fractions and money - staunton city schools€¦ · fractions and money third nine weeks...
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Fractions and Money Third Nine Weeks
Investigations Unit 8 and Fraction Café
SOL 3.3 a,b,c, 3.7, 3.8,3.11 – see the VDOE curriculum framework for more detail
Big Ideas
Fractional parts are equal shares or equal-sized portions of a whole unit.
Fractional parts have special names that tell how many parts of that size are needed to make the
whole.
The more fractional parts used to make a whole, the smaller the parts.
The denominator of a fraction indicates by what number the whole has been divided in order to
produce the type of part under consideration.
Two equivalent fractions are two ways of describing the same amount by using different-sized
fractional parts.
For addition and subtraction of fractions, the numerator tells the number of parts and the
denominator the type of part.
An understanding of 5, 10 and 25 in order to count collections of coins.
Adding on to find the difference. (Making change)
Anchor Experience
Fraction Café’- separate file, see math coach if not already given to you.
Classroom Routines and Mini-lessons
Today’s Number - Investigations
What Time Is It?- Investigations
What’s the Temperature? – Investigations
Minilessons for Early Multiplication and Division (Fosnot)
Number strings from “Number Talks”
Calendar – smartboard calendar available at Smart Exchange – go to http://exchange.smarttech.com
and search for daily calendar, many include money, time, counting etc.
Resources
Fraction Café’ (see math coach)
Teaching Student –Centered Mathematics, Grades K-2 p. 251 – 274
Teaching Student –Centered Mathematics, Grades 3-5 p. 131 – 166
Investigations: Unit 7 Finding Fair Shares, Investigations 1-3
Unit 8 Subtraction (Money), Sessions 3.4 and 3.5
Math Expressions: Volume 1, Unit 3, Lessons 4-6 and Volume 1, Unit 1, Lessons 2,7 Volume 2, Unit 7, Lesson 7 and Volume 2, Unit 6, Lessons 1-7, 16, 17
Enhanced Scope and Sequence http://www.doe.virginia.gov/testing/sol/scope_sequence/mathematics_2009/index.php
Modeling Fractions
Naming and Writing Fractions
Comparing Fractions
Adding and Subtracting Fractions
Money Counts
Assessments
Fractions -Pre and Post Assessments in Appendix 1
Money -Pre and Post Assessments in Appendix 2
Strategies
Models
Pictures
Fraction strips
Fraction circles
Number line
Clock
Ruler
Money
Folding Paper
Dot Paper
Region
Area
Length or measurement
Set
Vocabulary
Denominator
Dime
Dollar
Nickel
Quarter
Penny
Decimal Point
Numerator
Equivalent
Fraction
Fractional Parts
Denominator
Dime
Dollar
Nickel
Quarter
Penny
Decimal Point
Numerator
Online Resources/Games
VDOE Mathematics instructional video
http://www.doe.virginia.gov/instruction/mathematics/resources/videos/index.shtml
VDOE Vocabulary Word Wall Cards
http://www.doe.virginia.gov/instruction/mathematics/resources/vocab_cards/index.shtml
Mathwire
http://www.mathwire.com/numbersense/morepv.html Virtual Manipulative Kit
http://highered.mcgraw-hill.com/sites/0073519456/student_view0/virtual_manipulative_kit.html
Suffolk County Resources
http://star.spsk12.net/
Rockingham County Resource page:
http://www.rockingham.k12.va.us/resources/elementary/3math.htm#1learning http://www.aaamath.com/B/g36a_cx1.htm#section2
http://www.freewebs.com/weddell/equivalent.swf
http://www.oswego.org/ocsd-web/games/fractionflags/fractionflags.html
http://www.mrnussbaum.com/cashout/index.html
Illuminations.com
VDOE enhanced scope and sequence
ABCYA.COM (100 Number chart and many other good things)
Investigations Smartboard activities
Place Value to 10,000 and 100,000 and addition and subtraction to 9,999
Investigations 4th Grade Unit 5
SOL 3.1, 3.2, 3.4– see the VDOE curriculum framework for more detail
Big Ideas
The positions of digits in numbers determine what they represent
The groupings of ones, tens, and hundreds can be taken apart in different ways.
Addition and Subtraction are connected. Addition names the whole in terms of the parts, and
subtraction names a missing part.
Models can be used to solve contextual problems for all operations.
Numbers are related to each other through a variety of number relationships( i.e. comparing and
ordering)
Anchor Experience
Investigations Unit 5
This unit is from 4th grade Investigations. See your Math Coach for resources.
Classroom Routines and Mini-lessons
What’s the Temperature? Investigations
Guess My Rule Investigations
Counting Around the Class Investigations
What’s the Temperature? – Investigations
Minilessons for Early Multiplication and Division (Fosnot)
Number strings from “Number Talks”
Calendar – smartboard calendar available at Smart Exchange – go to http://exchange.smarttech.com
and search for daily calendar, many include money, time, counting etc.
