New
New
Year 7
Problem solving with arithmetic procedures involving fractions
I can use my knowledge of arithmetic procedures involving fractions to solve problems.
New
New
Year 7
Problem solving with arithmetic procedures involving fractions
I can use my knowledge of arithmetic procedures involving fractions to solve problems.
Lesson details
Key learning points
- When calculating with fractions and decimals, a common form can be easier.
- A calculator removes the need for a common form.
- The commutative law can be applied to make calculations easier.
Common misconception
Incorrectly inputting a mixed number into the scientific calculator.
A mixed number has it's own separate button. Incorrectly inputting in the mixed number will return brackets on the calculator screen.
Keywords
Mixed number - A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.
Some pupils will not have the Casio fx991 Classwiz, but still have a scientific calculator. Allow pupils to peer support one another to find the relevant functions and/buttons required for the lesson e.g mixed number button, standard <->decimal.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
Loading...
Starter quiz
Download starter quiz
6 Questions
Q1.
Work out the answer to $$\frac{1}{3}+\frac{2}{5}$$.
$$\frac{2}{8}$$
$$\frac{3}{8}$$
$$\frac{10}{15}$$
Correct answer: $$\frac{11}{15}$$
$$\frac{11}{15}$$
$$\frac{1}{4}$$
Q2.
Work out the answer to $$\frac{6}{7}\times\frac{2}{3}$$.
$$\frac{8}{10}$$
$$\frac{4}{5}$$
$$\frac{32}{21}$$
Correct answer: $$\frac{4}{7}$$
$$\frac{4}{7}$$
Q3.
Work out the answer to $$\frac{2}{9}\div\frac{3}{4}$$.
Correct answer: $$\frac{8}{27}$$
$$\frac{8}{27}$$
$$\frac{27}{8}$$
$$\frac{6}{36}$$
$$\frac{1}{6}$$
Q4.
Match the calculation on the left with the answer on the right.
Correct Answer:$$\frac {\sqrt{25}}{9}$$,$$\frac{5}{9}$$
$$\frac {\sqrt{25}}{9}$$ -
$$\frac{5}{9}$$
Correct Answer:$$\sqrt{\frac{25}{9}}$$,$$\frac{5}{3}$$
$$\sqrt{\frac{25}{9}}$$ -
$$\frac{5}{3}$$
Correct Answer:$$\frac {25}{\sqrt{9}}$$,$$\frac{25}{3}$$
$$\frac {25}{\sqrt{9}}$$ -
$$\frac{25}{3}$$
Correct Answer:$$\frac{5^2}{3^2}$$,$$\frac{25}{9}$$
$$\frac{5^2}{3^2}$$ -
$$\frac{25}{9}$$
Q5.
Work out the answer to $$1 + \sqrt{\frac{4}{9}}\times \frac{1}{2}$$.
$$\frac{3}{4}$$
Correct answer: $$\frac{4}{3}$$
$$\frac{4}{3}$$
2
$$\frac{11}{12}$$
$$\frac{1}{2}$$
Q6.
Without using a calculator, work out $$2 - \frac{1}{2} + \sqrt{\frac{25}{16}}$$.
$$\frac{4}{11}$$
Correct answer: $$\frac{11}{4}$$
$$\frac{11}{4}$$
$$\frac{13}{2}$$
$$\frac{4}{13}$$
$$\frac{13}{4}$$
Exit quiz
Download exit quiz
6 Questions
Q1.
A small, rectangular plot of dirt has length $$\frac{3}{4}$$ metres by $$\frac{7}{10}$$ metres. Work out the area of the plot of dirt in m$$^2$$.
$$\frac{30}{28}$$ m$$^2$$
$$\frac{14}{11}$$ m$$^2$$
$$\frac{11}{14}$$ m$$^2$$
Correct answer: $$\frac{21}{40}$$ m$$^2$$
$$\frac{21}{40}$$ m$$^2$$
$$\frac{15}{14}$$ m$$^2$$
Q2.
Andeep wants to put an edging around a small, rectangular plot of dirt. It has length $$\frac{3}{4}$$ m by $$\frac{7}{10}$$ m. Work out the total length of the edging, giving your answer in cm.
1.45 cm
145 cm
Correct answer: 290 cm
290 cm
29 cm
300 cm
Q3.
A plot of land measures $$5 {{4} \over {5}}$$ m by $$2 {{9} \over {10}}$$ m. It will cost £20 per m$$^2$$ to grass this plot of land. Who has correctly worked out the cost?
Andeep says "Rounding, the area is $$6\times 3= 18$$ so $$18\times 20 = £360$$"
Sofia says "$$5.8\times2.9$$ so rounding gives $$6\times3=18$$. Andeep is right.
Correct answer: Jun says "$$\frac{29}{5}\times\frac{29}{10}=16{{41}\over{50}},17\times20=£340$$"
Jun says "$$\frac{29}{5}\times\frac{29}{10}=16{{41}\over{50}},17\times20=£340$$"
Q4.
A square picture frame is made from wood with length $$\frac {4}{5}$$ m. Laura wants to put a metal trim around the picture. The trim cost £1.20 per 10 cm. How much will it cost to trim the frame?
£45.80
£39.50
£23.80
Correct answer: £38.40
£38.40
£40
Q5.
A piece of farmland has an area of $${{3} \over {5}}\times1 {{2} \over {3}}$$ km$$^2$$. One sheep needs $$2500$$ m$$^2$$ of land for grazing. How many sheep can live on the farmland?
Correct Answer: 400
400
Q6.
Aisha is restoring some old picture frames. She wants to cover the frame in gold leaf. Gold leaf costs £1 per cm$$^2$$. How much will it cost Aisha to gold leaf the picture frame?
Correct Answer: 45, £45, £45.00
45, £45, £45.00