Mathematics Relationships (National 5)

1

Applying algebraic skills related to linear relationships

1.1

 

Determining the equation of a straight

line, given the gradient

¨       Use the formula or equivalent to find the equation of a straight line, given one point and the gradient of the line

¨       Use functional notation

¨       Identify gradient and - intercept from

Ø  Identify gradient and - intercept from various forms of the equation of a straight line

1.2

Working with linear equations and inequations

¨       Coefficients are a member of ℤ

¨       Solutions are a member of ℚ

1.3

Working with simultaneous equations

¨       Construct from text

¨       Graphical Solution

¨       Algebraic Solution

1.4

Changing the subject of a formula

¨       Linear equation

Ø  Equation involving a simple square or square root

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2

Applying algebraic skills related to quadratic relationships

2.1

 

Recognise and determine the equation of a

 quadratic function from its graph

¨       Equations of the form  and

 where   are Integers

2.2

Sketching a quadratic function

¨       Equations of the form

and

2.3

Identifying features of a quadratic function

¨       Identify nature, coordinates of turning point and the

equation of the axis of symmetry of a quadratic of the form , where  or

3

Applying algebraic skills related to quadratic relationships

3.1

Working with quadratic equations

·         Factorised

·         Graphically

·         Quadratic Formula

·         Discriminant

·         Roots

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4

Applying geometric skills related to lengths, angles and similarity

4.1

Applying the Pythagoras’ theorem

¨       Using Pythagoras’ theorem in complex

situations including converse and 3D

4.2

 

Applying the properties of shapes to determine an angle involving at least two steps

¨       Quadrilaterals/triangles/polygons/circles

Ø  Relationship in a circle between the centre,

 chord and perpendicular bisector

4.3

Using similarity

¨       Interrelationship of scale –Length, area and volume

 

5

Applying trigonometric skills related to graphs and identities

5.1

Working with the graphs of trigonometric functions

¨       Basic graphs

¨       Amplitude

¨       Vertical translation

¨       Multiple angle

Ø  Phase angle

5.2

Working with trigonometric relationships in degrees

¨       Sine, cosine and tangent of angles

¨       Period

¨       Related angles

¨       Solve basic equations

Ø  Identities

 ,

6

Reasoning Skills

6.1

Interpreting a situation where mathematics can be used  and  identifying a valid strategy

6.2

Explaining a solution and relating it to context

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