- DOK 1 Example (Dividing Fractions):
$\frac{4}{9} \div \frac{2}{5} = \frac{4}{9} \times \frac{5}{2} = \frac{20}{18} = \frac{10}{9}$
- DOK 2 Example (Dividing Fractions):
One possible pair: $\frac{4}{6} \div \frac{2}{3} = \frac{2}{3}$
Another possible pair: $\frac{8}{9} \div \frac{4}{3} = \frac{2}{3}$
- DOK 1 Example (Solving Two-Step Equations):
$2x + 3 = 9$ → $2x = 6$ → $x = 3$
- DOK 2 Example (Solving Two-Step Equations):
Positive x: $2x + 1 = 7$ → $x = 3$
Negative x: $3x + 5 = -1$ → $x = -2$
- DOK 1 Example (Exponents):
$3^4 = 3 \times 3 \times 3 \times 3 = 81$
- DOK 2 Example (Exponents):
$2^6 = 64$ or $8^2 = 64$
- DOK 1 Example (Solving Equations with Variables on Both Sides):
$3x + 2 = -2x + 4$ → $5x = 2$ → $x = \frac{2}{5}$
- DOK 2 Example (Solving Equations with Variables on Both Sides):
To create an equation with no solution, make the coefficients of x equal but constants different.
Example: $3x + 1 = 3x + 5$ (no solution)
Parent Tip: Review the logic above to help your child master the concept of secondary mathematics.