Factor Tree Game
Designed as a simple game for Year 5 maths rotations, the Factor Tree Game requires students to determine all 'factors' of a given whole number.
You can easily extend this game by asking students to identify the Highest Common Factor (HCF) or Lowest Common Factor (LCF) across two or more cards.
You could also challenge students to write a problem to match each card, e.g. There are 24 students in the classroom. How many ways could you group students so that each group contains the same number of students, and there are no students left out?
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Learning goals
- We are learning to express numbers as products of their factors, identify multiples and apply divisibility rules to large numbers.
- We are learning to create and use algorithms using multiple steps to experiment with factors, multiples and divisibility and identify and describe emerging patterns.
- We are learning to identify and describe factors and multiples of whole numbers and use them to solve problems.
Curriculum alignment
AC9M5N02
9
Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another
AC9M5N10
9
Create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns
ACMNA098
8.4
Identify and describe factors and multiples of whole numbers and use them to solve problems
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-4NA
old
Orders, reads and represents integers of any size and describes properties of whole numbers
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-8NA
old
Analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA3-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
VCMNA181
Identify and describe factors and multiples of whole numbers and use them to solve problems
VCMNA192
Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
VCMNA194
Follow a mathematical algorithm involving branching and repetition (iteration)
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.
Teach it your way
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