suggest any ways the blocks might be useful for learning math. I stored them in a box and distributed them to students when introducing every new math concept that fit. I had Dad make the pieces for 30 student sets of base 10 blocks (gallon Ziplocks containing unit cubes, 20 ten rods, 2 hundred flats and 5" x 5" pieces of paper to represent additional hundreds). Where would I store it? I thought I might use dowels that fit together so kids could see how much space a million cube would take! It would be an eye-popping illustration of place value! I always wanted a ten thousand rod (5" x 5" x 50"), a hundred thousand flat (5" x 50" x 50") and a million cube (50" x 50" x 50"). I made ten of them so children could stack them to see the value of ten thousand. I also had thousand cubes (5" x 5" x 5") for demonstration. Commercial sets were too expensive.īase 10 blocks consist of unit cubes (1/2" x 1/2" x 1/2"), ten rods (1/2" x 1/2" x 5"), and hundred flats (5" x 5" x 1/2"). ![]() My dad, who had a wood shop, made my base ten blocks. It is my firm opinion that the only manipulatives necessary to teach math are base 10 blocks and fraction circles. ![]()
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