Tech skill 

screen capture 
If you don't have another favorite screen capture tool, you should get to know the one that is built into Jing 
Goal: The goals this week are for you to
Resources
SMART
notebooks
with
manipulatives
for
base
10 blocks, base 5 blocks, Montessori stamp game stamps. Montessori checkerboard, and a
Montessori bead frame/abacus*, and
the
ALAbacus*.
Here is a site where
you can find printable
grid paper.
*Note that if you want to show me what you did on these abacuses, you can't just save the SMART Notebook, because the abacus is a Flash program that is embedded in the notebook, and not a graphic. If you want to use this and show me a picture of what you did, you will need to use some sort of screen capture device. The screen capture camera in the SMART Notebook toolbar works fine, as does the screen capture built into Jing.
Some
applets
you
might
find
useful: the base
10 blocks you can
glue together and break apart; the site that has the buiilding with blocks
applet, and the site with
the array multiplication applet (Rectangle Multiplication)
Multiplication
Mental math:
Watch: Associative law of multiplication and mental multiplication.
Read about other mental arithmetic strategies in the text book: 175178 (3rd edition pg. 172175) Mental Multiplication Investigation.
Assignment 38: In the textbook, p. 187 # 22 (3rd edition pg. 181 # 18) there are several multiplication problems to do by mental arithmetic. Choose 3 of them which you can do mentally in different ways (other than the standard algorithm). For each of the problems of your choice, tell the problem, the answer, and how you figured it out. July 8
Do first (base 5):Do: Use your base 5 manipulatives to figure out these base 5 multiplication problems: 31_{5} x 4_{5}; 31_{5} x 10_{5}; 31_{5} x 20_{5}; 31_{5} x 24_{5}
Watch: An organized way of solving these base 5 problems
Assignment 39: Show with manipulatives and numbers how to multiply 43_{5} x 32_{5} (your solution should have a base 5 blocks diagram and the number work to go with itif it were me, I would make the diagram in SMART Notebook, print it and add my writing to it, and then scan it back in). July 8
Paths to the standard algorithm:
Arrays and the expanded algorithm leading to the standard algorithm
Watch:
Arrays with manipulatives and the expanded algorithm
Arrays with manipulatives and 10's grids (another example, optional)
Sketched arrays
Expanded algorithm with more digits
Going from the expanded to the standard algorithm: example 1, example 2
Comparing the US and UK algorithms
Assignment 40: July 8
Lattice multiplication:Modeling and the standard algorithm:
Watch:
Montessori checkerboard work
Checkerboard and lattice multiplication
Array and lattice multiplication
Stamp game multiplication
Stamp game larger lattice, and connecting the 3 main algorithms
Watch:Error patterns July 11
Bead frame multiplicationa manipulative version of the standard algorithm
Another example of bead frame multiplication
Assignment:
Assignment 43: Figure out the error patterns and identify the alternate algorithms in the assignment D2L>Content>Assignments>Week 6: Multiplication error patterns and algorithms
Division
Do first:
Do and watch: try
out
some
problems
Assignment 44: Write about modeling multidigit division July
13
Alternate algorithms:
Watch:
Repeated subtraction division
Scaffolding division example 1, example 2 with connection to the standard algorithm
(page 198 (3rd ed. pg. 194) in Bassarear also explains the scaffolding algorithm, though with the partial quotients recorded above rather than to the right of the problem. I prefer the version where one records partial quotients to the right, since then I don't need to guess how much space to leave above my problem when I start. I have seen the version where one records to the right in several elementary textbooks.)Short division; Galley algorithm division (this web site also explains short division, and is an optional resource)
Assignment 45: Show how to divide 3 ways July 13
Why can't you divide by 0?
Watch:
Read: Bassarear pg 193 (3rd ed. pg. 188)
Assignment: July 15