Bits And Pieces I, II, III
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Bits And Pieces II Homework Help  Bits And Pieces II MultipleChoice Skills Practice  Bits And Pieces II 
Bits And Pieces III Homework Help  Bits And Pieces III MultipleChoice Skills Practice  Bits And Pieces III 
Bits and Pieces I, II, III
Decimals
 Worsley School Decimals
 AAAMath Decimals
 Math Goodies Fractions/Decimals/Perceents
 BBC Bitesize Decimals
 Cool Math Decimal Cruncher

Fractions
 Jamit Fractions Lessons & Games
 AAAMath Fractions, Ratios
 Illuminations Fractions
 FunSchool Action Fraction
 BBC Bitesize Fractions, Ratios
 Johnnie's Math Page
 Cool Math:
 Fractone Click on the fraction squares to make pairs that have a sum of 1... and do it as fast as you can!
 Fractone Click on the fraction squares to make pairs that have a sum of 1... and do it as fast as you can!
 National Library of Virtual Manipulatives

Fraction Pieces – Work with parts and wholes to learn about fractions. Fractions  Adding – Illustrates what it means to find a common denominator and combine. Fractions  Comparing – Judge the size of fractions and plot them on a number line. Fractions  Equivalent – Illustrates relationships between equivalent fractions. Fractions  Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation.


 Fraction Cafe
 Compare Fractions Using Pictures
 Compare Fractions using Greater Than, Less Than, or Equal To Symbols
 Show Fractions Using Pictures
 Connect Written Fractions with Pictures
 Add Fractions
 Convert Improper Fractions into Mixed Numbers
 Find Common Denominators and Add Fractions
 Work with Uncommon Denominators
 Identify and Create Equivalent Fractions
 Estimate and Add Mixed Fractions
 Quiz: Mixed Numbers
 Quiz: Multiplying Fractions
Percents
 Worsley School Percents
 AAAMath Percents
 BBC Bitesize Percents
 National Library ofVirtual Manipulatives

Percent Grids – Represent, name, and explore percentages using hundreds grids. Percentages – Discover relationships between fractions, percents, and decimals.


Bits and Pieces I
(University of Michigan Overview)
Concept with Explanation
Selected Homework from ACE
In Bits and Pieces I students will investigate and make sense of rational numbers and operations with rational numbers. The investigations in this unit will help students to:
 Build an understanding of fractions, decimals, and percents and the relationships between and among these concepts and their representations;
 Develop ways to model situations involving fractions, decimals, and percents;
 Understand and use equivalent fractions to reason about situations;
 Compare and order fractions;
 Move flexibly between fraction, decimal, and percent representations;
 Use benchmarks such as 0, 1/2 , 1, and 1/4 to help estimate the size of a number or sum;
 Develop and use benchmarks that relate different forms of representations of rational numbers (for example, 50% is the same as 1/2 and 0.5);
 Use physical models and drawings to help reason about a situation;
 Look for patterns and describe how to continue the pattern;
 Use context to help reason about a situation; and
 Use estimation to understand a situation..
Bits and Pieces II
Concept with Explanation
Selected Homework from ACE
Bits and Pieces II was created to help students make sense of one aspect of rational number: fraction operations. The investigations in this unit will help students to:
 Use benchmarks and other strategies to estimate the reasonableness of results of operations with fractions;
 Develop ways to model sums, differences, products, and quotients with areas, strips, and number lines;
 Use estimates and exact solutions to make decisions;
 Look for and generalize patterns in numbers;
 Use knowledge of fractions and equivalence of fractions to develop algorithms for adding, subtracting, multiplying and dividing fractions;
 Recognize when addition, subtraction, multiplication, and division is the appropriate operation to solve a problem;
 Write fact families to show the inverse relationship between addition and subtraction, and between multiplication and division;
 Solve problems using arithmetic operations on fractions; and
 Look for and generalize patterns.
Bits and Pieces III
Concept with Explanation
Selected Homework from ACE
Bits and Pieces III, along with Bits and Pieces I and Bits and Pieces II, completes the development of meaning of, and operations on, fractions, decimals, and percents. This unit will help students to:
 Connect to what students already know about operations on fractions and whole numbers;
 Develop and use benchmarks and other strategies to estimate the answers to computations with decimals;
 Develop meaning of and algorithms for operations with decimals;
 Use the relationship between decimals and fractions to develop and understand why decimal algorithms work;
 Use the place value interpretation of decimals to make sense of shortcut algorithms for operations;
 Generalize number patterns to help make sense of decimal operations;
 Understand when addition, subtraction, multiplication or division is an appropriate operation to use to solve a problem;
 Understand that decimals are often associated with measurements in real world situations;
 Solve problems using operations on decimals;
 Use understanding of operations and the meaning of percents to solve percent problems of the form a% of b equals c for any one of the variables a, b, or c; and
 Create and interpret circle graphs