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NZ Year 10 Maths

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NZ Year 10 Maths Topics

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1.Number System and Radicals

1.1Understanding the number systems (free lessons)

1.2Prime factorisation

1.3Greatest Common Factors (GCF)

1.4Least Common Multiple (LCM) (free lessons)

1.5Rational vs. Irrational numbers

1.6Converting repeating decimals to fractions

2.Rational Numbers

2.1Comparing and ordering rational numbers (free lessons)

2.2Solving problems with rational numbers in decimal form

2.3Solving problems with rational numbers in fraction form

2.4Determine square roots of rational numbers

3.Ratios, Rates, and Proportions

3.1Ratios (free lessons)

4.Percents

4.1Representing percents (free lessons)

4.2Percents, fractions, and decimals

4.3Percent of a number

4.4Adding and multiplying percents

4.5Finance: Compound interest

5.Pythagorean Theorem

5.1Squares and square roots (free lessons)

5.2Pythagorean theorem

5.3Estimating square roots (free lessons)

5.4Using the pythagorean relationship

5.5Applications of pythagorean theorem

6.Volume

6.1Introduction to volume

6.2Volume of prisms

6.3Volume of cylinders

6.4Word problems relating volume of prisms and cylinders

7.Scale Factors and Similarity

7.1Enlargements and reductions with scale factors (free lessons)

7.2Scale diagrams

7.3Similar triangles

7.4Similar polygons

8.Solving Linear Equations

8.1Solving linear equations using multiplication and division (free lessons)

8.2Solving two-step linear equations:

ax + b = c

{x \over a} + b = c

8.3Solving linear equations using distributive property:

a(x + b) = c

8.4Solving linear equations with variables on both sides

8.5Solving literal equations

9.Data and Graphs

9.1Reading and drawing histograms

9.2Reading and drawing line graphs

9.3Box-and-whisker plots and scatter plots

10.Direct Variation

10.1Writing and solving for proportions

10.2Understanding graphs of proportional relationships (free lessons)

10.3Understanding tables of values of proportional relationships

10.4Applications of linear relationships (free lessons)

11.Introduction to Relations and Functions

11.1Relationship between two variables (free lessons)

11.2Understand relations between x- and y-intercepts

11.3Domain and range of a function

11.4Identifying functions

11.5Function notation (free lessons)

12.Linear Functions

12.1Distance formula:

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

(free lessons)

12.2Midpoint formula:

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

12.3Gradient equation:

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

12.4Gradient intercept form: y = mx + b

12.5General form: Ax + By + C = 0 (free lessons)

12.6Gradient-point form:

y - y_1 = m (x - x_1)

12.7Rate of change

12.8Graphing linear functions using table of values

12.9Graphing linear functions using x- and y-intercepts (free lessons)

12.10Graphing from gradient-intercept form y=mx+b

12.11Graphing linear functions using a single point and gradient

12.12Word problems of graphing linear functions

12.13Parallel and perpendicular lines in linear functions (free lessons)

12.14Applications of linear relations

13.Linear Inequalities

13.1Express linear inequalities graphically and algebraically (free lessons)

13.2Solving one-step linear inequalities

13.3Solving multi-step linear inequalities

14.Solving Simultaneous Equations

14.1Determining number of solutions to linear equations (free lessons)

14.2Solving simultaneous equations by graphing

14.3Solving simultaneous equations by elimination

14.4Solving simultaneous equations by substitution

14.5Money related questions in linear equations (free lessons)

14.6Unknown number related questions in linear equations

14.7Distance and time related questions in linear equations

14.8Rectangular shape related questions in linear equations

15.Exponents

15.1Product rule of exponents (free lessons)

15.2Quotient rule of exponents

15.3Power of a product rule

15.4Power of a quotient rule

15.5Power of a power rule (free lessons)

15.6Negative exponent rule

15.7Combining the exponent rules

15.8Scientific notation

15.9Convert between radicals and rational exponents (free lessons)

15.10Solving for exponents

16.Introduction to Polynomials

16.1Characteristics of polynomials (free lessons)

