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
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Unit Introduction & Vocabulary
Development:
Math
Cinquain
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Vocabulary
Development:
Math Simile, Metaphor, Analogy
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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. |
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0 @ Foundations |
0 @ Adaptations |
1 @ Remediations |
2-3-4 Program |
5- 6Enrichment |
7-8Enhancement |
9-10 Extension |
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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
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Skill15:PercGreaterLess:pg01
&
Skill15:PG02
Additional Questions with Percent
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Investigation 2 (SE pg 18 - 30) ñ 2 days 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 |
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0 @ Foundations |
0 @
Adaptations |
1 @ Remediations |
2-3-4 Program |
5-6 Enrichment |
7-8 Enhancement |
9-10 Extension |
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Additional Practice Skill11:Fractions_Decimals_Percents:pg01 & Skill11:pg02 |
Percent of Increase or Decrease
Algebraic Equations with Percents
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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 |
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0 @ Foundations |
0 @
Adaptations |
1 @ Remediations |
2-3-4 Program |
5-6 Enrichment |
7-8 Enhancement |
9-10 Extension |
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Additional practice Benchmark fractions & decimals for estimating ordering rational numbers What part is shaded Find # betweenÖ.. |
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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
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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 |
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0 @ Foundations |
0 @
Adaptations |
1 @ Remediations |
2-3-4 Program |
5-6 Enrichment |
7-8 Enhancement |
9-10 Extension |
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+- like & unlike fractions |
+ - Unlike fractions Extended.pg01
&
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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] |
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0 @ Foundations |
0 @
Adaptations |
0 @ Remediations |
1-2-3
Program |
4 ñ 5 Enrichment |
6 ñ7 Enhancement |
8- 9 Extension |
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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 GR 7: GLE
1.1.7 Ö..four
basic operations on integers and non-negative rational numbers. |
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0 @ Foundations |
0 @
Adaptations |
1 @ Remediations |
2-3-4 Program |
5-6 Enrichment |
7-8 Enhancement |
9-10 Extension |
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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 |
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0 @ Foundations |
0 @
Adaptations |
1 @ Remediations |
2-3-4 Program |
5-6 Enrichment |
7-8 Enhancement |
9-10 Extension |
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Questions about Rational Numbers
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Review Unit
Skills Part 1:pg01 &
ReviewPart 1:pg02
Review Unit Skills Part 2:pg01
&
ReviewPart 2:pg02
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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)