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Evaluating Statements about Rational and Irrational Numbers Projector Resources

Poster with Headings

Instructions for Always, Sometimes or Never True Choose a statement. Try out different numbers. Write your examples on the statement card. 2. Conjecture: decide whether you think each statement is always, sometimes or never true. Always true: explain why on the poster. Sometimes true: write an example for which it is true and an example for which it is false. Never true: explain why on the poster.

Always, Sometimes or Never True? The sum of a rational number and an irrational number is irrational True for: False for:

Always, Sometimes or Never True? The circumference of a circle is irrational True for: False for:

Always, Sometimes or Never True? The diagonal of a square is irrational True for: False for:

Always, Sometimes or Never True? The sum of two rational numbers is rational True for: False for:

Always, Sometimes or Never True? The product of a rational number and an irrational number is irrational True for: False for:

Always, Sometimes or Never True? The sum of two irrational numbers is irrational True for: False for:

Always, Sometimes or Never True? The product of two rational numbers is irrational True for: False for:

Always, Sometimes or Never True? The product of two irrational numbers is irrational True for: False for: