Stage 4 content (Yr.7 & 8)
Stage 4 Overview
Mathematics  Year 7
Term 1
Mathematics is used in many different areas in everyday life. The first term builds a student's confidence with numbers, order of operations and properties of common shapes.
Students learn about:
Computation with integers

Addition, subtraction, multiplication, division.

Order of operation; apply associative, commutative & distributive laws.

Compare, order, add, subtract, multiply and divide integers.
Fractions, decimals and percentages (Part 1)

Compare fractions, mixed numerals, place fractions on an integer number line.

Add, subtract, multiply and divide fractions with same and different denominators.

Express one quantity as a fraction of another.

Operate with decimals & percentages.
Angle Relationships, Properties of Geometric Figures

Review types of angles, classify triangles, describe quadrilaterals according to sides and angles.

Properties of quadrilaterals.

Identify line and rotational symmetry.

Angle sum of a triangle and quadrilateral.

Solve simple numerical problems using properties of 2D shapes.
Term 2
Time, Index form and Algebra will be covered in this term. Students will become familiar with both 12 and 24 hour time and will be introduced to the basics of mathematical terminology and techniques for solving equations.
Students learn about:
Time

Solving problems involving 12 and 24 hour time within a single time zone and international time zones.
Indices with numerical bases

Operating with positive integers and the zero index of numerical bases.

Investigate index numbers and represent whole numbers as products of primes.

Find square roots, cube roots.

Apply divisibility tests.
Introductory Algebra, Algebraic Techniques (Part 1)

Generalises number properties to operate with algebraic expressions.

Use letters to represent numbers

Recognise and use simple algebraic expressions

Simplify algebraic expression using the four operations.
Term 3
Students will be calculating the dimensions of common shapes. They will also learn about mathematics involved in everyday finances.
Students learn about:
Length, Perimeter, Circumference

Calculating the perimeter of plane shapes and circumference of circles.
Area of Quadrilaterals, circles, unit conversion

Converting between metric units of area.

Establish and use formulas to find the areas of triangles, special quadrilaterals and circles. Solve area problems.
Calculating Percentages & Financial Mathematics

Performing calculations involving GST, discounts and best buys.
Term 4
The mathematics behind predicting events is investigated in this term. We will introduce the Cartesian plane. Students will also discover why we need to collect data and how to represent our findings mathematically.
Students learn about:
Simple Probability

Constructing simple sample spaces for single step experiments with equally likely outcomes.

Finding probabilities of events in single step experiments.
Linear Relationships (Part 1)

Locate and describe points on the Cartesian plane using coordinates.

Describe translations and reflections in an axis on the Cartesian plane.
Data Collection and representation

Collecting, representing and interpreting single sets of data, using appropriate statistical displays.
Mathematics  Year 8  Stage 4
Term 1
After reviewing year 7 work students will further explore fractions, decimals, percentages and properties of common shapes. The concept of writing number in index form is introduced.
Students learn about:

Review¿¿ the ¿four¿ operations¿ with¿ integers.¿
 Review fractions,¿ decimals¿ and¿ percentages.
Fractions, decimals and percentages  Part 2
 Rounding ¿decimals¿.¿
 Terminating¿ &¿ recurring¿ decimals¿,¿ irrational¿ numbers,¿
 Percentages¿ of¿ quantities¿,¿ percentage¿ increase,¿ decrease,¿ percentage¿ problems¿ involving¿ money.
Indices
 Positive¿ integers¿ and¿ zero¿ indices¿
 Numerical¿ bases.
Angle Relationships, Properties of Geometric Figures
 Apply¿ the¿ properties¿ of¿ corresponding¿,¿ alternate¿ and¿ cointerior¿ angles¿ on¿ parallel¿ lines¿ to¿ find¿ unknown¿ angles¿ with¿ reasoning.¿ Determine¿ and¿ justify¿ that¿ particular¿ lines¿ are¿ parallel.¿
 Solve numerical¿exercises.¿
Term 2
This term focuses on determining the area of regular shapes such as rectangles and circles. Students will also further their skills in gaining information from a set of data, function on a graph and algebra.
Students learn about:
 Area¿ of¿ quadrilaterals¿ and¿ circles.
 Analyses¿ single¿ sets¿ of¿ data¿ using¿ measures¿ of¿ location¿ and¿ range.
 Graphing¿ linear¿ relationships¿ and¿ equations.
 Substitution, expansion and¿ factorisation¿ of¿ simple¿ algebraic¿ expressions.
Term 3
Students will continue to build on their understanding of algebra and link this to how to solve an equation. Pythagoras will be introduced, as will volume and congruency.
Students learn about:
 Solve ¿simple¿ linear¿ equations¿ using¿ algebraic¿ techniques.¿
 Solve¿ simple¿ quadratic¿ equations¿ of¿ the¿ form¿ x^{2}¿ =¿ c.
 Applying¿ Pythagoras¿'¿ theorem¿ to¿ find¿ sides¿ of¿ right¿ angled¿ triangles¿ and¿ solve¿ associated problems.
 Convert¿ing between¿ metric¿ units¿ of¿ volume¿ & capacity.¿
 Solve¿ volume¿ and¿ capacity¿ problems.
 Identify¿ congruent¿ figures¿.
 identify¿ congruent¿ triangles¿ using¿ the¿ four¿ tests.
Term 4
The idea of profit and loss is investigated in the final term and linked to other areas of finance. Rates and ratios are explained and students will do some more indepth work on probability.
Students learn about:
Percentages and Financial Mathematics
 Solve¿ problems¿ involving¿ profit¿ and¿ loss.
 Apply¿ ratios¿ and¿ rates¿ to¿ solve¿ problems.¿
 Interpret¿ and¿ draw¿ distance/¿time¿ graphs.
 Probability¿ of¿ compound¿ events.¿
Venn¿ diagrams