Embedded Files
Overview
Overview
Hierarchical inclusion is the idea that all numbers preceding a number are included in the value of another selected number.
Students who understand hierarchical inclusion understand that within a group of 5 items, there is also a group of four items, and within that group of four there is a group of three and so on.
It is an important concept for students to understand when they are composing and and decomposing numbers.
While students are learning the counting principles, these principles, such as hierarchical inclusion, are important foundational skills that must be consolidated into a strong understanding. You will find that many of the counting principles are interconnected. Once students have a solid understanding of the counting principles, many of them will become key ideas that support students as they develop addition/subtraction strategies for learning mathematics.
Supporting Students with Hierarchical Inclusion
Supporting Students with Hierarchical Inclusion
To support students learning the concept of hierarchical inclusion ask students to name a number that is one larger or one less than a given number. Educators can also ask students to name a number inside of another number (e.g., "What is a number that is inside 7?").
Games to Promote Hierarchical Inclusion
Games to Promote Hierarchical Inclusion
Fill the Tower (version 2)
Fill the Tower (version 2)
This game provides an opportunity for students to practice their understanding of Hierarchical Inclusion in a game. They will take turns rolling a die then filling their towers. It's a race to see who can fill all their towers first!
(Adapted from Lawson, pg. 161)
Fill the Tower (version 2) game instructions (English)
Fill the Tower game board (BLM) (English)
Fill the Tower game board (BLM) (French)
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