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NZ 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
2.2Determining Common Factors
2.3Determining Common Multiples

3Adding and Subtracting Integers

3.1Introduction to integer addition
3.2Adding integers
3.3Introduction to integer subtraction
3.4Subtracting integers
3.5Application of integer operations

4Multiplying and Dividing Integers

4.1Understanding integer multiplication
4.2Multiplying integers
4.3Understanding integer division
4.4Dividing integers
4.5Applications of integer operations

5Operations with decimals

5.1Adding and subtracting decimals
5.2Multiplying decimals
5.3Dividing decimals
5.4Order of operations (BEDMAS)

6Fractions, Decimals, and Percents

6.1Representing percents
6.2Percent of a number
6.3Converting among decimals, fractions, and percents
6.4Applications of percents
6.5Taxes, discounts, tips and more
6.6Simple interest

7Number System and Radicals

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

8Powers and Exponents

8.1Using exponents to describe numbers (free lessons)
8.2Exponent rules
8.3Order of operations with exponents
8.4Using exponents to solve problems

9Adding and Subtracting Fractions

9.1Using models to add and subtract fractions
9.2Adding fractions with like denominators
9.3Subtracting fractions with like denominators
9.4Adding and subtracting fractions with unlike denominators
9.5Adding and subtracting mixed numbers

10Multiplying and Dividing Fractions

10.1Multiplying fractions and whole numbers (free lessons)
10.2Dividing fractions with whole numbers
10.3Multiplying proper fractions
10.4Multiplying improper fractions and mixed numbers
10.5Dividing fractions and mixed numbers
10.6Applications of fraction operations

11Introduction to Variables and Expressions

11.1Evaluating algebraic expressions

12Introduction to Equations

12.1Solving one - step equations: x+a=bx + a = b
12.2Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
12.3Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c

13Data and Graphs

13.1Reading and drawing bar graphs
13.2Reading and drawing histograms
13.3Reading and drawing line graphs
13.4Box-and-whisker plots and scatter plots
13.5Stem-and-leaf plots
13.6Pie charts
13.7Reading and drawing Venn diagrams
13.8Frequency tables and dot plots

14Introduction to Probability

14.1Introduction to probability
14.2Organizing outcomes
14.3Probability of independent events
14.4Comparing experimental and theoretical probability

15Measuring Systems

15.1Metric systems (free lessons)
15.2Imperial systems
15.3Conversions between metric and imperial systems
15.4Conversions involve squares and cubic

16Angles, Lines, and Transversals

16.1Pairs of lines and angles
16.2Parallel lines and transversals
16.3Parallel line proofs
16.4Perpendicular line proofs (free lessons)

17Geometry of Polygons

17.1Classifying Triangles

18Symmetry and Surface Area

18.1Line symmetry (free lessons)
18.2Rotational symmetry and transformations
18.3Surface area of 3-dimensional shapes (free lessons)

19Scale Factors and Similarity

19.1Enlargements and reductions with scale factors (free lessons)
19.2Scale diagrams
19.3Similar triangles
19.4Similar polygons

20Surface area of 3D Shapes

20.1Introduction to surface area of 3-dimensional shapes (free lessons)
20.2Nets of 3-dimensional shapes
20.3Surface area of prisms
20.4Surface area of cylinders
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