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Sixth Class Maths topics

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1Number Theory

1.1Divisibility Rules
1.2Determining Common Factors
1.3Determining Common Multiples
1.4Introduction to exponents

2Adding and Subtracting Integers

2.1Introduction to integer addition
2.2Adding integers
2.3Introduction to integer subtraction
2.4Subtracting integers
2.5Application of integer operations

3Multiplying and Dividing Integers

3.1Understanding integer multiplication
3.2Multiplying integers
3.3Understanding integer division
3.4Dividing integers
3.5Applications of integer operations

4Operations with Decimals

4.1Adding and subtracting decimals
4.2Multiplying decimals
4.3Dividing decimals
4.4Order of operations (BIDMAS)

5Adding and Subtracting Fractions

5.1Using models to add and subtract fractions
5.2Adding fractions with like denominators
5.3Subtracting fractions with like denominators
5.4Adding and subtracting fractions with unlike denominators
5.5Adding and subtracting mixed numbers

6Multiplying and Dividing Fractions

6.1Multiplying fractions and whole numbers (free lessons)
6.2Dividing fractions with whole numbers
6.3Multiplying proper fractions
6.4Multiplying improper fractions and mixed numbers
6.5Dividing fractions and mixed numbers
6.6Applications of fraction operations

7Number System and Radicals

7.1Understanding the number systems (free lessons)
7.2Prime factorization
7.3Greatest Common Factors (GCF)
7.4Least Common Multiple (LCM) (free lessons)
7.5Rational vs. Irrational numbers
7.6Converting repeating decimals to fractions

8Powers, Exponents and Square Roots

8.1Using exponents to describe numbers (free lessons)
8.2Exponent rules
8.3Order of operations with exponents
8.4Using exponents to solve problems
8.5Squares and square roots (free lessons)
8.6Estimating square roots (free lessons)

9Introduction to Ratios, Rates and Percentages

9.1Rates
9.2Representing percents
9.3Converting among fractions, decimals, and percents
9.4Applications of percents
9.5Taxes, discounts, tips and more
9.6Simple interest

10Measuring Systems

10.1Metric systems (free lessons)
10.2Imperial systems
10.3Conversions between metric and imperial systems
10.4Conversions involve squares and cubic

11Coordinates, Quadrants, and Transformations

11.1Cartesian plane
11.2Draw on coordinate planes
11.3Introduction to transformations
11.4Horizontal and vertical distances

12Introduction to Variables and Expressions

12.1Evaluating algebraic expressions

13Introduction to Equations

13.1Solving one-step equations: x+a=bx + a = b
13.2Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
13.3Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c

14Properties of Triangles

14.1Classifying triangles
14.2Isosceles and equilateral triangles

15Symmetry and Surface Area

15.1Line symmetry (free lessons)
15.2Rotational symmetry and transformations
15.3Surface area of 3-dimensional shapes (free lessons)

16Introduction to 3-Dimensional Figures

16.1Introduction to surface area of 3-dimensional shapes (free lessons)
16.2Nets of 3-dimensional shapes
16.3Surface area of prisms
16.4Surface area of cylinders

17Circles

17.1Circles and circumference
17.2Angles in a circle (free lessons)
17.3Arcs of a circle
17.4Areas and sectors of circles

18Data and Graphs

18.1Reading and drawing bar graphs
18.2Reading and drawing histograms
18.3Reading and drawing line graphs
18.4Box-and-whisker plots and scatter plots
18.5Stem-and-leaf plots
18.6Pie charts
18.7Reading and drawing Venn diagrams
18.8Frequency tables and dot plots

19Statistics

19.1Median and mode
19.2Mean
19.3Range and outliers
19.4Application of averages

20Introduction to Probability

20.1Introduction to probability
20.2Organizing outcomes
20.3Probability of independent events
20.4Comparing experimental and theoretical probability
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