21. @MathletePearcewww.tapintoteenminds.com Math Class
22. 1. Take Up Homework @MathletePearcewww.tapintoteenminds.com
Math Class
23. @MathletePearcewww.tapintoteenminds.com 2. Denitions,
Formulae, Procedures/Algorithms 1. Take Up Homework Math Class
24. @MathletePearcewww.tapintoteenminds.com 3. Examples 2.
Denitions, Formulae, Procedures/Algorithms 1. Take Up Homework Math
Class
25. @MathletePearcewww.tapintoteenminds.com 4. Homework 3.
Examples 2. Denitions, Formulae, Procedures/Algorithms 1. Take Up
Homework Math Class
26. Example 1 (a) List all combinations of three out of the
four colours: red, blue, white, and green.
27. Example 1 (a) List all combinations of three out of the
four colours: red, blue, white, and green. (b) Considering the
colour combinations as arrangements with indistinguishable
elements, check the number of combinations of three out of four
items.
28. @MathletePearcewww.tapintoteenminds.com Result
29. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Result
30. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math
31. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math
32. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math
33. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math Know:
34. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math Know: terminology
35. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math Know: terminology
procedures
36. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math Know: terminology
procedures
37. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math Know: Know: terminology
procedures terminology procedures
38. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math
39. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization
40. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization
41. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization
42. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization
43. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization Struggle
with unfamiliar problems
44. TEST QUESTION @MathletePearcewww.tapintoteenminds.com
45. TEST QUESTION @MathletePearcewww.tapintoteenminds.com
=
46. TEST QUESTION @MathletePearcewww.tapintoteenminds.com =
EXAMPLE
47. TEST QUESTION @MathletePearcewww.tapintoteenminds.com =
HOMEWORK
48. TEST QUESTION @MathletePearcewww.tapintoteenminds.com =
TEXTBOOK
50. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math
51. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization
52. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization Struggle
with unfamiliar problems
53. Good at Memorization Not Good at Memorization Struggle with
unfamiliar problems @MathletePearcewww.tapintoteenminds.com Two
Groups of Students UNFAIR
80. 1. Content of Interest to Teacher
@MathletePearcewww.tapintoteenminds.com trendunnoticed
81. @MathletePearcewww.tapintoteenminds.com 1. Content of
Interest to Teacher 2. Introduce skills today to solve a problem
tomorrow trendunnoticed
82. @MathletePearcewww.tapintoteenminds.com 1. Content of
Interest to Teacher 2. Introduce skills today to solve a problem
tomorrow 3. Dedicate time creating a resource trendunnoticed
83. @MathletePearcewww.tapintoteenminds.com 2. Introduce skills
today to solve a problem tomorrow 3. Dedicate time creating a
resource 4. Homework rather than real work trendunnoticed 1.
Content of Interest to Teacher
84. @MathletePearcewww.tapintoteenminds.com not just math
87. @MathletePearcewww.tapintoteenminds.com how I learned
88. 1. Content of Interest to Teacher
@MathletePearcewww.tapintoteenminds.com how I learned
89. @MathletePearcewww.tapintoteenminds.com 1. Content of
Interest to Teacher 2. Introduce skills today to solve a problem
tomorrow how I learned
90. @MathletePearcewww.tapintoteenminds.com 1. Content of
Interest to Teacher 2. Introduce skills today to solve a problem
tomorrow 3. Dedicate time creating a resource how I learned
91. @MathletePearcewww.tapintoteenminds.com 2. Introduce skills
today to solve a problem tomorrow 3. Dedicate time creating a
resource 4. Homework rather than real work how I learned 1. Content
of Interest to Teacher
92. How it ends @MathletePearcewww.tapintoteenminds.com
93. @MathletePearcewww.tapintoteenminds.com Eva Rinaldi from
Sydney Australia [CC BY-SA 2.0]
94. Not quite. @MathletePearcewww.tapintoteenminds.com
99. meaning. @MathletePearcewww.tapintoteenminds.com memorize
without
100. a natural @MathletePearcewww.tapintoteenminds.com
101. how he learned
@MathletePearcewww.tapintoteenminds.com
102. how he learned
@MathletePearcewww.tapintoteenminds.com
103. 1. Content of Interest to Teacher
@MathletePearcewww.tapintoteenminds.com how he learned
104. 1. Content of Interest to Teacher1. Content of Interest to
@MathletePearcewww.tapintoteenminds.com how he learned
105. @MathletePearcewww.tapintoteenminds.com how he learned 1.
