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Hero in Disguise

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Hero in Disguise
Spring 2013

Modeling: Numeration and Operations
Guide for Final Exam

Students should expect about 35 to 40 multiple-choice items and approximately 10 modeling and open-ended questions. [Bring Scantron to Exam]

Modeling on Final Exam:
Base Ten Blocks Multi-Base Blocks
Attribute Blocks Miniature Cubes

Recommended Study Resources: Pre and Early Number Assignment and associated note sections, Midterm Review Activity, Take-Home Quiz #2, Compact Notes covering Addition [Pages 112-116]/ Subtraction [122-125]/ Multiplication [126-132]/ Division Notes [Pages 133 -137], Thinking Strategy review Activity connected to pages 174-185 and 206-212. [Be familiar with these notes pages 174-185 and 206-212.]

Topics for Review:
1. Set Theory (Union/ Intersection/ Complement/ Venn Diagrams with Two and Three Sets) – Attribute Blocks
2. Numeration
a. Be familiar with how to make conversions between ancient numeration systems and our current day Hindu-Arabic System
b. Know the origin of our Hindu-Arabic System
c. Conversions from base 10 to other bases and from other bases to base 10
d. Conversions related to ancient numeration systems
e. Be able to add/ subtract in bases other than base 10
f. *Symbols from ancient numeration systems will be provided on the exam. 3. Number Theory a. Sequences (Recognize by Type; Find common difference [d] or common ratio [r]; Recognize a pattern and extend a sequence) b. Sets of Numbers – Box within a Box Model
c. Sequences (Modeling with Cubes like Windmill problems)/ One Grain of Rice as an example of geometric sequence
3. Problem Solving: Expect 1 to 2 problems similar to those discussed in class and in the homework
4. Operations on Whole Numbers:
a. Be able to sketch a model of your operations on whole numbers using base-10 blocks [+, -, x, ÷]. Students are expected to follow the modeling format given in class.
b. Be able to use alternative algorithms.
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