Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
reSolve: Tree Biomass
In this sequence of two lessons, students investigate how many trees would be required to supply paper for their school for a year. Students use similar triangles, Pythagoras' Theorem and algebra to design and construct a Biltmore stick, used to measure the diameter and height of a tree. They measure trees, calculate their volume and use the density of the tree to find the dry mass of the tree. They estimate the amount of paper used in the school and hence estimate the number of trees that need to be cut down to supply the school's paper needs. The lessons are outlined in detail including curriculum links, vocabulary, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry program.
|Year level(s)||Year 8, Year 9|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||volume, cylinders, ratios, scale, similarity|
|Strand and focus||Measurement, Build understanding, Apply understanding|
|Topics||Area, volume and surface area, Proportion, rates and ratios, Pythagoras and trigonometry|
|AC: Mathematics (V9.0) content descriptions||
Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles
Solve problems involving the volume and surface area of right prisms and cylinders using appropriate units
Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles
Understanding units of measurement (P9, P10)
Understanding geometric properties (P7)
Proportional thinking (P7)
Multiplicative strategies (P9)
reSolve Maths by Inquiry
© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.