1. Prove it! The idea that scholars will agree or disagree with is, “To multiply a whole number by ten, you can simply put a zero at the end of the original number, and you’ll have the product.”
2. Prove it!” The idea that scholars will agree or disagree with is, “There are zero hundreds in 2032.”
3. Prove it! The idea that scholars will agree or disagree with is, “I would rather have a million pennies than a hundred hundred-dollar bills.”
4. Prove it! The idea that scholars will agree or disagree with is, “The number 1 is both a prime number and a square number.”
- 1 is technically a square number. It’s neither prime nor composite.
5. Prove it! The idea that scholars will agree or disagree with is, “45 + 16 is the same as 40 + 10 plus 5 + 6. So, 45 x 16 is the same as 40 x 10 plus 5 x 6.”
6. Prove it! The idea that scholars will agree or disagree with is, “The perimeter of a square with whole-number side lengths is always a composite number.”
- This idea is true. We can find the perimeter of a square by multiplying the side length by 4. So, the perimeter is divisible by 4, making it a composite number.
7. Prove it! The idea that scholars will agree or disagree with is, “If we compare two fractions, the one with the smaller denominator is a bigger fraction.”
- Scholars must not overgeneralize this idea that they developed in Grade 3! Scholars must recognize that this only holds true if the numerators are the same.