Educators' Guide for Pedagogy and Assessment
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Learning Area: Mathematics
Core Mathematics > LEVEL 7
Learning Area Outcome: I understand the structure of the number system and the relationship between numbers.
Subject Focus: Number - The Number System
1] I can use whole numbers in practical contexts.
2] I can recognise and work with directed numbers in real life situations, including temperature changes.
3] I can demonstrate and use equivalences between common fractions, decimals and percentages.
4] I can recognise and use numerical patterns.
COGNITIVE LEARNING
2] I can recognise and work with directed numbers in real life situations, including temperature changes.
3] I can demonstrate and use equivalences between common fractions, decimals and percentages.
4] I can recognise and use numerical patterns.
COGNITIVE LEARNINGLearning Area Outcome: I can calculate mentally, using pencil and paper and assistive technology. I can calculate to the most appropriate level of accuracy. I can check the reasonableness of the answers obtained in calculations by rounding numbers and making rough approximations.
Subject Focus: Number - Numerical Calculations
1] I can add, subtract, multiply and divide whole numbers using a range of strategies.
COGNITIVE LEARNING
2] I can add and subtract decimals up to two decimal places.
COGNITIVE LEARNING
3] I can add and subtract, multiply and divide fractions.
COGNITIVE LEARNING
4] I can make calculations mentally and on-paper.
COGNITIVE LEARNING
5] I can find simple percentages of whole number quantities.
COGNITIVE LEARNING
6] I can express a quantity as a percentage of another.
7] I can find percentage increase and percentage decrease.
8] I can use formula to work out simple interest.
9] I can recognise and work with directed numbers in real life situations, including temperature changes.
10] I can write ratios in their simplest form.
11] I can use simple map ratios.
12] I can work through simple situations that involve direct proportion using the unitary method including money, speed distance, time, weight and capacity.
13] I can work with quantities in a given proportion.
COGNITIVE LEARNING2] I can add and subtract decimals up to two decimal places.
COGNITIVE LEARNING3] I can add and subtract, multiply and divide fractions.
COGNITIVE LEARNING4] I can make calculations mentally and on-paper.
COGNITIVE LEARNING5] I can find simple percentages of whole number quantities.
COGNITIVE LEARNING6] I can express a quantity as a percentage of another.
7] I can find percentage increase and percentage decrease.
8] I can use formula to work out simple interest.
9] I can recognise and work with directed numbers in real life situations, including temperature changes.
10] I can write ratios in their simplest form.
11] I can use simple map ratios.
12] I can work through simple situations that involve direct proportion using the unitary method including money, speed distance, time, weight and capacity.
13] I can work with quantities in a given proportion.
Learning Area Outcome: I can recognise and describe patterns and relationships in various mathematical ways and can use algebraic manipulations.
Subject Focus: Algebra - Fundamentals of Algebra
1] I can work out the input/output of number machines inspired by real examples such as equations involving degrees Celsius and Fahrenheit.
LEARNING TO DO
2] I can recognise and create geometric and number patterns and relationships in mathematics.
3] I can plot points and read coordinates from a grid in all four quadrants.
READING AND UNDERSTANDING
4] I can draw the graph of a linear equation given in the form y = mx + c.
MANAGING LEARNING
5] I can define and work out the gradient of slope.
6] I can write the coordinates of a set of points for equations e.g. y = 3x, y = -4 or y = 3x + 4.
WRITING
7] I can continue a conversion graph to find a missing reading.
8] I can compare and contrast information from two or more line graphs concerning real-life situations.
LEARNING TO DO2] I can recognise and create geometric and number patterns and relationships in mathematics.
3] I can plot points and read coordinates from a grid in all four quadrants.
READING AND UNDERSTANDING4] I can draw the graph of a linear equation given in the form y = mx + c.
MANAGING LEARNING5] I can define and work out the gradient of slope.
6] I can write the coordinates of a set of points for equations e.g. y = 3x, y = -4 or y = 3x + 4.
WRITING7] I can continue a conversion graph to find a missing reading.
8] I can compare and contrast information from two or more line graphs concerning real-life situations.
Learning Area Outcome: I understand and use various forms of measurement and can make reasonable estimations.
Subject Focus: Shape, Space and Measures - Measures
1] I can show and label the eight compass points.
COGNITIVE LEARNING
2] I can identify and distinguish between right, acute, obtuse and reflex angles. I can also estimate their size and can order them according to size.
3] I can estimate the size of an angle and can use a protractor to measure and draw angles up to 360°.
4] I can convert and use units of length, mass, capacity and volume to smaller or larger units in simple situations.
5] I can calculate the area of compound shapes that are made up of rectangles and right-angled triangles.
6] I can define the meaning of a solid shape.
7] I can define the meaning of capacity.
8] I can define the surface area of a solid shape.
9] I can calculate the surface area and volume of cubes and cuboids.
10] I can distinguish between prisms and pyramids and find the volume of prisms.
11] I can draw and interpret simple scale drawings.
WRITING
12] I can read and write the vocabulary related to time.
READING AND UNDERSTANDING
13] I can use standard units of timeand know the relationships between them.
14] I am able to convert different units of time, use the 12-hour/24-hour clock, and read and use a timetable and a calendar.
