Efficiently estimating journeys from non-linear graphs
The starter and exit quiz of the lesson “Efficiently estimating journeys from non-linear graphs”, from the unit “Real-life graphs” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
We could estimate the distance travelled by the vehicle modelled in this speed-time graph by mapping __________ onto the graph.
We could improve the accuracy of this estimation by __________.
Map one polygon onto the graph to estimate the distance travelled between 0 and 4 seconds. ___ metres.
Map two polygons onto the graph to estimate the distance travelled between 0 and 8 seconds. Give your answer to 1 d.p. ___ metres.
Fully factorise 15ab-9abc+3a^2
What are the common factors in this calculation? {1\over4}(3+7)\times{h}+{1\over4}(7+11)\times{h}+{1\over4}(11+20)\times{h}
To be more efficient, before calculating {1\over2}(3+7)\times{5}+{1\over2}(7+11)\times{5}+{1\over2}(11+20)\times{5} we could __________ and __________.
Use four strips of equal width to estimate the distance travelled between 0 and 8 seconds. Give your answer to 1 d.p. ___ metres.
What are the hidden labels on this diagram?
Which of the below is the Trapezium Rule?
When using the Trapezium Rule which of the below calculates h, the width of the strips? n is the number of trapezia.
Use the Trapezium Rule to estimate the area under this curve between t = 0 and t = 20 using 5 trapeziums. ___ metres.
