Bits & Pieces II

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

 

Pretest Scores can help guide what differentiation you choose

0 -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   -   - 10

                                                               

Unit Introduction & Vocabulary Development: Math Cinquain

Vocabulary Development: Math Simile, Metaphor, Analogy

 

Investigation 1   (SE pg 5 ñ17  ) ñ 5  days

Learn:   Using Percents 

q    Use the ìout of 100î to develop an understanding of the concept of percent.

q    Think about representing $1.00 as 100 pennies and relate this to the hundredths-grid model as a way to visualize the percent of a dollar.

q    Use percents in estimating or computing taxes, tips, and discounts. 

Gr 6 GLE 1.1.8 Apply estimation strategies to determine the reasonableness of answers in situations involving addition and subtraction on non-negative rational numbers

 

Gr 6 GLE 1.1.4 Understand the concept of ratio & percent.

0 @  Foundations

0 @ Adaptations

1 @ Remediations

2-3-4      Program

 5- 6Enrichment

7-8Enhancement

9-10 Extension

Focus on these foundation skills

Additional Practice for this Investigation is available

Additional Focus ñ Calculating Sales Tax

Skill_10: Meaning of Percent:Pg01 & Skill_10: Pg02

Skill12:CalcPercent:pg01 & Skill12:pg02

Skill14:EstimatingPerc:pg01 & Skill14:pg02

Skill17.CalcPercent.pg01 & Skill17.pg02

Skill18.FindingPartsWhole.pg01 & Skill18.pg02

 

 

Skill15:PercGreaterLess:pg01 & Skill15:PG02

Sales Tax and Tips on Meals

Additional Questions with Percent

 

Investigation 2  (SE pg 18 - 30) ñ 2  days
Learn:
More About Percents

q    Use the ìout of 100î  to develop an understanding of the concept of percent.

q    Investigate the relationships among fractions, decimals, and percents.

q    Understand how to use percent as an expression of frequency in terms of ìout of 100î when a set of data contains more than or less than 100 pieces of data.

GR6 GLE 1.1.2 Understand the relative values of integers and non-negative rational numbers

 

Gr 6 GLE 1.1.4 Understand the concept of ratio & percentÖ

 

0 @  Foundations

0 @  Adaptations

1 @ Remediations

2-3-4    Program

5-6 Enrichment

7-8 Enhancement

9-10 Extension

Additional Practice

Skill11:Fractions_Decimals_Percents:pg01 & Skill11:pg02

Skill13:MentalMathPercents:pg01 & Skill13:pg02

Making and Reading a Circle Graph

Percent of Increase or Decrease

Algebraic Equations with Percents

 

 

 


 

Investigation 3   (SE pg 31 ñ42  ) ñ 2  days

Learn:   Estimating With Fractions and Decimals  

q    Develop strategies for estimating sums of fractions and decimals.  Make sense of whether a situation requires an overestimate or an underestimate.

q    Use 0, ?, 1, 1 ?, and 2 as benchmarks to make sense of the size of a sum. Use estimation strategies to quickly approximate a particular sum.

GR 5 GLE 1.1.5 Understand the meaning of addition and subtraction on non-negative decimals& fractions.

 

GR 6 GLE 1.1.8 Apply estimation strategies to determine the reasonableness of answers in situations involving addition and subtraction on non-negative rational numbers

0 @  Foundations

0 @  Adaptations

1 @ Remediations

2-3-4 Program

5-6 Enrichment

7-8 Enhancement

9-10 Extension

Additional practice

Benchmark fractions & decimals for estimating

ordering rational numbers

What part is shaded

Find # betweenÖ..

:

 

Investigation 4   (SE pg 45 ñ53  ) ñ 5  days

Learn:   Adding and Subtracting Fractions

q    Develop strategies for adding and subtracting fractions. Gr 5 GLE 1.1.5 Understand the meaning of addition and subtraction on non-negative decimals and fractions.

q    Understand when addition or subtraction is the appropriate operation.

q    Develop ways of modeling sums and differences.

q    Continue to develop ways to estimate the results of adding or subtracting fractions.

q    Reinforce understanding of equivalence of fractions.

q    Employ pictorial models

q    Search for and generalize patterns

Use estimation to help make decisions

 

