Math 391 EXAM REVIEW
Summer Term 2006
Dr. Laurie Burton
EXAM ONE REVIEW
Exam ONE is an in-class exam given on: Monday, July 10
Exam ONE covers Labs 1, 2, 3 & 4
- For Exam ONE you should study your labs and your lab homework.
- There will be a few multiple choice questions.
- Most questions will require a short answer and/or a brief description of
modeling a concept.
- You may use manipulatives during the exam.
- You may use a calculator during the exam.
- You may not use a cell phone or notes during the exam.
CONCEPTS TO KNOW
- Terminology: Addend, sum, subtrahend, minuend, difference, dividend, quotient,
factor, product.
- Working with Bases, Place Value, Digits, Standard Numerals and Expanded
Numerals
- Modeling bundling and regrouping ideas.
- Connecting models to standard algorithms; especially addition, subtraction
and multiplication.
- Models for addition and subtraction of whole or decimal numbers: Multibase
blocks, bean sticks, Cuisenaire Rods.
- Model for multiplication of whole numbers: Cuisenaire Rods.
- Model for multiplication of whole or decimal numbers: Area and linear pieces.
- Sharing and Measurement Division settings. How to model and how to explain
the difference.
- Addition and Subtraction settings: Writing simple sentences that yield:
- Adding two parts to find the whole
- Joining one amount to another
- Take Away
- Comparison
- Missing Addend
- Working with Decimal Squares:
Decimal Square color scheme
- Using Decimal squares to model decimals
- Using Decimal squares to model decimal equality
- Using Decimal squares to model decimal inequality
- Using Decimal squares to model decimal sums
- Using Decimal squares to model decimal division (and connections to the
two division settings, which works, which does not work?)
I will feel free to draw from all homework & lab questions
EXAM TWO REVIEW
Exam TWO is an in-class exam given on: Wednesday, July 19
Exam TWO covers Labs 15, 6, 7, 8 & 9
- For Exam TWO you should study your labs and your lab homework.
- There will be a few multiple choice questions.
- Most questions will require a short answer and/or a brief description of
modeling a concept.
- You may use manipulatives during the exam.
- You may use a calculator during the exam.
- You may not use a cell phone or notes during the exam.
CONCEPTS TO KNOW
- Finding least common denominators with Cuisenaire Rods
- Working with Fractions
- Which fractions are close to 0, close to but less than , close to but greater
than , close to 1 and why
- Modeling fractions on Geoboards
- Showing fraction equivalence on Geoboards
- Showing fraction equivalence with Cuisenaire Rods
- Modeling adding fractions with Wooden Cubes or Cuisenaire Rods
- Modeling subtracting fractions with Wooden Cubes or Cuisenaire Rods
- Multiplying a Whole Number by a Fraction
- Modeling with Wooden Cubes
- Modeling with Cuisenaire Rods
- In specific you should be able to explain how you get your most efficient
model for ONE. Remember, you are not using LCDs here.
- Using paper folding to multiply a Whole Number by a Fraction or a Fraction
by a Fraction
- In specific you should be able to explain each step and how you see the
final answer in the paper folds.
- Dividing a Whole Number by a Fraction
- Modeling with Wooden Cubes
- Modeling with Cuisenaire Rods
- Dividing a Fraction by a Fraction
- Modeling with Wooden Cubes
- Modeling with Cuisenaire Rods
- In specific you should be able to explain how the general procedure works
and especially how you obtain your final quotient using the model.