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NZ Year 7 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 numbers and composite numbers
2.3Determining Common Factors
2.4Determining Common Multiples
2.5Intorduction to exponents

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

4Operations with decimals

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

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

7Introduction to Ratios, Rates and Percentages

7.1Rates
7.2Representing percents
7.3Percent of a number
7.4Converting among decimals, fractions, and percents
7.5Applications of percents
7.6Taxes, discounts, tips and more
7.7Simple interest

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=bx + 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

12Angles, Lines, and Transversals

12.1Pairs of lines and angles
12.2Parallel lines and transversals
12.3Parallel line proofs
12.4Perpendicular line proofs (free lessons)

13Symmetry and Surface Area

13.1Line symmetry (free lessons)
13.2Rotational symmetry and transformations
13.3Surface area of 3-dimensional shapes (free lessons)

14Properties of Triangles

14.1Classifying triangles
14.2Isosceles and equilateral triangles

15Scale Factors and Similarity

15.1Enlargements and reductions with scale factors (free lessons)
15.2Scale diagrams
15.3Similar triangles
15.4Similar polygons

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

17Data and Graphs

17.1Reading and drawing bar graphs
17.2Reading and drawing histograms
17.3Reading and drawing line graphs
17.4Box-and-whisker plots and scatter plots
17.5Stem-and-leaf plots
17.6Pie charts
17.7Reading and drawing Venn diagrams
17.8Frequency tables and dot plots

18Statistics

18.1Median and mode
18.2Mean
18.3Range and outliers
18.4Application of averages

19Introduction to Probability

19.1Introduction to probability
19.2Organizing outcomes
19.3Probability of independent events
19.4Comparing experimental and theoretical probability
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