1. Fraction must be taught before whole numbers
  2. Multiplication and division must precede addition and subtraction
  3. Number concepts and patterns are building blocks to algebraic thinking
  4. Proportional Reasoning does not involve algebraic thinking
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Option 3 : Number concepts and patterns are building blocks to algebraic thinking

Mathematics is a subject that has a number of concepts and those concepts are interconnected with each other. A child can't learn multiplication if he does not know addition that is why the concepts are arranged in a hierarchical order so that the children will depend on their previously learned concepts when they get promoted from one grade to another. 

Number concepts and patterns are building blocks to algebraic thinking is an example of this because

  • As algebra includes the basic operations on numbers number concepts play an important role in understanding algebra.
  • Algebra also contains many identities which are to be understood to solve problems in algebra here patterns play an important role as a basic of algebra.
  • If a child who doesn't know number concepts and patterns is directly introduced to algebra he/she may not understand anything as these two are an important and basic part of algebra.
  • It is always suggested to teach children the basic concepts and continue the flow from basic to advanced.

Hence Number concepts and patterns are building blocks to algebraic thinking is an example of the statement new concepts and previously learned concepts are interconnected.

On the other hand, all remaining options are not true regarding this statement because they indicate the reverse order of concepts where children can understand nothing.

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