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AU Year 6 Maths topics

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1Numbers and Relations

1.1Place value
1.2Comparing and ordering numbers
1.3Rounding numbers

2Number Theory

2.1Divisibility rules
2.2Prime factors
2.3Determining common factors
2.4Determining common multiples
2.5Introduction to exponents

3Introduction to Ratios, Rates, and Percentages

3.1Rates
3.2Representing percents
3.3Converting among fractions, decimals, and percents
3.4Percent of a number
3.5Applications of percents

4Operations with Decimals

4.1Adding and subtracting decimal numbers
4.2Multiplying decimal numbers
4.3Dividing decimal numbers
4.4Order of operations (BODMAS)

5Adding and Subtracting Fractions

5.1Using model 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

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

7Powers and Exponents

7.1Using exponents to describe numbers (free lessons)
7.2Exponent rules
7.3Order of operations with exponents
7.4Using exponents to solve problems

8Measuring Systems

8.1Metric systems (free lessons)
8.2Imperial systems
8.3Conversions between metric and imperial systems
8.4Conversions involve squares and cubic

9Coordinates, Quadrants, and Transformations

9.1Cartesian plane
9.2Draw on coordinate planes
9.3Introduction to transformations
9.4Horizontal and vertical distances

10Patterns and Solving Equations

10.1Patterns
10.2Evaluating algebraic expressions
10.3Solving one-step equations: x + a = b
10.4Graphing linear relations

11Linear Equations

11.1Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
11.2Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c
11.3Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
11.4Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c

12Symmetry and Surface Area

12.1Line symmetry (free lessons)
12.2Rotational symmetry and transformations
12.3Surface area of 3-dimensional shapes (free lessons)

13Properties of Triangles

13.1Classifying triangles
13.2Isosceles and equilateral triangles

14Surface Area of 3-dimentional Objects

14.1Introduction to surface area of 3-dimensional shapes (free lessons)
14.2Nets of 3-dimensional shapes
14.3Surface area of prisms
14.4Surface area of cylinders

15Data and Graphs

15.1Reading and drawing bar graphs
15.2Reading and drawing histograms
15.3Reading and drawing line graphs
15.4Box-and-whisker plots and scatter plots
15.5Stem-and-leaf plots
15.6Pie charts
15.7Reading and drawing Venn diagrams
15.8Frequency tables and dot plots

16Statistics

16.1Median and mode
16.2Mean
16.3Range and outliers
16.4Application of averages

17Introduction to Probability

17.1Introduction to probability
17.2Organizing outcomes
17.3Probability of independent events
17.4Comparing theoretical and experimental probabilities
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