Mathematics: fourth level experiences and outcomes

MTH 4-03b

I have investigated how introducing brackets to an expression can change the emphasis and can demonstrate my understanding by using the correct order of operations when carrying out calculations.

MNU 4-03aAcross learning

Having recognised similarities between new problems and problems I have solved before, I can carry out the necessary calculations to solve problems set in unfamiliar contexts.

MTH 4-06a

I have developed my understanding of the relationship between powers and roots and can carry out calculations mentally or using technology to evaluate whole number powers and roots, of any appropriate number.

MTH 4-06b

Within real-life contexts, I can use scientific notation to express large or small numbers in a more efficient way and can understand and work with numbers written in this form.

MTH 4-07b

I can solve problems involving fractions and mixed numbers in context, using addition, subtraction or multiplication.

MNU 4-07aAcross learning

I can choose the most appropriate form of fractions, decimal fractions and percentages to use when making calculations mentally, in written form or using technology, then use my solutions to make comparisons, decisions and choices.

MNU 4-08aAcross learning

Using proportion, I can calculate the change in one quantity caused by a change in a related quantity and solve real-life problems.

MTH 4-11b

Through investigating real-life problems involving the surface area of simple 3D shapes, I can explore ways to make the most efficient use of materials and carry out the necessary calculations to solve related problems.

MTH 4-11c

I have explored with others the practicalities of the use of 3D objects in everyday life and can solve problems involving the volume of a prism, using a formula to make related calculations when required.

MNU 4-11aAcross learning

I can apply my knowledge and understanding of measure to everyday problems and tasks and appreciate the practical importance of accuracy when making calculations.

MTH 4-12a

I have discussed the importance of mathematics in the real world, investigated the mathematical skills required for different career paths and delivered, with others, a presentation on how mathematics can be applied in the workplace.

MTH 4-13a

Having explored how real-life situations can be modelled by number patterns, I can establish a number sequence to represent a physical or pictorial pattern, determine a general formula to describe the sequence, then use it to make evaluations and solve related problems.

MTH 4-13b

I have discussed ways to describe the slope of a line, can interpret the definition of gradient and can use it to make relevant calculations, interpreting my answer for the context of the problem.

MTH 4-13c

Having investigated the pattern of the coordinate points lying on a horizontal or vertical line, I can describe the pattern using a simple equation.

MTH 4-13d

I can use a given formula to generate points lying on a straight line, plot them to create a graphical representation then use this to answer related questions.

MTH 4-14a

Having explored the distributive law in practical contexts, I can simplify, multiply and evaluate simple algebraic terms involving a bracket.

MTH 4-14b

I can find the factors of algebraic terms, use my understanding to identify common factors and apply this to factorise expressions.

MTH 4-15a

Having discussed the benefits of using mathematics to model real-life situations, I can construct and solve inequalities and an extended range of equations.

MTH 4-16a

I have explored the relationships that exist between the sides, or sides and angles, in right-angled triangles and can select and use an appropriate strategy to solve related problems, interpreting my answer for the context.

MTH 4-16b

Having investigated the relationships between the radius, diameter, circumference and area of a circle, I can apply my knowledge to solve related problems.

MTH 4-17a

Having investigated the relationship between a radius and a tangent and explored the size of the angle in a semi-circle, I can use the facts I have established to solve related problems.

MTH 4-17b

I can apply my understanding of the properties of similar figures to solve problems involving length and area.

MTH 4-18a

I can plot and describe the position of a point on a 4-quadrant coordinate grid.

MTH 4-18b

I can apply my understanding of the 4-quadrant coordinate system to move, and describe the transformation of, a point or shape on a grid.

MTH 4-19a

Having investigated patterns in the environment, I can use appropriate mathematical vocabulary to discuss the rotational properties of shapes, pictures and patterns and can apply my understanding when completing or creating designs.

MTH 4-20b

In order to compare numerical information in real-life contexts, I can find the mean, median, mode and range of sets of numbers, decide which type of average is most appropriate to use and discuss how using an alternative type of average could be misleading.

MTH 4-21a

I can select appropriately from a wide range of tables, charts, diagrams and graphs when displaying discrete, continuous or grouped data, clearly communicating the significant features of the data.

MNU 4-20aAcross learning

I can evaluate and interpret raw and graphical data using a variety of methods, comment on relationships I observe within the data and communicate my findings to others.

MNU 4-01aAcross learning

Having investigated the practical impact of inaccuracy and error, I can use my knowledge of tolerance when choosing the required degree of accuracy to make real-life calculations.

MNU 4-09aAcross learning

I can discuss and illustrate the facts I need to consider when determining what I can afford, in order to manage credit and debt and lead a responsible lifestyle.

MNU 4-09bAcross learning

I can source information on earnings and deductions and use it when making calculations to determine net income.

MNU 4-09cAcross learning

I can research, compare and contrast a range of personal finance products and, after making calculations, explain my preferred choices.

MNU 4-10aAcross learning

I can research, compare and contrast aspects of time and time management as they impact on me.

MNU 4-10bAcross learning

I can use the link between time, speed and distance to carry out related calculations.

MNU 4-22aAcross learning

By applying my understanding of probability, I can determine how many times I expect an event to occur, and use this information to make predictions, risk assessment, informed choices and decisions.