Curriculum Level 4 - Year 9 or 10 Mathematics
It is the obligation of the teacher to devise a teaching sequence of lesson and assessment plans which implements the following curriculum.
Curriculum Content.
The Year 9 or 10 Curriculum level 4 mathematics course covers five strands of the mathematics curriculum, number, measurement, statistics, algebra and geometry. The content of each strand is defined by its achievement objectives.
They come from the TKI website and can be found at;
http://www.tki.org.nz/r/maths/curriculum/statement/contentse.phps
Number: Level 4 Mathematics Achievement Objectives
Exploring number
Within a range of meaningful contexts, students should be able to:
- explain the meaning of negative numbers;
- explain the meaning and evaluate powers of whole numbers;
- find fractions equivalent to one given;
- express a fraction as a decimal, and vice versa;
- express a decimal as a percentage, and vice versa;
- express quantities as fractions or percentages of a whole.
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Exploring computation and estimation
Within a range of meaningful contexts, students should be able to:
- make sensible estimates and check the reasonableness of answers;
- write and solve problems involving decimal multiplication and division;
- find a given fraction or percentage of a quantity;
- explain satisfactory algorithms for addition, subtraction, and multiplication;
- demonstrate knowledge of the conventions for order of operations.
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Measurement: Level 4 Mathematics Achievement Objectives
Estimating and measuring
Within a range of meaningful contexts, students should be able to:
- carry out measuring tasks involving reading scales to the nearest gradation;
- calculate perimeters of circles, rectangles, and triangles, areas of rectangles, and volumes of cuboids from measurements of length;
- read and construct a variety of scales, timetables, and charts;
- design and use a simple scale to measure qualitative data.
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Developing concepts of time, rate, and change
Within a range of meaningful contexts, students should be able to:
- perform calculations with time, including 24-hour clock times.
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Statistics: Level 4 Mathematics Achievement Objectives
Statistical investigations
Within a range of meaningful contexts, students should be able to:
- plan a statistical investigation arising from the consideration of an issue or an experiment of interest ;
- collect appropriate data;
- choose and construct quality data displays (frequency tables, bar charts, and histograms) to communicate significant features in measurement data;
- collect and display time-series data.
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Interpreting statistical reports
Within a range of meaningful contexts, students should be able to:
- report the distinctive features (outliers, clusters, and shape of data distribution) of data displays;
- evaluate others' interpretations of data displays;
- make statements about implications and possible actions consistent with the results of a statistical investigation.
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Exploring probability
Within a range of meaningful contexts, students should be able to:
- estimate the relative frequencies of events and mark them on a scale;
- find all possible outcomes for a sequence of events, using tree diagrams.
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Algebra: Level 4 Mathematics Achievement Objectives
Exploring patterns and relationships
Within a range of meaningful contexts, students should be able to:
- find a rule to describe any member of a number sequence and express it in words;
- use a rule to make predictions;
- sketch and interpret graphs on whole number grids which represent simple everyday situations.
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Exploring equations and expressions
Within a range of meaningful contexts, students should be able to:
- find and justify a word formula which represents a given practical situation;
- solve simple linear equations such as 2
 + 4 = 16.
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Geometry: Level 4 Mathematics Achievement Objectives
Exploring shape and space
Within a range of meaningful contexts, students should be able to:
- construct triangles and circles, using appropriate drawing instruments;
- design the net and make a simple polyhedron to specified dimensions;
- make a model of a solid object from diagrams which show views from the top, front, side, and back;
- draw diagrams of solid objects made from cubes;
- specify location, using bearings or grid references.
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Exploring symmetry and transformations
Within a range of meaningful contexts, students should be able to:
- apply the symmetries of regular polygons;
- describe the reflection or rotational symmetry of a figure or object;
- enlarge and reduce a 2-dimensional shape and identify the invariant properties.
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Assessment
All assessments are to be obtained from the HOD. They come from the AWS Mathematics Assessments series of which the Department has a copy and therefore photocopiable rights.These multi level assessments cover each of the strands at levels 2,3,4 and 5.
There are also sets of multi strand assessments addressing the specific levels of the curriculum. The level 4 assessment covers all the strands at level 4.
At the conclusion of each assessment the marked scripts are to be filed in the students file.
Qualifications.
This course does not conclude with any nationally recognised qualification.