Bits & Pieces II, v2

Website: helps explain computation with fractions

Website: Foundation Skills Games – Putting Fractions Together (add)….

Website =  Boston District use and interactive connections for BP II

Letter for Parents: About this Unit

Parents & Students - Download examples Ace Help: Ace Help

Students and Parents: Homework Help & Multiple Choice Skills Practice

Daily Lessons - We can change DELIVERY: pace, location, style, presenter, ACCESS to teacher: proximity, desk/table, meetings, phone calls;   WORK: time, tools, amount, complexity, grouping….

Pretest Scores can help guide what differentiation you choose for Bits & Pieces II

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Investigation 1   Estimating with Fractions – 2  days

q    Use benchmark and decimal fraction relationships to develop estimation strategies for finding fraction and decimal sums

q    Use estimation skills in contextual situations where an exact answer is not needed to make an informed decision.

q    Make decisions about whether an overestimate or an underestimate will suffice

GLE 1.1.8 … Apply estimation strategies involving addition and subtraction of non‑negative decimals and fractions to predict results or determine reasonableness of answers

0 @  Foundation

1 @  Adaptation

2 @ Remediation

3   Program

4 Enrichment

5  Enhancement

6  Extension

Worksheet: Inv1 Additional Practice

Worksheet: Estimating Fractions

Worksheet: Estimating Fractions with Mixed Numbers

 

Investigation 2  Adding and Subtracting Fractions – 5  days

q    Use number sentences to express sums and differences.

q    Explore the use of fractions and operators (e.g. 2/3 of 640 acres)

q    Write number sentences to represent situations for adding and subtracting fractions and mixed numbers.

q    Explore the inverse relationship between the addition and subtraction of fractions.

q    Develop and use efficient strategies for adding and subtracting fractions and mixed numbers.

q    Develop an efficient algorithm for adding and subtracting fractions.

1.1.3… Understand and use properties of addition and multiplication on non‑negative decimals and fractions. 

1.1.5 GR 5: Understand the meaning of addition and subtraction of non‑negative decimals and fractions. 

1.1.6 … Apply strategies or uses computational procedures to add and subtract non‑negative decimals and fractions.

1.1.7.. Apply strategies and uses tools appropriate to tasks involving addition and subtraction of non‑negative decimals and fractions

 

0 @  Foundation

1 @  Adaptation

2 @ Remediation

3    Program

4 Enrichment

5 Enhancement

6 Extension

Worksheet: Inv 2 Additional Practice

Worksheet: Adding and Subtracting Fractions

Worksheet Adding and Subtracting Fractions with Mixed Numbers

Website: Adding Fractions

Website: Adding Fractions with Circles or Symbolic Representation

Website: Subtracting Fractions with Circle or Symbolic Representation

Website: Adding Fractions – using pictures to illustrate finding Common Denominator

Website: Adding Unlike Denominators with a Picture

Worksheet: Adding Fractions

Worksheet: Subtracting Fractions

 

Worksheet: Adding More Difficult Fractions

Worksheet: Subtracting More Difficult Fractions

Investigation 3 Multiplying with Fractions – 5  days

Learn:    Estimating With Fractions and Decimals  

q    Estimate products of fractions.

q    Use models to represent the product of two fractions.

q    Understand that finding a fraction “of” a number means multiplication.

q    Develop and use strategies and models for multiplying combinations of fractions, whole numbers, and mixed numb

q    ers to solve problems.

q    Determine when multiplication is an appropriate operation.

q    Explore the relationship between two numbers and their product.

q    Develop and use an efficient algorithm to solve any fraction m

q    ultiplication problem.

1.1.3… Understand and use properties of addition and multiplication on non‑negative decimals and fractions. 

1.1.5 Gr 6: … Understand the meaning of multiplication and division of non‑negative decimals and fractions.

 

 

0 @  Foundation

1 @  Adaptation

2 @ Remediation

3     Program

4Enrichment

5 Enhancement

6 Extension

Worksheet: Inv 3 Additional Practice

Worksheet: Multiplying Fractions

Worksheet: Multiplying Fractions with Mixed Numbers

Website: Multiplying Fractions with  Circles or Numbers

Website: Multiplying Fractions with a Visual Response

Website Sample Questions: Multiplying Fractions – Sample Questions- Print Out Score Sheet

Website Tutorial : Tutorial on How to Multiply Fractions

Website Tutorial: Tutorial on How to Multiply Mixed Numbers

Worksheet: Multiplying Fractions

Worksheet: Multiplying More Difficult Fractions

 

Investigation 4   Dividing with Fractions – 5  days

q    Use models to represent division situations ( a whole number divided by a fraction, a fraction divided by a whole number, and a fraction divided by a fraction.)

q    Develop and use strategies for dividing a whole number by a fraction, a fraction by a whole number, and a fraction by a fraction.

q    Understand when division is the appropriate operation.

q    Develop an efficient algorithm to solve any fraction division problem.

q    Explore the inverse operations of multiplication and division.

1.1.5 Gr 6: … Understand the meaning of multiplication and division of non‑negative decimals and fractions. 

 

0 @  Foundation

1 @  Adaptation

2 @ Remediation

3      Program

4  Enrichment

5 Enhancement

6 Extension

Worksheet: Inv 4 Additional Practice

Worksheet: Dividing with Fractions

Worksheet: Dividing with Fractions and Mixed Numbers

Website: Dividing Fractions with Circles or Numbers

Website: Convert Fraction to Decimal and Percent

Website: Turns fractions to percents

Worksheet: Dividing Fractions

Interactive Website: Dividing with Fractions

Worksheet: Dividing More Difficult Fractions

Problem Solving Strategy – Use EASIER NUMBERS (Simplify)

Current Unit Vocabulary ---- algorithm, fact family, mathematical sentence, overestimate, reciprocal, underestimate

Prior Vocabulary --- benchmark, decimal, fraction, percent, unit fraction, denominator, equivalent fraction, improper fraction, mixed number, numerator, number sentence, factor, multiple, least common multiple

 

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