hundreds chart jigsaws - anita chin€¦ · jigsaw puzzles: a class set typically consists of 6-12...

Anita Chin Mathematics Consultancy

E [email protected] E [email protected]

W www.mathsconsultant.com.au W www.tta.edu.au/contributors/10/anita-chin

fb www.facebook.com/achinmaths Anita Chin BSc/DipEd, MEd Mathematics Consultant K-10

March 2015 BLM

Hundreds Chart Jigsaws : Practicing place value concepts

Contents

Teaching tips and instructional sequence . . . . . . . . . . . . . . .

1 to 100 Hundreds Chart (baseboard front) BLM . . . . . . . .

Blank Hundreds Chart (baseboard back) BLM . . . . . . . . . . .

-49 to 50 Hundreds Chart (baseboard front) BLM . . . . . . .

1 to 100 Strips Jigsaws BLMs. . . . . . . . . . . . . . . . . . . . . . . . . .

1 to 100 Jigsaws BLMs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

300 to 400 Jigsaws BLMs . . . . . . . . . . . . . . . . . . . . . . . . . . .

800 to 900 Jigsaws BLMs . . . . . . . . . . . . . . . . . . . . . . . . . . .

0.1 to 10 Jigsaws BLMs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

0.01 to 1 Jigsaws BLMs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

-49 to 50 Jigsaws BLMs . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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Activity teaching tips

The hundreds chart / number board

“A number board can be thought of as a number track that has been arranged into multiple rows of equal length. The

number on each tile in a number board indicates the distance from zero to the end of that tile.... Zero is not a measurable

distance or quantity, so it is not represented on a number board” (Irons & Burnett, 2009, p3).

The hundreds chart is a well known visual model that provides a structure for numbers, usually 1-100. It “has a multitude of

uses for developing counting, patterning, base ten, addition and subtraction, and multiplication and division fact knowl-

edge” (Bobis, Mulligan & Lowrie, 2013, p.214).

Purpose

This activity is designed to give students practice with using place value concepts by reconstructing a hundreds chart to:

assist with counting and ordering in Year 1(BOSNSW, 2012, p.68)

identify number sequences on number charts in Year 2 (BOSNSW, 2012, p.70)

Furthermore, it allows students to ’see’ that when you move left and right only the ones digit (1 to 100 chart) or the tenths

digit (0.1 to 10 chart) or the hundredths digit (0.01 to 1 chart) changes. But when you move up and down, only the tens

digit (1 to 100 chart) or the ones digit (0.1 to 10 chart) or the tenths digit (0.01 to 1 chart) changes. This leads to strengthen-

ing an understanding of counting in tens, ones, tenths and hundredths (1) and standard partitioning.

When to use

The activity can be ‘plugged in’ at any time of the school year once students have the required pre-requisite skills.

Duration

30 minutes when introduced to the whole class for the first time.

10 minutes as a Daily Number Sense activity or a lesson break activity.

Student grouping

Individual, student centred, self paced, self checking.

This activity is intended to be used during a whole class differentiated lesson.

In K-4 it may be used with all 30 students. However in grades 5-8, it may be

used for intervention. As it is self paced and targeted to individual students learning needs, there is no need to seat

students of similar ability together.

If you are not using the jigsaws with the whole class (E.g. other students may be using Hundreds Chart Worksheets or

Hundreds Chart Window Spins) seat students using the jigsaws resource in the same physical space in the classroom to

assist with classroom management.

Equipment for each student

A hundreds chart baseboard (double sided): Either ’1 to 100 and blank’ OR ‘–49 to 50 and blank’.

A jigsaw puzzle suited to their ability level, then a jigsaw puzzle that comes next in the developmental sequence.

Note: Sets of 6 jigsaws of the same type and 6 baseboards can be commercially purchased from Anita Chin Mathematics Consultancy.

