Fractions

advertisement
SCS Mathematics Detailed Curriculum Map 2012-2013
Grade 2, Part 4
Fractions (3 weeks)
Investigations Unit 7
SOL 2.3 – See VDOE SOL Curriculum Framework for Details
Big Ideas
 Fractions represent equal-size parts of a whole or a whole set
 The fraction name tells the number of equal parts in the whole (fourth is 4 parts)
 Larger the denominator, the smaller the part, and the smaller the fraction
 Identify, represent fractions, compare unit fractions
Anchor Experience
Halves of blocks, balloons, and rectangles, Investigations, Unit 7, session 1.3
Fair Shares, VDOE Enhanced scope and sequence
http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-3ab.pdf
Classroom Routines and Mini-lessons
Classroom Routines from Investigations:
 What time is it? Today’s Number, Quick Images, How Many Pockets?
Supplemental Classroom Routines (suggested):
 Calendar and telling time (Mon, Wed)
 Counting money and math combinations (+/-) (Tues/Thurs).
 Rounding and estimating (Fri).
Minilessons from Early Addition and Subtraction-Fosnot or Number Talks by Parrish
Resources
Primary Resources:
Investigations Unit 7
1. One half
2. Halves, thirds, and fourths (extend to include sixths, eights, and tenths)
Compare Unit Fractions – a sample activity is in appendix, there are also many online activities listed
below
Fair Shares, VDOE Enhanced scope and sequence
http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-3ab.pdf in this lesson students
identify the parts of a set and/or region that represent fractions for halves, thirds, fourths, sixths,
eighths, and tenths
Supplemental Resources:
 Van de Walle p.251-259
 Mathwire.com
 Investigations Student math book and flip chart p. 84-91
 Fraction flags online (see online resources)
Assessments
Ongoing: Session 1.4,
See pg 14 and 15 of Investigations Unit 7 for list of ongoing assessments, informal assessments;
Post-assessment: Session 2.6 Investigations, Common Grade level assessment to include all fractions
required
Objectives Completed by end of this unit - SOL 2.3ABC
Strategies
 Using a common whole
to compare fractions
 Using landmark
fractions (is it closer
to…0, 1/2, 1)
 Recognize fractions
represent equal-size
parts of a whole
Models
Unifix cubes
Fraction models
Real world sets of items to divide
Pattern blocks
Vocabulary
 Halves, thirds,
fourths, sixths,
eighths, tenths
 Whole





Numerator
Denominator
Equivalent fraction
Fair shares
Unit fraction
 Region
 Set
 Group
 Compare
 represent
Online Resources/Games
 Comparing fractions http://www.conceptuamath.com/fractions/comparing-fractions.html
 Fraction Flags Thirds - http://resources.oswego.org/games/fractionflags/ffthirds.html
 Fraction flags halves and quarters
http://resources.oswego.org/games/fractionflags/fractionflags.html
 Illuminations.com
 VDOE enhanced scope and sequence
 ABCYA.COM fraction tiles http://www.abcya.com/fraction_tiles.htm
 Investigations Smartboard activities
 www.mathwire.com
 Smart exchange smartboard activities
 Name the fraction http://nlvm.usu.edu/en/nav/frames_asid_104_g_1_t_1.html
Addition, Subtraction and Place Value
(4 weeks)
Investigations, Unit 8 and supplemental materials
SOL 2.4C, 2.5, 2.6AB, 2.7 AB, 2.9, 2.22 – See VDOE SOL Curriculum Framework for
Details
Big Ideas



Adding even and odd numbers
Making sense of and developing strategies to solve addition and subtraction problems with
totals to 100
Relating unknown addition and subtraction combinations to known combinations to 10 +10.
Anchor Experience
Investigations Unit 8 – Session 3
Classroom Routines and Mini-lessons


Investigations -Today’s Number, What Time is it? Quick Images
Supplemental Classroom Routines (suggested):
o Calendar and telling time (Mon and Wed)
o Rounding and estimation (Tues, Thurs)
o Counting money (Fri)
Minilessons from Early Addition and Subtraction-Fosnot or Number Talks by Parrish
Resources
Primary Resources:
Investigations Unit 8
1. Adding Even and Odd Numbers
2. Remaining addition combinations
3. Subtraction
4. Addition
NEED TO SUPPLEMENT WITH Create and solve 2-step addition and subtraction problems
using data
Ages and Timelines, Fosnot (Days 1-3 and string on day 5) and Early Addition and Subtraction,
Fosnot
Lessons on using the open number line for addition and subtraction
Supplemental Resources:
 Van de Walle, pgs276-287
 Mathwire.com games
Assessments
On-going:Unit 8, session 3.5, 4.3, see pg. 14 and 15 of unit 8 guide
Post-Assessment: Unit 8 – session 4.5, common grade level assessment
Objectives completed SOL 2.4c, 2.6ab, 2.7ab,2.8, 2.21, 2.22
Strategies
Models/Tools

