How To Draw Math Concepts Decimals

How to Introduce Decimals with Base of operations Ten Blocks

There's a reason math teachers start the yr by introducing or reviewing place value concepts. Understanding identify value is essential to developing a solid foundation of mathematical agreement.

Introducing Identify Value

Whether you're introducing whole number concepts or decimal identify value, it's important to start at the concrete level, and base x blocks work perfectly because they are sized according to their value.

Even 5th graders aren't as well former for base of operations ten blocks. Chief teachers often employ them to introduce whole numbers, just base ten blocks are also effective with upper unproblematic students when exploring decimals. Kids have to understand that each place to the left is x times the size of the place to the right, and base x blocks are the best style to explore that concept. Be certain to download the freebie that goes with this lesson!

How to Introduce Decimals, Step by Footstep

When introducing decimals, y'all can use the cubes to represent tens, the flats to correspond ones, the rods for tenths, and the units for hundredths. I plant that it'due south really important to create a place value mat (like the one shown above) for these lessons because it helps students remember what identify is represented by each model. To create mats like the ones I used in my lesson, draw the 4-cavalcade chart in a higher place on a large canvass of heavy paper (eighteen″ x 24″) and laminate it. Use a dry erase marker to describe a decimal point between the ones place and the tenths place. Or you lot tin print the patterns in my Build a Number freebie to create the place value mat on 2 sheets of eight.five″ by 11″ paper.

Seat your students in teams of four and give each team one set of base ten manipulatives. It's all-time if each student has a dry erase board and marking, too. Inquire 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. Introduce each piece and explain how information technology represents a particular decimal place. I explained that fifty-fifty though they had been taught that the "flat" was equal to 100, I wanted them to remember of it as one whole… maybe one whole cake for a family unit of mice! If they sliced the cake into x parts, each office was ane/ten or 0.1. If they cut those 10 slices into 10 parts, each part was i/100 or 0.01 of the whole.

Fun decimal practice! Students work together to "build" a decimal with base 10 blocks. Then they write the word name and expanded form of the number.

Team Practice: Build a Decimal

Later on y'all 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 piece of work to with their teams to "build" that number on the team mat. You lot tin make up your own numbers or use the Build a Decimal Task Cards provided in the freebie. Later you check to be sure they represented the number properly on the mat, ask students to write the give-and-take name and expanded course. Build a Decimal freebie from Laura Candler! Includes decimal cards and patterns to create the decimal place value mat needed for the activity.

Expanded form is particularly hard when representing decimals, and using base 10 manipulatives seems to help illustrate the concept. For example, it'south like shooting fish in a barrel to run across that the number on the mat tin be written as xx + 4 + 0.6 + 0.09 because students tin can see each place represented with concrete objects. The expanded form of this number could also be expressed as 20 + 4 + six/10 + 9/100 or completely cleaved downwards to twenty + 4 + 6 ten (i/x) + 9 x (ane/100). All of those ways to express decimals are much more hands viewed when looking at a mat such as the one below. Students can also see that each identify to the left is ten times greater than the one on its correct.

Resource for Teaching Place Value

As with almost math concepts, it's not plenty to innovate them with hands-on materials and so motility on to the adjacent lesson. Kids have to do the terminology and work with the concepts until they are fluent with them. That's where math games come in handy. These four place value games are included in my Identify Value Games Bundle, which is great for fourth and fifth grade. My students enjoyed all of these activities, and they perfect for math centers and small grouping teaching.

Place Value Partners Game
CCSS 2.NBT.A.3, 4.NBT.2, and 5.NBT.A.3
Identify Value Partners is my near popular game for reviewing whole number and/or decimal identify value. Information technology's like to Battleship, just students use a game board with lines for placing numbers and number cards instead of ships and a coordinate grid. Meet the image below to sympathize how the game is prepare and played. The Sender calls out each digit, one at a time, and tells the Receiver where to place them. When all the numbers are in place, they compare their game boards, check the final number and write its standard form, word proper noun, and expanded class in their math journals or on a recording folio. The packet shown here includes four different variations of the game lath to include everything from 4-digit whole numbers to decimals.

Place Value Partners game and three more math center games for reviewing place value.

Bingo Showdown Decimal Review
CCSS 5.NBT.iii and 5.NBT.4.
Decimal Identify Value Bingo Showdown is a variation of the archetype Bingo game that tin exist used for whole group instruction, small guided math groups, cooperative learning teams, or in learning centers. What more can I say? It'due south Bingo and kids love it!

Identify Value Spinner Games
CCSS 4.NBT.2 and 4.NBT.3
Another game my students enjoyed was the Spin iv Cash Place Value Review Game. In this activity, students practice give-and-take names and expanded forms using job cards and a spinner. When they get a correct answer, they may spin for a certain amount of "math cash." I also created an international version called Spin 2 Win that awards tokens instead of cash.

I'm the Greatest – Comparison Numbers Game
CCSS ii.NBT.iv, 4.NBT.2, v.NBT.3
The final game I want to share with you is I'm the Greatest, a uncomplicated action for comparing numbers. The teacher can play against the course, or students tin play against each other in cooperative learning teams. In this game, players endeavour to create the largest number by placing randomly-selected numbers on a game board. There's a flake of luck involved, but in order to win, students have to be able to read discussion names and compare numbers accurately.

All four games are available individually or equally a part of the Place Value Game Bundle. Even if yous have already introduced place value concepts, these games make groovy review and do activities throughout the year. You've heard that practice makes perfect, and that definitely applies to place value concepts. Enough of identify value practise is needed to make perfect!