### WARMUPS

We recommend to begin each lesson with a short warmup. Warmups
are **optional**.

A warmup is a 5 minutes (or less) auto-grading quiz that allows your tutor
to identify problem areas that interfere with the proper
development of mathematical skills in the future.

All the concepts and skills listed below are expected to be known
by students by the end of grade 8. However, if students learned
mathematics ineffectively in the past, new skills' acquisition
becomes very difficult in grades 9-12 as the pace and volume of
knowledge becomes increasingly more intense.

Once a problem is identified it's easy to correct from there, and
build a strong foundation.

Try out a few or all warmups and check your score.

**Warmup TOPICS**

Whole and decimal numbers, fractions, rounding:

Middle School Math, Warmup #1

Word problems, number lines, negatives, subtraction, addition, multiplication:

Middle School Math, Warmup #2

Multiplication by tens, divisions by tens, quotient, remainder, long division algorithm, trailing zeros:

Middle School Math, Warmup #3

Fractions on number lines, multiplying decimal
numbers, division of decimals, divisions and fractions:

Middle School Math, Warmup #4

Divisibility, word problems based on division:

Middle School Math, Warmup #5