John XXIII College

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Year 8 Mathematics

Essentials - Course Outline

Overview

Year 8 Mathematics Essentials students will cover the standard Australian Curriculum. They will use efficient mental and written strategies to carry out the four operations with integers. They will round decimals and solve problems involving percentages. Students will recognise the index laws and apply them to whole numbers and variables. They will simplify a variety of algebraic expressions and solve linear equations. They will graph linear relationships on the Cartesian plane. They will solve a range of everyday problems involving rates and ratios. Students will determine complementary events and use the sum of probabilities to solve problems. They will understand the challenges of collecting representative data and the effect on medians and means of outliers. Students will choose appropriate units of measurement for area and volume and solve problems. They will recognise the features of circles and solve problems involving circumference and area. Students will identify conditions for congruence of plane shapes and establish properties of quadrilaterals and solve related numerical problems. They will solve problems involving time duration.

Topics

  • BIMDAS
  • Precision in measurement
  • Percentages
  • Index laws
  • Simplifying algebraic expressions
  • Graph and solve linear equations
  • Solve problems involving rates and ratio
  • Survey design
  • Outliers
  • Solve area and volume problems
  • Probability
  • Congruence
  • Time duration

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

Assessment

Assessment will include investigations: 16% which require application of acquired knowledge to new situations and problem solving ability | tests: 48% | examinations 28%

Reporting

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

Student expectations

Students are expected to:

  • bring the required text, calculator and stationery to each lesson
  • complete regular homework from a variety of sources including the text, worksheets and MathsOnline
  • be aware of assessment dates and have prepared thoroughly for each assessment
  • be proactive in seeking help from the teacher when required

Practical - Course Outline

Overview

The students will broadened their understanding of mathematics at an elementary level by completing topics in the content strands of Number and Algebra, Measurement and Geometry and Statistics and Probability. Some students may be on individual education programs more suited to their ability. As far as possible, content from the Australian Curriculum for Year 8 will be covered.

Topics

  • place value
  • arithmetic operations
  • multiples and factors
  • primes and composites
  • length, perimeter, area, volume
  • fraction arithmetic
  • decimals
  • simple percentages
  • working with angles and polygons
  • transformations
  • mass and time calculations
  • plotting points
  • statistics

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

Assessment

Assessment will include investigations (16%) which require application of acquired knowledge to new situations and problem solving ability, tests (48%) and examinations (28%). Some students may do modified assessments to suit their needs.

Reporting

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

Student Expectations

Students are expected to:

  • bring the required text, calculator and stationery to each lesson
  • complete regular homework from a variety of sources including the text, worksheets and MathsOnline
  • be aware of assessment dates and have prepared thoroughly for each assessment
  • be proactive in seeking help from the teacher when required

Advanced - Course Outline

Overview

In addition to the standard Australian Curriculum, Year 8 Mathematics Advanced will students tackle problems at a higher difficulty level as well as some more demanding topics. They will use efficient mental and written strategies to carry out the four operations with integers. They will round decimals and solve problems involving percentages. Students will recognise the index laws and apply them to whole numbers and variables. They will simplify a variety of algebraic expressions and solve linear equations. They will graph linear relationships on the Cartesian plane. They will solve a range of everyday problems involving rates and ratios. Students will determine complementary events and use the sum of probabilities to solve problems. They will understand the challenges of collecting representative data and the effect on medians and means of outliers. Students will choose appropriate units of measurement for area and volume and solve problems. They will recognise the features of circles and solve problems involving circumference and area. Students will identify conditions for congruence of plane shapes and establish properties of quadrilaterals and solve related numerical problems. They will solve problems involving time duration.

Topics

  • BIMDAS
  • Precision in measurement
  • Percentages
  • Index laws
  • Simplifying algebraic expressions
  • Graph and solve linear equations
  • Solve problems involving rates and ratio
  • Survey design and statistics
  • Solve area and volume problems
  • Probability
  • Congruence
  • Time duration and time zones
  • Substitution into formulae
  • Solve algebraic word problems
  • finance

Further elaboration of the topics covered may be found in program of learning issued to the students at the commencement of the course.

Assessment

Assessment will include investigations (16%) which require application of acquired knowledge to new situations and problem solving ability, tests (48%) and examinations (28%).

Reporting

A brief interim report on class work and behaviour will be issued towards the end of Term 1. The achievement for the course will be reported as a College A - E grade in both Semester 1 and Semester 2. In addition, the student's approach to class work and behaviour will be reported via the usual key performance indicators.

Student Expectations

Students are expected to:

  • bring the required text, calculator and stationery to each lesson
  • complete regular homework from a variety of sources including the text, worksheets and MathsOnline
  • be aware of assessment dates and have prepared thoroughly for each assessment
  • be proactive in seeking help from the teacher when required

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  • PO Box 226, Claremont, Western Australia 6910
  • Telephone: 08 9383 0400
  • Email: jtc@johnxxiii.edu.au | Web: www.johnxxiii.edu.au




John XXIII College acknowledges the Whadjuk people of the Noongar nation who are the traditional custodians of this land upon which we live, learn and work. We acknowledge the continued deep spiritual connection and relationship of the Aboriginal peoples to this country and commit to the ongoing journey of reconciliation.

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