Homework 8
Math 447 - Spring 2010
Due Friday, April 23, 2010
Note: Unless stated otherwise, all variables and constants denoted by letters are intended
to be integers.
#1. Let p be an odd prime. Show that
1
p
1 if p 1 (mod 4)
1 if p 3 (mod 4).
=
#2. Use G
RE344 CASE
STUDY AND
MOTIVATION
Dr. Wendy M. Smith
Agenda
Motivation:
Case Study: Focus on
Assessment Results
Homework
Motivation
What motivates you?
What motivates primary students?
What motivates intermediate students?
What forms of motivation have you
RE344:
COMPREHENSI
ON
Dr. Wendy M. Smith
AGENDA
Questions on Assignments, due dates, etc.
Discussion of article on print-referencing
Spelling/writing questions on padlet
Good-bye Round Robin
Comprehension strategies: Vocabulary
Homework
QUESTIONS: WHATS O
RE344: Kidwatching
Wendy M. Smith
Agenda
Questions
Good-Bye Round Robin: Group time
Comprehension activity from Tuesday
Kidwatching
Homework
Questions
What kind of data will you collect today?
How does this relate to your Action Research Project or
Fluency & Prior/Background
knowledge
Concept Development
Review of QRI & Action
Research
Dr. Wendy Smith
Agenda
Questions
on administering the QRI
Points
of information and Practice with
Objectives and Assessments
Review
the readings for Today from
Ins
Introduction to Com m on
Core M ath for Elem entary
Teachers
Ms. Michelle Morgan
3rd Grade Math
Introduction
Elementary and Early Childhood degree
from Millersville University
Graduated in 2009
Substitute teacher 1 year
Lead Teacher at Head Start of Y
RE344 FINAL PROJECTS
AND GOOD-BYE ROUND
ROBIN
WENDY M. SMITH
AGENDA
Good-bye Round Robin
Action Research Project: what will this look
like?
Case Study: what will this look like?
Homework
GOOD-BYE ROUND ROBIN: CHAPTER 1
Reading is language
Three cuei
RE344 FINAL PROJECTS
AND GOOD-BYE ROUND
ROBIN
WENDY M. SMITH
AGENDA
Good-bye Round Robin
Action Research Project: what will this look
like?
Case Study: what will this look like?
Homework
GOOD-BYE ROUND ROBIN: CHAPTER 1
Reading is language
Three cuei
RE 344: ASSESSMENT AND
INSTRUCTION OF READING I:
VOCABULARY & WRITING
Dr. Wendy M. Smith
Loyola University Maryland
Announcements & Agenda
Teaching Vocabulary
What are tier words & how/what words
should you teach?
Strategies for Teaching Vocabulary
Model:
Retelling & Paraphrasing
Language Experience
Approach
Dr. Wendy Smith
Loyola University Maryland
Agenda
Paraphrasing/Retelling
Language Experience Approach
Review of Analysis of Running
Records
Retelling Narrative Text
Teachers have traditionally
asses
Lesson Plan
Template
1. Lesson Plan Information
Subject/Course:
Grade Level:
Topic:
Name:
Date:
Time:
Length of Period:
2. Expectation(s)
Expectation(s) (Directly from The Ontario Curriculum):
Learning Skills (Where applicable):
3. Content
What do I want
Homework 3
Math 447 - Spring 2006
Due February 9, 2006
Note: Unless stated otherwise, all variables in this and all future homeworks are assumed
to be integers.
#1. Let a be any integer. Prove that the numbers 2a + 3 and 9a + 14 are relatively prime
(no m
Homework 1
Math 447 - Spring 2006
Due January 26, 2006
#1. Prove that
12 + 22 + + n2 =
n(n + 1)(2n + 1)
6
for all integers n 1.
#2. Prove that if
n = a0 k s + a1 k s1 + + as
is a representation of n to the base k, then 0 < n k s+1 1.
Hint: Use Theorem 1-2
Homework 2
Math 447 - Spring 2006
Due February 2, 2006
Note: Unless stated otherwise, all variables in this and all future homeworks are assumed
to be integers.
#1. Write the numbers 525, 86 and 321 to the base ve.
#2. Write the number (4321)6 to the base
Homework 3
Math 447 - Spring 2010
Due Febuary 5, 2010
Note: Unless stated otherwise, all variables in this and all future homeworks are assumed
to be integers.
#1. Using the techniques described in class, nd the greatest common divisor d of 7455 and
9443.
Homework 2
Math 447 - Spring 2010
Due January 29, 2010
Note: Unless stated otherwise, all variables in this and all future homeworks are assumed
to be integers.
#1. Prove that if a|b and b|c, then a|c.
#2. Prove that if a|b and b|a, then either a = b or a
Homework 1
Math 447 - Spring 2010
Due January 22, 2010
Note: Unless stated otherwise, all variables in this and all future homeworks are assumed
to be integers.
#1. Prove that if
n = a0 k s + a1 k s1 + + as
is a representation of n to the base k, then 0 <
Homework 4
Math 447 - Spring 2006
Due Friday, February 16, 2006
Note: Unless stated otherwise, all variables and constants denoted by letters are intended
to be integers.
#1. Which of the following congruences hold? Remember to show your work.
a) 12345678
Homework 4
Math 447 - Spring 2010
Due Friday, February 12, 2010
Note: Unless stated otherwise, all variables and constants denoted by letters are intended
to be integers.
#1. Which of the following congruences hold? Remember to show your work.
a) 12345678
Homework 7
Math 447 - Spring 2010
Due Friday, April 16, 2010
Note: Unless stated otherwise, all variables and constants denoted by letters are intended
to be integers.
The rst two problems on this homework set are to give two dierent proofs of the followi
Homework 6
Math 447 - Spring 2010
Due Friday, March 26, 2010
Note: Unless stated otherwise, all variables and constants denoted by letters are intended
to be integers.
#1. Consider the proof given in class that if (m, n) = 1, then (mn) = (m)(n). Explain
w
Homework 5
Math 447 - Spring 2010
Due Friday, March 19, 2010
Note: Unless stated otherwise, all variables and constants denoted by letters are intended
to be integers.
#1. a) Does 6 have an inverse modulo 25?
b) Does 12 have an inverse modulo 27?
c) Does
QRI: Using Data to
Guide Action
Research Planning
& Interventions
Dr. Margarita Zisselsberger
QRI
Review
QRI Scavenger Hunt
Word Identification in Isolation
Background Knowledge
Reading Fluency (Miscues- what is child
doing as a reader)
Reading Compr