TutorVista offers efficient learning programs for Grade 6 students. These online learning programs are suitably prepared by keeping in mind the student's learning competence and requirements. The online tutoring help is designed by experienced subject experts and hence, each of these sessions is beneficial for students. Math is an important subject which requires dynamic understanding in order to score well in exams. It needs constant practice and hence students are suggested to practice Math worksheets repeatedly. TutorVista offers several online Math worksheets for different academic standards. Therefore, students can collect and practice them as per their convenience. Apart from this, they can take online sessions for Math with expert online tutors. Math homework help is also available for Grade 6 students. They can choose this learning assistance and solve their homework by understanding each concept in a step-by step method.

Students can also take demo sessions and when required, can opt for further assistance. Get 6th grade Math help from expert online tutors and improve your subject knowledge in a requisite manner. Students can also choose personalized Math sessions for different grades.

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- Read print numbers 0.001 and 1,00,000 and locate, compare, order, represent, estimate and identify numbers using regular and expanded forms.
- Understanding of rational numbers with respect to ratios (comparison of two whole numbers).
- Demonstrates understanding of the relative magnitude of numbers by ordering or comparing numbers, integers or rational numbers using number lines or equality and inequality symbols.
- Understand decimals to the thousandths and be able to apply mathematical operations on decimals or fractions.
- Solves problems involving single or multiple operations on fractions (proper,improper, and mixed), decimals and addition or subtraction of integers, percent of a whole or greatest common factor or least common multiple.
- Properties of numbers (odd, even, positive, negative, remainders, divisibility, and prime factorization) and field properties (commutative, associative, identity, distributive, and additive inverses).

- Identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures on the basis of properties of angles(right, acute, obtuse) or sides (number of congruent or perpendicular) of triangles (right, acute, obtuse, equiangular, isosceles or equilateral) equiangular, or equilateral) or quadrilaterals (rectangles, squares, rhombus, trapezoids, or parallelograms) or 3-dimensional shapes (rectangular prisms, triangular prisms,cylinders, spheres, pyramids, or cones).
- Uses properties to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, spheres, pyramids, or cones).
- Understanding of similar and congruent figures applying characteristics of similar figures and using reflections, translations, or rotations and show congruence (including the degree of rotation).
- Full understanding of proportional effect on the linear dimensions of polygons or circles.
- Understanding of perimeter of polygons, the area of triangles or quadrilaterals and volume of rectangular prisms.
- Appropriately and consistently use of units of measures, and makes conversions within systems when solving problem.

- Identify, create, analyze and extend patterns and describe the rules with two variables and increasing complexity.
- Determine, discuss and defend the pattern rules in all problems of linear relationship (y = mx + c).
- Determine the values in linear algebraic expressions when there are missing terms in the four operations and provide the rules, solving multi-step linear equations.
- Demonstrate equivalence in equations with the 4 operations.

- Analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.
- Mean, median, mode.
- Organizes and displays data using tables, line graphs, or stem-and-leaf plots to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

Given, 572 ÷ 2 $\times$ 4.9

Step 1:

572 ÷ 2 = 286

Step 2:

286 $\times$ 4.9 = 1401.4

$\Rightarrow$ 572 ÷ 2 $\times$ 4.9 = 1401.4

12p - 18a = 6p, for p = 1

Given, 12p - 18a = 6p

Step 1:

Solve for a,

Subtract 12p from both sides

$\Rightarrow$ 12p - 18a -12p = 6p - 12p

$\Rightarrow$ -18a = - 6p

Divide each side by -18

$\Rightarrow$ a = $\frac{6}{18}$p = $\frac{1}{3}$p

Step 2:

Put p = 1

$\Rightarrow$ a = $\frac{1}{3}$ $\times$ 1

$\Rightarrow$ a = $\frac{1}{3}$

Prime Factors of 12 = 2 $\times$ 2 $\times$ 3

Prime Factors of 16 = 2 $\times$ 2 $\times$ 2 $\times$ 2

Prime Factors of 24 = 2 $\times$ 2 $\times$ 2 $\times$ 3

$\Rightarrow$ LCM(12, 16, 24) = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 = 48

Given

1 inch = 35 miles

$\Rightarrow$ 15 inches = 35 $\times$ 15

3 5

x 1 5

--------------

1 7 5

+ 3 5 x

--------------

5 2 5

--------------

Hence, 525 miles are represented by 15 inches on map.

Some practice problems designed for 6th grade Math are as follows:

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