maths - lesson 1 monday 18th may 2020 interpreting line graphs€¦ · interpreting line graphs...
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Maths - Lesson 1
Monday 18th May 2020
Interpreting Line Graphs
Interpreting Line Graphs
This line is called the Y axis. It has numbers going up it. Here it represents the temperature
The numbers follow a scale. Here they go up in multiples of 1.
It is always titled. Here the title is: Temperature.
Every line graph has to have a title to tell people what the data is about.
The continuous line is used to show how this data changes over time. To interpret a line graph you begin at x axis (at the bottom) and follow the time up to the point where it meets the line. Then, you can see which number it matches on the Y axis (to the left.) Sometimes it helps to draw a line to help you. I have done this for 9am. At 9am, the temperature is 4°C This line is called the X axis. Here your X axis represents points in time.
It is also always has a title. Here the title is: Time.
Discrete Data Fixed responses. E.g. children’s favourite colours.
Continuous Data
A continuing set of data that can change over time. Examples of continuous data are height or temperature. E.g. If recording the temperature you would have a continual list: 1°C, 2°C, 3°C etc. When reading this data, values can lie between these set measurements e.g. 1.5°C
Explanation Page
A Line Graph to Show the Temperature of the Playground
From this line graph, we can interpret the findings (learn more from reading the data.) 6°c.
8°c . We can also read line graphs like a story, for example:
4°c. 6°c 8°c
9°c
Interpreting Line Graphs
Have a go at answering these questions about the data shown above:
1. What temperature was it on Sunday? 2. What was the temperature on Wednesday? 3. Which day had a temperature of 23°C? 4. Which day had a temperature of 26°C? 5. Which day had the lowest temperature? 6. What happened to the temperature after Thursday? 7. On which day was the temperature first recorded? 8. When was the final temperature recorded? 9. How many days was the temperature recorded for? 10. What is the hottest temperature on the scale? 11. How many degrees did the temperature fall between Monday and Tuesday? 12. How many degrees did the temperature rise between Friday and Saturday?
Task: Use your learning from the previous page to help you to interpret this line graph.
Task Page
A Line Graph to Show Temperature Change Over a Week.
Fancy a challenge? Write a short story to explain how the temperature changed throughout the week. Use the explanation page for an example of how to do this.
Days of the week
Tem
pera
ture
(°C
)
ANSWERS
Have a go at answering these questions about the data shown above:
1. What temperature was it on Sunday? 25°C 2. What was the temperature on Wednesday? 22°C 3. Which day had a temperature of 23°C? Friday 4. Which day had a temperature of 26°C? Tuesday 5. Which day had the lowest temperature? Thursday 6. What happened to the temperature after Thursday? It rises / increases / gets hotter 7. On which day was the temperature first recorded? Sunday 8. When was the final temperature recorded? Saturday 9. How many days was the temperature recorded for? 7 days 10. What is the hottest temperature on the scale? 28°C 11. How many degrees did the temperature fall between Monday and Tuesday? 2°C 12. How many degrees did the temperature rise between Friday and Saturday? 4°C
A Line Graph to Show Temperature Change Over a Week.
Days of the week
Tem
pera
ture
(°C
)
Maths - Lesson 2
Tuesday 19th May 2020
Interpreting Line Graphs
Interpreting Line Graphs Task Page
Task 2: Answer these questions about the data shown above: 1. What was the temperature at 9.00am? 2. What was the temperature at 10.30am? 3. At which time was it 24°C? 4. At which time was it 10°C? 5. Which time of day has the coolest
temperature? 6. During which time was the temperature hottest? 7. Which two times had the same temperature? 8. What happened to the temperature after 1.30pm?
Task 1: Write down any interpretations that you can make from this data.
12°c
3°c
Fancy a challenge?
Statement T / F
Yesterday, the temperature reached over 24°c.
It was 9°C at both 9.00am and 6.00pm
Statement T / F
The temperature dropped after 9.00am
The scale of the X-axis increases in intervals of 3°c.
Values Between Intervals: 6:00pm
4:30pm
3:00pm
1:30pm
12:00pm
10:30am
9:00am
3°c
For example: After annotating the graph, we can see that the temperature at 12:00 lies between 18°c and 21°c. I can see that where my line meets the Y-axis is closer to 18°c. I can use this to work out that the temperature at 12:00 must be 19°c not 20°c.
19°c
20°c
ANSWERS
Task 2: Answer these questions about the data shown above:
1. What was the temperature at 9.00am? 9°c 2. What was the temperature at 10.30am? 12°c 3. At which time was it 24°C? 1:30pm 4. At which time was it 10°C? 6:00pm 5. Which time of day has the coolest temperature? 9:00am 6. During which time was the temperature hottest? 1:30pm 7. Which two times had the same temperature? 3:00pm and 4:30pm 8. What happened to the temperature after 1.30pm? It dropped / got cooler
Fancy a challenge?
