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"Lower Secondary"
Is a picture worth a thousand words, as the saying goes?
This picture shows the first 4 triangle numbers: 1, 3, 6 and 10 and how you can fit 2 identical copies of a triangle together to form a rectangle.
Can you use it to find the number of dots in the […]
Both these two numbers are recurring decimal fractions. The digits 12 are repeated again and again indefinitely.
0.12121212…
12.12121212…
Multiply the first number by 100. What do you get?
Subtract the smaller number from the bigger one. What do you get?
What does this tell you […]
The aim is to make square domino loops, like the one in the picture, from 4 dominoes matching the fractions, decimals and percentages. Start with any domino and find 2 other dominoes to match the ends of the first domino.
For example, the [3/10 and 10%] domino matches with 30% at […]
Can you find the easy way to calculate this square root without doing any long division?
Hint: Think of factors!
Click here for the EASY CALC worksheet.
Click for The EASY CALC Notes for Teachers
Click here for the EASY CALC poster.
First complete the number sentences by putting = + – x or ÷ in the boxes. Then explain why the pattern occurs.
Explore the pattern you get when you carry on these multiplications up to 37 × 54.
Click here for MAGIC OF 37 worksheet.
Click here for the Notes […]
In this game players combine two given numbers to get as close to a target as possible using one of the operations: addition +, subtraction -, or multiplication ×, and each number once and only once. For example, combining (-3) and (-5) to get as close as possible to the target of […]
Try the ages of your family and friends.
What happens?
Can you explain it?
Does this work for very old people over the age of 99? Why or why not?
Click here to download the MAGIC 13837 worksheet.
Click here for the Notes for Teachers for Years 6-10.
This is a game for one or two players.
The first player chooses a positive even number that is less than 50, and crosses it out on the 100 square grid.
The second player chooses a number to cross out. The number must be a factor or multiple of the previous number.
Players […]
Can you find numbers to replace the ? marks to solve this two by two multiplication puzzle? Can you explain how it works?
How does the diagram below connect with the multiplication?
Use the two grids to do the two multiplications:
72 × 25 […]
You might like to start by investigating the patterns you get when you shade multiples of a number on a grid. Download here
For the prime sieve investigation use a 100 square grid (download here):
Circle the number 2. Put a line through every multiple of 2 up to 100.
[…]
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