Long-Term Plan - Muinteoir Valerie

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Long-Term Plan
 Subject: Maths
 Aims
General or overall aims
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to develop a positive attitude towards mathematics and an appreciation of both its practical and its aesthetic
aspects
to develop problem-solving abilities and a facility for the application of mathematics to everyday life
to enable the child to use mathematical language effectively and accurately
to enable the child to acquire an understanding of mathematical concepts and processes to his/her appropriate
level of development and ability
to enable the child to acquire proficiency in fundamental mathematical skills and in recalling basic number facts
 Content
(a) Strands and strand units
Number
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Place value
Operations
Fractions
Decimals and percentages
Number theory
Algebra
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Directed numbers
Rules and properties
Variables
Equations
Shape and space
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2-D shapes
3-D shapes
Lines and angles
Measures
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Length
Area
Weight
Capacity
Time
Money
Data
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Representing and interpreting data
Chance
(b) An overview of the content objectives to be taught and/or examples of learning activities
September
Focus Objectives
Look Back- Revision
Big Numbers- Place value
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Revise and review material covered in 5th class
Read, write and order whole numbers
Identify place value in whole numbers
Round whole numbers
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Operations- Addition and Subtraction
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Data-Representing and interpreting data
Add and subtract whole numbers, without and
with a calculator.
Apply to word problems
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collect, organise and represent data using trend
graphs
read and interpret trend graphs
compile and use simple data sets
explore and calculate averages of data sets
October
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Focus Objectives
Multiplication- Operations
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Multiply a decimal by a whole number, without
and with a calculator
Apply to problems
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Lines and Angles
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Division 1
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Fractions 1
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Mental strategies
November
Fractions 2
Recognize, classify and describe angles and
relate angles to shape
Recognize angles in terms of a rotation
Measure and construct angles in degrees
Divide a four-digit number by a two-digit
number, without and with a calculator.
Divide a decimal by a whole number
Apply to problems
Compare and order fractions and identify
equivalent fractions and forms of fractions
Express improper fractions as mixed numbers
and vice versa and position them on the number
line
Add and subtract simple fractions and simple
mixed numbers
Multiply a fraction by a fraction
Express tenths, hundredths and thousandths in
fractional form.
Addition, subtraction, estimation
Focus Objectives
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2
Divide a whole number by a unit fraction
Understand and use simple ratios
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2-D shapes
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Make deductions about 2-d shapes and their
properties
Use angle and line properties to classify and
describe triangles and quadrilaterals
Construct triangles from given sides or angles
Tessellate combinations of 2-D shapes
Classify 2-D shapes according to their lines of
symmetry
Plot simple co-ordinates and apple where
appropriate
Use 2-D shapes and properties to solve
problems.
Decimals
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Identify place value in decimals
Round decimals
Relate decimals to fractions
Estimate sums and differences of decimals
Add and subtract decimals to three places.
Puzzles
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Problem- Solving
December
Number theory
Focus Objectives
Look back
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Identify simple and composite numbers
Identify and explore square numbers
Explore and identify simple square roots
Identify common factors and multiples
Write whole numbers in exponential
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Review place value, operations, data
Review place value, money, length, weight,
angles
Review angles, fractions, decimals, operations
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January
Multiplication 2
Focus Objectives
Length
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Multiply a decimal by a decimal, without and
with a calculator
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Select and use appropriate instruments of
measurement
Rename measures of length
Estimate and measure the perimeter of regular
and irregular shapes
Use and interpret scales on maps and plans.
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Division 2
February
Divide a decimal by a decimal without and with
a calculator.
Focus Objectives
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Fractions, decimals and percentages 1
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Time
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Mental strategies 2
March
Fractions, decimals and percentages 2/3
Use percentages and relate them to fractions and
decimals.
Compare and order percentages of numbers
Explore the relationship between time, distance
and average speed
Explore international time zones
Mental strategies: Multiplication, division, place
value.
Focus Objectives
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Area
Use percentages and relate them to fractions and
decimals
Compare and order percentages of numbers.
Solve problems involving percentages. Profit
and loss.
Solve problems involving discount, increases
and decreases.
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Explore relationship between area and perimeter
Calculate area of regular and irregular shapes
Measure surface area of 3-D shapes
Calculate area using ares and hectares
Identify relationship between square metres and
square centimetres.
Find area using a scale plan
Problem-solving 3
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Problem-solving using R.U.D.E and group tasks
Directed Numbers
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Identify positive and negative numbers on the
number line, add simple positive and negative
numbers on the number line.
April
Money
Focus Objectives
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Explore value for money
Convert currencies to euro and vice versa
Solve problems relating to VAT and interest
The circle
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Identify the properties of the circle
Construct a circle of given radius or diameter
Calculate the area of a circle by counting squares
Rules and properties
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Know simple properties and rules about brackets
and priority of operations
Identify relationships and record symbolic rules
for number patterns
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Revision of material covered in Term 2
Term assessment
Variables
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Explore the concept of a variable in the context
of simple patterns, tables and simple formulae
and substitute values for variables
3-d shapes
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Identify and examine 3-D shapes and explore
relationships
Draw nets of simple 3-D shapes and construct
the shapes
May
Look Back 2
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Capacity
4
select and use appropriate instruments of
measurement
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rename measures of capacity
find the volume of a cuboid
Standardised testing
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use of Sigma-T test to test pupils
June
Chance
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identify and list all possible outcomes of simple
random processes
estimate the likelihood of occurrence of events
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construct and use frequency charts and tables
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collect, organise and represent data using pie
charts and trend graphs
read, interpret trend graphs and pie charts
compile and use data sets
explore and calculate averages of simple data
sets
use data sets to solve problems
Data 2
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Equations
Look Back 3
Use of relevant maths websites
Problem solving every Fri when possible
Maths games-ICT
Maths stations every Friday
Tables games
(c) Skills and concepts to be developed
Applying and problem-solving
Communicating and expressing
Integrating and connecting
Reasoning
Implementing
Understanding and recalling
 Approaches and Methodologies
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Review of material covered during the year
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The children will complete tasks from workbook
daily.
Mental strategies discussed and used to solve
these problems
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Class based tests
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Translate word problems with a variable into
number sentences
Solve one-step number sentences and equations
Use of concrete materials
5
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Modelling: Skills, strategies and language
Oral approach to mental maths
Estimation strategies
Use of calculators
Active learning
Guided discovery
Talk and discussion
Problem solving
Using the environment
Skills through content
Use of ICT
Direct teaching
 Linkage and Integration
 Differentiation
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Learning process
(a) Variety of level and sequence
Learning content
(a) Teaching style
(b) Task
(c) Pace
(d) Interest
(e) Choice
(f) Support
(g) Resource
Learning outcome
(a) Allow for different methods of response
 Assessment
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Assessment for learning
Assessment of learning
(a) Self assessment
(b) Conferencing
(c) Portfolio assessment
(d) Concept mapping
(e) Questioning
(f) Teacher observation
(g) Teacher designed tasks and tests
(h) Wilf and Walt
 Resources
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Planet maths
Figure it Out 6
Teacher textbooks and resources
6
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