Number: Ratios and Proportion · JHS2 Mathematics

Lesson notes

Learning Objectives

Indicator: B8.1.4.1.3 - Apply the knowledge of speed to draw and interpret travel graphs or distance-time graphs.

By the end of the lesson, learners can:

Plot points on a distance-time graph from a verbal description of a journey, correctly showing distance against time.
Draw a complete travel graph with labelled axes, title and a consistent scale for both distance and time.
Read values from a given distance-time graph to answer questions about distance travelled and time taken.
Interpret the slope (steepness) of a segment of a travel graph as fast, slow, stopped or returning, using prior knowledge of speed from B8.1.4.1.2.
Describe a simple journey in words from a given travel graph, identifying stops and changes in speed.

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Curriculum details

Strand: Number (Strand 1)
Sub-strand: Number: Ratios and Proportion (1.4)
Content standard: B8.1.4.1 - Demonstrate an understanding of ratio, rate and proportions and use it these to solve real-world mathematical problems. Notes: put a passage for the graph
Indicator: B8.1.4.1.3 - Apply the knowledge of speed to draw and interpret travel graphs or distance-time graphs.
Suggested placement: Term 2, Week 3 (Week 15 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 107
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1 Draw a graph for a passage on a distance time graph.
i) A trader travels in a car from Buduata to Adawso. The distance between the two towns is 20miles. After 60 minutes, the trader makes a stop at Assin which is 8 miles from Buduata. 36 minutes later, he continues his journey to Adawso in 24 minutes. After resting for 12 minutes, he makes a return journey to Buduata in 48 minutes.

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: Adawso; 20; Distance; (Miles); Asin; 16; 12; 8; 4; Buduata; 0800; 0900; 1000; 36 mins or; 0.6 hr; (b) How far is it from; Asin to Adawso?; 12 miles; (c) Average speed; from Asin to Adawso?; S = d/t = 12/0.4; = 30 mph; (d) Average speed on;.

E.g.2 Interpret a given travel graph