Price ~ $20.00 . Release date ~ November, 2015. E [email protected]

Equipment for the teacher

Initial teacher introduction and demonstration requires:

Concrete material version of a hundreds chart. E.g. 1-100 flip array hundreds chart or

1-120 flip array number chart (65 x 55) cm as shown in the picture opposite.

Available from Anita Chin Mathematics Consultancy, E [email protected]

Interactive whiteboard software for hundreds charts. E.g. Flare: Number Board by Origo

Education.

Available as an annual online subscription from Origo Education, W www.origoeducation.com/flare

Online demonstration lessons

Video footage (80 mins, 9 videos) of this activity in action in K-6 classrooms is available through

my online course Differentiating Instruction: Place Value Concepts, K-6. For more information

about this whole school approach to professional learning six-month course, visit my Teacher

Training Australia home page www.tta.edu.au/contributors/10/anita-chin

2

Hundreds Chart Jigsaws: Teaching Tips © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

mailto:[email protected]?subject=Hundreds%20Chart%20Jigsaws%20resourcemailto:[email protected]?subject=Number%20Board%201-120%20Flip%20Arrayhttp://www.origoeducation.com/flarehttp://www.tta.edu.au/contributors/10/anita-chin

Creating and storing the jigsaw puzzles and baseboards

Jigsaw puzzles: A class set typically consists of 6-12 jigsaw puzzles of each relevant set (there are 14 different sets, A - N).

Print your required quantity of the relevant jigsaw set onto A4 coloured paper. Use a different coloured sheet of paper

for each jigsaw to assist with keeping all 10 / 23 pieces of each separate puzzle together that are in your class set. If

you do not have a large range of coloured paper, simply mark the back of each jigsaw piece with a unique identifier

such as drawing different shapes on the back of each puzzle or drawing a in a different colour for each puzzle.

Laminate then cut out the jigsaw along the bolded lines.

Place each jigsaw into it’s own separate snap lock bag (16 x 10) cm. Label each bag according to the set E.g. Set C

Place all separate jigsaws from the same set into one snap lock bag (22 x 25) cm to make the class set. Label the bag

with the set name, title, and teacher’s name E.g. Set C '1 to 100 Hundreds Chart Jigsaw: All Numbers'. Miss Chin.

Store all your different class sets in one large snap lock bag (27 x 33) cm. Label as ‘Hundreds Chart Jigsaw Puzzles’.

Baseboards: You will require one baseboard per student.

Print your required quantity of the relevant baseboards onto white paper:

‘1 to 100 base board’ Print ‘1 to 100 Hundreds Chart’ (page 4) back-to-back with ‘Blank Hundreds Chart’ (page 5).

‘-49 to 50 base board’ Print ‘-49 to 50 Hundreds Chart’ (page 6) back-to-back with ‘Blank Hundreds Chart’ (page 5).

Optional: As shown in the photos, I trim then glue the white hundreds charts onto coloured paper to create a border.

Cut off excess paper at the bottom of the page then laminate each baseboard.

Store all your baseboards in one large snap lock bag (27 x 33) cm. Label as ‘Hundreds Chart Boards’.

Activity instructional sequence The differentiated jigsaw puzzles

There are 14 developmentally sequenced jigsaw puzzles labelled as sets A-N:

Set A '1 to 100 Hundreds Chart Jigsaw: Horizontal Strips' suitable for K-1.

Set B '1 to 100 Hundreds Chart Jigsaw: Vertical Strips' suitable for K-1.

Set C '1 to 100 Hundreds Chart Jigsaw: All Numbers' suitable for Y1.

Set D '1 to 100 Hundreds Chart Jigsaw: Missing Numbers' suitable for Y1.

Set E '301 to 400 Hundreds Chart Jigsaw: All Numbers' suitable for Y2-3.

Set F '301 to 400 Hundreds Chart Jigsaw: Missing Numbers' suitable for Y2-3.

Set G '801 to 900 Hundreds Chart Jigsaw: All Numbers' suitable for Y2-3.

Set H '801 to 900 Hundreds Chart Jigsaw: Missing Numbers' suitable for Y2-3.

