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Mathematics Curriculum & Assessments Map - Year 9

 

Curriculum and Assessment Map     KS3 

Half Term  1

Half Term 2

Half Term 3

Half Term 4

Half Term 5

Half Term 6

Curriculum Coverage:

·         Direct and inverse proportion

·         Sequences: nth term

·         Linear graphs

·         Inequalities

 

Curriculum Coverage:

· Quadratic equations

· Algebraic fractions

Curriculum Coverage:

· Construction and loci

· Bearings

· Similar shapes

· Surface area

 

Curriculum Coverage:

· Simultaneous equations

· Iterative methods for solving

· Quadratic equations

· Function notation

Curriculum Coverage:

· Venn diagrams and set notation

· Grouped data

· Scatter graphs

 

Curriculum Coverage:

· Year 9 end of year assessment preparation

 

 

Assessment 1

 

United Learning KPI written assessment 1a

 

Assessment 2

 

United Learning KPI written assessment 1b

 

Assessment 3

 

United Learning KPI written assessment 2a

 

Assessment 4

 

United Learning KPI written assessment 2b

 

Assessment 5

 

United Learning KPI written assessment 3a

 

Final Assessment

 

United Learning KPI written assessment 3c

 

Links to NC:

·         Use coordinates in all 4 quadrants

·         Plot simple straight-line graphs

·         Recognise the equations of straight lines parallel to the axes

·         Draw straight lines parallel to the axes

·         Work out the equation of a straight line from a graph

·         Given the equation of straight line, identifies a match from a list of other equations that have been rearranged

·         Find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs

·         Solve Linear Equalities in one variable

·         Solves ‘single’ and ‘double’ inequalities

·         Use the convention of an open circle on a number line for a strict inequality and a closed circle for an included boundary

·         Use the convention of a dashed line for strict inequalities and a solid line for an included boundary

·         Gives possible values satisfying a ‘double’ inequality.

·         Represents a ‘double’ inequality on a number line.

·         Plot or describe regions bounded by up to 3 inequalities

Links to NC:

· Simplify and manipulate algebraic expressions to maintain equivalence by expanding products of two or more binomials.

· Factorise quadratic expressions including the difference of two squares

· Recognise special cases such as perfect square and difference of two squares.

· Solve quadratic equations algebraically by factorising.

· Recognise, sketch and produce graphs of quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane

· Use quadratic graphs to estimate values of y for given values of x and vice versa

· Solve by plotting (and understand that quadratics may have 0, 1 or 2 roots).

· Calculate coordinates of turn point and equation of axis of symmetry.

· Simplify a range of algebraic fractions from:

· Single terms numerator and denominator

· Quadratic expressions numerator and denominator.

· Simplifies before multiplying or dividing (algebraic) fractions.

· Solve equations with a single algebraic fraction.

· Solve equations involving addition or subtraction of two algebraic fractions (denominators as numbers to keep it linear).

Links to NC:

· Derive and use the standard ruler and compass constructions:

· perpendicular bisector of a line segment

· constructing a perpendicular to a given line from/at a given point

· bisecting a given angle;

· Recognise and use the perpendicular distance from a point to a line as the shortest distance to the line

· Interpret maps, scale drawings and use of bearings

· Use known results to obtain simple proofs

· Use Pythagoras’ Theorem in similar triangles to solve problems involving right-angled triangles

· Derive and apply formulae to calculate and solve problems involving surface area of cuboids (including cubes) and other prisms (including cylinders)

 

Links to NC:

· Use linear and quadratic graphs to find approximate solutions of simultaneous linear equations

· Solve simultaneous equations by elimination and substitution

· Find approximate solutions to equations numerically using iteration

· Solve quadratic equations algebraically by factorisation

· Solve quadratic equations algebraically by using the quadratic formula

· Construct and solve an equation from a geometric problem (e.g. area of rectangle)

· Write functions in the form f(x)

· Perform simple manipulations of functions, such as inverse and composite functions

Links to NC:

· List possible elements in a set.

· Interpret symbols for union, intersect and complement.

· Draw and interpret Venn diagrams with 2 sets.

· Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts and vertical line (or bar) charts for ungrouped and grouped numerical data

· Calculate the mean from a grouped frequency table.

· Plot a cumulative frequency curve

· Plot scatter graphs and draw estimated line of best fit

· Describe correlation and make predictions (but know that correlation doesn’t mean causation)

Links to NC:

Students will receive individualised revision programs based around analysis of their success with the Key Performance Indicators in preparation for their end of year exam.

Links to Core Values:

 

Creativity through problem solving.

Links to Core Values:

 

Enthusiasm for trying new methods.

Links to Core Values:

 

Determination to overcome challenges.

Links to Core Values:

 

Respect through valuing others contributions.

Links to Core Values:

 

Ambition to deepen understanding.

Links to Core Values:

 

Confidence through assessment.