Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Count the Crayons

Age 5 to 7
Challenge Level Yellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

Count the Crayons

Count the Crayons printable sheet

Take a look at these pictures:


 


Estimate how many pencils you can see in each one.
What was your method?
How else could you do it?
Is there one way that is particularly useful? Why?

Why do this activity?

This activity is designed to support children as they begin to estimate by grouping in 10s.
It will encourage the idea of different possible answers and children talking about, and justifying, their methods.

Possible approach

Empty a tray of pens or pencils onto the floor and ask the class how they could go about working out how many there are. This is a good opportunity for talk partners and you are likely to just get counting strategies at this stage.

As the class share their ideas, get them to consider how long each approach would take.
You might need to jumble the pens up and maybe add/remove some before challenging the class to now decide how many pens there are, given only a very short amount of time. The pens could be hidden and then revealed briefly. What do the class discover? Counting strategies take too long but are very accurate.

Tell the class that you do not need an exact amount, an approximation will do. Ask children to talk to a partner about how they could do this. Then test the strategies as the pens are briefly revealed again. Collate ideas and draw out the idea that grouping into 10s is useful.

The pens can then be revealed a final time and the class can be challenged to use this grouping into 10s strategy. Collate answers and suggest that this is our range of possible solutions.

Key questions

How did you come to your answer?
Did imagining grouping the items into 10s help you?
Did anyone on your table use a different approach?
How many do you think there are?
Does everyone agree?
What is the range of answers?

Possible extensions

You could show either a tray or an image of a large number of pencils to children and challenge them to do a similar thing. How about grouping in 100s?

Possible support

Tracing paper or a transparent sheet that can be placed over an image may help the children to group items in the picture into 10s.

Related Collections

  • Back to NRICH at Every Stage resources

You may also like

I'm Eight

Find a great variety of ways of asking questions which make 8.

Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Noah

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo