focus: fluency, reasoning mathematically and problem...

3
Autumn 1 Negative Numbers Fractions,Decimals and Percentages Applications of Addition/Subtraction Autumn 2 Proportional Reasoning Angle Properties Properties of Number - Factors Spring 1 Place Value,Rounding and Estimation Manipulating Fractions Algebraic Notation Spring 2 Calculating with Fractions and Percentages Algebraic Manipulation Summer 1 Area Ratio and Proportion Summer 2 Solving Linear Equations Sequences KS1 and KS2 (Expected) Understanding of place value and the number system Fluency in written calculations for all four operations Working with fractions, decimals, percentages and ratio to develop connections. A-Level Courses requiring Maths at Grade 4/5+ Summer 1 Coordinates and Linear Graphs (including Reflections) Rotations Summer 2 Probability Sequences Spring 1 Venn Diagrams and Set Notation Algebraic Manipulation Area and Surface Ares Spring 2 Percentages (Calc) Forming and Solving Equations Autumn 1 Rounding and Estimation Fractions, Decimals and Percentages Calculating with Fractions Autumn 2 Interior and Exterior Angles Expressions and Formulae Percentages (Non-Calc) Autumn 1 Calculating with Fractions Interior and Exterior Angles Laws of Indices Autumn 2 Standard Form Percentages Algebraic Manipulation (Application) Circumference and Arc Length Spring 1 Pythagoras’ Theorem Enlargement and Similarity Spring 2 Speed, Distance and Time Inequalities and Limits of Accuracy Volume Summer 1 Linear Graphs Quadratic Graphs Summer 2 Manipulating Quadratics Column Vectors and Translation Simultaneous Equations (Intro) Through varied and frequent practice students will develop conceptual understanding, build rapid recall and application of their knowledge. Autumn 1 Direct Proportion Non-Linear Graphs Similar Shapes Autumn 2 Compound Units Right-Angled Triangles(Pythagoras and Trigonometry) Spring 1 Vector Geometry Accurate Drawing (Loci and Bearings) Spring 2 Targeted Revision of Prior Learning GCSE Rev ision and Final Exam Preparations Summer Statistics Collecting Data Representing and Interpreting Data (including Stem and Leaf, Frequency Polygons, Box Plots and Cumulative Frequency) Calculating Key Statistics for Listed and Tabulated Data. Probability FOCUS: Fluency, Reasoning Mathematically and Problem Solving FOCUS: Fluency, Reasoning Mathematically and Problem Solving FOCUS: Fluency, Reasoning Mathematically and Problem Solving FOCUS: Fluency, Reasoning Mathematically and Problem Solving Mathematics is an interconnected subject in which students need to move fluently between different representations of mathematical ideas. At GHS we strive to develop fluency, reasoning and problem solving in our students to enable them to apply their understanding to increasingly more complex and contextualised problems. Core Maths Students will continue to develop their application of knowledge with increasingly more complex problems over time, including using mathematical language to justify, generalise and reason. Y8 Y7 Students will apply their mathematics in a variety of routine and non - routine problems with increasing sophistication. Students will develop their ability to break down problems into a series of smaller steps and prioritise in multi - step problems. Y9 Students will t arget key gaps in their knowledge and application. Students will further enhance their mathematical understanding with a heightened focus on concepts in context in addition to building their mathematical reasoning skills. Y10 Apprenticeships Employment Y11 Interleaved Revision Quest ion Level Analysis and Closing of Gaps ident ified in Y10 Summer M ock Interleaved Revision Ongoing Quest ion Level Analysis and Closing of Gaps ident ified. Spring 1 Solving Quadratics Simultaneous Equations (Graph) Volume and Density Spring 2 Real-Life Graphs Accurate Drawing (Constructions) Autumn 1 Angles in Parallel Lines Fractions and Percentages Sectors Autumn 2 Accuracy and Bounds Linear Graphs Right-Angled Triangles (Trigonometry)

Upload: others

Post on 11-May-2020

6 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: FOCUS: Fluency, Reasoning Mathematically and Problem Solvingfluencycontent2-schoolwebsite.netdna-ssl.com/File... · FOCUS: Fluency, Reasoning Mathematically and Problem Solving Mathematics

Autumn 1Negative NumbersFractions, Decimals and PercentagesApplications of Addition/Subtraction

Autumn 2Proportional ReasoningAngle PropertiesProperties of Number - Factors

Spring 1Place Value, Rounding and EstimationManipulating FractionsAlgebraic Notation

Spring 2Calculating with Fractions and PercentagesAlgebraic Manipulation

Summer 1AreaRatio and Proportion

Summer 2Solv ing Linear EquationsSequences

KS1 and KS2 (Expected)• Understanding of place value

and the number system• Fluency in written calculations

for all four operations• Working with fractions,

decimals, percentages and ratio to develop connections.

A-Level Courses requiring Mathsat Grade 4/5+

Summer 1Coordinates and Linear Graphs (including

Reflections)Rotations

Summer 2ProbabilitySequences

Spring 1Venn Diagrams and Set Notation

Algebraic ManipulationArea and Surface Ares

Spring 2Percentages (Calc)

Forming and Solving Equations

Autumn 1Rounding and Estimation

Fractions, Decimals and PercentagesCalculating with Fractions

Autumn 2Interior and Exterior Angles

Expressions and FormulaePercentages (Non-Calc)

Autumn 1Calculating with FractionsInterior and Exterior AnglesLaws of Indices

Autumn 2Standard FormPercentagesAlgebraic Manipulation (Application)

Circumference and Arc Length

Spring 1Pythagoras’ TheoremEnlargement and Similarity

Spring 2Speed, Distance and TimeInequalities and Limits of AccuracyVolume

Summer 1Linear GraphsQuadratic Graphs

Summer 2Manipulating QuadraticsColumn Vectors and TranslationSimultaneous Equations (Intro)

Through varied and frequent practice

students will develop conceptual understanding, build

rapid recall and application of their

knowledge.

Autumn 1Direct ProportionNon-Linear GraphsSimilar Shapes

Autumn 2Compound UnitsRight-Angled Triangles(Pythagoras

and Trigonometry)

Spring 1Vector GeometryAccurate Drawing (Loci and Bearings)

Spring 2

Targeted Revision of Prior Learning

GCSE

Rev ision and Final Exam

Preparations

Summer Statistics

Collecting Data

Representing and Interpreting Data

(including Stem and Leaf, Frequency

Polygons, Box Plots and Cumulative

Frequency)

Calculating Key Statistics for Listed and

Tabulated Data.

Probability

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

Mat

hem

atic

s is

an

inte

rco

nn

ecte

d s

ub

ject

in w

hic

h s

tud

ents

nee

d t

o m

ove

flu

entl

y b

etw

een

dif

fere

nt

rep

rese

nta

tio

ns

of m

ath

emat

ical

idea

s. A

t G

HS

we

stri

ve to

dev

elo

p f

luen

cy, r

easo

nin

g an

d p

rob

lem

so

lvin

g in

ou

r st

ud

ents

to e

nab

le t

hem

to

ap

ply

thei

r u

nd

erst

and

ing

to in

crea

sin

gly

mo

re c

om

ple

x an

d c

on

text

ual

ised

pro

ble

ms.

Core Maths

Students will continue to develop their application of

knowledge with increasingly more complex problems

over time, including using mathematical language to justify,

generaliseand reason.

Y8

Y7

Students will apply their mathematics in a variety of routine and non-routine problems

with increasing sophistication.

Students will develop their ability to break

down problems into a series of smaller steps and prioritise in multi-

step problems.

Y9

Students will target key gaps

in their knowledge and application.

Students will further enhance their mathematical

understanding with a heightened focus

on concepts in context in addition

to building their mathematical

reasoning skills.

Y10

ApprenticeshipsEmployment

Y11

Inte

rle

ave

d

Re

vis

ion

Qu

estio

n L

ev

el

An

aly

sis

an

d

Clo

sin

g o

f G

ap

s

ide

ntif

ied

in

Y10

Su

mm

er M

oc

k

Inte

rle

ave

d

Re

vis

ion

On

go

ing

Qu

estio

n

Le

ve

l A

na

lysis

an

d

Clo

sin

g o

f G

ap

s

ide

ntif

ied

.

Spring 1Solv ing Quadratics

Simultaneous Equations (Graph)Volume and Density

Spring 2Real-Life Graphs

Accurate Drawing (Constructions)

Autumn 1Angles in Parallel Lines

Fractions and PercentagesSectors

Autumn 2Accuracy and Bounds

Linear GraphsRight-Angled Triangles (Trigonometry)

Page 2: FOCUS: Fluency, Reasoning Mathematically and Problem Solvingfluencycontent2-schoolwebsite.netdna-ssl.com/File... · FOCUS: Fluency, Reasoning Mathematically and Problem Solving Mathematics

Statistics

Project

Autumn 1Negative NumbersFractions, Decimals and PercentagesApplications of Addition/Subtraction

Autumn 2Proportional ReasoningAngle PropertiesProperties of Number - Factors

Spring 1Place Value, Rounding and EstimationManipulating FractionsAlgebraic Notation

Spring 2Calculating with Fractions and PercentagesAlgebraic Manipulation

Summer 1AreaRatio and Proportion

Summer 2Solv ing Linear EquationsSequences

KS1 and KS2 (Expected)• Understanding of place value

and the number system• Fluency in written calculations

for all four operations• Working with fractions,

decimals, percentages and ratio to develop connections.

