Build a strong foundation in decimal concepts with this bundle set of materials that focuses on using tenths and hundredths grid models to identify, compare, and compute with decimals and decimal fractions. This set of “print-and-go” resources includes two games, a set of I Have…Who Has?”
cards, 4 sets of 32 task cards, 8 reference sheets, and 24 difference assessment activities. This bundle has everything you need to introduce, develop, reteach, and assess your students’ understanding of beginning decimal concepts.
Purchasing this bundle will save you nearly 20%
compared to buying the individual products separately – and you’ll receive 1 set of task cards that are only available in this bundle!
This product is a ZIP file containing five PDF s. For directions about how to “unzip” the files, TpT provides instructions here
Common Core State Standards for Mathematics addressed:
Numbers and Operations – Fraction (NF)
Understand decimal notation for fractions, and compare decimal fractions.
• Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. (4.NF.5)
• Use decimal notation for fractions with denominators 10 or 100. (4.NF.6)
• Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. (4.NF.7)
• 8 graphic reference sheets
• 2 blank tenths & hundredths grids templates
• 1 hundredths grid resource sheet
• 2 gameboards & 4 pairs of spinners
• 2 recording sheets
• 1 set of 32 “I Have…Who Has?” – provided as a full set and 16-card “half-sets”
• master list of question and answers
• 4 sets of 32 task cards
• 4 sets of 8 self-checking “answer cards”
• task card answer sheets and keys
• 22 assessment activities and key/rubric
The Grid Match-Up game is simple and requires only some colored tokens and a plastic spinner (or a pencil and a paper clip for a makeshift spinner). There are two gameboard and sets of spinners, as well as recording sheets that you have have your students fill out as they play. When playing, students will have to recognize the number of tenths that are equivalent to a given number of hundredths, and vice versa.
To support your students as they play, there is a full-page reference sheet that presents students with ten pairs of shaded grids, from 1/10 and 10/100 to 10/10 and 100/100, as well as tenths and hundredths grid templates on which you can have students can do their own shading. Once your students have a firm grasp on the relationship between tenths and hundredths, build on that foundation to have them practice expressing decimal fractions as the sum of a certain number of tenths and hundredths. The second full-page reference sheet uses tenths and hundredths grids to show how a given decimal fraction can be represented as a set of tenths and some extra hundredths.
After your students have explored with combining tenths and hundredths and decomposing fractions into separate tenths and hundredths, use the “I Have…Who Has?” card set to help reinforce those concepts. Each card presents a shaded hundredths grid. Students identify the fraction of the grid shaded, such as 82/100 , and then read an expression that uses tenths and hundredths, such as 3/10 + 8/100 . The student with the next card identifies the fraction (38/100 ) and then reads the next expression.
After your students have had practice with the game and cards, you can use the two pairs of assessment activities to check your students’ understanding of these concepts. The activities in each pair are formatted similarly but use different numbers, allowing you to use one as a pre-assessment and one as a post-assessment. However, you could use these activities in any way that suits your classroom routine or meets your students’ needs - homework, center assignments, paired practice, the list goes on.
For a fuller description and preview of the Grid Match-Up
resources, click here
On the Grid (Set A)
This set of task cards is designed for students who are beginning to explore with decimal notation for fractions. Each card presents the students with a grid divided into tenths or hundredths with a portion of the grid shaded. The students are asked to chose the equation (among four given) that shows the equivalent fraction and decimal name for the shaded portion of the grid.
When your students work on these cards or any other cards in this bundle, you may opt to have some or all of your students use base ten blocks to build each of the decimals represented by the shaded portion of the gird, using a flat for a whole, rods for tenths and units for hundredths. Have your students lay out a flat to be a constant representation of a whole, and then use the rods and units to build the shaded portion of the grid on the card. This use of a concrete representation, when paired with the visual model and numeric representations on the cards, can really help students build a strong foundation in decimal relationships.
Included among the printables are two full-page graphic reference sheets that illustrate key decimal concepts using the base ten grid model as a visual guide. Each sheet also features a number of open-ended questions that could serve as a springboard for a rich mathematical discussion about decimals. You might even use them as a writing prompt, having your students respond to the questions in their journals as a way to practice communicating clearly and completely in writing about their mathematical thinking.
The ten provided assessment activities can be used to evaluate student understanding of decimals. There are two full-page assessments and six half-page “exit ticket”-style activities. The two full page activities ask students to identify the fraction & decimal represented by a pre-shaded grid and then ask them to shade in a grid to match a given decimal. Four of the exit tickets will require your students to stretch their thinking by presenting grids different from the ones on the cards and asking them to either represent a decimal or identify how the grid matches a specific decimal. These four activities include a writing component, and a complete rubric (with suggestions of to look for in your students’ work) is included for these. The final four exit tickets give students six blank grids and ask them to represent a given decimal on the grids in six different way, a chance for you to see some of the divergent thinking in your class.
