Currently viewing the tag: "Algebraic expressions"
Multiply out these expressions:
What do you notice?
Does this pattern continue?
Can you prove it?
What does this tell you about the sum to n terms of the geometric series with first term 1 and common ratio r?
Why do we get a formula for all values of r except r = 1?
Explain […]
This lesson is about moving between different representations of distance-time functions, namely between graphs, stories and tables. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.
During a short introduction the teacher displays a […]
This lesson is about moving between algebraic equations and the statements that they represent. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.
During a short introduction the teacher emphasises the importance of defining […]
This lesson is about
different representations of algebraic relationships, namely equations, graphs, tables and words. This activity should be given to the class as a formative assessment activity: it is designed to provide the teacher with information about the learners’ current levels of understanding.
After a short introduction, during which the teacher models […]
Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?
Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?
Now imagine breaking the […]
If three of the four expressions: 2x – 3 and x + 8 and 2x + 3 and 30 – x are equal, find their value and which expression is the odd one out.
Copy and label the diagram and explain the connection between the diagram and the first part of the […]
Here is an alternative version of the “Think of a Number” trick.
Think of two whole numbers under 10.
Take one of them and add 1.
Multiply by 5.
Add 1 again.
Double your answer.
Subtract 1.
Add your second number.
Add 2.
Double […]
Is it always possible, from any set of five positive whole numbers, to choose three numbers that add up to a multiple of 3?
For example, if you start with 4, 7, 11, 12 and 18, you can choose 4, 11 and 12 which add up to 27 (a multiple of 3).
[…]
Each shape has a different value. The totals for the rows and columns are given. Can you find the values and the total of the first column?
Click here for the Notes for Teachers.
This problem is adapted from the NRICH task What’s it worth? with permission of the University […]
In some countries temperature is measured in degrees Celsius (originally called degrees Centigrade) and in other countries it is measured in degrees Fahrenheit.
The freezing point of water is 0 degrees Celsius and 32 degrees Fahrenheit.
The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit.
Draw a graph […]
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