Grade 5 Mathematics
SCS Detailed Curriculum Map 6
2012 - 2013
Focus: Decimals (Supporting Topics: Fractions/Percents)
Investigations Unit__6__ and Supplemental Materials
SOL 5.1, 5.2, 5.4, 5.5a - See Curriculum Framework for Details
Big Ideas
Equivalence: the numbers in different place-value positions are related by powers of ten
Multiplication and division by ten make the whole shift to the right and to the left in a decimal
representation
If the whole is shifted, one can work with decimals using whole-number arithmetic
Decimals represent part of an area
Anchor Experience
Fosnot (Place Value, Rounding, Comparing/Ordering)
The Mystery of the Meter - Day 1 ONLY
Day 1 focuses primarily on the place value of decimals (tens through thousandths), but this lesson
provides an excellent opportunity to introduce the notions of rounding and ordering as the students
begin to understand how the dials move. Using this activity as an introduction provides an
interesting contextual background for further investigation of decimals.
Investigations (Addition)
The Jeweler’s Gold - Unit 6, Session 2.2
VA DOE Enhanced Scope and Sequence Lessons (+/-/x/÷ Decimals)
CAN ALSO BE USED WITH NEXT CURRICULUM MAP!
Party Time
Order Up!
http://www.doe.virginia.gov/testing/solsearch/sol/math/5/mess_5.2ab.pdf
Classroom Routines and Mini-lessons
Practicing Place Value (Ten-Minute Math)
Estimation and Number Sense (Ten-Minute Math)
Fosnot Minilessons (Fractions, Decimals, Percents)
Warm-up as appropriate
Investigation or Supplement
Primary Investigation
Investigations
Unit 6
Investigation 1;
Sessions 1.1-1.5, 1.8, (1.9 enrichment)
Investigation 2;
Sessions 2.2-2.4 (decimal addition) AND 2.5-2.7 (decimal games)
 Include comparing and ordering fractions and decimals from greatest to least and least to
greatest.
 Include rounding to the nearest whole number, tenth or hundredth.
 Extend addition and subtraction of decimals through the thousandths.
Supplemental Resources
Van de Walle
Chapter 7; Activities 7.1 (place value)
7.2 (base ten fractions to decimals)
7.4 (friendly fractions to decimals)
7.6 (decimals on a friendly fraction line)
7.7 (close to a friendly fraction)
7.8 (best match)
7.9 (line ‘em up)
7.10 (close “nice” numbers)
Expressions
Volume 1; Unit 3
Beyond Pizza and Pie
http://www.conceptuamath.com/fractions.html
VDOE Enhanced Scope and Sequence Lessons
Decimal Round-Up/Round-Down
http://doe.virginia.gov/testing/solsearch/sol/math/5/mess_5-1.pdf
Order Up!
http://www.doe.virginia.gov/testing/solsearch/sol/math/5/mess_5-2ab.pdf
Assessments
Pre-assessment: Show What You Know - Decimals Pretest (See Attached)
On-going:
See Investigations Unit 6, pg. 14
Division-required common assessment: Grade level teachers will create and share fractions
assessment across the Division.
-OR5th Grade Decimals Common Assessment (See Attached) - Focuses on equivalents, +/-/x/÷ decimals.
You may choose to do other formative assessments on decimal operations, as a grade level, as you
move through the curriculum.
Strategies
Models
Comparing decimals to landmarks of 0, ½ and
1
Using decimal and/or percentage equivalents
Using a ratio table as a tool to make equivalent
fractions
Using the associative property to make
“friendly” numbers and adjusting at the end
Counting on instead of removal in subtraction
Using repeated addition for multiplication
Applying a repertoire of strategies for whole
number computation
Vocabulary
Tenths, Hundredths, Thousandths
Equivalence
Powers of ten
Landmark fractions/decimals
Equivalent fractions
Percentages
Ratio
Simplest form
Unlike denominators
Simplify/Evaluate
Number line
10ths, 100ths, 1000ths Grids
Clock model
Money model
Online Resources/Games
Smartboard/Powerpoint
Interactive Whiteboard Activities from Investigations
http://www.rockingham.k12.va.us/resources/elementary/5math.htm#8sol (smartboard resources scroll to find SOL)
Websites/Games
http://www.brainpop.com/math/numbersandoperations/decimals (Video - decimals)
http://www.brainpop.com/math/numbersandoperations/convertingfractionstodecimals/
(Video - converting fractions to decimals)
http://www.mrnussbaum.com/deathdecimals.htm (Game - equivalent fractions AND decimals)
http://www.aaastudy.com/dec.htm (Game - EVERYTHING dealing with decimals)
http://gamequarium.com/decimals.html (Games - LOTS of decimal games)
http://www.funbrain.com/fractop/index.html (Game - adding/subtracting fractions)
http://www.math-play.com/multiplying-decimals-game.html (Game - multiplying decimals)
http://www.math-play.com/decimal-math-games.html (Games - all decimal operations)
Illuminations
illuminations.nctm.org (Click on “Lessons” - A Lunch-In Affair, Fractional Clothesline)
Show What You Know - Decimals Pretest 5th Grade
Name_______________________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. In which square is the amount shaded 0.4?
A.
C.
B.
D.
2. A small piece of gold weighs 0.155 gram. What is the word form of this number?
F. one hundred fifty-five tenths
G. one hundred fifty-five hundredths
H. one and fifty-five thousandths
J. one hundred fifty-five thousandths
3. Which of the following is the sum of 0.106 and 0.85?
A. 0.191
B. 1.01
C. 0.956
D. 1.91
4. According to a study, a male takes in an average of 4.027 grams of sodium a day, and a female takes
in an average of 3.864 grams of sodium a day. What is the value of the 2 in the average sodium
intake of a male?
F. 2 thousandths G. 2 hundredths H. 2 tenths
J. 2 ones
5. Which numbers are in order from least to greatest?
A. 1.084, 1.426, 1.822
C. 6.321, 6.578, 5.879
B. 0.725, 5.215, 5.025
D. 4.628, 4.381, 4.259
Show What You Know - Decimals Pretest 5th Grade
ANSWER KEY
Name______________________
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1.In which square is the amount shaded 0.4?
A.
C.
B.
D.
2. A small piece of gold weighs 0.155 gram. What is the word form of this number?
F. one hundred fifty-five tenths
G. one hundred fifty-five hundredths
H. one and fifty-five thousandths
J. one hundred fifty-five thousandths
3. Which of the following is the sum of 0.106 and 0.85?
A. 0.191
B. 1.01
C. 0.956
D. 1.91
4. According to a study, a male takes in an average of 4.027 grams of sodium a day, and a female takes
in an average of 3.864 grams of sodium a day. What is the value of the 2 in the average sodium
intake of a male?
F. 2 thousandths G. 2
H. 2 tenths
J. 2 ones
hundredths
5. Which numbers are in order from least to greatest?
A. 1.784, 1.426, 1.822
C. 6.321, 6.578, 6.879
B. 0.725, 5.215, 5.025
D. 4.628, 4.381, 4.259
Show What You Know
Grade 5 Post-Assessment
Name_________________________
Date______________
Decimal Concepts
1. Jenny is practicing for a track meet. She keeps a chart of how far she runs each day.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Jenny’s Log
Distance
0.87 miles
1.06 miles
2 miles
0.8 miles
1.3 miles
Order the distances from the shortest to the longest.
About how far did she run last week? Explain your answer.
2. Name the decimal and the fraction for each shaded region. Which is larger A or B? Justify
your response.
3. Lexi has $40.00 to spend at the mall. She wants to buy three shirts at $6.99 each and five
pairs of socks at $2.39 each. Approximately how much will Lexi have left to buy lunch?
4. Write the decimal that is equivalent to .
5. Place the fractions and decimals on the number line:
0
1
2
, 0.6, . 1.04, 2.25
3
6. Juan placed the following numbers in ascending order. Is he correct? Explain how you know.
If he is not correct, write them in the correct order from least to greatest.
,
,
7. Four athletes competed in the mile race. Their times are shown in the chart.
Runner
Amy
Savannah
Mataya
Jalisa
Who finished first? Who finished last?
Time
7.428
7.41
7.42
7
8. Jacob’s class had a pizza party. They bought one pizza for $12.99, another pizza for $8.25,
and a third pizza for $13.60. How much did they spend on pizza?
If they included a $3 tip for the delivery man and paid with two $20 bills, how
did they get back?
much change
9. Troy purchased two caps, one for $8.99 and one for $11.20. He paid $1.39 in tax. About how
much was his total cost (to the nearest dollar)?
10. Howard had
cups of milk to use for baking a batch of cookies. The recipe calls for
of milk. How much more milk does he need to bake the cookies?
cups
11. Alex bought lunch meat to make sandwiches. He bought
lb of ham,
lb of turkey, and
lb of bologna. How many pounds of lunch meat did he buy?
12. Karen has of a gallon of yellow paint. If she mixes it with of a gallon of red paint, how
much orange paint will she have? (Red and yellow mixed make orange.)
13. Abigail mixed
cans of blue paint with
of a can of yellow paint. Freddy said she should
have about
cans of green paint. Is Freddy’s estimate reasonable? How do you know?
(Blue and yellow mixed make green.)
14. Odile has $25.00. She plans to buy a shirt for $14.99 and a pair of shorts. What is the most
she can spend on the shorts?
15. Linda walks 2.3 miles each morning, and she walks 2.8 miles each afternoon. If she walked
Monday through Friday, about how far did she walk?
16. The gas gauge of John’s car was empty when he went to fill it up. Gas cost $2 per gallon. If
he paid $31.84 for the gasoline, about how many gallons must his tank hold?
17. The tables shows the number of hours Dylan worked and the amount of money he earned
each day.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Complete the chart
Hours
2
4
1
3
Earnings
$13.30
$39.90
$19.95