2nd Grade - Describe Patterns

 
     
 
     
 
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2nd
Statistics
Describe Patterns
Recognize, describe, and extend patterns and determine a next term in linear patterns (e.g., 4, 8, 12 ...; the number of ears on one horse, two horses, three horses, four horses).
Count by hundreds and write the numbers. Explore hundreds, tens, and ones. Find patterns for numbers through 1,000 by using a number chart. Identify three-digit numbers that come before, after, and between other numbers. Continue number patterns by counting on or counting back by hundreds or tens.
 

Sample Problems

(1)

Circle the best answer.


A pattern is ____________________


  1. a shape with four sides that are all equal

  2. something that repeats itself

  3. a unit of money equal to one


(2)

Tammy made a bracelet to give to her mother. This is how her bracelet looked. She used 1 red bead, 2 orange beads, 2 red beads, 3 orange beads, 3 red beads, 4 orange beads. Complete the pattern below that shows Tammy’s next 5 beads.


R O O R R O O O R R R O O O __ __ __ __ __


(3)

Circle the next two shapes that will continue the pattern.


_________





B.

(4)

Look over the numbers. Circle the sentence that describes the numbers.


463 146 283 126 593


The numbers are all odd numbers.


The numbers all have a 3 or 6 in the ones place.


The numbers are all greater than 100 and less than 600.


(5)

Fill in the missing blanks to complete the pattern.


XX O XX O XX O _____ _____ _____

Learning Tips

(1)

A pattern is something that repeats itself. Encourage your child to take his/her time when trying to solve patterns. The more closely your child looks at the pattern, the better he/she will be able to solve it. If your child is having trouble solving a pattern or telling what comes next, encourage your child to skip that pattern and return to it at a later time. He/she might see something new that was not seen before when looking at it for a second time.

(2)

Patterns can by found in everyday counting. Practice counting with your child. Say a number and have your child give the number that comes before or after the number that was said. You might say, “I am looking for the number that comes after the number 201.” Your child would respond by saying the number 202. You could also work on the concept of numbers that come in between by giving your child two numbers and having him/her give the number that comes between. (Ex. 159, _______, 161)

(3)

Using various objects around the house (crayons, markers, pencils, silverware, magnets, etc.), create patterns for your child to solve. For example, you might put down two crayons, a magnet, a marker, two crayons, a magnet, and then your child will have to figure out what two items come next in the pattern. Encourage them to use the objects to complete the pattern by placing a marker and a crayon in the row. Allow your child the opportunity to come up with his/her own pattern to solve.

(4)

When continuing number patterns by counting forward or back by hundreds or tens, your child may have trouble recognizing the correct patterns for sequences that are not multiples of 10. (Ex. 903, 913, 923, 933, 943, 953) Allow your child to use a calculator to add and subtract numbers. Your child will eventually pick up the concept and will not have a need for the calculator.

(5)

Introduce your child to a hundred’s chart. (An example of this chart can be found at the following website http://math.about.com/od/countin1/ss/100s-chart.htm.) Encourage your child to fill the numbers in on the chart. Have them look for patterns as they fill in each box. “How many numbers are added to each number as you move one space to the right?” (1) “Do the numbers become smaller or greater as your move to the left?” (smaller) “The numbers increase by how much as you move directly down a column?” (10)

Extra Help Problems

(1)

Write the ordinal numbers in order. The first one has been done for you.


1st , _________, _________, _________, _________, ________, _________, _________, _________, _________



3rd 7th 2nd 5th 9th 10th 4th 6th 8th


(2)

Write the ordinal numbers to fill in the missing blanks.


1st _______ _______ 4th 5th _______ _______ 8th _____ _____


(3)

Fill in the blanks by writing the missing numbers to complete the number sequence.


1 ______ 3 ______ 5 ______ 7 ______9 _______10 _______


(4)

Write the missing numbers.


41, 42, ______, 44, 45, ______, ______, 48, ______, 50

(5)

What is the pattern in the following number sequence?


100, 200, 300, 400, 500, 500, 600, 700, 800, 900, 1,000


counting by _________


(6)

Fill in the missing blanks to complete the pattern.


XX O XX O XX O _____ _____ _____


(7)

Follow the rule to complete each chart.


