BITS & PIECES III v2
Pretest Scores can help guide what differentiation you
choose for Bits and Pieces III
INVESTIGATIONS - - - - - - - - - - - - - - - - - - - - GLEs
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Investigation 1 Decimals More or Less! 4
days q ADDING and SUBTRACTING DECIMALS. |
GLES 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. 1.1.8
Apply estimation strategies
involving addition and subtraction of non‑negative decimals and
fractions to predict results or determine reasonableness of answers |
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0
@ Foundation |
1 @ Adaptation |
2
@ Remediation |
3 Program |
4
Enrichment |
5
Enhancement |
6
Extension |
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Worksheet: Inv
1 Additional Practice Worksheet: Adding
and Subtracting Decimals o:p> Worksheet: Adding
Decimals Worksheet:
Subtracting
Decimals NLVM
Website: Adding
& Subtracting with Decimals |
Worksheet: Solving
for missing elements of Addition Problems Worksheet:
Solving
for missing elements of Subtraction Problem |
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Investigation 2 Decimal Times
6 days q Estimate the relative size
of a decimal product prior to finding an exact number. q Develop place value
understanding of decimal multiplication. q Solve problems that
require decimal multiplication. q Consider how finding a
decimal part of and a fraction part of a quantitiy affects the relative size
of a product. q Use place value to reason
about decimal multiplication. q Explore the relationship
between factors and products in decimal multiplication. q
Develop estimation strategies for finding decimal products. q
Use estimation as a strategy for locating the position of the decimal
in finding exact decimal products. q
Generalize
an approach to placing the decimal point into a product that involves
counting and adding decimal places. q
Consider
when various strategies are useful for finding decimal products. q
Understand
what happens to place value and the position of the decimal when you multiply
by powers of ten. q Develop at least one efficient algorithm
for multiplying decimals. |
1.1.3
Understand and use properties of
addition and multiplication on non‑negative decimals and fractions. 1.1.5
Understand the meaning of
multiplication and division of non‑negative decimals and fractions. |
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0
@ Foundation |
1 @ Adaptation |
2
@ Remediation |
3
Program |
4
Enrichment |
5 Enhancement |
6
Extension |
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Worksheet:
Inv
2 Additional Practice Worksheet:
Multiplying
Decimals Interactive Website: Multiplying
Decimals |
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Investigation 3 The
Decimal Divide 5 days --- q Choose between division,
multiplication, addition, or subtraction as an appropriate operation to use
to solve a problem. q Use models and the content
to find solutions to division problems. q Estimate to find
approximate solutions. q Use the relationship
between decimals and fractions to develop and understand decimal division. q
Use knowledge about fractions and place value to understand and
develop algorithms for dividing decimals. q
Use efficient algorithms for dividing decimals. q
Explore the inverse relationship between multiplication and division
in fact families. q Understand and predict the
decimal representation of a fraction (terminating or repeating). |
1.1.5
Understand the meaning of multiplication
and division of non‑negative decimals and fractions. |
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0
@ Foundation |
1 @ Adaptation |
2
@ Remediation |
3 Program |
4
Enrichment |
5 Enhancement |
6 Extension |
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Worksheet: Inv
3 Additional Practice Worksheet: Dividing
with Decimals
Interactive Website: Dividing with
Decimals |
: |
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Investigation # 4 Using
Percents 4 days q Understand
that a percent is a decimal fraction with a denominator of 100. q Represent
$1.00 as 100 pennies (100 cents), and relate this to partitioning a number
line into 100 parts. q Represent
percents as decimals and use decimal computation to compute percents. q Explore
the relationship between 1% and 10% and use these to compute 5%, 15%, and 20%
tips. q
Work backwards to find the amount of the
bill if you know the tip and the percent of the tip for the bill. q
Use percents in estimating or computing
taxes, tips, discounts. q
Find what percent one number is of another
number. q Solve
problems using percents. |
1.1.3
Understand and use properties of
addition and multiplication on non‑negative decimals and fractions 1.1.4
Understand the concepts of ratio (voc) and percent. 1.1.5
Understand the meaning of
multiplication and division of non‑negative decimals and fractions. |
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0
@ Foundation |
1 @ Adaptation |
2
@ Remediation |
3 Program |
4
Enrichment |
5 Enhancement |
6 Extension |
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Worksheet: Inv 4 Additional
Practice Worksheet: Using
Percents Website: Various Percent
and Decimal Skills Website: Finding
percent |
Website: Calculating
Original Bill |
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Investigation # 5 More About Percents 4 days q Develop
a strategy for finding the percent of discount an amount taken off a price
represents. q Use
percents in estimating taxes, tips, and discounts. q Solve
problems involving percents. q Make
and interpret circle graphs to represent data. |
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0
@ Foundation |
1 @ Adaptation |
2
@ Remediation |
3 Program |
4
Enrichment |
5
Enhancement |
6 Extension |
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Worksheet:
Inv 5 Additional Practice Worksheet: More
Percents |
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Problem Solving Strategy Use EASIER
NUMBERS (Simplify)
Current Unit Vocabulary ---- repeating decimal, terminating decimal, power of ten, difference, dividend, divisor, factor, mean, product, quotient, sum, algorithm, base ten, mathematical sentence, percent, place value
Prior Vocabulary --- benchmark, decimal, denominator, estimate, fact family, fraction, number sentence, numerator, multiple