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NZ Year 9 Maths

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NZ Year 9 Maths Topics

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1.Number Theory

1.1Divisibility Rules

1.2Prime factors

1.3Determining Common Factors

1.4Determining Common Multiples

1.5Introduction to exponents

2.Adding and Subtracting Integers

2.1Introduction to integer addition

2.2Adding integers

2.3Introduction to integer subtraction

2.4Subtracting integers

2.5Application of integer operations

3.Multiplying and Dividing Integers

3.1Understanding integer multiplication

3.2Multiplying integers

3.3Understanding integer division

3.4Dividing integers

3.5Applications of integer operations

4.Rational Numbers

4.1Comparing and ordering rational numbers (free lessons)

4.2Solving problems with rational numbers in decimal form

4.3Solving problems with rational numbers in fraction form

4.4Determine square roots of rational numbers

5.Powers and Exponents

5.1Using exponents to describe numbers (free lessons)

5.2Exponent rules

5.3Order of operations with exponents

5.4Using exponents to solve problems

6.Ratios, Rates, and Proportions

6.1Ratios (free lessons)

7.Proportional Relationships

7.1Writing and solving for proportions

7.2Understanding graphs of proportional relationships (free lessons)

7.3Understanding tables of values of proportional relationships

7.4Applications of linear relationships (free lessons)

8.Percents

8.1Representing percents (free lessons)

8.2Percents, fractions, and decimals

8.3Percent of a number

8.4Adding and multiplying percents

9.Radicals

9.1Square and square roots (free lessons)

9.2Cubic and cube roots

9.3Evaluating and simplifying radicals

9.4Converting radicals to mixed radicals

9.5Converting radicals to entire radicals (free lessons)

9.6Adding and subtracting radicals

9.7Multiplying and dividing radicals

9.8Rationalize the denominator

10.Measuring Systems

10.1Metric systems (free lessons)

10.2Imperial systems

10.3Conversions between metric and imperial systems

10.4Conversions involve squares and cubic

11.Coordinates, Quadrants, and Transformations

11.1Cartesian plane

11.2Draw on coordinate planes

11.3Introduction to transformations

11.4Horizontal and vertical distances

12.Angles, Lines, and Transversals

12.1Pairs of lines and angles

12.2Parallel lines and transversals

12.3Parallel line proofs

12.4Perpendicular line proofs (free lessons)

13.Symmetry and Surface Area

13.1Line symmetry (free lessons)

13.2Rotational symmetry and transformations

13.3Surface area of 3-dimensional shapes (free lessons)

14.Properties of triangles

14.1Classifying triangles

14.2Isosceles and equilateral triangles

15.Circles

15.1Circles and circumference

15.2Angles in a circle (free lessons)

15.3Arcs of a circle

15.4Areas and sectors of circles

16.Scale Factors and Similarity

16.1Enlargements and reductions with scale factors (free lessons)

16.2Scale diagrams

16.3Similar triangles

16.4Similar polygons

17.Pythagorean Theorem

17.1Squares and square roots (free lessons)

17.2Pythagorean theorem (free lessons)

17.3Estimating square roots (free lessons)

17.4Using the pythagorean relationship

17.5Applications of pythagorean theorem

18.Introduction to 3-Dimensional Figures

18.1Introduction to surface area of 3-dimensional shapes (free lessons)

18.2Nets of 3-dimensional shapes

18.3Surface area of prisms

18.4Surface area of cylinders

19.Volume

19.1Introduction to volume

19.2Volume of prisms

19.3Volume of cylinders

19.4Word problems relating volume of prisms and cylinders

20.Linear Equations (Basic)

20.1Model and solve one-step linear equations:

ax = b

\frac{x}{a} = b

(free lessons)

20.2Solving two-step linear equations using addition and subtraction:

ax + b = c

20.3Solving two-step linear equations using multiplication and division:

\frac{x}{a} + b = c

20.4Solving two-step linear equations using distributive property:

\;a\left( {x + b} \right) = c

21.Solving Linear Equations

21.1Solving linear equations using multiplication and division (free lessons)

21.2Solving two-step linear equations:

ax + b = c

{x \over a} + b = c

21.3Solving linear equations using distributive property:

a(x + b) = c

(free lessons)

21.4Solving linear equations with variables on both sides

21.5Solving literal equations

22.Linear Inequalities

22.1Express linear inequalities graphically and algebraically (free lessons)

22.2Solving one-step linear inequalities

22.3Solving multi-step linear inequalities

23.Introduction to Relations and Functions

23.1Relationship between two variables (free lessons)

