Base 10 blocks examples12/14/2023 ![]() ![]() Different combinations of these symbols can model any number.Īnother, even more popular system is the binary system, which is used extensively with computers. The dash represents an increment of five. This numbering system uses just three symbols in different combinations: dots, dashes, and the shell. The Mayan culture used a base 20 system for counting. Are there number systems that use base 20. Do you think it's a coincidence that our base 10 numbering system aligns with our 10 fingers to count?īut we have 10 fingers and 10 toes. ![]() ![]() The reason we use a base 10 system is probably because we have ten fingers to count with. You've seen how the base 10 number system works, but why do we use a base 10 system? Are there other number systems? Using this description we write the following number: 935. If you're given a description of a number using just place value information, you can write a number. So, in going from left to right starting at the decimal point, each place value is ten times the value of the place value to the right. If we were to separate these numbers, we would see this: 500 40 2 The 2 in the tens place has a value of 20. In the ones place is the digit 3, but int he tens place is the digit 2. Place value determines the size of a number. The digit 1 is in the hundreds place.įor whole numbers, place value increases 10-fold. When you look at a number, each digit represents a certain place value. All numbers in a base 10 system just use these digits. This means there are ten digits, which you know as 0 to 9. Our numbering system is called a base 10 system. In fact, counting numbers involves just using the digits from 0 to 9 in different combinations. When you first learned to count, you started at zero or one and counted to nine.Īfter nine, the numbers started repeating.Īfter 19, the pattern of numbers continues. The following review provides basic information about place value. CLICK THE PREVIEW BUTTON TO SEE THE CLIP ART IMAGE. To see the complete collection of these clip art images, click on this link. This complete collection models two- and three-digit numbers using base 10 blocks. Expansion: Use the activities in the links listed under Related Resources for additional practice and extension with larger numbers.This is a collection of clip art images that you can use to model different numbers.Students may need to use all cubes or exchange 10 cubes for a long at first if they have difficulty starting to count at 10. Students use base-ten blocks to represent the number. Small Group: Use base-ten blocks and number cards ( M-K-2-1_Number Cards 11-20.docx).Routine:Students draw a number card ( M-K-2-1_Number Cards 11-20.docx) and use base-ten blocks to represent the number drawn.Move around the room observing and asking clarifying questions to evaluate which students understand place value and which need additional exploration. Give each student a copy of the Place-Value Worksheet ( M-K-2-2_Place-Value Worksheet and KEY.docx). “Read the number on the board.” (Seventeen) “In 17, which digit is in the ones place? (7) “The tens place?” ( 1) “Use your number cards to show the number with a 3 in the ones place, and a 1 in the tens place.” (13) “Show the number 12 with base-ten blocks.” (1 long, 2 cubes) Write numbers in the range of 11–20 on the board and ask the students to show the number by placing base-ten blocks on their place-value mats.Ĭontinue with a series of procedures using base-ten blocks, number cards, written numbers, and spoken numbers. This will allow students to sort the blocks mentally into ones and ten. After a few examples, display the base-ten blocks at random without the mat. Repeat with other numbers in the range of 11–20. “ Show the number 15 by putting your cards on your place-value mat.” ( Students show 15 by putting the card for 1 in the tens place and the card for 5 in the ones place.) “How many tens?” (1) “How many ones?” (5) “Read the number.” (Fifteen) Display 1 long and 5 cubes on a place-value mat. Give each child a set of number cards (11–20) and a place-value mat ( M-K-2-2_Place-Value Mat.docx). Base-ten blocks can be used to help understand numbers and solve problems.” “Our system for writing numbers is called the base-ten system because it is based on grouping things by tens. Why do you think a long represents ten?” (It is made up of ten cubes.) “These are called base-ten blocks.” Hold up a cube. Have students count from 10 several times, having them stop at 16, 20, and 17. For example, “Count forward starting at 10 until I tell you to stop.” Stop students at 18. Begin the lesson by doing choral counting from 10 to prepare students for work with base-ten blocks. ![]()
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