Content of Interest to STUDENT
106. @MathletePearcewww.tapintoteenminds.com 2. Introduce
skills today to solve a problem tomorrow how he learned 1. Content
of Interest to STUDENT
107. @MathletePearcewww.tapintoteenminds.com 2. Introduce
skills today to solve a problem tomorrow how he learned 1. Content
of Interest to 2. Introduce skills today to solve a problem
STUDENT
108. @MathletePearcewww.tapintoteenminds.com how he learned
STUDENT1. Content of Interest to 2. Introduce skills today to solve
a problem TODAY
109. @MathletePearcewww.tapintoteenminds.com 3. Dedicate time
creating a resource how he learned STUDENT1. Content of Interest to
2. Introduce skills today to solve a problem TODAY
110. @MathletePearcewww.tapintoteenminds.com 3. Dedicate time
creating a resource how he learned STUDENT1. Content of Interest to
2. Introduce skills today to solve a problem TODAY 3. Dedicate
time
111. @MathletePearcewww.tapintoteenminds.com how he learned
STUDENT1. Content of Interest to 2. Introduce skills today to solve
a problem TODAY 3. Dedicate time PRACTICING
112. @MathletePearcewww.tapintoteenminds.com 4. Homework rather
than real work how he learned STUDENT1. Content of Interest to 2.
Introduce skills today to solve a problem TODAY 3. Dedicate time
PRACTICING
113. @MathletePearcewww.tapintoteenminds.com how he learned 4.
Homework rather than real work STUDENT1. Content of Interest to 2.
Introduce skills today to solve a problem TODAY 3. Dedicate time
PRACTICING
114. @MathletePearcewww.tapintoteenminds.com
115. @MathletePearcewww.tapintoteenminds.com
116. @MathletePearcewww.tapintoteenminds.com vs.
117. @MathletePearcewww.tapintoteenminds.com
http://www.vancouversun.com/life/From+geek+chic/6296707/story.html
Photograph by: Maggie Wong
146. QUESTION @MathletePearcewww.tapintoteenminds.com Mr.
Pearce stacks reams of paper vertically against a wall. If the
height of 5 reams is 24.75 cm and the height of the room is 273 cm,
how many reams of paper would he need to reach the ceiling?
147. QUESTION @MathletePearcewww.tapintoteenminds.com Mr.
Pearce stacks reams of paper vertically against a wall. If the
height of 5 reams is 24.75 cm and the height of the room is 273 cm,
how many reams of paper would he need to reach the ceiling?FUN,
RIGHT?
148. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual VISION
149. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual VISION
150. QUESTIONS
151. @MathletePearcewww.tapintoteenminds.com How many packs of
paper would it take to reach the ceiling? Stacking Paper
153. @MathletePearcewww.tapintoteenminds.com REQUEST
INFORMATION
154. @MathletePearcewww.tapintoteenminds.com How many packs of
paper would it take to reach the ceiling? Stacking Paper 273cm
24.75cm
155. AnswerKey:55.15 QUESTION
@MathletePearcewww.tapintoteenminds.com Mr. Pearce stacks reams of
paper vertically against a wall. If the height of 5 reams is 24.75
cm and the height of the room is 273 cm, how many reams of paper
would he need to reach the ceiling?
156. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual VISION
157. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual VISION
158. @MathletePearcewww.tapintoteenminds.com How many packs of
paper would it take to reach the ceiling? Stacking Paper
24.75cm
159. @MathletePearcewww.tapintoteenminds.com 24.75 cm
160. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5
reams
161. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams =
4.95 cm
163. @MathletePearcewww.tapintoteenminds.com 4.95 cm 273
cm
164. @MathletePearcewww.tapintoteenminds.com 4.95 cm = 273 cm
55.15 reams
165. How many packs of paper would it take to reach the
ceiling? @MathletePearcewww.tapintoteenminds.com How many packs of
paper will it take to reach a height of 273 cm? packs of paper
height 273cm 4.95 cm
166. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual VISION
167. @MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com A B short way long way
171. @MathletePearcewww.tapintoteenminds.com
@MathletePearcewww.tapintoteenminds.com Understand how to get there
the long way before taking shortcuts.
172. Making Connections
@MathletePearcewww.tapintoteenminds.com
173. How many packs of paper would it take to reach the
ceiling? @MathletePearcewww.tapintoteenminds.com How many packs of
paper will it take to reach a height of 273 cm? packs of paper
height 273cm 4.95 cm
174. How many packs of paper would it take to reach the
ceiling? @MathletePearcewww.tapintoteenminds.com How many packs of
paper will it take to reach a height of 273 cm? packs of paper
height 273cm 4.95 cm
175. @MathletePearcewww.tapintoteenminds.com packs of paper
height Independent Dependent 273cm 4.95 cm
176. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 2 9.9
packs of paper height Independent Dependent 4 19.8 40 198
177. @MathletePearcewww.tapintoteenminds.com 0 0 1 4.95 2 9.9
packs of paper height Independent Dependent 4 19.8 40 198
178. @MathletePearcewww.tapintoteenminds.com packs of paper
height:
179. @MathletePearcewww.tapintoteenminds.com packs of paper
height
180. @MathletePearcewww.tapintoteenminds.com packs of paper
height 24.75 cm 5 reams =
181. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams =
273 cm How Many?
182. @MathletePearcewww.tapintoteenminds.com 5 reams = x 24.75
cm 273 cm x ??