• Application of arithmetic to

geometrical problems.• Introduction to the language

of algebra to solve problems.

A-Level Maths

Economics Business

Summer 1Pythagoras’ Theorem

Coordinates and Linear Graphs (including Reflections)

Summer 2Rotations

ProbabilitySequences

Spring 1Venn Diagrams and Set Notation

Algebraic ManipulationArea and Surface Ares

Spring 2Percentages (Calc)

Forming and Solving Equations

Autumn 1Rounding and Estimation

Fractions, Decimals and PercentagesCalculating with Fractions

Autumn 2Interior and Exterior Angles

Expressions and FormulaePercentages (Non-Calc)

Autumn 1Calculating with FractionsAngles in Parallel LinesLaws of Indices

Autumn 2Standard FormPercentagesFunctions

Circumference and Arc Length

Spring 1Right-Angled Triangles (Trigonometry)Enlargement and Similarity

Spring 2Speed, Distance and TimeInequalities and Limits of AccuracyVolume and Density

Summer 1Linear GraphsQuadratic Graphs

Summer 2Manipulating QuadraticsColumn Vectors and TranslationSimultaneous Equations

Through varied and frequent practice

students will develop conceptual understanding, build

rapid recall and application of their

knowledge.

Computer Science

Autumn 1Graphing Inequalities

Functions

Algebraic Fractions

Autumn 2Non-Linear GraphsIterativ e Methods

Simultaneous

Equations (Graphing)

Spring 1Real-Life GraphsFurther Trigonometry

Spring 2Vector GeometryAccurate Drawing, Constructions and Loci

GCSE

Rev ision and Final Exam

Preparations

Summer Statistics

Collecting Data and Sampling

Representing and Interpreting Data

(including Stem and Leaf, Frequency

Polygons, Histograms, Box Plots and

Cumulative Frequency)

Calculating Key Statistics for Listed and

Tabulated Data.

Probability

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

Mat

hem

atic

s is

an

inte

rco

nn

ecte

d s

ub

ject

in w

hic

h s

tud

ents

nee

d t

o m

ove

flu

entl

y b

etw

een

dif

fere

nt

rep

rese

nta

tio

ns

of m

ath

emat

ical

idea

s. A

t G

HS

we

stri

ve to

dev

elo

p f

luen

cy, r

easo

nin

g an

d p

rob

lem

so

lvin

g in

ou

r st

ud

ents

to e

nab

le t

hem

to

ap

ply

thei

r u

nd

erst

and

ing

to in

crea

sin

gly

mo

re c

om

ple

x an

d c

on

text

ual

ised

pro

ble

ms.

A-Level Statistics

Core Maths

Students will continue to develop their application of

knowledge with increasingly more complex problems

over time, including using mathematical language to justify,

generaliseand reason.

Y8

Y7

Students will apply their mathematics in a variety of routine and non-routine problems

with increasing sophistication.

Students will develop their ability to break

down problems into a series of smaller steps and prioritise in multi-

step problems.

Y9

Students will target key gaps

in their knowledge and application.

Students will further enhance their mathematical

understanding with a heightened focus

on concepts in context in addition

to building their mathematical

reasoning skills.

Y10

Accountancy Finance

Apprenticeship

Y11

Inte

rle

ave

d

Re

vis

ion

Qu

estio

n L

ev

el

An

aly

sis

an

d

Clo

sin

g o

f G

ap

s

ide

ntif

ied

in

Y10

Su

mm

er M

oc

k

Inte

rle

ave

d

Re

vis

ion

On

go

ing

Qu

estio

n

Le

ve

l A

na

lysis

an

d

Clo

sin

g o

f G

ap

s

ide

ntif

ied

.

Spring 1Irrational Numbers

Direct and Inverse ProportionQuadratic Sequences

Spring 2Direct and Inverse Proportion

Similar Shapes and Solids

Autumn 1Circle Theorems

Solv ing QuadraticsTrigonometry

Autumn 2Upper and Lower Bounds

Parallel & Perpendicular Linear GraphsIndices

Page 3: FOCUS: Fluency, Reasoning Mathematically and Problem Solvingfluencycontent2-schoolwebsite.netdna-ssl.com/File... · FOCUS: Fluency, Reasoning Mathematically and Problem Solving Mathematics

Statistics

Project

Autumn 1Negative NumbersFractions, Decimals and PercentagesApplications of Addition/Subtraction

Autumn 2Proportional ReasoningAngle PropertiesProperties of Number - Factors

Spring 1Rounding and EstimationManipulating/Calculating with FractionsAlgebraic Notation

Spring 2Fractions/PercentagesAlgebraic ManipulationArea

Summer 1Ratio and ProportionPythagoras’ TheoremProbability

Summer 2Solv ing Linear EquationsSequences

KS1 and KS2 (Expected)• Understanding of place value

and the number system• Fluency in written calculations

for all four operations• Working with fractions,

decimals, percentages and ratio to develop connections.