23.2Understand relations between x- and y-intercepts

23.3Domain and range of a function (free lessons)

23.4Identifying functions

23.5Function notation (free lessons)

24.Linear Functions

24.1Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(free lessons)

24.2Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

(free lessons)

24.3Gradient equation:

m = \frac{y_2-y_1}{x_2- x_1}

24.4Gradient intercept form: y = mx + b (free lessons)

24.5General form: Ax + By + C = 0 (free lessons)

24.6Gradient-point form:

y - y_1 = m (x - x_1)

(free lessons)

24.7Rate of change

24.8Graphing linear functions using table of values

24.9Graphing linear functions using x- and y-intercepts (free lessons)

24.10Graphing from gradient-intercept form y=mx+b

24.11Graphing linear functions using a single point and gradient

24.12Word problems of graphing linear functions

24.13Parallel and perpendicular lines in linear functions (free lessons)

24.14Applications of linear relations

25.Multiplication and Division of Polynomials

25.1Common factors of polynomials (free lessons)

25.2Factorising polynomials by grouping

25.3Solving polynomials with the unknown "b" from

x^2 + bx + c

25.4Solving polynomials with the unknown "c" from

x^2 + bx + c

25.5Factorising polynomials:

x^2 + bx + c

(free lessons)

25.6Applications of polynomials:

x^2 + bx + c

25.7Solving polynomials with the unknown "b" from

ax^2 + bx + c

25.8Factorising polynomials:

ax^2 + bx + c

25.9Factorising perfect square trinomials:

(a + b)^2 = a^2 + 2ab + b^2

(a - b)^2 = a^2 - 2ab + b^2

(free lessons)

25.10Find the difference of squares:

(a - b)(a + b) = (a^2 - b^2)

25.11Evaluating polynomials

25.12Using algebra tiles to solve polynomials

25.13Solving polynomial equations (free lessons)

25.14Word problems of polynomials

26.Data and Graphs

26.1Reading and drawing histograms

26.2Reading and drawing line graphs

26.3Box-and-whisker plots and scatter plots

26.4Stem-and-leaf plots

26.5Reading and drawing Venn diagrams

27.Statistics

27.1Median and mode

27.3Range and outliers

27.4Application of averages

28.Probability

28.1Determining probabilities using tree diagrams and tables (free lessons)

28.2Probability of independent events

28.3Probability with Venn diagrams

1.Number Theory

1.1Divisibility Rules

1.2Prime factors

1.3Determining Common Factors

1.4Determining Common Multiples

1.5Introduction to exponents

2.Adding and Subtracting Integers

2.1Introduction to integer addition

2.2Adding integers

2.3Introduction to integer subtraction

2.4Subtracting integers

2.5Application of integer operations

3.Multiplying and Dividing Integers

3.1Understanding integer multiplication

3.2Multiplying integers

3.3Understanding integer division

3.4Dividing integers

3.5Applications of integer operations

4.Rational Numbers

4.1Comparing and ordering rational numbers (free lessons)

4.2Solving problems with rational numbers in decimal form

4.3Solving problems with rational numbers in fraction form

4.4Determine square roots of rational numbers

5.Powers and Exponents

5.1Using exponents to describe numbers (free lessons)

5.2Exponent rules

5.3Order of operations with exponents

5.4Using exponents to solve problems

6.Ratios, Rates, and Proportions

6.1Ratios (free lessons)

7.Proportional Relationships

7.1Writing and solving for proportions

7.2Understanding graphs of proportional relationships (free lessons)

7.3Understanding tables of values of proportional relationships

7.4Applications of linear relationships (free lessons)

8.Percents

8.1Representing percents (free lessons)

8.2Percents, fractions, and decimals

8.3Percent of a number

8.4Adding and multiplying percents

9.Radicals

9.1Square and square roots (free lessons)

9.2Cubic and cube roots

9.3Evaluating and simplifying radicals

9.4Converting radicals to mixed radicals

9.5Converting radicals to entire radicals (free lessons)

9.6Adding and subtracting radicals

9.7Multiplying and dividing radicals

9.8Rationalize the denominator

10.Measuring Systems

10.1Metric systems (free lessons)

10.2Imperial systems

10.3Conversions between metric and imperial systems

10.4Conversions involve squares and cubic

11.Coordinates, Quadrants, and Transformations

11.1Cartesian plane

11.2Draw on coordinate planes

11.3Introduction to transformations

11.4Horizontal and vertical distances

12.Angles, Lines, and Transversals

12.1Pairs of lines and angles

12.2Parallel lines and transversals

12.3Parallel line proofs

12.4Perpendicular line proofs (free lessons)

