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The Big Book of Times Tables Communicator Classroom Templates

Big Book of Communicator Times Table Templates is a collection of images that allow the teacher to guide student through five different ways to practice standard multiplication facts, and to do so using only a minimum of paper. The self check feature makes the templates center-friendly as well, as provide many ways to assist the teacher in differentiating instruction. Activities that suggest themselves in using the Times Table templates include work with arrays, groups, function machines, and of course, traditional practice sheets. This book is divided into five sections. Fact Recall This section provides the traditional sets of fact drill sheets. They can be used diagnostically, by a particular times table or by administering mixed sets of problems. In each section, there are two practice sheets with answers for each table on the reverse side. Each sheet contains 25 problems. There are also 10 mixed sets, each with 25 problems and answers on the reverse side for additional practice. Array Multiplication The "Array Multiplication" section is provided so that students have an opportunity to practice multiplication facts by applying the concept of arrays. Students should use a Communicator® clearboard to complete a generic template of arrays, and then review their answers using the selfcheck sheet. There are two sets of arrays for each fact family. One set shows arrays with the row held constant, while the other shows arrays with the column held constant. There is also a section featuring mixed sets of arrays by table that can be completed by placing the Communicator® directly on the sheet and checking it with the answers provided on the next page. The final sheets provide sets of array problems with mixed facts. Group Multiplication This section provides times table fact sets containing 10 problems each that present multiplication problems using "groups of things" (circles and dots). Students use the Communicator® clearboard to record both the fact and the product, and then refer to the self-check on the next page. At the end of the section, there are mixed sets of multiplication problems using "groups of things." Function Machines This section provides practice and recall using the concept of a function machine. There are eight different times table sets, each with the input values from 1 through 12, arranged in a variety of sequences. Students place a Communicator® on top of the input/output table, record the fact table they wish to practice, and then complete the output column by placing the correct product in the box. The answers can be self-checked on the next page. Resources and Games This section offers templates with blank multiplication tables, which are best used with the Communicator® clearboard. These templates allow teachers to assess the entire class' understanding easily and effectively. There is also a traditional multiplication table included, along with several games and activities. Teachers are encouraged to continue using their own sets of games as well.

20 © 2009 by Lawrence Educational Services

Big Book of Communicator Classroom Templates Sampler

Samples from the Big Book of Times Tables Communicator Classroom Templates

Samples and Directions for Use Fact Recall sheets This section provides sets of 25 problems for each times table and represents the traditional drill sheet. They are designed to be used to determine that a student has mastered that particular times table or to identify the concept which requires additional study. The book contains two practice sheets, including answers, for each times tables from 1 to 12. There is also a set of mixed facts sheets designed to assess students' mastery of the entire scope of multiplication facts for the numbers 1 through 12. The example included here is from one of the mixed sets of problems. To use this with your class, copy the next two pages back to back on a sheet of paper. Have students place the Communicator® on top of the sheet without answers and record the product of each problem by writing directly on the Communicator®. When an allotted period of time is over, have students turn the sheet over and position the Communicator® so the products for each problem can be checked. For additional work or review of a set of facts, the Array, Group and Function Machine sheets can be used.

(Reproducible template included at the end of this brochure.)

(Reproducible template included at the end of this brochure.)

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Samples from the Big Book of Times Tables Communicator Classroom Templates

Using the Array Multiplication Templates

Two blank "Array Fact Generators" are included in the template book. Students should insert the template into Communicator® clearboard and then write each problem and its product, starting with the number 1 and moving across in the space provided at the bottom of each grid. They should then outline the array that represents the fact. One generator is for rows, the other is for columns. When the sheet is finished, students place the Communicator® on top of the row or column generator for that fact table and check their answers. This example shows two grids for the number 8. Because 8 × 1 = 8 means 8 rows and 1 column, and because 8 × 7 means 8 rows and 7 columns, the arrays would look like the grids at the right . When students have created all the arrays for a fact table, they can check their answers by placing the Communicator® on top of the correct set of arrays.

Rows for the Number 8 8 Rows 8 Rows 1 Column 7 Columns

8×1=8

8 × 7 = 56

Rows for the Number 1 1 Row 6 Rows 8 Columns 8 Columns

1×8=8

6 × 8 = 48

The next example shows how to complete the 8 times table by column when the column is equal to 8. Since 1 × 8 = 8 means 1 row and 8 columns, and because 6 × 8 means 6 rows and 8 columns, the array grid for 6 × 8 = 47 would look like the grid on the right. When students have created all the arrays for the fact table, they can check the answers by placing the Communicator® on top of the correct table and row or column array generator. For students who are just developing an understanding of multiplication, each fact table should be completed by rows and columns. After understanding is established, they can practice with the additional sheet for each fact table that includes mix the row column interpretation. To complete the sheets included in this booklet, have students place the Communicator® on top of the array generator to record the problem and the product as well as the outline of the array for the fact. The answer sheet includes problems for the 8 times table where the column is held constant. Then have them position the Communicator® on top of the answer sheet and check the answers.