Adding even and odd
numbers
 Knowing addition
combinations
 Plus 1 and plus 2
combinations
 Subtracting in parts
 Adding up or subtracting
back
 Open number line
Vocabulary




OPEN Number line
100 chart
Base ten blocks
Counting cubes












place value
digit
combinations
difference
sum
friendly number
equal
equality
Equation
Equivalent
pattern
doubles
Online Resources/Games
Investigations Smart Board Lessons
Lessons from the VDOE Enhanced Scope and Sequence:
Mathwire.com
Smartexchange.com
Illuminations
 sequence
 quantity
Measurement
Investigations Unit 9
(approx. time- 12 days)
SOL 2.11 and 2.12 – See VDOE SOL Curriculum Framework for Details
Big Ideas
 Establishing a need for using a common unit of measure. (nonstandard and standard)
 Comparing two lengths, two widths, two weights, two volumes, and two masses.
 Identifying length/width, weight, and volume/mass.
 Estimating and calculating length, weight, and volume/mass.
 Note: Time has been covered throughout the year with the What Time is It? Classroom
routine. This unit provides more lessons if needed.
Anchor Experience
Investigations Unit 9 Session 3.1, 3.2, 3.3, 3.4, 3.5 (Inches/Centimeter)
Standards of Learning Enhanced Scope and Sequence or other hands-on measurement
activities.
Classroom Routines and Mini-lessons


Investigations -Today’s Number, What Time is it? Quick Images
Supplemental Classroom Routines (suggested):
o Calendar and telling time (Mon and Wed)
o Rounding and estimation (Tues, Thurs)
o Counting money (Fri)
o
Minilessons from Early Addition and Subtraction-Fosnot or Number Talks by Parrish
Resources
Primary
Investigations Unit 9
Supplemental
 Kite Tail Measurement Activity (if needed)
http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-11a.pdf
 A Weigh We Go
http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-11b.pdf
 How Much Will It Hold
http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-11c.pdf
 Check the Time (Could call My Last Days in second grade)
http://www.doe.virginia.gov/testing/solsearch/sol/math/2/mess_2-12.pdfTeaching Student-Centered Mathematics by Van de Walle and Lovin pages 238- 240
Activities 8.13, 8.14, 8.15 (Volume and Capacity)
Assessments
Investigations: 3.1 The King’s Foot
Grade-level created cumulative measurement assessment
Assessments included in the VDOE lessons
Objectives completed by the end of this unit SOL 2.11 and 2.12
Strategies



Estimating and measuring the length of
various line segments and objects to the
nearest inch and centimeter.
Estimate and then measure the
weight/mass of the objects to the nearest
pounds/ounces and kilograms/gram,
using a scale.
Estimate and measure liquid volume in
cups, pints, quarts, gallons, and liters.
Models/Tools
 Rulers cm/in.
 Standard and Metric scales
 Cups, Pints, Quarts, Gallons, and LitersMeasuring Tools
Vocabulary




Estimate
Measure
Centimeter/Inch
Length
Online Resources/Games
Mathwire.com
ABCYA.com




Weight/Mass
Pounds/Ounces/Grams
Scales/ Balance
Metric

Liquid Volume/Capacity

Cups, Pints, Quarts, Gallons,
and Liters
SCS Mathematics Detailed Curriculum Map 2012-2013
Grade 2, Part 4
7
SCS Mathematics Detailed Curriculum Map 2012-2013
Grade 2, Part 4
8
Appendix
9
Fractions
Recommended Book
List Title
Author
Eating Fractions
Picture Pie I and Picture Pie II
Gator Pie
How Many Ways Can You Cut a
P-I-E?
Fractions Are Parts of Things
Half and Half
The Village of Round and Square
Houses
The Doorbell Rang
Bruce McMillan
Ed Emberly
Louise Matthews
Jane Belk Moncure
J. Richard Dennis
J. Nelson
Ann Grifalconi
Pat Hutchins
10
Fraction word wall
equal
having the same amount or value
fraction 
a number that names part of
a whole or part of a set
numerator 
the top number in a fraction that tells how many
equal parts are described by the fraction
11
Comparing Unit Fractions Activity
Using the following pizza models and spinner
Students spin spinner, select the fractional piece spun and
compare to their partners- which is greater, which is smaller?
Then play pizza play-off game
12
13
14
15
16
TASK CARD 1
TASK CARD 2
You have cut a pizza into four pieces.
You give the same amount of pizza
to 2 children. How many pieces will
each child get?
You have cut a pizza into six pieces.
You give the same amountof pizza to
three children. How many pieces will
each child get?
TASK CARD 3
TASK CARD 4
You took four pieces of pizza on a
picnic. You gave half of the pizza to
your friend. How many pieces do you
have left?
17
You ordered a pizza and cut it into
12 slices. You gave the same
amount of pizza to six friends. How
many slices did each friend get?
Download