Starter quiz
- What does LCM stand for?
- 'lowest common multiple' ✓
- Sam makes two towers of blocks. One uses blocks that are 15 cm high, the other has blocks that are 12 cm high. What height will the towers first be the same height? Is this an LCM or HCF problem?
- 'LCM' ✓
- Sam makes two towers of blocks. One uses blocks that are each 15 cm high, the other has blocks that are 12 cm high. What height will the towers first be the same height?
- '60 cm' ✓
- Aisha has 20 white flowers, 45 red flowers and 30 yellow flowers. Aisha wants to make identical bunches. What is the greatest number of bunches she can make?
- 2
- 3
- 4
- 5 ✓
-
- Laura goes to a club every 6 days, Andeep goes to the same club every 10 days and Lucas goes every 15 days. They all went today. How many days will it be until they all go on the same day again?
- This is an HCF problem.
- This is an LCM problem. ✓
-
- Laura goes to a club every 6 days, Andeep goes to the same club every 10 days and Lucas goes every 15 days. They all went today. How many days will it be until they all go on the same day again?
- '30' ✓
Exit quiz
- The product of two repeated integers is called a __________.
- multiple
- square number ✓
- cube number
- factor
-
- True or false? All integers are square numbers.
- True, you can square any integer.
- False, not all integers can be written as the product of two repeated integers. ✓
-
- What are the dimensions of the largest square you can make with 90 counters?
- 7 by 7
- 8 by 8
- 9 by 9 ✓
- 10 by 10
-
- Which of the following is both a square number and a cube number?
- 4
- 8
- 36
- 64 ✓
-
- Which of the following is not written as a product of prime factors?
-
-
- ✓
-
-
- Which of the following are a correct answer to a string of consecutive numbers that satisfies: even, prime, composite, square
- 20, 21, 23, 24
- 22, 23, 24, 25 ✓
- 6, 7, 8, 9 ✓
- 12, 13, 14, 15
-
Worksheet
Loading worksheet ...
Presentation
Loading presentation ...
Lesson Details
Key learning points
- Knowledge of factors and multiples can be used to solve problems
- Knowledge of squares and cubes can be used to solve problems
- Knowledge of squares, cubes, multiples and factors can used to solve problems
Common misconception
Real life measurements aren't always integers. Use of integers can give more a practical application
e.g. find the largest with 200 blocks, the cbrt(200) is not an integer so we use 5 x 5 x 5 =125
Keywords
Square number - A square number is the product of two repeated integers
Cube number - A cube number is the product of three repeated integers
Multiple - A multiple is the product of a number and an integer
Numerical factor - A numerical factor is a factor that is an integer
+