and formulas for finding the circumference and area of a circle.Mathematics in Grade 6
In grade 6, students compute with different kinds of numbers, including whole numbers, positive fractions, and positive decimals. They also work with negative whole numbers, such as –1 or –8.
Grade 6 students apply their skills to abstract and practical problems. They analyze data and decide if something is likely to happen. They understand basic statistical concepts, such as mean, median, mode, and range. They compute percentages and calculate sales discounts, tips, and interest.
Exploring
algebra, students solve simple equations using models, graphs, and
paper and pencil methods. In geometry, they learn about
and formulas for finding the circumference and area of a circle.
TOPICS COVERED
Expectations for what a child should be able to do increase from one grade to the next.
• Understanding numbers and how they work, such as adding, subtracting, multiplying, and dividing (Number Sense and Operations)
• Investigating patterns and using symbols (such as x + y = z) to analyze mathematical situations and change (Patterns, Relations, and Algebra)
• Identifying shapes, sizes, and relationships (Geometry)
• Using number relationships to find out size and volume (Measurement)
• Doing experiments, collecting data, and using the information to decide what will happen (Data Analysis, Statistics, and Probability)
WHAT YOUR CHILD SHOULD KNOW
BY THE END OF GRADE 6, YOUR CHILD SHOULD KNOW AND BE ABLE TO PERFORM THESE SKILLS:
1. Know that numbers and their negatives (such as 2 and –2, 450 and –450) add up to 0 and are on opposite sides and at equal distance from 0 on a number line. Know that 0 is an integer (whole number) that is neither negative nor positive.
2. Calculate percentages. Solve problems involving discounts at sales, interest earned, and tips. For example, what is a 20% tip if the check is $40?
3. Use the properties of equality to solve problems using letters for variables. For example, what number does x represent if 1/4 + x = 7/12?
4. Write and solve one-step linear equations and check the answers. (One-step linear equations are equations in the form x + a = b, ax = b, or ax + b = c. Values are given for a, b, and c. Students solve for x.)
5. Understand that adding or subtracting the same number on both sides of an equation creates a new equation that has the same truth values.
6. Find the distance between two points on horizontal or vertical number lines.
7.
Understand the concept of the constant
(pronounced pie). Know the formulas for the circumference and
area of a circle. Use the concepts to solve problems.
8. Describe and compare data sets using the concepts of median (middle value), mean (average), mode (most common value), maximum (highest value), minimum (smallest value), and range (largest value in the set minus the smallest value in the set).
9. Construct circle graphs using ratios, proportions, and percentages.
HOME ACTIVITIES
1. Invite your child to use math to present an argument. For example, use a chart that shows the rising costs of lunches or clothes to make the case for a bigger allowance.
2. When shopping, ask your child to look for savings in percentages, such as 20% or 30% off. What is the amount saved? What is the new price?
3. Encourage your child to take up a hobby that involves math. Hobbies such as building models or sewing let students use math to solve real problems.
Ask your child to research how early civilizations used mathematics in their daily lives.
Sixth Grade Math Worksheets
Sharpen
Your Skills worksheet 10
-
Fraction review for 5th and 6th grade Evaluating Expressions
#1
Dividing
Decimals -
worksheet 1
Alien
Algebra -
worksheet 2
Sharpen
Your Skills -
worksheet 6
Sharpen
Your Skills #7 -
multiplying decimals by 10, 100, and 1,000.
Finding
Percentages -
finding percentages worksheet a,20 problems
Multiply
by a Fraction -
multiplying fractions worksheet a, 24 problems.
Addition
Equations #4 -
learning to solve addition equations
Addition
Equations#3 -
learning to solve addition equations
Addition
Equations #2 -
adding equations
Addition
Equations #1 -
Addition equations.
Multiply
3 and 4 Digits by 3 Digits
-
worksheet C, multiplication practice
Multiply
3 and 4 Digits by 3 Digits
-
worksheet B, multiplication practice
Multiply
3 and 4 Digits by 3 Digits
-
multiplication practice
Reduce
Improper Fractions -
reduce fractions to lowest terms
Sharpen
Your Skills #2 -
multiplication, addition, decimals, and fractions
Bicycle
Math -
multiplication, division, speed, distance, calculator
Bicycle
Math #2 -
multiplication, division, speed, distance, calculator,
metric.
Estimating
Products of Mixed Numbers
Percent Worksheets
Percentage
Practice -
worksheet 4
Percentage
Practice -
worksheet 3
Percentage
Practice -
worksheet 2
Percentage
Practice -
worksheet 1
Finding
Percentages -
6th grade math worksheet
Finding
Percentages -
5th grade math worksheet