4.5

The student will

a)   determine common multiples and factors, including least common multiple and greatest common factor;

b)   add and subtract fractions having like and unlike denominators that are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fractions, using common multiples and factors;

c)   add and subtract with decimals; and

d)   solve single-step and multistep practical problems involving addition and subtraction with fractions and with decimals.

Essential Knowledge and Skills  (Full Curriculum Framework for this SOL)

  • Find common multiples and common factors of numbers.
  • Determine the least common multiple and greatest common factor of numbers.
  • Use least common multiple and/or greatest common factor to find a common denominator for fractions. 
  • Add and subtract with fractions having like denominators whose denominators are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fraction using common multiples and factors.
  • Add and subtract with fractions having unlike denominators whose denominators are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fraction using common multiples and factors.
  • Solve problems that involve adding and subtracting with fractions having like and unlike denominators whose denominators are limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fraction using common multiples and factors.
  • Add and subtract with decimals through thousandths, using concrete materials, pictorial representations, and paper and pencil. Solve single-step and multistep problems that involve adding and subtracting with fractions and decimals through thousandths.

Textbook Correlation

  Grades  Lesson(s)
4.5a 4  Fluency Plan #2, 1-8, 9-12
4.5a 3  9-6
4.5b 4  9-7. 9-8, 9-9, 9-12, 9-13, 9-14
4.5c 4  3-19, 11-9, 11-10, 11-11, 11-12, 11-13
4.5d 4  3-19, 9-7. 9-8, 9-9, 9-12, 9-13, 9-14, 11-9, 11-10, 11-11, 11-12, 11-1

Links to Related SOL

4.5a   5.3   6.4   8.2

2.6b   3.7   4.5b,c   5.5a   6.6a   7.3b

4.5d   5.5b   5.6   6.6b


Additional On-line Resources from:
 
Rockingham County
Suffolk Teaching Activities and Resources

Games and On-Line Practice:

amby.com: Greatest Common Factors
Mini-lesson and on-line practice

mathisfun.com: Greatest Common Factor Tool
A tool that finds the GCF for 2 or 3 numbers

aaamath.com: Greatest Common Factor
Mini-lesson and on-line practice

mathplayground.com: How to do (almost) anything in math
Short video example of finding the GCF (need speakers/headphones)

glencoe.com: Greatest Common Factor
Manipulative site to help find the GCF (need speakers/headphones)

mathisfun.com: Least Common Multiple Tool
A tool that finds the LCM for 2 or 3 numbers

aaamath.com: Least Common Multiple
Mini-lesson and on-line practice

cs.gmu.edu: What is the Least Common Multiple?
Visual explanation of LCM

mathgoodies.com: Multiples and Least Common Multiple
Explanation in a table format, with online practice

nlvm.usu.edu: Base Block Decimals
Base-10 blocks to show addition and subtraction of decimals

cemc2.math.uwaterloo.ca: Decimal Mania
Addition and subtraction practice

coolmath.com: Decimal Cruncher
Pick the operation and level of difficulty

mye-coach.com: Decimal Blitz
5 addition and subtraction games to choose from

math-play.com: Baseball Math
Subtracting decimals game

math-play.com: Basketball Math
Subtracting decimals game

Teacher Reference:

School Health Initiative Project: Fitness Division
Students identify the divisible factor while participating in physical activities.

School Health Initiative Project: Miss-Fit Factor
Students decipher math equations by identifying the operation used and any missing factors/divisors, or products/quotiens within the equation.

math.com: Greatest Common Factor
Explanation, examples, and practice of GCF

math.com: Least Common Multiple
Explanation, examples, and practice of LCM

helpwithfractions.com:  The Greatest Common Factor
Explanation of GCF, with several links included 

helpwithfractions.com: Least Common Multiple
Explanation of LCM, with several links included 

mathisfun.com: Greatest Common Factor
Explanation of GCF, with several links included 

mathisfun.com: Least Common Multiple
Explanation of LCM, with several links included 

k12math.com:Least Common Multiple
Explanation of LCM

basic-mathematics.com: Least Common Multiple
Explanation of LCM

mathteacher.com: Addition and Subtraction of Decimals
Explanation of addition and subtraction of decimals

chccl.k12.nc.us: How to add and subtract decimals
PowerPoint that explains addition and subtraction of decimals

tenmarks.com: Addition and Subtraction of Decimals
Video, quick reference, and practice questions on addition and subtraction

education.vic.gov.au: Addition and Subtraction of Decimals
Good explanation; base-10 blocks explanation included

susancanthony.com: Teaching Math with Base-10 Blocks
Descriptions of using base-10 blocks to add; whole numbers and decimals

explorelearning.com: Gizmos
Several lessons on adding decimals

authorstream.com: Decimals Addition and Subtraction
Short power point on adding and subtracting decimals

Free Worksheets:

softschools.com: Greatest Common Factor Worksheets
Generate worksheets; choose maximum and minimum numbers

mathslice.com: Greatest Common Worksheet
Generate worksheets; choose the range 

worksheetworks.com: Greatest Common Factors
Generate worksheets; choose difficulty level (easy, moderate, or complex)

worksheetplace.com: Greatest Common Factor
9 pre-made worksheets

mathworksheets4kids.com: Greatest Common Factor Worksheets
16 pre-made worksheets (8 using common factors and 8 using factor trees)

math-aids.com: Greatest Common Factor Worksheets
Generate worksheets; choose the maximum number

themathworksheetsite.com: Least Common Multiple
Generate worksheets

softschools.com: Finding Least Common Multiple Worksheet
Generate worksheets; choose maximum and minimum numbers

mathslice.com: Least Common Multiplier
You choose range and number of constants

mathworksheets4kids.com: Least Common Multiple Worksheets
16 pre-made worksheets (8 using common multiples and 8 using factor trees)

homeschoolmath.net: Decimal Worksheets
Pre-made and generate-your-own worksheets

ezschool.com: Addition and Subtraction
Pre-made worksheets, vertical or horizontal, regrouping or no regrouping

mathworksheets4kids.com: Decimal Worksheets
Several pre-made worksheets

mathisfun.com: Decimal Worksheets
Several to choose from

math-drills.com: Base-10 Blocks
Worksheets with Base-10 blocks