• Application of arithmetic to

geometrical problems.• Introduction to the language

of algebra to solve problems.

A-Level Maths

Economics Business

Summer 1Right-Angled Triangles (Trigonometry)

Coordinates and Linear Graphs (including Reflections)

Summer 2Rotations

ProbabilitySequences

Spring 1Venn Diagrams and Set Notation

Algebraic Manipulation (Application)Area and Surface Ares

Spring 2Percentages (Calc)

Forming and Solving Equations

Autumn 1Rounding and Estimation

Fractions, Decimals and PercentagesCalculating with Fractions

Autumn 2Interior and Exterior Angles

Expressions and FormulaePercentages (Non-Calc)

Autumn 1Angles in Parallel LinesLaws of IndicesStandard Form

Autumn 2PercentagesFunctionsCircumference and Arc Length

Irrational Numbers

Spring 1Recurring DecimalsTrigonometry (Exact Values)Enlargement and Similarity

Spring 2Circle TheoremsInequalities and Limits of AccuracyVolume and Density

Summer 1Compound UnitsLinear GraphsQuadratic Graphs

Summer 2Manipulating QuadraticsColumn Vectors and TranslationSimultaneous Equations

Through varied and frequent practice

students will develop conceptual understanding, build

rapid recall and application of their

knowledge.

Computer Science

Autumn StatisticsCollection of Data

Processing, Representing and

Analysing DataSummarising Data

Scatter Graphs and Correlation

Autumn 1Non-Linear GraphsIterative MethodsReal-Life Graphs

Autumn 2Sine and CosineVector GeometryAlgebraic Proof

Spring 1Quadratic InequalitiesSimultaneous EquationsConstructions and Loci

Spring 2Congruence and SimilarityTransformation of Graphs

GCSE

Rev ision and Final Exam

Preparations

Autumn MathsIndices

Circle TheoremsFunctions

Solv ing QuadraticsUpper and Lower

BoundsPerpendicular Lines

Spring StatisticsTime Series Analysis

ProbabilityIndex Numbers

Probability Distributions

QualityAssurance

Spring MathsDirect and Inverse

ProportionRight-Angled

TrianglesVolume and

Surface AreaQuadratic

Sequences

Summer Statistics

GCSE Statistics

Exam

Preparations

Summer MathsSimilar Shapes and

SolidsGraphing

InequalitiesVector Geometry

Algebraic FractionsAccurate Drawing

and Bearings

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

FOCUS: Fluency, Reasoning Mathematically and Problem Solving

Mat

hem

atic

s is

an

inte

rco

nn

ecte

d s

ub

ject

in w

hic

h s

tud

ents

nee

d t

o m

ove

flu

entl

y b

etw

een

dif

fere

nt

rep

rese

nta

tio

ns

of m

ath

emat

ical

idea

s. A

t G

HS

we

stri

ve to

dev

elo

p f

luen

cy, r

easo

nin

g an

d p

rob

lem

so

lvin

g in

ou

r st

ud

ents

to e

nab

le t

hem

to

ap

ply

thei

r u

nd

erst

and

ing

to in

crea

sin

gly

mo

re c

om

ple

x an

d c

on

text

ual

ised

pro

ble

ms.

A-Level Statistics

Core Maths

Students will continue to develop their application of

knowledge with increasingly more complex problems

over time, including using mathematical language to justify,

generaliseand reason.

Y8

Y7

Students will apply their mathematics in a variety of routine and non-routine problems

with increasing sophistication.

Students will develop their ability to break

down problems into a series of smaller steps and prioritise in multi-

step problems.

Y9

Students will target key gaps

in their knowledge and application.

Students will further enhance their mathematical

understanding with a heightened focus

on concepts in context in addition

to building their mathematical

reasoning skills.

Y10

Accountancy Finance

Apprenticeship

Y11

Inte

rle

ave

d

Re

vis

ion

Qu

estio

n L

ev

el

An

aly

sis

an

d

Clo

sin

g o

f G

ap

s

ide

ntif

ied

in

Y10

Su

mm

er M

oc

k

Inte

rle

ave

d

Re

vis

ion

On

go

ing

Qu

estio

n L

ev

el

An

aly

sis

an

d

Clo

sin

g o

f G

ap

s

ide

ntif

ied

.