- Year 4
Add mixed numbers crossing the whole
I can add mixed numbers crossing the whole.
Lesson details
Key learning points
- Improper fractions can be added in the same way as proper fractions.
- A mixed number can be partitioned into its parts when adding it to improper or proper fractions.
- To add two mixed numbers, the whole number parts can be added and the fractional parts can be added.
- If the sum has a fractional part greater than one, this needs a conversion to express it as a conventional mixed number.
- A number line is a useful tool to use to support addition of mixed numbers.
Keywords
Mixed number - A mixed number is a whole number and a fraction combined.
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Common misconception
Adding the fractional part of a mixed number to a proper fraction may result in an improper fraction, which may be recombined with the whole number part of the mixed number and left as improper.
In a mixed number, the numerator of the fractional part must always be smaller than the denominator. If it is greater, a final conversion is needed.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.The whole has been divided into six equal parts, each part is one- of the whole.
Q2.Select the mixed numbers.
Q3.$$ {3} \over {10}$$ + $$ {4} \over {10}$$ =
Q4.Match the expressions to their sum.
$$ {1} \over {4}$$ + $$ {1} \over {4}$$ -Â $$ {2} \over {4}$$
$$ {1} \over {4}$$ + $$ {2} \over {4}$$ -Â $$ {3} \over {4}$$
$$ {1} \over {5}$$ + $$ {2} \over {5}$$ -Â $$ {3} \over {5}$$
$$ {1} \over {5}$$ + $$ {3} \over {5}$$ -Â $$ {4} \over {5}$$
$$ {2} \over {8}$$ + $$ {2} \over {8}$$ -Â $$ {4} \over {8}$$
Q5.Use the part-part-whole model to express $$ {13} \over {4}$$ as a mixed number.
Q6.Match the improper fractions to their equivalent mixed number.
$$ {9} \over {4}$$ -Â $$2{{1} \over {4}}$$
$$ {18} \over {4}$$ -Â $$4{{2} \over {4}}$$
$$ {29} \over {4}$$ -Â $$7{{1} \over {4}}$$
$$ {34} \over {4}$$ -Â $$8{{2} \over {4}}$$
$$ {46} \over {4}$$ -Â $$11{{2} \over {4}}$$
Assessment exit quiz
6 Questions
Q1.Find the total value of the rods. Give your answer as a whole number if you can.
Q2.Complete the part-part-whole model.
Q3.$$6{{4} \over {5}}$$ + $$ {3} \over {5}$$ = ?
Q4.Calculate $$1{{8} \over {9}}$$ + $$ {3} \over {9}$$ giving your answer as a conventional mixed number.
Q5.Calculate $$2{{8} \over {10}}$$ + $$1{3} \over {10}$$ giving your answer as a conventional mixed number.
Q6.Match the expression to its sum.
$$4{{1} \over {9}}$$ -Â $$2{{7} \over {9}}$$ + $$1{{3} \over {9}}$$
$$2{{8} \over {9}}$$ -Â $$1{{5} \over {9}}$$ + $$1{{3} \over {9}}$$
4 -Â $$3{{4} \over {9}}$$ + $$ {5} \over {9}$$
5 -Â $$3{{4} \over {9}}$$ + $$1{{5} \over {9}}$$
$$4{{4} \over {9}}$$ -Â $$1{{3} \over {9}}$$ + $$2{8} \over {9}$$
