Base ten blocks decimals11/12/2023 ![]() ![]() After you check to be sure they represented the number properly on the mat, ask students to write the word name and expanded form.Įxpanded form is particularly difficult when representing decimals, and using base 10 manipulatives seems to help illustrate the concept. You can make up your own numbers or use the Build a Decimal Task Cards provided in the freebie. If they cut those 10 slices into 10 parts, each part was 1/100 or 0.01 of the whole.Īfter you introduce the value of each base 10 piece, guide your students through an activity I call “Build a Decimal.” Start by writing a decimal in standard form on the board and asking students work to with their teams to “build” that number on the team mat. I explained that even though they had been taught that the “flat” was equal to 100, I wanted them to think of it as one whole… maybe one whole cake for a family of mice! If they sliced the cake into 10 parts, each part was 1/10 or 0.1. Introduce each piece and explain how it represents a particular decimal place. Ask your students to divide up the materials so that one person has the cubes, one has the flats, one has the rods, and one has the units. It’s best if each student has a dry erase board and marker, too. Seat your students in teams of four and give each team one set of base 10 manipulatives. Or you can print the patterns in my Build a Number freebie to create the place value mat on 2 sheets of 8.5″ by 11″ paper. Use a dry erase marker to draw a decimal point between the ones place and the tenths place. To create mats like the ones I used in my lesson, draw the 4-column chart above on a large sheet of heavy paper (18″ x 24″) and laminate it. ![]() ![]() I found that it’s really important to create a place value mat (like the one shown above) for these lessons because it helps students remember what place is represented by each model. When introducing decimals, you can use the cubes to represent tens, the flats to represent ones, the rods for tenths, and the units for hundredths. Be sure to download the freebie that goes with this lesson! How to Introduce Decimals, Step by Step Kids have to understand that each place to the left is 10 times the size of the place to the right, and base 10 blocks are the best way to explore that concept. Primary teachers often use them to introduce whole numbers, but base 10 blocks are also effective with upper elementary students when exploring decimals. Whether you’re introducing whole number concepts or decimal place value, it’s important to start at the concrete level, and base 10 blocks work perfectly because they are sized according to their value.Įven 5th graders aren’t too old for base 10 blocks. ![]() Understanding place value is essential to developing a solid foundation of mathematical understanding. These slides will help children focus on the place value of each digit.There’s a reason math teachers start the year by introducing or reviewing place value concepts. And finally, with nine thousandths, we copy and paste nine cubes. There are five hundredths, so we copy and paste five longs. We don’t have any tenths, so we don’t have to copy any flats. Solving isn’t hard once those facts are established. So what is the one…the block! The long is now one-hundredth and the cube one-thousandth. So to solve this problem, they simply copy and paste five longs and place them in the goal. This means that the block equals 10, the long equals one-tenth, and the cube equals one-hundreth. On this slide, you can see that the flat equals one. It provides an extra challenge and will drive home the fact that we are working with the powers of 10….just like they did when they were little. While working through these slides, the students will notice that the block that equals one will change. Now they get to do the same thing, just with decimals. They used the cube to represent the one’s place, the long to represent the tens, and the flat to represent the hundreds place. In k – 2 they were used to help children understand whole numbers. Many children are familiar with base ten blocks. 2) The Changing One Representing Decimals with Base Ten Blocks ![]()
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