Transcript SIMULTANEOUS OUTCOMES Adapted from the work of Art Costa

The ABC’s of Algebra:
Alignment, Buy-in, and Classroom Activities
PRESENTED BY
Leslie A. Texas
November 16, 2007
Keeping in Touch
• E-mail address:
[email protected]
• Phone:
502-253-1844 (office)
502-777-5312 (cell)
Session Objectives
Participate in a variety of
classroom activities that model
best practice
Determine how to design
assignments that are engaging
and require students to develop
higher order thinking skills
Southern Regional Educational Board
Identifying Gaps and Overlaps
Questions to address:
– Which readiness indicators are not being
addressed (gaps)?
– Which readiness indicators are
addressed by multiple grade levels
(overlaps)?
Engaging Activity
Traffic Jam
Questions:
What process skills were required in
the activity?
What content knowledge was required?
Cooperative Learning
Activity
• Match your puzzle-piece with other
similar pieces to form a problem to solve.
• As a learning group team, select a
strategy to solve the problem.
• Solve the problem as a team then submit
a solution to the class. Your team must
be able to justify the solution!!!
Problem #5
Find a path through the maze of numbers, starting at
“Enter” and ending at “Exit.” The value of the path is
determined by multiplying each number along the path.
You may move up, down, or right but not diagonally.
You can only cross a number once. Try to find a path
through the maze that results in 13,090. List the letters in
order for each box you cross to reach the exit. An
example, 7 x 13 x 2 would be DAB.
Enter
13 A
2B
3C
7D
11 E
5F
2G
17 H
15 I
Exit
DGHEF (prime
factorization of 13,090
or 2 · 5 · 7 · 11 · 17 )
Problem #9
Which set of factors of the number 420 has
the least possible sum? Which set of factors
of the number 420 has the greatest
possible sum? Be sure that the two sets of
factors both have a product of 420.
Answers: 19 and 421
Problem #11
Place one set of
parentheses on the left
side of the equals sign to
make the equation true.
32 + 4
2 x 8 – 5 + 12
32 + 4
2 x (8 – 5) + 12
4 =41
4 = 41
Problem #12
Find the greatest whole number
that meets all of the following
conditions:
> It is greater than 100.
> It is less than 200.
> It is 20 greater when rounded to
the nearest 100 than when rounded
to the nearest 10.
Answer: 184
Problem #13
Robin uses a rule to
create the
input/output table
shown. If Robin uses
her rule with an input
of 56, what will be her
output?
Answer: 171
y = 3x + 3
INPUT
OUTPUT
-2
1
3
7
17
56
89
-3
6
12
24
54
????
270
A Menu of Fun Math Problems
Source: Mathematics Teaching in the
Middle School
(NCTM)
February 2007 Issue
Possible Uses
• Pre-Assessment Exercise
• Introduce classroom procedures
(cooperative learning, word problems,
no “I don’t know’s accepted)
• Hook for new unit
• Review
• Exit Slip
Engaging Activity
Are you a Solution?
Literacy Strategies and
Assessment Practices
Improving Student Vocabulary
Write a math vocabulary word
on one side of the index card.
Improving Student VocabularyWord Illustrations
On the other side, illustrate
the concept (meaning) of your
word…using NO numbers or
letters.
What Math Words are
Illustrated Below?
Frayer Model
Essential
Characteristics
Examples
Non-Essential
Characteristics
Concept
Non-Examples
Frayer Model
Essential Characteristics
Non-Essential Characteristics
•Is a four sided figure
•Four sides have equal length
•Opposite angles are equal
•Perimeter is 2(l + w)
•Area is b x b
Examples
•Angles may or may not be right
•Length of sides can vary
•Diagonals may or may not be
equal in length
RHOMBUS
Non-Examples
Trapezoid
Square
Parallelogram with 4
equal sides
Triangle
Rectangle
Frayer Model
R-A-F-T
RAFT Examples for Math
Choose one item from each column
Role
Audience
Format
Topic
Zero
Whole Numbers
Campaign Speech
The importance of
the number 0
Percent
Student
Tip Sheet
Mental ways to
calculate percents
Prime Number
Rational Numbers
Instructions
Rules for divisibility
Parts of a Graph
TV Show Audience
Script
How to read a graph
Exponent
Jury
Instructions to the
jury
Laws of exponents
Acute Triangle
Obtuse Triangle
Letter
Explaining their
differences
Square Root
Whole Number
Love Letter
Explain Relationship
Repeating
Decimal
Set of Rational Numbers Petition
Prove you belong to
the set