Benchmarks

Below are the benchmarks and their respective levels that I expect Grade Nine students to have memorized:

Beginning

Integers, denominators of 2, 4 and 10 (halves, quarters, tenths and decimal equivalents)

Emerging

Integers, denominators of 2, 4 and 10 (halves, quarters, tenths and decimal equivalents)

AND denominators of 3 and 5 (thirds and fifths)

Progressing

Integers, denominators of 2, 4 and 10 (halves, quarters, tenths and decimal equivalents)

AND denominators of 3 and 5 (thirds and fifths)

AND denominators of 9 (ninths)

Advancing

Integers, denominators of 2, 4 and 10 (halves, quarters, tenths and decimal equivalents)

AND denominators of 3 and 5 (thirds and fifths)

AND denominators of 9 (ninths)

AND denominators of 6 (sixths)

Mastering

Integers, denominators of 2, 4 and 10 (halves, quarters, tenths and decimal equivalents)

AND denominators of 3 and 5 (thirds and fifths)

AND denominators of 9 (ninths)

AND denominators of 6 (sixths)

AND denominators of 7 (sevenths) along with equivalent fractions that can be reduced to any denominator