week 8, day 1 introduction to percentages · week 8, day 1 introduction to percentages each day...
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Week 8, Day 1 Introduction to percentages
Each day covers one maths topic. It should take you about 1 hour or just a little more.
1. If possible, watch the PowerPoint presentationwith a teacher or another grown-up.
OR start by carefully reading through the Learning Reminders.
2. Tackle the questions on the Practice Sheet.There might be a choice of either Mild (easier) orHot (harder)!Check the answers.
3. Finding it tricky? That’s OK… have a go with agrown-up at A Bit Stuck?
4. Think you’ve cracked it? Whizzed through the Practice Sheets?Have a go at the Investigation…
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Learning Reminders
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Learning Reminders
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Learning Reminders
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© Hamilton Trust
Practice Sheet MildPercentages
Write the percentage of each square that is shaded.
e.g. 20%
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© Hamilton Trust
© Hamilton Trust
Practice Sheet HotPercentages
Write the percentage of each square that is shaded, and an equivalent fraction and decimal,
e.g. 20% = 0.2 = 1/5
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© Hamilton Trust
Percentages (mild)
20% 3% 10% 50% 25% 75% 99% 15% 46% 80%
Practice Sheets Answers
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Percentages (hot)
20% = 0.2 = 2 0/100 = 210 = 1/5 3% = 0.03 = 3/10010% = 0.1 = 1/ 0/100 = 1/10 50% = 0.5 = 5 0/100 = 510 = 1/225% = 0.25 = 2 5100 = 1/475% = 0.75 = 7 5100 = 3/499% = 0.99 = 9 910015% = 0.15 = 1/ 5100 = 3/2046% = 0.46 = 4 6/100 = 2 3/5080% = 0.8 = 8 0/100 = 810 = 45
© Hamilton Trust
Carefully shade small squares in each grid to show the following percentages:
A Bit Stuck?100-grid percentages
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Write the correct percentage by each grid.
5% 20% 40% 25% 95% 8%
+?
=x
cm³
½÷
£⅓
>m²
+%
<⅚
–cm
?×
÷cm
³½
÷£
⅓>
m²
+%
<?=
xcm
³½
÷£
⅓>
m²
+%
<⅚
–cm
?×
÷=
xcm
³½
÷£
⅓>
m²
+%
+ ? = x cm³ ½ ÷ £ ⅓ > m² + % < ⅚ – cm ? × ÷< ⅓
+ ? = x cm³ ½ ÷ £ ⅓ > m² + % < ⅚ – cm ? × ÷< ⅓
© Hamilton Trust
InvestigationPercentage explorers
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You will need:• squared paper
What to do:• Draw seven 5 × 2 rectangles on squared paper.
Each therefore has an area of 10 squares.
• Shade small squares in each grid to show the followingpercentages.
• In each case how many squares are coloured in?
• Which of the percentages resulted in some of the smallsquares being halved?
• Predict how many squares would be coloured in for eachpercentage if the rectangle measured 5 by 4 squares.
• Now check your predictions, were any squares halved this time?
Challenge
Investigate another rectangle.Can you predict whether any squares will need to be divided in order to show some of the percentages?
50% 25% 60%
10% 20% 75% 90%
+?
=x
cm³
½÷
£⅓
>m²
+%
<⅚
–cm
?×
÷cm
³½
÷£
⅓>
m²
+%
<?=
xcm
³½
÷£
⅓>
m²
+%
<⅚
–cm
?×
÷=
xcm
³½
÷£
⅓>
m²
+%
+ ? = x cm³ ½ ÷ £ ⅓ > m² + % < ⅚ – cm ? × ÷< ⅓
+ ? = x cm³ ½ ÷ £ ⅓ > m² + % < ⅚ – cm ? × ÷< ⅓
© Hamilton Trust
InvestigationPercentage explorers
Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton