Cathkin High School, Langlea Road, Cambuslang, G72 8ES

Mathematics Department National 5 Learners Journey

R Doig

Homework:We encourage pupils to complete homework most nights to help pupils with retention and develop the skills for self-management for their exams. It can be through our Google Classroom, text book or at the teacher’s discretion. How to Help at Home:

Encourage your child to complete homework Encourage your child to use their Glow account to access material that will help their studies Encourage your child to study at home, going over previous topics Use material on school website BBC Bize Scotland has material for National 5 https://www.bbc.com/education/subjects/ztrjmp3 www.national5maths.co.uk

Revision:Your child has three units of work for National 5 Maths Applications, Expressions & Formulae and Relationships. These links have good revision questions and notes for your child to use at home;

https://www.bbc.com/education/subjects/ztrjmp3 www.national5maths.co.uk

Learning Intention Success Criteria How can I help at home? Assessments

Applications:Working with two-dimensional vectors

Working with three-dimensional coordinates

Using vector components

Calculating the magnitude of a

♦ Adding or subtracting two-dimensional vectors using directed line segments

♦ Determining coordinates of a point from a diagram representing a three-dimensional object

♦ Adding or subtracting two- or three-dimensional vectors using components

http://www.mathsrevision.com/index_files/National5.htmThis website has notes and examples for all National 5 topics

https://www.bbc.com/education/subjects/ztrjmp3 This website has notes and examples for all National 5 topics

School Glow account has past paper questions and worksheets

Learning Intention Success Criteria How can I help at home? Assessmentsvector

Working with the graphs of trigonometric functions

Working with trigonometric relationships in degrees

Calculating the area of a triangle using trigonometry

Using the sine and cosine rules to find a side or angle in a triangle

Using bearings with trigonometry

Comparing data sets using statistics

Forming a linear model from a

♦ Magnitude of a two- or three-dimensional vector

♦ Basic graphs♦ Amplitude♦ Vertical translation♦ Multiple angle♦ Phase angle

♦ Sine, cosine and tangent of angles from °0 to 360°♦ Period♦ Related angles♦ Solve basic equations♦ Use the identities sin2 x+cos2 x=1 and

tanθ= sin θcosθ

♦ A=12

ab sinC

♦ Sine rule for side and angle♦ Cosine rule for side and angle

♦ To find a distance or direction

Compare data sets using calculated/determined:♦ semi-interquartile range♦ standard deviation

Unit Assessment Applications

Learning Intention Success Criteria How can I help at home? Assessmentsgiven set of data ♦ Determine the equation of a best-fitting straight

line on a scattergraph and use it to estimate y given x

Learning Intention Success Criteria How can I help at home? OutcomesRelationships

Determining the equation of a straight line

Working with linear equations and inequations

Working with simultaneous equations

♦Use the formula y-b = m(x-a) or equivalent to find the equation of a straight line, given two points or one point and the gradient of the line♦ Use functional notation, f (x)♦ Identify gradient and y-intercept from various forms of the equation of a straight line

♦ Where numerical coefficients are rational numbers, Q♦ Where numerical solutions are rational numbers, Q

♦ Construct from text♦ Graphical solution♦ Algebraic solution

http://www.mathsrevision.com/index_files/National5.htmThis website has notes and examples for all National 5 topics

https://www.bbc.com/education/subjects/ztrjmp3This website has notes and examples for all National 5 topics

School Glow account has past paper questions and worksheets

Learning Intention Success Criteria How can I help at home? OutcomesChanging the subject of a formula

Recognise and determine the equation of a quadratic function from its graph

Sketching a quadratic function

Identifying features of a quadratic function

Solving a quadratic equation

Solving a quadratic equation using the quadratic formula

Using the discriminant to determine

♦ Linear formula♦ Formula involving a simple square or square root

Identify:♦ the nature and coordinates of the turning point♦ the equation of the axis of symmetryof a quadratic of the form k ( x+a )2−b where k , a ,b are ¿ set R

♦ Solving from factorised form♦ Solving having factorised first♦ Graphical treatment

♦ Solving using the quadratic formula

Learning Intention Success Criteria How can I help at home? Outcomesthe number of roots

Calculating the volume of a standard solid

Applying Pythagoras’ theorem

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

Using similarity

♦ Know and use the discriminant♦ Determine the number and describe the nature of roots using the language ‘two real and distinct roots’, ‘one repeated real root’, ‘two equal real roots’ and ‘no real roots’

♦ Sphere, cone, pyramid

♦ Using Pythagoras’ theorem in complex situations including converse and three dimensions

♦ Quadrilaterals/triangles/polygons/circles♦ Relationship in a circle between the centre, chord and perpendicular bisector

♦ Interrelationship of scale — length, area and volume

Unit Assessment Relationships

Expressions and Formulae

Working with algebraic expressions involving expansion of brackets

http://www.mathsrevision.com/index_files/National5.htmThis website has notes and examples for all National 5 topics

https://www.bbc.com/education/subjects/

Learning Intention Success Criteria How can I help at home? Outcomes

Factorising an algebraic expression

Completing the square in a quadratic expression with unitary x2coefficient

Reducing an algebraic fraction to its simplest form

Applying the four operations to algebraic fractions

Determining the gradient of a straight line, given two points

Circle geometry

♦Common factor♦ Difference of squares x2− y2

♦ Trinomials with unitary and non-unitary x2 coefficient♦ Combinations of the above

m=y2− y1x2−x1

ztrjmp3This website has notes and examples for all National 5 topics

School Glow account has past paper questions and worksheets

Unit Assessment Expressions and Formulae

Learning Intention Success Criteria How can I help at home? Outcomes

♦ Calculating the length of an arc♦ Calculating the area of a sector

All three units includeInterpreting a situation where mathematics can be used and identifying a strategy

Explaining a solution and relating it to context

♦ Can be attached to any operational skills to require analysis of a situation

♦ Can be attached to any operational skills to require explanation of the solution given

Final Exam