16.2Equivalent expressions of polynomials

16.3Adding and subtracting polynomials

17.Operations of Polynomials

17.1What is a polynomial? (free lessons)

17.2Polynomial components

17.3Multiplying monomial by monomial

17.4Multiplying monomial by binomial

17.5Multiplying binomial by binomial (free lessons)

17.6Multiplying polynomial by polynomial

17.7Applications of polynomials

18.Factorising Polynomial Expressions

18.1Common factors of polynomials (free lessons)

18.2Factorising polynomials by grouping

18.3Solving polynomials with the unknown "b" from

x^2 + bx + c

18.4Solving polynomials with the unknown "c" from

x^2 + bx + c

18.5Factorising polynomials:

x^2 + bx + c

(free lessons)

18.6Applications of polynomials:

x^2 + bx + c

18.7Solving polynomials with the unknown "b" from

ax^2 + bx + c

18.8Factorising polynomials:

ax^2 + bx + c

18.9Factorising perfect square trinomials:

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

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

(free lessons)

18.10Find the difference of squares:

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

18.11Evaluating polynomials

18.12Using algebra tiles to solve polynomials

18.13Solving polynomial equations (free lessons)

18.14Word problems of polynomials

19.Radicals

19.1Square and square roots (free lessons)

19.2Cubic and cube roots

19.3Evaluating and simplifying radicals

19.4Converting radicals to mixed radicals

19.5Converting radicals to entire radicals (free lessons)

19.6Adding and subtracting radicals

19.7Multiplying and dividing radicals

19.8Rationalize the denominator

20.Rational Expressions

20.1Simplifying rational expressions and restrictions

20.2Adding and subtracting rational expressions (free lessons)

20.3Multiplying rational expressions

20.4Dividing rational expressions

20.5Solving rational equations

20.6Applications of rational equations

21.Statistics

21.1Median and mode

21.3Range and outliers

21.4Application of averages

22.Probability

22.1Determining probabilities using tree diagrams and tables (free lessons)

22.2Probability of independent events

1.Number System and Radicals

1.1Understanding the number systems (free lessons)

1.2Prime factorisation

1.3Greatest Common Factors (GCF)

1.4Least Common Multiple (LCM) (free lessons)

1.5Rational vs. Irrational numbers

1.6Converting repeating decimals to fractions

2.Rational Numbers

2.1Comparing and ordering rational numbers (free lessons)

2.2Solving problems with rational numbers in decimal form

2.3Solving problems with rational numbers in fraction form

2.4Determine square roots of rational numbers

3.Ratios, Rates, and Proportions

3.1Ratios (free lessons)

4.Percents

4.1Representing percents (free lessons)

4.2Percents, fractions, and decimals

4.3Percent of a number

4.4Adding and multiplying percents

4.5Finance: Compound interest

5.Pythagorean Theorem

5.1Squares and square roots (free lessons)

5.2Pythagorean theorem

5.3Estimating square roots (free lessons)

5.4Using the pythagorean relationship

5.5Applications of pythagorean theorem

6.Volume

6.1Introduction to volume

6.2Volume of prisms

6.3Volume of cylinders

6.4Word problems relating volume of prisms and cylinders

7.Scale Factors and Similarity

7.1Enlargements and reductions with scale factors (free lessons)

7.2Scale diagrams

7.3Similar triangles

7.4Similar polygons

8.Solving Linear Equations

8.1Solving linear equations using multiplication and division (free lessons)

8.2Solving two-step linear equations:

ax + b = c

{x \over a} + b = c

8.3Solving linear equations using distributive property:

a(x + b) = c

8.4Solving linear equations with variables on both sides

8.5Solving literal equations

9.Data and Graphs

9.1Reading and drawing histograms

9.2Reading and drawing line graphs

9.3Box-and-whisker plots and scatter plots

10.Direct Variation

10.1Writing and solving for proportions

10.2Understanding graphs of proportional relationships (free lessons)

10.3Understanding tables of values of proportional relationships

10.4Applications of linear relationships (free lessons)

