10 Improper Fractions (The Abstract)$\frac{5}{4}$$\frac{7}{2}$$\frac{10}{3}$$\frac{9}{5}$$\frac{12}{4}$ (A "sneaky" whole number)$\frac{13}{6}$$\frac{17}{8}$$\frac{11}{2}$$\frac{15}{7}$$\frac{23}{10}$10 Mixed Numbers (The Re-organized)$1 \frac{1}{4}$$3 \frac{1}{2}$$3 \frac{1}{3}$$1 \frac{4}{5}$$3$ (or $\frac{3}{1}$)$2 \frac{1}{6}$$2 \frac{1}{8}$$5 \frac{1}{2}$$2 \frac{1}{7}$$2 \frac{3}{10}$10 Visual Bar Models (The Conceptual)To maintain a low cognitive load, I recommend using a consistent "length" for the whole bar, simply changing the internal divisions.Model A: Two bars divided into 4 parts each. 5 parts shaded. (Matches $\frac{5}{4}$ and $1 \frac{1}{4}$)Model B: Four bars divided into 2 parts each. 7 parts shaded. (Matches $\frac{7}{2}$ and $3 \frac{1}{2}$)Model C: Four bars divided into 3 parts each. 10 parts shaded. (Matches $\frac{10}{3}$ and $3 \frac{1}{3}$)Model D: Two bars divided into 5 parts each. 9 parts shaded. (Matches $\frac{9}{5}$ and $1 \frac{4}{5}$)Model E: Three bars divided into 4 parts each. All 12 parts shaded. (Matches $\frac{12}{4}$ and $3$)Model F: Three bars divided into 6 parts each. 13 parts shaded. (Matches $\frac{13}{6}$ and $2 \frac{1}{6}$)Model G: Three bars divided into 8 parts each. 17 parts shaded. (Matches $\frac{17}{8}$ and $2 \frac{1}{8}$)Model H: Six bars divided into 2 parts each. 11 parts shaded. (Matches $\frac{11}{2}$ and $5 \frac{1}{2}$)Model I: Three bars divided into 7 parts each. 15 parts shaded. (Matches $\frac{15}{7}$ and $2 \frac{1}{7}$)Model J: Three bars divided into 10 parts each. 23 parts shaded. (Matches $\frac{23}{10}$ and $2 \frac{3}{10}$) | Chalk