READING AND UNDERSTANDING
15] I can estimate and calculate time using seconds, minutes and hours.
COGNITIVE LEARNING2] I can identify and distinguish between right, acute, obtuse and reflex angles. I can also estimate their size and can order them according to size.
3] I can estimate the size of an angle and can use a protractor to measure and draw angles up to 360°.
4] I can convert and use units of length, mass, capacity and volume to smaller or larger units in simple situations.
5] I can calculate the area of compound shapes that are made up of rectangles and right-angled triangles.
6] I can define the meaning of a solid shape.
7] I can define the meaning of capacity.
8] I can define the surface area of a solid shape.
9] I can calculate the surface area and volume of cubes and cuboids.
10] I can distinguish between prisms and pyramids and find the volume of prisms.
11] I can draw and interpret simple scale drawings.
WRITING12] I can read and write the vocabulary related to time.
READING AND UNDERSTANDING13] I can use standard units of timeand know the relationships between them.
14] I am able to convert different units of time, use the 12-hour/24-hour clock, and read and use a timetable and a calendar.
READING AND UNDERSTANDING15] I can estimate and calculate time using seconds, minutes and hours.
Learning Area Outcome: I can recognise and describe the properties of shapes. I can use these properties to construct shapes using appropriate mathematical instruments and to prove given geometric statements.
Subject Focus: Shape, Space and Measures - Euclidean Geometry
1] I can classify triangles, quadrilaterals and other polygons by their geometric properties.
2] I can recognise geometric properties in everday objects.
3] I can understand the terms 'regular' and 'irregular' polygons. READING AND UNDERSTANDING
4] I can use positive and negative coordinates to plot points and draw shapes.
5] I can identify the centre, radius, diameter and circumference of a circle.
6] I can construct 60° and 90° angles, perpendicular bisector and angle bisector, and triangles using a ruler and compasses only.
7] I can construct 60° and 90° angles and triangles using a dynamic geometry software package.
8] I can construct regular hexagons using ruler and compasses only.
9] I can construct regular hexagons using dynamic geometry software.
10] I can draw different views of a given solid.
11] I can identify possible and impossible nets of cubes and cuboids.
2] I can recognise geometric properties in everday objects.
3] I can understand the terms 'regular' and 'irregular' polygons.
READING AND UNDERSTANDING4] I can use positive and negative coordinates to plot points and draw shapes.
5] I can identify the centre, radius, diameter and circumference of a circle.
6] I can construct 60° and 90° angles, perpendicular bisector and angle bisector, and triangles using a ruler and compasses only.
7] I can construct 60° and 90° angles and triangles using a dynamic geometry software package.
8] I can construct regular hexagons using ruler and compasses only.
9] I can construct regular hexagons using dynamic geometry software.
10] I can draw different views of a given solid.
11] I can identify possible and impossible nets of cubes and cuboids.
Learning Area Outcome: I can describe the position and movement of shapes in 2D.
Subject Focus: Shape, Space and Measures - Transformation Geometry
1] I can classify triangles and some quadrilaterals using reflective symmetry.
2] I can identify and draw lines of symmetry in triangles and quadrilaterals.
3] I can identify shapes having rotational symmetry and find their order of symmetry.
4] I can identify the reflective and rotational symmetries of a regular polygon.
5] I can create tessellating shapes and draw a tessellation.
2] I can identify and draw lines of symmetry in triangles and quadrilaterals.
3] I can identify shapes having rotational symmetry and find their order of symmetry.
4] I can identify the reflective and rotational symmetries of a regular polygon.
5] I can create tessellating shapes and draw a tessellation.
Learning Area Outcome: I can collect, analyse, interpret and communicate statistical information.
Subject Focus: Data Handling and Chance - Statistics
1] I can select and represent data using a variety of statistical diagrams.
CREATIVE LEARNING
2] I can extract and interpret information from frequency tables, diagrams, charts and graphs.
3] I can collect and record discrete data and organise and represent information in different ways to suit different purposes.
CREATIVE LEARNING
4] I can find and interpret averages in different data to compare distributions.
5] I can find the mean, mode, median and range in a data set.
MANAGING LEARNING
CREATIVE LEARNING2] I can extract and interpret information from frequency tables, diagrams, charts and graphs.
3] I can collect and record discrete data and organise and represent information in different ways to suit different purposes.
CREATIVE LEARNING4] I can find and interpret averages in different data to compare distributions.
5] I can find the mean, mode, median and range in a data set.
MANAGING LEARNINGLearning Area Outcome: I understand the ideas of chance and uncertainty and can work out probability calculations.
Subject Focus: Data Handling and Chance - Probability
1] I can use the probability scale from 0 to 1.
2] I can find the theoretical probability of an event happening and an event not happening.
3] I can distinguish between experimental and theoretical probability.
4] I can find the probability of an event by experiment.
5] I can construct a possiblity space and use it to work the probability of an outcome.
WRITING
2] I can find the theoretical probability of an event happening and an event not happening.
3] I can distinguish between experimental and theoretical probability.
4] I can find the probability of an event by experiment.
5] I can construct a possiblity space and use it to work the probability of an outcome.
WRITING
