Georgia 6.PAR.6.2
The Standard
Determine greatest common factors and least common multiples using a variety of strategies to make sense of applicable problems.
Georgia's K-12 Mathematics Standards · Identify, write, evaluate, and interpret numerical and algebraic expressions as mathematical models to explain relevant situations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use factor lists, prime factorization, tables, or diagrams to find shared factors and multiples. They decide whether a problem involves forming equal groups or finding when repeating events occur together.
What Mastery Looks Like
- Students can find accurate results using factor lists, prime factorization, tables, or diagrams. They can explain why a grouping problem uses a common factor and a repeating schedule uses a common multiple.
Common Misconceptions
- Students often confuse factors with multiples or choose the wrong operation for the situation. They may multiply both numbers for every least common multiple or assume the smaller number is always the greatest common factor.
How to Assess It
- Exit ticket: Find the greatest common factor of 18 and 30 and the least common multiple of 6 and 8. Show one strategy for each.
Lesson moves
Ways to Teach It
Give pairs 24 counters and 36 cubes, then have them build the greatest possible number of identical groups with no leftovers.
Ask students to write how the words equal groups and repeats every help them choose between factors and multiples.
Run a card sort matching number pairs, factor lists, multiple lists, greatest common factors, and least common multiples.
Compare two bus routes arriving every 12 and 18 minutes, then find when both buses will arrive together again.
Free download
Printable 6.PAR.6.2 Worksheet
A ready-to-print activity worksheet aligned to 6.PAR.6.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 5.NR.2
Multiply and divide multi-digit whole numbers to solve relevant, mathematical problems.
- 5.NR.3.4
Model and solve problems involving multiplication of a fraction and a whole number.
- 6.NR.1.2
Multiply and divide any combination of whole numbers, fractions, and mixed numbers using a student-selected strategy. Interpret products and quotients of fracti...
- 4.NR.2.3
Solve relevant problems involving multiplication of a number with up to four digits by a 1-digit whole number or involving multiplication of two two-digit numbe...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.