The Bracket Strategy
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- Tyrone Parks
- 5 years ago
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2 The Bracket Strategy This strategy will show students how common denominators are actually found. This strategy should be done with fraction bars. Step Create a bracket X Step Fill in the bracket with multiples of each fraction. Step Look for common denominators between the two fractions Step Now the fractions can be compared, ordered, added, or subtracted.
3 Adding Fraction with Unlike Denominators Step Look at the problem + *Notice the denominators are not the same Step Check for improper fractions and simplify Simplify This is an improper fraction and should be written a mied number. 6 Step Find a common denominator and add Step Record your answer *Remember that the denominators are not added. 6 Students can use the bracket strategy for this step.
4 Subtracting Fractions with Unlike Denominators Step Look at the problem 6 Step Check for improper fractions and simplify You cannot simplify! *Notice the denominators are not the same Step Find a common denominator and subtract Step Record your answer *Remember that the denominators are not subtracted. Students can use the bracket strategy for this step.
5 Adding Mied Numbers with Like Denominators Step Look at the problem + *Notice the denominators are the same Step Add the whole numbers + 0 Step Add the fractions Step Add whole number and the fraction *Remember that the denominators are not added Simplify the fractions if possible. / cannot be simplified.
6 Adding Mied Numbers with Unlike Denominators Step Look at the problem + *Notice the denominators are the same Step Add the whole numbers + Step Find a common denominator and add + Step Add whole number and the fraction + *Remember that the denominators are not added + Simplify the fractions if possible. / /
7 Adding Mied Numbers Strategy Step Look at the problem Step Change the mied numbers to improper fractions + *Notice that / cannot be subtracted from /. + Step Add the improper fractions + Step Change to a mied number and simplify the fraction if possible. 6 * / cannot be simplified
8 Subtracting Mied Numbers Strategy Step Look at the problem Step Borrow from the whole number _ *Notice that / cannot be subtracted from /. _ *Borrow and add it to Step Rename the mied number and subtract 6 Step Simplify the fractions if possible. _ * / cannot be simplified
9 Subtracting Mied Numbers Strategy Step Look at the problem Step Change the mied numbers to improper fractions _ *Notice that / cannot be subtracted from /. _ Step Subtract the improper fractions _ Step Change to a mied number and simplify the fraction if possible. * / cannot be simplified
10 Multiplying Mied Numbers Strategy Step Adjust the problem + ( ) ( ) + Step Add up all of the products Step Multiply + ) + ) ( ( Find a common denominator Step Bring it all together and simplify
11 Multiplying Mied Numbers Strategy Step Create the area model boes and fill in numbers. Step Multiply each whole number and fraction X X 6 / 0/ or / / 6/ or / / 0/
12 Step Add the partial products which includes whole numbers and fractions Step Simplify is possible and record the answer 6 Remember: The last fraction will be the common denominator. The answer cannot be simplified. +
13 Multiplying Mied Numbers Strategy Step Look at the problem Step Change the mied numbers to improper fractions Step Multiply the improper fractions Step Change to a mied number and simplify the fraction if possible 0 0
14 Dividing Fractions Step Look at the problem Step Change the mied numbers to improper fractions The reciprocal of is Step Multiply the fractions Step Simplify the fraction if possible. * cannot be simplified
15 Dividing Mied Numbers Step Look at the problem Step Change the mied numbers to improper fractions 6 Step Find the reciprocal of the second fraction (divisor) and multiply Step Simplify the fraction if possible. 6 0 The reciprocal of is * / cannot be simplified
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