Set I '0.1 to 10 Hundreds Chart Jigsaw: All Numbers' suitable for Y4.

Set J '0.1 to 10 Hundreds Chart Jigsaw: Missing Numbers' suitable for Y4.

Set K '0.01 to 1 Hundreds Chart Jigsaw: All Numbers' suitable for Y4-5.

Set L '0.01 to 1 Hundreds Chart Jigsaw: Missing Numbers' suitable for Y4-5.

Set M '-49 to 50 Hundreds Chart Jigsaw: All Numbers' suitable for Y6-7.

Set N '-49 to 50 Hundreds Chart Jigsaw: Missing Numbers' suitable for Y6-7.

Allow students to select their own level of difficulty for their entry point jigsaw. Then move

students forward by following the developmental sequence of jigsaws.

Instructional sequence

Hand out the relevant baseboard to each student.

Hand out the first jigsaw to students. Start by moving around the room with the easiest

set selected by students (E.g. Set C), then move around the room again and hand out

the next set (E.g. Set D), then the next set. This assists with monitoring which students are

working at which level of difficulty.

Students first complete their jigsaw puzzle by matching the numbers onto the numbered side of the baseboard.

Students then remove all the pieces, turn over the baseboard to the blank side, and complete the puzzle again.

OBSERVATIONAL ASSESSMENT. This is when teachers can observe whether students:

- look for the piece that has a 1 on it and places it on the board, then they look for the piece that has a 5 on it etc.;

- pick up any piece (E.g. With 74 on it) and places it on the board by counting;

- pick up any piece (E.g. With 74 on it) and places it on the board by moving down the 4th column to the eighth row.

References

Bobis, J., Mulligan, J. & Lowrie, T. (2013). Mathematics for children: Challenging children to think mathematically. Frenchs

Forest, NSW: Pearson.

Board of Studies NSW (2012). NSW Mathematics K-10 Syllabus for the Australian Curriculum. Sydney: Author.

Irons, C., & Burnett, J. (2009). Flare: Number board. Brisbane: Origo Education. 3

Hundreds Chart Jigsaws: Instructional sequence © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

1 to 100 Hundreds Chart

© 2015 Anita Chin Mathematics Consultancy

4

Hundreds Chart Jigsaws: Baseboard front (1 to 100 chart) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

Blank Hundreds Chart


5

Hundreds Chart Jigsaws: Baseboard back (blank chart) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

-49 -48 -47 -46 -45 -44 -43 -42 -41 -40

-39 -38 -37 -36 -35 -34 -33 -32 -31 -30

-29 -28 -27 -26 -25 -24 -23 -22 -21 -20

-19 -18 -17 -16 -15 -14 -13 -12 -11 -10

-9 -8 -7 -6 -5 -4 -3 -2 -1 0

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

-49 to 50 Hundreds Chart


6

Hundreds Chart Jigsaws: Baseboard front (-49 to 50 chart) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

1 to 100 Hundreds Chart Jigsaw: Horizontal Strips

7

Hundreds Chart Jigsaws: 1 to 100 horizontal strips © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

Instructions for making a set of jigsaws (approx. 6 to 12 per class)

Number of jigsaws to make: ________ Set of jigsaws are for (teacher’s name and class): ____________________________________

Different coloured pages to photocopy each jigsaw on: ___________________________________________________________________

____________________________________________________________ Pages to be laminated by: _________________________________

Each jigsaw to be cut up along the bold lines and placed into a separate snap lock bag (16 x 10) cm by: ____________________

All jigsaws to be placed into one labelled snap lock bag (22 x 25) cm to make the class set by: ______________________________

set

A

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

1 to 100 Hundreds Chart Jigsaw: Vertical Strips

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Hundreds Chart Jigsaws: 1 to 100 vertical strips © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

B







1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

1 to 100 Hundreds Chart Jigsaw: All numbers

9

Hundreds Chart Jigsaws: 1 to 100 (all numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