11.Introduction to Relations and Functions

11.1Relationship between two variables (free lessons)

11.2Understand relations between x- and y-intercepts

11.3Domain and range of a function

11.4Identifying functions

11.5Function notation (free lessons)

12.Linear Functions

12.1Distance formula:

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

(free lessons)

12.2Midpoint formula:

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

12.3Gradient equation:

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

12.4Gradient intercept form: y = mx + b

12.5General form: Ax + By + C = 0 (free lessons)

12.6Gradient-point form:

y - y_1 = m (x - x_1)

12.7Rate of change

12.8Graphing linear functions using table of values

12.9Graphing linear functions using x- and y-intercepts (free lessons)

12.10Graphing from gradient-intercept form y=mx+b

12.11Graphing linear functions using a single point and gradient

12.12Word problems of graphing linear functions

12.13Parallel and perpendicular lines in linear functions (free lessons)

12.14Applications of linear relations

13.Linear Inequalities

13.1Express linear inequalities graphically and algebraically (free lessons)

13.2Solving one-step linear inequalities

13.3Solving multi-step linear inequalities

14.Solving Simultaneous Equations

14.1Determining number of solutions to linear equations (free lessons)

14.2Solving simultaneous equations by graphing

14.3Solving simultaneous equations by elimination

14.4Solving simultaneous equations by substitution

14.5Money related questions in linear equations (free lessons)

14.6Unknown number related questions in linear equations

14.7Distance and time related questions in linear equations

14.8Rectangular shape related questions in linear equations

15.Exponents

15.1Product rule of exponents (free lessons)

15.2Quotient rule of exponents

15.3Power of a product rule

15.4Power of a quotient rule

15.5Power of a power rule (free lessons)

15.6Negative exponent rule

15.7Combining the exponent rules

15.8Scientific notation

15.9Convert between radicals and rational exponents (free lessons)

15.10Solving for exponents

16.Introduction to Polynomials

16.1Characteristics of polynomials (free lessons)

16.2Equivalent expressions of polynomials

16.3Adding and subtracting polynomials

17.Operations of Polynomials

17.1What is a polynomial? (free lessons)

17.2Polynomial components

17.3Multiplying monomial by monomial

17.4Multiplying monomial by binomial

17.5Multiplying binomial by binomial (free lessons)

17.6Multiplying polynomial by polynomial

17.7Applications of polynomials

18.Factorising Polynomial Expressions

18.1Common factors of polynomials (free lessons)

18.2Factorising polynomials by grouping

18.3Solving polynomials with the unknown "b" from

x^2 + bx + c

18.4Solving polynomials with the unknown "c" from

x^2 + bx + c

18.5Factorising polynomials:

x^2 + bx + c

(free lessons)

18.6Applications of polynomials:

x^2 + bx + c

18.7Solving polynomials with the unknown "b" from

ax^2 + bx + c

18.8Factorising polynomials:

ax^2 + bx + c

18.9Factorising perfect square trinomials:

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

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

(free lessons)

18.10Find the difference of squares:

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

18.11Evaluating polynomials

18.12Using algebra tiles to solve polynomials

18.13Solving polynomial equations (free lessons)

18.14Word problems of polynomials

19.Radicals

19.1Square and square roots (free lessons)

19.2Cubic and cube roots

19.3Evaluating and simplifying radicals

19.4Converting radicals to mixed radicals

19.5Converting radicals to entire radicals (free lessons)

19.6Adding and subtracting radicals

19.7Multiplying and dividing radicals

19.8Rationalize the denominator

20.Rational Expressions

20.1Simplifying rational expressions and restrictions

20.2Adding and subtracting rational expressions (free lessons)

20.3Multiplying rational expressions

20.4Dividing rational expressions

20.5Solving rational equations

20.6Applications of rational equations

21.Statistics

21.1Median and mode

21.3Range and outliers

21.4Application of averages

22.Probability

22.1Determining probabilities using tree diagrams and tables (free lessons)

22.2Probability of independent events

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