Across Lake Taupo

Purpose

The purpose of this activity is to engage students in using multiplicative and/or additive strategies to solve a measurement problem.

Achievement Objectives
GM3-1: Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), angle, temperature, and time.
NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Description of Mathematics

The background knowledge and skills that should be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.

Activity


A long distance swimmer takes 80 strokes to swim 100 metres. He wants to swim across Lake Taupo, a distance of 4 200 metres.

  1. How many strokes will it take for him to swim across the lake?
  2. If he can swim at a rate of 60 strokes per minute, how many minutes could he swim across the lake in?
  3. Can he expect to beat the 2015 champion swimmer who crossed the lake in a time of 51 minutes and 48 seconds?

 

The procedural approach  (show more)

  • The student is able to solve the measurement problem in a series of multiplicative and/or additive steps.

The conceptual approach  (show more)

  • The student is able to solve the measurement problem by breaking it into a series of multiplicative and/or additive steps.
Add to plan

Log in or register to create plans from your planning space that include this resource.


Level Three