Mathematics And Statistics For The Nz Curriculum Year 10 Second Edition

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Mathematics & Statistics for the New Zealand Curriculum Year 10 2nd Edition provides a strong focus on maths understanding, problem solving and numerical literacy for every student. The fresh, full-colour layout and clear, concise and student-friendly language are combined with graded exercises that allow students to build higher-order thinking with teacher support.

- A focus on mathematical thinking helps students of all abilities to develop problem-solving, interpretation and numerical literacy skills with a focus on contextual word problems.

- Carefully structured chapters offer a logical development of ideas as well as clear explanations of mathematical concepts and worked examples to explain each stage of a solution.

- Additional questions offer more practice of basic understanding at the beginning of each exercise, and provide a wider range of assessment in the chapter reviews.

- A new section on the statistical enquiry cycle has been added as a basis for statistical investigations.

- The optional integrated program with Cambridge HOTmaths offers an exceptionally comprehensive and engaging interactive online maths teaching, learning and assessment resource.

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Table of contents

1 NUMBER
1.1 Revisiting fractions and decimals
1.2 Approximation and estimation
1.3 Decimals and significant figures
1.4 Adding and subtracting fractions
1.5 Multiplying and dividing fractions
1.6 Converting fractions and decimals
1.7 Adding and subtracting decimals
1.8 Multiplying and dividing decimals
1.9 Indices
1.10 Scientific notation or standard form
1.11 Integers

2 MEASUREMENT
2.1 Length
2.2 Perimeter
2.3 Area
2.4 Area of parallelograms and trapeziums
2.5 Area of a circle
2.6 Area of a composite shape
2.7 Surface area
2.8 Volume of a prism
2.9 Capacity

3 PYTHAGORAS’ THEOREM
3.1 Right-angled triangles
3.2 Finding the length of the shorter sides
3.3 Simple applications
3.4 Further applications

4 EXPRESSIONS AND EQUIVALENCE
4.1 Writing algebraic expressions
4.2 Simplifying algebraic expressions
4.3 Expanding: products to sums
4.4 Factorising: sums to products
4.5 Working with exponents
4.6 Evaluating expressions
4.7 Using rules

5 STATISTICS
5.1 Calculating median, lower quartile, upper quartile and interquartile range
5.2 Drawing stem-and-leaf graphs
5.3 Drawing box-and-whisker graphs
5.4 Using box-and-whisker graphs to compare data
5.5 Being a data detective
5.6 Time series graphs
5.7 Scatter graphs

6 LINEAR EQUATIONS
6.1 Solving equations using algebra
6.2 Writing equations
6.3 Patterns and Rules
6.4 Gradient
6.5 Gradient–intercept method and y mx c
6.6 Special lines with one intercept
6.7 Linear models

7 GEOMETRY
7.1 Parallel lines
7.2 Angle sums, polygons and exterior angles
7.3 Construction
7.4 Solids and nets
7.5 Translation
7.6 Reflection
7.7 Rotation
7.8 Enlargement

8 QUADRATIC RELATIONSHIPS
8.1 Quadratic patterns
8.2 Equivalent quadratic expressions
8.3 Special cases
8.4 Using technology to look at quadratic equivalence

9 TRIGONOMETRY
9.1 Introducing trigonometry
9.2 Finding the side length of a right-angled triangle
9.3 Further problems involving side lengths
9.4 Finding the angle
9.5 Mixed application problems

10 PROBABILITY
10.1 Chance
10.2 Equally likely outcomes
10.3 Probabilities from tables
10.4 Probability trees
10.5 Simulation
10.6 Simulation with technology

11 WORKING WITH RATIOS AND PERCENTAGES
11.1 Ratios and rates
11.2 Applying ratios
11.3 Ratios and scale drawings.
11.4 Percentages
11.5 Percentage discount and mark