C







5 10

12 19

21 24 26

32 37

44 49

53 56 58

61 64

74 78

81 87 90

93 96

1 to 100 Hundreds Chart Jigsaw: Missing numbers

10

Hundreds Chart Jigsaws: 1 to 100 (missing numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

D







301 302 303 304 305 306 307 308 309 310

311 312 313 314 315 316 317 318 319 320

321 322 323 324 325 326 327 328 329 330

331 332 333 334 335 336 337 338 339 340

341 342 343 344 345 346 347 348 349 350

351 352 353 354 355 356 357 358 359 360

361 362 363 364 365 366 367 368 369 370

371 372 373 374 375 376 377 378 379 380

381 382 383 384 385 386 387 388 389 390

391 392 393 394 395 396 397 398 399 400


11


set

E







303 307 310

314

322 325 328

336 340

341 344 347

352 359

363 365

377 379

384 388

391 393 396


12


set

F







801 802 803 804 805 806 807 808 809 810

811 812 813 814 815 816 817 818 819 820

821 822 823 824 825 826 827 828 829 830

831 832 833 834 835 836 837 838 839 840

841 842 843 844 845 846 847 848 849 850

851 852 853 854 855 856 857 858 859 860

861 862 863 864 865 866 867 868 869 870

871 872 873 874 875 876 877 878 879 880

881 882 883 884 885 886 887 888 889 890

891 892 893 894 895 896 897 898 899 900


13


set

G







802 808

811 814 817

825 830

833 837

842 846 848

851 855

867 870

872

883 885 889

894 897 900


14


set

H







0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0

2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0

3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0

4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0

5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0

6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0

7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8.0

8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9.0

9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10.0

0.1 to 10 Hundreds Chart Jigsaw: All numbers

15

Hundreds Chart Jigsaws: 0.1 to 10 (all numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

I







0.3 0.9

1.1 1.6 2.0

2.7

3.4 3.8

4.1 4.6 5.0

5.2 5.5 5.9

6.3 6.8

7.5 7.7

8.2 8.4

9.1 9.5 9.9

0.1 to 10 Hundreds Chart Jigsaw: Missing numbers

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Hundreds Chart Jigsaws: 0.1 to 10 (missing numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

J







0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20

0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29 0.30

0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.40

0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.50

0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.60

0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.70

0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 0.80

0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.90

0.91 0.92 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.00

0.01 to 1 Hundreds Chart Jigsaw: All numbers

17

Hundreds Chart Jigsaws: 0.01 to 1 (all numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

K







0.04 0.07

0.13 0.18

0.22 0.25 0.30

0.31 0.36 0.39

0.43

0.54 0.60

0.62 0.65 0.67

0.71 0.76 0.79

0.83

0.92 0.96 0.98

0.01 to 10Hundreds Chart Jigsaw: Missing numbers

18

Hundreds Chart Jigsaws: 0.01 to 1 (missing numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

L







-49 -48 -47 -46 -45 -44 -43 -42 -41 -40

-39 -38 -37 -36 -35 -34 -33 -32 -31 -30

-29 -28 -27 -26 -25 -24 -23 -22 -21 -20

-19 -18 -17 -16 -15 -14 -13 -12 -11 -10

-9 -8 -7 -6 -5 -4 -3 -2 -1 0

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

-49 to 50 Hundreds Chart Jigsaw: All numbers

19

Hundreds Chart Jigsaws: -49 to 50 (all numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

M







-48 -44 -41

-39 -31

-26 -24

-19 -12

-7 0

5 8

12 16 19

21 23 30

32 35 38

47

-49 to 50 Hundreds Chart Jigsaw: Missing numbers

20

Hundreds Chart Jigsaws: -49 to 50 (missing numbers) © 2015 Anita Chin Mathematics Consultancy www.mathsconsultant.com.au

set

N







hundreds chart jigsaws - anita chin€¦ · jigsaw puzzles: a class set typically consists of 6-12...

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