13.Symmetry and Surface Area

13.1Line symmetry (free lessons)

13.2Rotational symmetry and transformations

13.3Surface area of 3-dimensional shapes (free lessons)

14.Properties of triangles

14.1Classifying triangles

14.2Isosceles and equilateral triangles

15.Circles

15.1Circles and circumference

15.2Angles in a circle (free lessons)

15.3Arcs of a circle

15.4Areas and sectors of circles

16.Scale Factors and Similarity

16.1Enlargements and reductions with scale factors (free lessons)

16.2Scale diagrams

16.3Similar triangles

16.4Similar polygons

17.Pythagorean Theorem

17.1Squares and square roots (free lessons)

17.2Pythagorean theorem (free lessons)

17.3Estimating square roots (free lessons)

17.4Using the pythagorean relationship

17.5Applications of pythagorean theorem

18.Introduction to 3-Dimensional Figures

18.1Introduction to surface area of 3-dimensional shapes (free lessons)

18.2Nets of 3-dimensional shapes

18.3Surface area of prisms

18.4Surface area of cylinders

19.Volume

19.1Introduction to volume

19.2Volume of prisms

19.3Volume of cylinders

19.4Word problems relating volume of prisms and cylinders

20.Linear Equations (Basic)

20.1Model and solve one-step linear equations:

ax = b

\frac{x}{a} = b

(free lessons)

20.2Solving two-step linear equations using addition and subtraction:

ax + b = c

20.3Solving two-step linear equations using multiplication and division:

\frac{x}{a} + b = c

20.4Solving two-step linear equations using distributive property:

\;a\left( {x + b} \right) = c

21.Solving Linear Equations

21.1Solving linear equations using multiplication and division (free lessons)

21.2Solving two-step linear equations:

ax + b = c

{x \over a} + b = c

21.3Solving linear equations using distributive property:

a(x + b) = c

(free lessons)

21.4Solving linear equations with variables on both sides

21.5Solving literal equations

22.Linear Inequalities

22.1Express linear inequalities graphically and algebraically (free lessons)

22.2Solving one-step linear inequalities

22.3Solving multi-step linear inequalities

23.Introduction to Relations and Functions

23.1Relationship between two variables (free lessons)

23.2Understand relations between x- and y-intercepts

23.3Domain and range of a function (free lessons)

23.4Identifying functions

23.5Function notation (free lessons)

24.Linear Functions

24.1Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(free lessons)

24.2Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

(free lessons)

24.3Gradient equation:

m = \frac{y_2-y_1}{x_2- x_1}

24.4Gradient intercept form: y = mx + b (free lessons)

24.5General form: Ax + By + C = 0 (free lessons)

24.6Gradient-point form:

y - y_1 = m (x - x_1)

(free lessons)

24.7Rate of change

24.8Graphing linear functions using table of values

24.9Graphing linear functions using x- and y-intercepts (free lessons)

24.10Graphing from gradient-intercept form y=mx+b

24.11Graphing linear functions using a single point and gradient

24.12Word problems of graphing linear functions

24.13Parallel and perpendicular lines in linear functions (free lessons)

24.14Applications of linear relations

25.Multiplication and Division of Polynomials

25.1Common factors of polynomials (free lessons)

25.2Factorising polynomials by grouping

25.3Solving polynomials with the unknown "b" from

x^2 + bx + c

25.4Solving polynomials with the unknown "c" from

x^2 + bx + c

25.5Factorising polynomials:

x^2 + bx + c

(free lessons)

25.6Applications of polynomials:

x^2 + bx + c

25.7Solving polynomials with the unknown "b" from

ax^2 + bx + c

25.8Factorising polynomials:

ax^2 + bx + c

25.9Factorising perfect square trinomials:

(a + b)^2 = a^2 + 2ab + b^2

(a - b)^2 = a^2 - 2ab + b^2

(free lessons)

25.10Find the difference of squares:

(a - b)(a + b) = (a^2 - b^2)

25.11Evaluating polynomials

25.12Using algebra tiles to solve polynomials

25.13Solving polynomial equations (free lessons)

25.14Word problems of polynomials

26.Data and Graphs

26.1Reading and drawing histograms

26.2Reading and drawing line graphs

26.3Box-and-whisker plots and scatter plots

26.4Stem-and-leaf plots

26.5Reading and drawing Venn diagrams

27.Statistics

27.1Median and mode

27.3Range and outliers

27.4Application of averages

28.Probability

28.1Determining probabilities using tree diagrams and tables (free lessons)

28.2Probability of independent events

28.3Probability with Venn diagrams

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