2-D shapes • make informal 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 • identify the properties of the circle • construct a circle of given radius or diameter • tessellate combinations of 2-D shapes • classify 2-D shapes according to their lines of symmetry • plot simple co-ordinates and apply where appropriate • use 2-D shapes and properties to solve problems.
Regular and Irregular Polygons
Types of Triangles
Classify Quadrilateral Shapes
Parts of a Circle
Symmetry
Coordinate Graphs Review
Graph Points on a Coordinate Plane
Coordinate Graphs with Decimals and Negative Numbers
Coordinate Graphs Review with Whole Numbers
Coordinate Graphs as Maps
Relative Coordinates
Interpret Double Bar Graphs
Interpret Double Line Graphs
Interpret Bar Graphs
Interpret Line Graphs
Find Missing Angles in Triangles and Quadrilaterals
Interior Angles of Polygons
3-D shapes • identify and examine 3-D shapes and explore relationships, including octahedron (faces, edges and vertices) • draw the nets of simple 3-D shapes and construct the shapes.
Lines and angles • recognise, classify and describe angles and relate angles to shape • recognise angles in terms of a rotation • estimate, measure and construct angles in degrees • explore the sum of the angles in a quadrilateral
Representing and interpreting data • collect, organise and represent data using pie charts and trend graphs • read and interpret trend graphs and pie charts • compile and use simple data sets • explore and calculate averages of simple data sets • use data sets to solve problems.
Create Pictographs
Create Line Plots
Create Line Plots II
Create Bar Graphs Using Tables
Create Bar Graphs
Create Double Bar Graphs Using Tables
Create Histograms
Create Line Graphs
Create Double Line Graphs Using Tables
Choose the Best Graph Type
Interpret Pictographs
Stem-And-Leaf Plots
Interpret Histograms
Convert Graphs to Input/Output Tables
Calculate Mean
Calculate Range
Calculate Mode
Calculate Median
Calculate Mean, Median, Mode and Range
Interpret Charts to Find Mode
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Median
Interpret Charts to Find Range
Interpret Charts to Find Mean
Mean, Median, Mode, and Range: Find the Missing Number
Mode: Find the Missing Number
Median: Find the Missing Number
Mean: Find the Missing Number
Range: Find the Missing Number
Chance • identify and list all possible outcomes of simple random processes • estimate the likelihood of occurrence of events; order on a scale from 0 to 100%, 0 to 1 • construct and use frequency charts and tables
Place value • read, write and order whole numbers and decimals • identify place value in whole numbers and decimals • round decimals
Operations • estimate sums, differences, products and quotients of decimals • add and subtract whole numbers and decimals (to three decimal places) without and with a calculator • multiply a decimal by a decimal, without and with a calculator • divide a four-digit number by a two-digit number, without and with a calculator • divide a decimal number by a decimal, without and with a calculator
Estimate Sums and Differences of Decimals
Estimate Sums and Differences of Decimals Up to 100
Multiply Decimals with Numbers Up to 100
Multiply Decimals
Subtraction with Numbers Up to 5000000
Numbers Up to 5000000
Add and Subtract Decimal Numbers Up to 3 Places
Add and Subtract Decimals
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Multiply Decimals with Numbers Up to 10
Multiply Decimals with Numbers Up to 1000
Multiply Decimals and Whole Numbers
Multiply Decimals Using Grids
Estimate Products of Decimal Numbers
Inequalities with Decimal Multiplication
Multiply Money Amounts
Divide Decimals by Whole Numbers
Divide Decimals by Whole Numbers
Division with Decimals
Division with Decimal Quotients
Inequalities with Decimal Division
Divide Money Amounts
Fractions • compare and order fractions and identify equivalent 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 both fractional and decimal form • divide a whole number by a unit fraction • understand and use simple ratios
Make Equivalent Fractions
Reduce to Lowest Terms
Reducing Fractions to Lowest Terms
Compare Fractions
Inequalities with Similar Fractions Up to 12
Compare Fractions
Fractions Review
Convert Between Improper Fractions and Mixed Numbers
Convert Between Decimals and Fractions or Mixed Numbers
Add and Subtract Fractions
Add, Subtract Fractions with Like Denominators
Subtract Fractions
Add Fractions
Subtract Fractions with Unlike Denominators
Add Fractions with Unlike Denominators
Add and Subtract Fractions with Unlike Denominators
Add and Subtract Mixed Numbers
Add and Subtract Mixed Numbers
Estimate Sums and Differences of Mixed Numbers
Multiply Fractions with Models
Multiply Fractions
Multiply Fractions by Whole Numbers
Divide by Fractions with Models
Reciprocals
Divide Unit Fractions by Whole Numbers Up to 20 I
Divide Whole Numbers by Unit Fractions
Describe Pictures as Ratios
Ratios
Equivalent Ratios
Equivalent Ratios
Ratio Tables
Decimals and percentages • use percentages and relate them to fractions and decimals • compare and order percentages of numbers • solve problems relating to profit and loss, discount, VAT, interest, increases, decreases.
What Percentage Is Illustrated?
Convert Between Percents, Fractions and Decimals
Percents of Numbers and Money Amounts
Percents of Numbers
Constant of Variation
Compare Percents to Fractions and Decimals
Compare Ratios
Sale Prices
Unit Prices: Which Is the Better Buy?
Which Is the Better Coupon?
Simple Interest
Number theory • identify simple prime and composite numbers • identify and explore square numbers • explore and identify simple square roots • identify common factors and multiples • write whole numbers in exponential form
Length • 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
Metric Unit Conversions Involving Fractions and Mixed
Compare and Convert Metric Units
Convert Mixed Metric Units
Perimeter with Unit Squares
Area and Perimeter
Relationship Between Area and Perimeter
Compare Area and Perimeter of Two Figures
Scale Drawings and Scale Factors
Area • recognise that the length of the perimeter of a rectangular shape does not determine the area of the shape • calculate the area of regular and irregular 2-D shapes • measure the surface area of specified 3-D shapes • calculate area using acres and hectares • identify the relationship between square metres and square centimetres • find the area of a room from a scale plan
Weight • select and use appropriate instruments of measurement • rename measures of weight
Capacity • select and use appropriate instruments of measurement • rename measures of capacity • find the volume of a cuboid experimentally
Time • explore international time zones • explore the relationship between time, distance and average speed
Money (use up to introduction of the euro) • explore value for money • convert foreign currencies to Irish pounds and vice versa
Money - euro • explore value for money • convert other currencies to euro and vice versa
Directed numbers • identify positive and negative numbers on the number line • add simple positive and negative numbers on the number line
Rules and properties • know simple properties and rules about brackets and priority of operation • identify relationships and record symbolic rules for number patterns • explore the concept of a variable in the context of simple patterns, tables and simple formulae and substitute values for variables
Write Variable Expressions
Properties of Addition
Choose Properties of Multiplication
Factors of Multiplication
Properties of Multiplication with Factors Up to 12
Function Tables
Write Linear Functions
Graph Linear Functions
Write Variable Equations to Represent
Write Variable Expressions
Linear Function
Evaluate Variable Expressions with Whole Numbers
Evaluate Multi-Variable Expressions
Evaluate Variable Expressions with Decimals and Fractions
Model and Solve Equations Using Algebra Tiles
Multi-Step
Linear Function
Two-Variable Equations
Variables • explore the concept of a variable in the context of simple patterns, tables and simple formulae and substitute values for variables
Equations • translate word problems with a variable into number sentences • solve one-step number sentences and equations