GR 6 GLE 1.1.2  Understand the relative values of integers and non-negative rational numbers

 

 

GR 6 GLE 1.1.8   Apply estimation strategies to determine the reasonableness of answers in situations involving addition and subtraction on non-negative
 rational numbers

 

 

 

0 @  Foundations

0 @  Adaptations

1 @ Remediations

2-3-4 Program

5-6 Enrichment

7-8 Enhancement

9-10 Extension

+- like & unlike fractions

 

Equivalent Fractions Extended

+ - Unlike fractions Extended.pg01 &
Math at Work

 

Investigation 5   (SE pg 54 ñ63  ) ñ 4  days

Learn:   Finding Areas and Other Products

q    Develop an understanding of multiplication of fractions.

q    Use an area model to represent the product of two fractions.

q    Find a fraction of a whole number.

q    Use estimation as a way to make sense of products.

q    Draw pictures to represent problem situations.

q    Search for and generalize patterns.

q    Use a problemís context to help reason about the answer.

GR 6 GLE 1.1.3:  Apply properties of addition and multiplication to non-negative rational numbers and understand the additive inverse property with integers

 

GR 6 GLE 2.3.2 :  Apply strategies, concepts and procedures to solve a problem.

 

GR 6: GLE 3.3.1 Understand how to justify results using evidence. Apply estimation strategies prior to computation of whole numbers, decimals, and fractions to determine reasonableness of answers [1.1.8]

 

0 @  Foundations

0 @  Adaptations

0 @ Remediations

1-2-3         Program

4 ñ 5 Enrichment

6 ñ7 Enhancement

8- 9 Extension

 

:
Solving Simple Equations

 

Investigation 6   (SE pg 64 ñ76  ) ñ 5  days

Learn:   Computing with Decimals

q    Explore situations that involve operations with decimals.

q    Use strategies for quickly estimating sums and products.

q    Develop strategies for adding and subtracting decimals. GR 6 GLE 1.1.7 : Understand and apply strategies and tools as appropriate to tasks involving addition & subtractionÖon integers & non-neg. rational numbers

q    Understand when addition and subtraction is the appropriate operation.

q    Look for and generalize patterns.

q    Develop an understanding of decimal multiplication

q    Use estimation to help make decisions.

q    Use a problelmís context to help reason about answers.

GR 6 GLE 1.1.3: Apply properties of addition and multiplication to non-negative rational numbers and understand the additive inverse property with integers

 

GR 6 GLE: 1.1.8 Apply estimation strategies to determine the reasonableness of answers in situations involving addition and subtraction on non-negative
 rational numbers

 

GR 7: GLE 1.1.7 Ö..four basic operations on integers and non-negative rational numbers.

0 @  Foundations

0 @  Adaptations

1 @ Remediations

2-3-4 Program

5-6  Enrichment

7-8 Enhancement

9-10 Extension

 

:

 

Investigation 7   (SE pg  152 ñ 162   ) ñ 5  days

Learn:   Dividing Fractions

q    Develop the meaning of division for fractions.

q    Develop strategies and algorithms for dividing fractions.

q    Recognize situations for which division is an appropriate operation.

q    Explore the relationship between division and multiplication of fractions.

GR 7 GLE 1.1.3  Apply properties of addition and multiplication, including inverse properties, to the rational number system
(Use the inverse relationships of multiplication and division to simplify computations and solve problem)
.

0 @  Foundations

0 @  Adaptations

1 @ Remediations

2-3-4 Program

5-6 Enrichment

7-8 Enhancement

9-10 Extension

 

Questions about Rational Numbers

 

Review Unit Skills Part 1:pg01 & ReviewPart 1:pg02

Review Unit Skills Part 2:pg01 & ReviewPart 2:pg02

 

Skill16:ProbSolvEq.Formula:pg01 & Skill16:pg02

Skill19ProbSolv.pg01 & Skill19.pg02

 

 

 

Problem Solving Strategy ñ USE EASIER NUMBERS (Simplify) & USE FORMULA&EQUATIONS (Organzie)

 

 

 

 

 

 

 

 

 

 

Essential Vocabulary ---- decimal, denominator, equivalent fractions, fraction, numerator, percent

Nonessential ---benchmark, unit fraction

 

Additionally: algorithm, base ten number system (mentioned briefly)

 

 

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