This unit examines the use of rotation to specify angles as an amount of turn. The context of the unit, irrigating trees, requires the calculation of lengths and measurement of angles based on a four-quadrant number plane.
This unit looks at the representation of locations of points on a four-quadrant number plane. Coordinates, or ordered pairs, give the horizontal and vertical distance of the point from an origin (0, 0). Like the starting point on a ruler, the choice of origin is set for a purpose, or for convention so all people use the same position as a starting point. For example, on the number plane below the point (5,11) is located 5 measures to the right of, and 11 measures up from, the origin. The point (-10, 3) is located 10 measures to the left of, and 3 measures up from, the origin. The first number in a coordinate, the x-value, always gives the horizontal measure and the second number, the y-value, always gives the vertical measure.
The learning opportunities in this unit can be differentiated by providing or removing support to students and by varying the task requirements. Ways to differentiate include:
The context for this unit is about irrigating trees on a lifestyle block. You might choose to base the story on a different location that has meaning to your students, such as a local marae, park, gardens, or school grounds. The idea of imposing a coordinate plane on a location is easy using tools like Google Maps. Students may be interested in locations from different parts of the world, such as the location of island nations in the Pacific Ocean, or major landmarks in Europe.
Dear family and whānau,
This week our class is investigating watering trees on a lifestyle block. The owners want to use programmable water jets to save water and accurately wet the trees and not the surrounding grass and weed.
Here is an example of setting out the trees in an octagonal shape.
Work with your students to find the best place to locate the water jet.
To programme the jet, you need a distance and a compass bearing (angle).
Printed from https://meaningfulmaths.nt.edu.au/mmws/nz/resource/irrigating-trees at 8:42pm on the 26th February 2024