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Guide and features
Guide and features
Science, Technology, Engineering and Mathematics
Featured Early Years Foundation Stage; US Kindergarten
Featured UK Key Stage 1&2; US Grades 1-5
Featured UK Key Stage 3-5; US Grades 6-12
Featured UK Key Stage 1, US Grade 1 & 2
Featured UK Key Stage 2; US Grade 3-5
Featured UK Key Stages 3 & 4; US Grade 6-10
Featured UK Key Stage 4 & 5; US Grade 11 & 12
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Big and Small Numbers in Biology
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Using the Haemocytometer
The haemocytometer is an important piece of scientific apparatus. This interactivity will allow students to practice the relevant skills of proportional reasoning required for its use.The
to the problem provides lots of scientific insight into the real use of such a piece of equipment,
This resource could be used for whole class or individual use. The configuration for the question is randomly generated each time the refresh button is pressed. This will require students to stay on their toes whilst answering the questions.
Once students have become skilled in the use of the interactivity, you might like to try a race: project a configuration onto the board and the first student to obtain the correct answers is the winner, allowing them to balance speed with accuracy.
There are two key issues involved with using a haemocytometer:
1) The sample chosen on the slide might not uniformly represent the density in the big sample of the medium
2) The cell count might be made difficult due to overlapping cells on the microscope slide.
Students should realise that they always need to consider the questions
1) Is my sample uniform?
2) Are the obscured cells on the microscope slide.
You could discuss these issues with the help of multiple choices of cells and higher or lower density of medium (select these on the interactivitiy). Don't forget that you can zoom in and drag the grid around to focus on issues of overlapping cells.
Have you understood the configuration of the grid? How big is the whole grid?
Is there an obvious order in which to work out the various answers? Why?
Given the details for a question, how might you jump straight from the count of the cells on the screen to the number of cells in the original sample?
Can students find algebraic answers to the questions for a general set of inputs?
In what situations might the haemocytometer be more likely to give inaccurate results? How accurate would you expect the results to be in everyday usage?
At first, you might like to show the answers and ask students to replicate them.
Mathematical reasoning & proof
Making and proving conjectures
Estimating and approximating
Calculating with ratio & proportion
STEM - living world
Meet the team
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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Millennium Mathematics Project