Statement T / F
Yesterday, the temperature reached over 24°C. False
It was 9°C at both 9.00am and 6.00pm False
Statement T / F
The temperature dropped after 9.00am False
The scale of the X-axis increases in intervals of 3°C
False
6:00pm
4:30pm
3:00pm
1:30pm
12:00pm
10:30am
9:00am
Maths - Lesson 3
Wednesday 20th May 2020
Creating Line Graphs
Year 4 grew a plant. They measured the height of the plant every week for 6 weeks. Here is a table showing how the plant grew over this time period:
Creating Line Graphs
Week 1 Week 2 Week 3 Week 4 Week 5 Week 6
4cm 7cm 9cm 12cm 14cm 17cm
Fancy a challenge? Then answer the following questions:
1. Between which two weeks did the plant reach a height of 10cm?
2. How many cm did the plant grow between week 1 and 2?
3. What other interpretations can you make from this data? List them in your book.
Use this information to create your own line graph. Your graph should include: A suitable title above it. A title on the Y and X axis. The weeks listed under the X axis. An appropriate scale in cm on the Y axis. (This doesn’t need to go much higher than
17cm.) Points (crosses or dots) marked onto the graph to represent the height of the plant each
week. A line joining these points.
You may wish to look at the examples from yesterday and Monday to help you to create this line graph. You can use the squares below or draw this in your books.
Task Page
ANSWERS
Week 1 Week 2 Week 3 Week 4 Week 5 Week 6
4cm 7cm 9cm 12cm 14cm 17cm
Fancy a challenge?
1. ) Week 3 and Week 4
2. ) 3cm
A Line Graph to Plant Growth Over 6 Weeks.
Hei
ght
(cm
)
Weeks
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Here is an example of a line graph presenting this data. Yours may be bigger or smaller depending on how you labelled your axis. This example has a scale of 1. You could also have had a scale of 2 or 3.
A suitable title above it. √
A title on the Y and X axis. √
The weeks listed under the X axis. √
An appropriate scale in cm on the Y axis. √
A point (a cross or dot) for each height in the table. √
A line joining the points. √
Maths - Lesson 4
Thursday 21st May 2020
Reasoning with Graphs
Reasoning with Graphs
1. Jack launched a toy rocket into the sky. After 5 seconds the rocket fell to the ground. Which graph shows this? Explain how you know.
2. Rosie makes a line graph showing the temperature of her garden every day for a week.
2a. List all of the mistakes you notice in this line graph.
2b. What advice would you give to Rosie about creating a line graph?
Tem
pera
ture
(°C
)
Now complete questions 3 and 4 on the next page.
If you fancy a challenge after that, come back and draw a corrected graph for Rosie. Wednesday had a
temperature of 13°C.
Task Page
Reasoning with Graphs
4. Miss Cook makes a bar graph of people’s favourite flavours of ice cream.
4a. Is Miss Cook correct?
4b. How do you know? Prove it with jottings!
3. Miss Johnson created a line graph to show the number of dogs walking in the park one afternoon.
3a. Why is Miss Johnson incorrect?
3b. What would be a better way of presenting this data?
A Line Graph to Show the Number of Dogs in the Park
ANSWERS
1. Graph A because the height of the rocket increases and then decreases quickly again, returning to a height of 0 at 5 seconds.
Note: Graph B shows an object going up for 5 seconds and then staying at the same height for another 3 seconds.
2a. (Mistakes with the graph)
There is no title for the line graph.
There is no line connecting Monday and Tuesday.
The x-axis isn’t labelled.
Wednesday is missing from the graph.
Saturday and Sunday are in the wrong order.
The scale of the x-axis begins in multiples of 2 and then changes to multiples of 1.
2b. The advice I would give Rosie is: To carefully check that she has correctly labelled her axis Using a suitable scale on your Y-axis (that doesn’t change!) To connect all of the points on her graph Check that has to included a title for her graph.
Tem
pera
ture
(°C
)
3a. Miss Johnson is incorrect because you cannot have 1.5 dogs.
3b. A better way of presenting this data would be using a bar chart, pictogram or table because the data is discrete.
4a. Miss Cook is incorrect.
4b. She has read the bar chart incorrectly. 15 people chose vanilla, 19 people chose chocolate, 10 chose strawberry and 12 chose mint. That means 56 people were asked altogether. I know this because15 + 19 + 10 + 12 = 56.
Maths - Lesson 5
Friday 22nd May 2020
Times Table Flowers
Times table Flowers
Create your flower by using the same steps as Option Two. This time write your division facts on top of the petals and answers underneath.
Flower 1: Create your first flower with the times table of your choice in the middle (e.g. 7). Write the numbers it could be multiplied by on the petals (1-12 . Flower 2: On the second flower, write the answers on the matching petal. Combine the Flowers: Carefully, cut out both flowers. Stick Flower 1 on top of Flower 2 by gluing the centres together. If you lift the petal flap it should have the answer to your multiplication calculation underneath!
Create a flower with the times table of your choice in the middle (e.g. 7). Write the numbers 1-12 on the smaller, inner petals and the answers on the larger outer petals. Choose this option if you don’t have glue.
