Grade 5 (age 10-11)

Data Representation

Data representation shows numbers as a table or graph so patterns show. Bars compare sizes, a strip or pie graph shows ratios, a line graph shows change. Meal satisfaction reads best as parts of a whole at 100 percent. Move the sliders and see the data split across a strip and a pie graph.

Represent data in many ways

📊 Same data, different look

①Same data can be shown as table, bar, or pie chart

②Each graph highlights different features

③Pick the right one for the situation!

Strip Graph

Very Good15

Good25

Average8

Poor2

📏 Strip Graph Features

①Whole shown as one strip (bar)

②Compare ratios at a glance

③The whole is always 100%!

Pie Chart

🍰 Pie Chart Features

①Whole shown as a circle

②Each part is a sector by ratio

③Easy to see what fraction each item is

Summary

Bar Graph

Best for comparing sizes

Quickly see which is largest/smallest

Pie / Strip Graph

Best for ratios

Shows each part of the whole

Line Graph

Best for change over time

Shows how things change over time

🎯 Key Points

①Pick the graph by purpose

②Ratio → pie/strip

③Compare sizes → bar

④Change → line

⑤Percentages always sum to 100%

Examples and Unit Test

Example 1

Which graph is best for showing each item as a ratio of the whole?

Bar graphs compare sizes; line graphs show trends of change.

For ratios of the whole, a pie chart (or strip graph) is best.

▸ Pie chart (or strip graph)

Ratio → pie/strip, size comparison → bar, trend → line graph.

Example 2

On a strip graph: Very Good 40%, Good 30%, Average 20%. What percent is Poor?

On a percentage strip graph, all items always sum to 100%.

100 − 40 − 30 − 20 = 10, so Poor is 10%.

▸ 10%

On a percentage graph, all the item ratios always add up to 100%.

Unit Test

Which graph is best for showing temperature change over time?

①pie chart

②line graph

③strip graph

④pictograph

▸ ② line graph

To show a trend, a graph that connects points with lines is best.

For change over time, a line graph is the most suitable.

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Rules & Correspondence

Fraction Division