Resources
Investigations: Unit 5 (from 4th
Grade) ** see Curriculum Map
Enhanced Scope and Sequence Lessons Place Value Rounding Whole Number
Math Expressions: Volume 1, Unit 1, Lesson 6 Volume 1, Unit 3, Lessons 1-3
Assessments
Attached pre and post in Appendix 3
Strategies
Models
Landmark Numbers
Splitting
Regrouping
Skip Counting
Varying adding on and removing
Constant Difference
T-Chart
Proof Drawings
Visual Representations
Vocabulary
difference
digit
equation
sum
number line
equivalent
greater than/less than
inverse relationship
Place Value
Expanded Form
Standard Form
Written Form
Value
Online Resources/Games
VDOE Mathematics instructional video
http://www.doe.virginia.gov/instruction/mathematics/resources/videos/index.shtml
VDOE Vocabulary Word Wall Cards
http://www.doe.virginia.gov/instruction/mathematics/resources/vocab_cards/index.shtml
Mathwire
http://www.mathwire.com/numbersense/morepv.html Virtual Manipulative Kit
http://highered.mcgraw-hill.com/sites/0073519456/student_view0/virtual_manipulative_kit.html
Suffolk County Resources
http://star.spsk12.net/
Rockingham County Resource page:
http://www.rockingham.k12.va.us/resources/elementary/3math.htm#1learning http://www.aaamath.com/B/g36a_cx1.htm#section2
http://www.freewebs.com/weddell/equivalent.swf
http://www.oswego.org/ocsd-web/games/fractionflags/fractionflags.html
http://www.mrnussbaum.com/cashout/index.html
Illuminations.com
VDOE enhanced scope and sequence
ABCYA.COM (100 Number chart and many other good things)
Investigations Smartboard activities
Appendix
Part 1 Fraction Assessments
Fractions Pre-Assessment Name _________________
1.
2.
3.
Fractions Pre-Assessment Name _________________
4.
5.
Fractions Post-Assessment Name _________________
1. A fraction represents part or parts of a ___________________
2. Divide this circle into fourths.
3. What fraction does this figure show? ______
4. Shade the figure below to show
5. Shade the triangle to show a half.
Fractions Post-Assessment Name _________________
6. Mrs. Leach ate of this pizza. How many slices did she eat?
A.
B.
C.
7. What fraction of the group of eggs is cracked? _______________
8. What fraction of the group of dogs has a bone? _________
9.
In the group above, what fraction are stars? ________
10. Circle the two figures that have an equivalent fraction shaded?
11. Circle the two figures that have an equal fraction shaded?
Fractions Post-Assessment Name _________________
12. True or False.
<
13. = ____
14. = ____
15. = ____
Write the improper fraction and mixed number for each of the following.
16. ___________________ __________________
17. ____________________ ____________________
18. _____________________ ____________________
19. of 12 is ______________________ 20. of 22 is _____________________
Appendix
Part 2 Money Assessments
Money Pre-Assessment Name _________________
1. What is the correct way to write two dollars and thirty-six cents?
Show your work for the following problems.
2. Theo has a stack of quarters that equal $1.50. How many quarters does Theo have?
3. If you had $2.35 and someone gave you $1.50, what would be the sum of the money
you have now?
4. A soft drink costs $0.50. Which of the following coin combinations could you use to buy
the soft drink?
a. three nickels and three dimes
b. four nickels and ten pennies
c. one nickel, two dimes and five pennies
d. one quarter, three nickels and one dime
5. How much money would you have if you had 2 quarters, 3 dimes, 1 nickel, and 8
pennies?
Money Post-Assessment Name _____________________
Money Post-Assessment Name _____________________
1 day? How many $1 bills does he need for 5 days?
4
5
6
7
Appendix 3
Place Value, addition and
subtraction
Name: ________________________
Place Value
Pre-Assessment
Identify the place of the underlined digit.
1. 4,892 __________________ 2. 6,205 ___________________
Identify the value of the underlined digit.
3. 4,892 __________________ 4. 6,205 ____________________
Write the following number in word form.
5. 2,312
______________________________________________________________
______________________________________________________________
Write the following number in expanded form
6. 2,312
______________________________________________________________
Write the following number in standard form
7. two thousand five hundred twenty one
_____________________________
8. 1,000+200+40+3
_____________________________
Round each number to the underlined digit.
9. 32 __________ 10. 59 ___________ 11. 203 __________
12. 956 __________ 13. 756 ___________
Compare the two numbers using symbols ( <, >, = )
14. 7,249 ____ 2,311 15. 899 ____ 8,897 16. 501 ____ 501
Compare the two numbers using words ( less than, greater than, equal to).
17. 1,902 _____________________________________ 903
18. 7,542______________________________________7,542
19. 192_______________________________________________1,992
Solve the problems below:
20. The third grade classes had 438 t-shirts to sell. They sold 396. How
many shirts do they have left?
21. Bobby had 130 tickets for the fair. His brother gave him 96 more. How
many tickets does he have to use at the fair?
22. 1,000 23. 241 + 677= 24. 999 - 72 =
- 563
Name: ________________________
Place Value
Post-Assessment
Identify the place of the underlined digit.
1. 104,892 ______________ 2. 786,205 _________________
Identify the value of the underlined digit.
3. 664,892 _______________ 4. 326,205 _________________
Write the following number in word form.
4. 793,521
______________________________________________________________
______________________________________________________________
______________________________________________________________
Write the following number in expanded form
6. 640,312
______________________________________________________________
______________________________________________________________
Write the following numbers in standard form
7. eight hundred thirty three thousand forty two
_____________________________________________________________
8. 800,000 + 11,000 + 6,000 + 900 + 30 + 5
Round the number to the underlined digit.
9. 52 __________ 10. 78 ___________ 11. 898 __________
12. 7,956 __________ 13. 2,756 ___________
Compare the two numbers using symbols ( <, >, = )
14. 7,249 ____ 7,311 15. 898 ____ 8,897 16. 1,401 ____ 1,401
Compare the two numbers using words ( less than, greater than, equal to).
17. 7,945 _____________________________________7,945
18. 9,201______________________________________9,102
19. 4,567______________________________________4,557