## Educators' Guide for Pedagogy and Assessment

Click the icon below to download the Educators' Guide for Pedagogy and Assessment

### 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 LEARNING

### Learning 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 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.

### 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

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 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 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 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.

### 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 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.

### 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 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

### Learning 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