# 6th Grade Math

## What Do I Need To Know About My Childâ€™s Education?

By the end of sixth grade, students should be able to demonstrate the following math abilities. Many skills are worked on throughout the year and build on each other.

### Compute with large numbers and decimals

- Quickly and accurately divide multi-digit numbers.
- Quickly and accurately add, subtract, multiply and divide multi-digit decimals.

### Negative numbers

- Know examples of how we use negative numbers, including negative fractions (ex. negative temperatures in the winter, negative balance in a check book).
- Use number lines to show negative numbers and negative fractions.

### Fractions

- Understand what it means to divide a fraction by a fraction.

### Ratios and rate problems

- Understand the idea of a ratio and solve ratio problems. For example, on a soccer team the ratio of girls to boys is 3 to 2. If there are 15 girls on the soccer team, how many boys are there?
- Solve problems involving rates and prices. For example, if you drive at 60 miles per hour for 7 hours, how far have you driven? Or, if it takes 7 hours to mow 4 lawns, then how many lawns could be mowed in 35 hours?

### Beginning algebra

- Understand numbers written with exponents, like 5
^{2}. - Use letters to stand for numbers when describing real-world situations, such as “I am 5 years older than Thomas, so I am T + 5."
- Solve problems using simple equations. For the example above, if I am 45 years old, the equation would be 45 = T + 5. So T = 40.
- Use the symbols for greater than (>) and less (<) than to describe situations where quantities are unequal. For example, if I pick x apples in a day, but I always need to pick more than 200, I could write x > 200 to describe how many apples I need to pick each day.

### Area, surface area and volume

- Find the area of triangles, rhombuses and parallelograms.
- Find the volume and surface area of an object shaped like a box (length x width x height).

### Data and statistics

- Find the average of a set of numbers.
- Display data using charts and graphs of various kinds.

### Sources

Everyday Mathematics

Michigan Department of Education Common Core State Standards