Add 1

308

_______

_______

_______

_______

_______

_______


(8)

Follow the rule to complete each chart.


Add 10

290

_______

_______

_______

_______

_______

_______


(9)

Follow the rule to fill in the missing numbers.


Add 1

445, 446, 447, _______, _______, _______, _______, ________


(10)

Follow the rule to fill in the missing numbers.


Add 10

222, 232, 242, _______, _______, _______, _______, ________


(11)

Fill in the blanks to continue each pattern.


105, 205, 305, ________, ________, _______, _______, _______


(12)

Fill in the blanks to continue each pattern.


110, 220, 330, ________, ________, _______, _______, _______


(13)

Make a pattern using two or three-digit numbers.

________, ________, _______, _______, _______, ________


(14)

Fill in the missing numbers on the number chart to complete the pattern.


401 ___ 403 404 ___ 406 407 ___ 409 410


411 412 ___ 414 415 416 ___ ___ 419 420


___ 422 423 ___ 425 426 427 428 ___ ___


431 ___ ___ 434 435 ___ ___ 438 ___ 440


441 ___ 443 444 ___ 446 ___ ___ 449 450


451 452 ___ ___ 455 ___ 457 458 459 ___


___ 462 ___ 464 ___ 466 467 468 ___ ___


471 472 473 474 475 ___ ___ 478 ___ 480


481 ___ ___ 484 ___ 486 ___ 488 ___ 490


___ 492 ___ 494 495 496 ___ 498 ___ 500


(15)

Use the number chart to solve each pattern. (Problems 15-17)


401 402 403 404 405 406 407 408 409 410


411 412 413 414 415 416 417 418 419 420


421 422 423 424 425 426 427 428 429 430


431 432 433 434 435 436 437 438 439 440


441 442 443 444 445 446 447 448 449 450


451 452 453 454 455 456 457 458 459 460


461 462 463 464 465 466 467 468 469 470


471 472 473 474 475 476 477 478 479 480


481 482 483 484 485 486 487 488 489 490


491 492 493 494 495 496 497 498 499 500




405, 415, 425, _______, _______, _______, _______, _______,

_______, _______


(16)

491, 482, 473, _______, ________, _______, _______, _______,

________, ________


(17)

500, 490, 480, _______, _______, _______, _______, _______, _______, _______


(18)

Use the number chart to solve each pattern. (Problems 19-20)


401 402 403 404 405 406 407 408 409 410


411 412 413 414 415 416 417 418 419 420


421 422 423 424 425 426 427 428 429 430


431 432 433 434 435 436 437 438 439 440


441 442 443 444 445 446 447 448 449 450


451 452 453 454 455 456 457 458 459 460


461 462 463 464 465 466 467 468 469 470


471 472 473 474 475 476 477 478 479 480


481 482 483 484 485 486 487 488 489 490


491 492 493 494 495 496 497 498 499 500




Using a green crayon put an X over all of the numbers that have a 5 in the ones place.


What is the pattern for the numbers that have an X?

____________________________________________


(19)

Using a red crayon put an O around all of the numbers that have a 7 in the tens place.


What is the pattern for the numbers that have an O?

___________________________________________________

(20)

Look over the numbers. Circle the sentence that describes the numbers.


463 146 283 126 593


The numbers are all odd numbers.


The numbers all have a 3 or 6 in the ones place.


The numbers are all greater than 100 and less than 600.


(21)

Draw the shape that comes next in the pattern.


_________


(22)

Sara made a bracelet to give to her friend. This is how her bracelet looked. She used 1 red bead, 2 yellow beads, 3 green beads, 1 red bead, 2 yellow beads, 3 green beads. What will be the colors of her next 6 beads? Write the colors on the line.


_______, _______, _______, ________, ________. ________


(23)

Tammy made a bracelet to give to her mother. This is how her bracelet looked. She used 1 red bead, 2 orange beads, 2 red beads, 3 orange beads, 3 red beads, 4 orange beads. Complete the pattern below that shows Tammy’s next 5 beads.


R O O R R O O O R R R O O O __ __ __ __ __


(24)

Circle the next two shapes that will continue the pattern.


_________





B.

(25)

Circle the best answer.


A pattern is ____________________


  1. a shape with four sides that are all equal

  2. something that repeats itself

  3. a unit of money equal to one


 

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