number lines and rekenreks: tools that count!! presented by: angela j. williams amsti math...

Number Lines and Rekenreks:

Tools that COUNT!!

Presented by: Angela J. Williams

AMSTI Math Specialist

Number Lines

What can I do to prepare students to use a number line

flexibly?

Creating a Number Line

Use:

50 beads of 1 color

50 beads of a 2nd color

Alternate beads every 10.

Activities with the Number Line

Count the beads by 1s (forward and backward).

12 and 21 are two numbers. Find them on your number line and describe them to your partner.

Can you count from 16 to 31?

Activities with the Number Line

Where is 47? How many tens are in this number? How many ones?

Find 35. What is 10 more? 10 less?

Find 34. Is it closer to 30 or 40? How do you know?

Start at 3. Count forward by 10s. What is the last number you say?

Activities with the Number Line

Start at 82. Count back three 10s. Where do you end?

Find 36. How far are you from 100? Are you closer to 100 or 0?

Count by 5s. How many sets of 5 are in 100?

Activities with the Number Line

Find 53. Add 15. Where do you end?

53 + 15 = 68

Find 36. Find 61. What do you add to 36 to get to 61?

36 + ___ = 61

Add three 10s to 28. What number do you have?

28 + 30 = 58

Activities with the Number Line

Find 66. Take 31 away. Where are you?

66 – 31 = 35

Find 75. Find 58. How far apart are they?

75 – 58 = 17

Find 47. Find 19. What is the difference between them?

47 - ___ = 19

Research Says:

“The use of number lines increases students’ ability to use numbers flexibly, estimate, and visualize numbers and therefore increases number sense.”

(Wright, 2001)

Resources http://nzmaths.co.nz/resource/number-lines-

and-bead-strings?parent_node=

books.google.com/books?isbn=0826486878

http://www.smartfirstgraders.com/number-line.html

http://www.education.com/activity/article/numberlinegame_first/

If this is what I want….WHERE DO I START?

What the heck is a rekenrek?

How will a rekenrek help my students?

developing one-to-one correspondence ability to subitize

understanding of fives and tens composing/decomposing numbers

recognizing the structure of our base-ten system basic fact fluency

hierarchical inclusion (nestedness of numbers)

strategies for addition and subtraction

Let’s Make a Rekenrek!

Use:

10 beads of 1 color

10 beads of a 2nd color

Top row: 5 beads of 1st color.

5 beads of 2nd color.

Bottom row: 5 beads of 1st color.

5 beads of 2nd color.

Rekenrek Activity #1

MAKING 5 AND 10 VISIBLE

Rekenrek Activity #2

QUICK IMAGES

Rekenrek Activity #3

NUMBER SENSE STRATEGIES

Rekenrek Activity #4

MULTIPLE WAYS TO FIND A SUM

Rekenrek Activity #5

UNDERSTANDING DOUBLES

Rekenrek Activity #6

THINK ADDITION:MISSING ADDENDS

Resources http://bridges1.mathlearningcenter.org/medi

a/Rekenrek_0308.pdf

http://www.therekenrek.com/2013/

http://www.k-5mathteachingresources.com/Rekenrek.html

https://cesa5mathscience.wikispaces.com/file/view/Learning+to+Think+Mathematically+with+the+Rekenrek.pdf

http://www.k-5mathteachingresources.com/support-files/large10frames1-10.pdf