183. @MathletePearcewww.tapintoteenminds.com 5 reams = x 24.75
cm 273 cm x ??
184. @MathletePearcewww.tapintoteenminds.com 5 reams = x24.75
cm 273 cm x ??
185. @MathletePearcewww.tapintoteenminds.com 5 reams = x24.75
cm 273 cm x ?? 11.03
186. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams =
273 cm 11.03x x
187. @MathletePearcewww.tapintoteenminds.com 24.75 cm 5 reams =
273 cm 55.15 reams 11.03 x 11.03 x
188. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual VISION
189. The Next Day @MathletePearcewww.tapintoteenminds.com
190. @MathletePearcewww.tapintoteenminds.com How tall is the
table? 130.75cm 4.95 cm
191. @MathletePearcewww.tapintoteenminds.com
192. @MathletePearcewww.tapintoteenminds.com
193. Inquiry2.
194. Making Connections
@MathletePearcewww.tapintoteenminds.com
195. @MathletePearcewww.tapintoteenminds.com How tall is the
table?130.75cm packs of paper height Independent Dependent 5
packs130.75 5 4.95 cm
196. @MathletePearcewww.tapintoteenminds.com How tall is the
table?130.75cm packs of paper height Independent Dependent 5
packs130.75 5 4.95 cm Slope
197. @MathletePearcewww.tapintoteenminds.com How tall is the
table?130.75cm packs of paper height Independent Dependent 5 packs
130.755 4.95 cm Slope )x y (
204. @MathletePearcewww.tapintoteenminds.com How tall is the
table? packs of paper height Independent Dependent 5 packs 130.755(
)x y4.95 cm Slope 2 1515 130.75cm
205. @MathletePearcewww.tapintoteenminds.com How tall is the
table? packs of paper height Independent Dependent packs ( )x y 2
15151
206. @MathletePearcewww.tapintoteenminds.com packs of paper
height Independent Dependent packs ( )x y 2 1515 1 5 1 52 y = m x +
b 2 ( ) 1 pack
207. @MathletePearcewww.tapintoteenminds.com packs of paper
height Independent Dependent packs ( )x y 2 15151 55 2 2( ) 1 1y =
m + b( ) 5 1 pack
208. @MathletePearcewww.tapintoteenminds.com packs of paper
height Independent Dependent packs ( )x y 2 15151 5 5 2 2( ) 1 1y =
m + b( )5 1 pack
209. 1pack @MathletePearcewww.tapintoteenminds.com packs of
paper height Independent Dependent packs ( )x y 2 15151 5 5 2 2() 1
1y = + b()5 2
210. 1pack @MathletePearcewww.tapintoteenminds.com packs of
paper height Independent Dependent packs ( )x y 2 15151 5 5 2() 1
1y = + b()5 2 -2-2 2
211. 1pack @MathletePearcewww.tapintoteenminds.com packs of
paper height Independent Dependent packs ( )x y 2 15151 5 5 2() 1
1y = +b()5 2-2-22 3 3
212. 1pack @MathletePearcewww.tapintoteenminds.com packs of
paper height Independent Dependent packs ( )x y 2 15151 5 5 2() 1
1y = +b()5 2-2-2 2 3 3 y = 2x + 3
213. @MathletePearcewww.tapintoteenminds.com
214. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Memorization Not Good at Memorization Struggle
with unfamiliar problems
215. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Struggle with unfamiliar problems Good at Math Not Good at
Math
216. @MathletePearcewww.tapintoteenminds.com Two Groups of
Students Good at Math Not Good at Math Struggle with unfamiliar
problems
217. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual MATH
218. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual TASKS CONNECTIONS MATH
219. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual MATH TASKS INQUIRY CONNECTIONS
220. @MathletePearcewww.tapintoteenminds.com Interconnected
Visual and Concrete Contextual MATH TASKS CONNECTIONS
INQUIRYCONSOLIDATE
221. 3 ACT TASKS /3act-math@MathletePearce
www.tapintoteenminds.com @JustinLevack iTunes U
kylep.ca/curiousmath1p
283. @MathletePearcewww.tapintoteenminds.com Accurate
Assessment Assessment Day (Feb 10) I can solve with pythagorean
theorem visually
284. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually 90% Accurate
Assessment
285. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually Assessment
Day (Apr 7) Accurate Assessment 90%
286. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually 90%
Assessment Day (Apr 7) 60% Accurate Assessment
287. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually 90%
Assessment Day (Apr 7) 60% Accurate Assessment
288. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually 90%
Assessment Day (Apr 7) 60% YOU submit a screencast of a task: (May
5) Accurate Assessment
289. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually 90%
Assessment Day (Apr 7) 60% 88% YOU submit a screencast of a task:
(May 5) Accurate Assessment
290. @MathletePearcewww.tapintoteenminds.com Assessment Day
(Feb 10) I can solve with pythagorean theorem visually 90%
Assessment Day (Apr 7) 60% 88% YOU submit a screencast of a task:
(May 5) Accurate Assessment