For a fuller description and preview of the On the Grid (Set A)
task crads and printables, click here
On the Grid (Set B)
The cards in this set present students with “decimal squares” – large square grids divided into hundredths – with portions of the grids shaded. The students need to then choose among four addition equations that use fractions as the addends as a decimal as the sum, identifying all of the equations that match the shaded portion of the grid. For this particular set of cards, there may be more than one equation on a given card that matches the gird. Some cards have just one correct answer, but others have two, three, or even four correct answers.
One of the provided resource sheets is a set of hundredths grids, nine grids that are divided intro hundredths. You can have your students use these grids as they work with the cards rather than having them use base ten manipulatives. As they read the equations on the cards, they can shade the grids to match the equations and then check whether their shaded portion matches the one on the card. If you use Decimal Squares® materials, which use red coloring for tenths and green coloring for hundredths, you may have them shade in the grids in the same way, using red for tenths and green for the hundredths. For instance, if a card’s expression reads 3/10 + 42/100 , they can shade in three tenths in red and forty-two hundredths in green. Using color coding in this manner can help your students more easily make connections to the other work they have done with decimals.
Also included among the printables is a full-page reference sheet that uses decimal grids to illustrate the relationship between tenths and hundredths and how a decimal can decomposed in a variety of ways into tenths and hundredths. There are three versions of the reference sheet, one in grayscale, one in color, and a third with blanks grids that you can have your students color code themselves.
The four provided assessment activities can be used to evaluate student understanding of adding tenths and hundredths in fractional form. The work the students are asked to do on the first pair of activities is similar to the questions presented on the task cards, making these activities are the perfect complement to the cards. The second pair of assessment activities ask students to shade in grids to match given expressions, create original expressions equivalent to the ones provided, and then communicate their thinking in writing. Each pair activities are formatted similarly but use different grids and numbers.
For a fuller description and preview of the On the Grid (Set B)
task crads and printables, click here
On the Grid (Set C)
The 32 cards in this set present a variety of questions – multiple-choice with only one answer, multiple-choice with more than one answer, short answer with only one answer, and short answer with multiple possible answers – as well as decimals represented on tenths and hundredths grids. For most cards, students are asked to compare a given number of tenths with a given number of hundredths, rather than comparing tenths with tenths and hundredths with hundredths. The majority of the cards require students to compare two quantities, but a few cards ask students to order three decimals, creating inequalities such as 0.09 < 0.3 < 0.50. Most of the decimals used on the cards are less than 1 whole, but some of the cards present models of decimals that use 1, 2, or even 3 wholes. The variety of question types and numbers used will keep your kids thinking as they work through the cards!
The printables include three graphic reference sheets that address decimal concepts. The first two reference sheets are half-page and full-page size, respectively, and are provided in two forms: one with grid models pre-shaded to match the numbers used as examples, and the other with blank grid models. Both versions address the same concepts and vocabulary (including equation
, and quantity
), but the version with blank grids allows for a degree of interactivity. Rather than simply gluing in the reference and reading it over, the students are actively involved in creating the resources, shading in the grids to match the numbers used as examples.
The third sheet is different than the first two in that I designed it not as a standard reference with rules and procedures, but as an interactive tool, providing a springboard for a class discussion and some journal writing about comparing decimals. This reference focuses on the concept that “comparisons are valid only when the two decimals refer to the same whole “ (4.NF.7). Have your students glue this sheet in their journal, project it using your computer or document camera, then work through the examples and questions. Have your students use the think-pair-share strategy to discuss their thinking prompted by the questions, and then respond in their math notebooks or math journals. This scaffolded approach to communication – student-to-student, followed by student-to-class, followed by student writing – is a great way to build students’ thinking about mathematical concepts, to involve all students in the communication process, and to provide a rich bank of ideas so that when it comes time to write, all students will have something substantive to write about.
The four provided assessment activities can be used to evaluate student understanding of comparing decimals. The first two assessment activities are both two pages in length and have problems like those on the task cards, making them an ideal follow-up to the cards. The second two assessment activities are open-ended presenting models of decimals and asking students to write as many different equations and inequalities as they can using the decimals. These activities are provided in two forms: a half-page version that includes sets of lines on which students can write their answers, as well as on a one-third page strip that can be stapled to notebook paper, allowing for students to have more room to show their thinking than the four lines on the half-page version. The pairs of worksheets are formatted similarly, and have similar types of questions, though the numbers on each are different.
For a fuller description and preview of the On the Grid (Set C)
task crads and printables, click here
On the Grid (Set D)
This is a bonus set of task cards – 32 cards plus and answer sheet and key – that is only available in this bundle. It can be used to extend students’ understanding of the concepts practiced on the other cards and/or to reteach concepts with which students still struggle.
For more practice with decimal and fraction concepts, please check out the other related resources I have available –
Dog-Gone Decimals - rounding decimals task cards & printables (set a)
Dog-Gone Decimals – decimal estimation task cards & printables (set b)
Decomposing Fractions - activity card & printables bundle
Flipping for Fractions activity card set
I hope your students enjoy these resources and are able to build their proficiency with decimals. – Dennis McDonald