# Interpreting graphs Objective: To be able to read and plot graphs of real-life problems

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• Interpreting graphsObjective: To be able to read and plot graphs of real-life problems

• You should already know:How to draw a straight line from an equation,How to label & read independent & dependent variables,What gradient means,How to read information from graphs.

• What does it show?Firstly, look at the axis to see what the graph represents.

• ALWAYS READ THE LABELS ON THE AXIS!The bus stop queue

• Drawing graphs of real-life situationsIn your exams you may be asked to complete, or draw, graphs to represent given situations.

• Plot a distance time-graph to represent your journey to and from the club. You are at home getting ready to go out to your stamp collecting club.You leave your house and jog the 1000m to the club. You arrive 5 minutes later.You exchange stamps and chat for 1 hour, then leave for home. It takes you 10 minutes.Example 1.

• Choose a suitable scale for each axis.You are at home getting ready to go out to your stamp collecting club.You leave your house and jog the 1000m to the club. You arrive 5 minutes later.You exchange stamps and chat for 1 hour, then leave for home. It takes you 10 minutes.Distance from home (m)Time (minutes)0 10 20 30 40 50 60 70 802. Decide how many points to plot.You are at home getting ready to go out to your stamp collecting club.You leave your house and jog the 1000m to the club. You arrive 5 minutes later.You exchange stamps and chat for 1 hour, then leave for home. It takes you 10 minutes.3. Draw the graph with suitable accuracy4. Provide a title and label the axisThe journey to and from my stamp collecting clubDrawing graphs of real-life problems

• Distance from home (m)Time (minutes)0 10 20 30 40 50 60 70 80The journey to my stamp collecting clubYou leave your house to visit a friend. On the way, you stop at the local shop for 5 minutes to buy some sweets. You arrive at your friends house 1.5km, and 15 minutes, after you left home. You stay with your friend for 2 hours before leaving. It takes you 20 minutes to get home.

• Which graph?

• Which graph?

• Which graph?

• Sketching line graphsSketch a line graph to show the depth of water against time when water runs steadily from a tap into these jars.

• Write a short situation (like the stamp-club example) and give it to your partner to create an accurate line graph of.

Draw a simple container and ask your partner to sketch a line graph to show how the depth of water would change with time if filled by a steadily flowing tap.Challenge

*Gavin 7, Cathy 6, Brenda 4, Errol 5, Dennis 1, Freda 3, Alice 2.*Pupils can decide where the shop is on their journey, so graphs will vary slightly