These puzzles are a great way to explore equivalent fractions in your classroom. It will engage a large fraction of your grade 4 to 6 students for one or two periods. Top students will be engaged through deflection into tough problem solving - struggling students will be engaged through the beauty of the puzzles.
Standards for Mathematical Practice:
All MathPickle puzzles including "Mishap at Venn Zoo" are guaranteed to engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:
MP1 Toughen up!
This is problem solving where our students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.
MP3 Work together!
This is collaborative problem solving in which students discuss their strategies to solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.
MP6 Be precise!
This is where our students learn to communicate using precise terminology. MathPickle encourages students not only to use the precise terms of others, but to invent and rigorously define their own terms.
MP7 Be observant!
One of the things that the human brain does very well is identify pattern. We sometimes do this too well and identify patterns that don't really exist.
Common Core State Standards:
Fractured Fraction Puzzles target the following grade 3/4 Common Core State Standards:
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Recognize and generate simple equivalent fractions.
Compare two fractions with the same numerator or the same denominator.
Recognize and generate equivalent fractions.
Compare two fractions with different numerators and different denominators,