22 © 2009 by Lawrence Educational Services

Big Book of Communicator Classroom Templates Sampler

Samples from the Big Book of Times Tables Communicator Classroom Templates

The Table as Groups of Things Another way for students to see the multiplication table as a storage house of facts is to have them think of the numbers on the left as sets of circles of groups and the number across the top as dots in the circle or elements in a group. The square in the table keeps track of the total number of dots in the entire set of circles or the total number of elements in a set of groups. The model below would represent 3 groups of 8 or 3 circles each with 8 dots in them. Notice that in the first and third examples on the right, there are 8 circles each with a certain number of dots in them. Therefore, the problems are written as 8 groups of 3 equal 24, or 8 circles each with three dots in them equals a total of 24 dots. Finally, 8 groups of 6 which equal 48, or 8 circles each with 6 dots in them equals a total of 48 dots.

8×3=

5×8=

8×6=

7×8=

10 × 8 =

In examples 2, 4 and 5, however, the number of dots in each of the circles is 8. Therefore the problems are written as 5 groups of 8, 7 groups of 8, and 10 groups of 8. The multiplication table representing these facts is shown below. Keep in mind that the number of circles is indicated by the numbers on the left of the table and the number of dots in each table is represented by the numbers across the top of the table. There are two sets of group problems for each fact table. Students use the Communicator® clearboard to record the problem and the product for each set of circles.

Number of dots in the circle

1

2

3

4

5

6

7

8

9

Number of groups or circles

1 2

Example 1: 8 × 3 = 24, or 8 groups of 3 Example 2: 5 × 8 = 40, or 5 groups of 8 Example 3: 8 × 6 = 48, or 8 groups of 6 Example 4: 7 × 8 = 56, or 7 groups of 8 Example 5: 10 × 8 = 80, or 10 groups of 8

3 4 5 6 7 8 9 10

40

56 24 48

80

They then self-check the answers by placing the Communicator® on an answer sheet which is located on the next page. There is also 10 sets of mixed groupings problems that intertwine all different facts together. Have students place the Communicator® on top of the sheet and write the problem and the product in the blank provided. Then have students turn the page over and align the Communicator® appropriately over the answer sheet to check their responses.

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Samples from the Big Book of Times Tables Communicator Classroom Templates

Function Machine Fun This section of templates once again interprets multiplication as groups of things. To complete these problems, students place a Communicator® clearboard on top of a function machine template, choose a fact table with which to work, and then multiply each of the input numbers times the fact table chosen and place the product in the output column. Each function machine can be used 10 times, once for each times table. The example below shows how Machine G would be used for the 8 times table using Function Machine G. Three step completion process:

Machine G Machine G

×8

Step 1:

Students place a Communicator clearboard on top of the function machine and record × 8 in the box below the machine name and then use the output column to indicate the products.

®

Input 3 5 7 4 9 1 10 2 6 8

Output

Input 3 5 7 4 9 1 10 2 6 8

Output

24 40 56 32 72 8 80 16 48 64

Step 2A:

Function Machine G

To check the work, the student finds the appropriate function machine answer key and aligns a blank sheet of paper to the left of the column indicating the table being checked, in this case to the left of 8.

1 3 5 7 4 9 1 2 6 8

2 3 4 5 6 7 8 9 6 9 12 15 18 21 24 27 10 15 20 25 30 35 40 45 14 21 28 35 42 49 56 63 8 2 4 12 16 20 24 28 32 36 3 6 4 8 5 6 7 8 9 18 27 36 45 54 63 72 81

10 30 50 70 40 90 10 20 60 80

10 20 30 40 50 60 70 80 90 100 10 12 14 16 18 12 18 24 30 36 42 48 54 16 24 32 40 48 56 64 72

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Big Book of Communicator Classroom Templates Sampler

Samples from the Big Book of Times Tables Communicator Classroom Templates

Step 2B: Blank paper is aligned to display the column for the times table that is being checked, in this case the eight times table.

The Communicator® Clearboard

Machine G

×8 Function Machine G

1 3 5 7 4 9 1 2 6 8

Step 3:

2 3Input 5Output 7 8 9 4 6 6 9 312 15 24 21 24 27 18 10 15 520 25 40 35 40 45 30 14 21 728 35 56 49 56 63 42 8 2 4 12 416 20 32 28 32 36 24 3 6

14

10 30 50 70 40 90 10 20 60 80

18 27 936 45 72 63 72 81 54 5

86

7

8

9

10 20 30 10 50 80 70 80 90 100 40 60

28

10 16 14 16 18 12

12 18 624 30 48 42 48 54 36 16 24 832 40 64 56 64 72 48

The Communicator® clearboard is placed on the blank paper and aligned to so the answers can be checked. Function machine work should be completed for practice purposes after the array and grouping concepts are understood. The function machine included for practice is Function Machine G. Copy the sheets. Tell students the times table you want to complete and have them record the table name in the top blank. After they complete the sheet, have them place a blank piece of paper before the appropriate column. Place the Communicator® on top of the sheet and check your answers.

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Sample lesson on Pages 20 21. Big Book of Communicator Classroom Templates Sampler © 2009 by Lawrence Educational Services 45

Sample lesson on Pages 20 21.

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Sample lesson on Page 22.

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Sample lesson on Page 23.

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Sample lesson on Pages 24 25. Big Book of Communicator Classroom Templates Sampler © 2009 by Lawrence Educational Services 51

Sample lesson on Pages 24 25.

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Big Book of Communicator Classroom Templates Sampler

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