# Multiplication Facts Bloom Using Strategies - PowerPoint

Document Sample

Multiplication
Facts Using
Strategies

David McKillop
Making Math Matter, Inc.
Why should students
learn the number facts?
 They are the basis of all mental math
strategies, and mental math is the
most widely used form of computation
in everyday life
 Knowing facts is empowering
 Facilitates the development of other
math concepts
How is fact learning
different from when I
learned facts?
1. Facts are clustered in groups that can be
retrieved by the same strategy.

2. Students can remember 6 to 8 strategies
rather than 100 discrete facts.

3. Students achieve mastery of a group of
facts employing one strategy before
moving on to another group.
General Approach
For each cluster of facts that you are going to introduce, start
by showing students one of the facts and ask them to put up
student(s) to explain how they did it. This can lead to a
discussion of a variety of strategies from which you can
extract the one you will highlight. Students should understand
that they can use whatever strategy makes sense to them and
enables them to get an answer in a reasonable time frame.
You will be highlighting a specific strategy for each cluster but
students may use other ones. Therefore, during the
reinforcement activities when you ask students to explain their
strategy, you should be open to, and welcome, any strategy
that is reasonable. You don’t want to lose sight of the mission
to have students be flexible in their thinking. As well, you will
have students who know facts automatically without using a
strategy, so you should be open to “I just knew it.” when you
ask to explain how they did it. In fact, our long-term goal would
be automaticity of the facts for all students.
General Approach
   Introduce a strategy using association,
patterning, contexts, concrete materials,
pictures – whatever it takes so students
understand the logic of the strategy
   Practice the facts that relate to this strategy,
reducing wait time until a time of 3 seconds,
or less, is achieved. Constantly discuss
   Integrate these facts with others learned by
other strategies.
   IT WILL TAKE TIME!
Facts with 2s:
2 x ? and ? X 2
 Highlighted Strategy: Connect to

   Relate ? X 2 to 2 x ?
Practice the Facts
 Webs
 Dice games

 Card games

 Flash cards
Facts with 9s:
? X 9 and 9 x ?
   Highlighted                9 x 9 = 81
Strategy: Nifty            8 x 9 = 72
Nines Strategy:            7 x 9 = 63
Two Patterns -
is one less than the       5 x 9 = 45
number of 9s and           4 x 9 = 36
the two digits of the      3 x 9 = 27
Practice the Facts
   Calculator
Facts with 5s
   The Clock
Strategy: The
number of 5s is like
the minute hand on
the clock – it points
example, for 4 x 5,
the minute hand on
4 means 20
minutes; therefore,
4 x 5 = 20.
Practice Strategy
Selection
   Which facts can          3x5
use The Clock            5x9
Strategy?                8x2
   Which facts can          9x7
use the Nifty Nines
Strategy?                9x2
   Which facts can          2x5
use the Doubles          7x5
Strategy?                6x9
Facts with 0s
   Highlighted             If you have 6 plates
Strategy: The            with 0 cookies on
Tricky Zeros: All        each plate, how
facts with a zero        many cookies do
factor have a zero       you have?
product.

(Often confused with
0s)
Facts with 1s
   Highlighted               If you have 3 plates
Strategy: The No           with 1 cookie on each
plate OR 1 plate with 3
Change Facts:
Facts with 1 as a          3 cookies.
factor have a
product equal to the
other factor.
Facts with 3s
   Highlighted
Strategy: The
Double and One
More Set Strategy.
For example, for 3 x
6, think: 2 x 6 is 12
plus one more 6 is
18.
Facts with 4s
   Highlighted
Strategy: The
Double-Double
Strategy.
For example, for
4 x 6, think: double
6 is 12 and double
12 is 24.
The Last Nine Facts
   Possible Strategy:
Using helping facts:
   6x6                   6x6=5x6+6
   6 x 7 and 7 x 6
7x6=5x6+2x6
   6 x 8 and 8 x 6
6x8=5x8+8
   7x7
7x8=5x8+2x8
   7 x 8 and 8 x 7
8x8=4x8x2
   8x8
•   Some know 8 x 8 is
Have students             64 because of a
suggest strategies       chess board
for these.
•   What about 7 x 7?
Practice the Facts
 Flash cards
 Bingo

 Dice Games

 Card Games

 Fact Bee

 Calculators

DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 144 posted: 8/9/2012 language: English pages: 27
How are you planning on using Docstoc?