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5Fifth Class Standards
Top Mathematicians
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Data
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5.D.1.1
Representing and interpreting data
• collect, organise and represent data using pictograms, single and multiple bar charts and simple pie charts
• read and interpret pictograms, single and multiple bar charts, and pie charts
• compile and use simple data sets
• explore and calculate averages of simple data sets
• use data sets to solve problems -
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5.118Create Bar Graphs Using Tables5
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5.119Create Bar Graphs5
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5.120Create Double Bar Graphs Using Tables5
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5.121Create Pictographs5
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5.122Create Histograms5
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5.123Choose the Best Graph Type5
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5.124Interpret Bar Graphs5
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5.125Interpret Double Bar Graphs5
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5.126Interpret Pictographs20
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5.127Interpret Histograms5
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5.128Create Frequency Tables5
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5.129Calculate Mean10
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5.130Calculate Mode10
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5.131Calculate Median10
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5.132Calculate Mean, Median, Mode and Range10
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5.133Interpret Charts to Find Mean, Median, Mode, and Range5
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5.134Interpret Charts to Find Median5
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5.135Interpret Charts to Find Mean5
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5.136Interpret Charts to Find Mode5
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5.D.1.2
Chance
• identify and list all possible outcomes of simple random processes
• estimate the likelihood of occurrence of events
• construct and use frequency charts and tables -
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5.128Create Frequency Tables5
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5.137Combination and Permutation Notation10
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5.138Probability of Simple Events5
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5.139Probability Problems5
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5.140Making Predictions5
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5.141Prediction Problems5
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5.D.1.1
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Shape and Space
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5.SS.1.1
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
• 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
• use 2-D shapes and properties to solve problems -
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5.88Which Shape Is Described?5
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5.89Number of Sides in Polygons5
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5.90Which 2 Dimensional Shape Is Described?5
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5.91Regular and Irregular Polygons5
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5.92Types of Triangles5
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5.93Classify Quadrilateral Shapes5
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5.94Parts of a Circle5
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5.95Identify Planar and Solid Shapes5
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5.96Identify Simple and Complex Solid Shapes5
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5.97Count Edges5
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5.98Count Vertices5
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5.99Count Faces5
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5.100Count Edges, Vertices and Faces5
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5.101Symmetry5
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5.102Perimeter: Find the Missing Side Length5
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5.103Area and Perimeter5
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5.104Use Area and Perimeter to Determine the Cost15
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5.SS.1.2
3-D shapes
• identify and examine 3-D shapes and explore relationships, including tetrahedron (faces, edges and vertices)
• draw the nets of simple 3-D shapes and construct the shapes -
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5.95Identify Planar and Solid Shapes5
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5.96Identify Simple and Complex Solid Shapes5
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5.97Count Edges5
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5.98Count Vertices5
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5.99Count Faces5
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5.100Count Edges, Vertices and Faces5
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5.105Nets of 3-Dimensional Figures5
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5.SS.1.3
Lines and angles
• recognise, classify and describe angles and relate angles to shape and the environment
• recognise angles in terms of a rotation
• estimate, measure and construct angles in degrees
• explore the sum of the angles in a triangle -
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5.106Angles of 90, 180, 270 and 360 Degrees5
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5.107Identify Angles10
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5.108Acute, Right, Obtuse, and Straight Angles5
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5.SS.1.1
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Algebra
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5.OA.1.1
Directed numbers
• identify positive and negative numbers in context -
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5.72Integers: Understanding Integers5
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5.73Understanding Integers5
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5.OA.1.2
Rules and properties
• explore and discuss simple properties and rules about brackets and priority of operation
• identify relationships and record verbal and simple symbolic rules for number patterns -
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5.74Properties of Addition5
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5.75Choose Properties of Multiplication15
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5.76Factors of Multiplication5
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5.77Properties of Multiplication with Factors Up to 1215
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5.78Simplify Expressions15
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5.79Increasing Growth Patterns15
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5.80Geometric Growth Patterns15
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5.81Counting and Number Patterns: Skip-Counting Sequences20
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5.82Numeric Patterns15
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5.OA.1.3
Equations
• translate number sentences with a frame into word problems and vice versa
• solve one-step number sentences and equations -
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5.83Write Variable Expressions5
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5.84Write Variable Equations to Represent5
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5.85Write Variable Expressions5
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5.86Linear Function10
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5.87Solve for the Variable with Addition and Subtraction20
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5.OA.1.1
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Number
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5.NS.1.1
Place value
• read, write and order whole numbers and decimals
• identify place value in whole numbers and decimals
• round whole numbers and round decimals -
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5.1Compare Numbers Up to 1000000025
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5.2Counting and Number Patterns: Writing Numbers in Words15
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5.3Decimals with Models10
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5.4Understanding Decimals Expressed in Words10
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5.6Compare Decimal Numbers Up to 4 Places15
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5.7Compare Decimal Numbers Up to 2 Places15
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5.8Put Decimal Numbers in Order Up to 4 Places15
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5.10Convert Numbers with Tens, Hundreds, Thousands20
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5.11Identify Place Values in Decimal Numbers10
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5.12Rounding with Numbers Up to 500015
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5.13Rounding with Numbers Up to 100,00015
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5.14Round Decimals15
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5.NS.1.2
Operations
• estimate sums, differences, products and quotients of whole numbers
• add and subtract whole numbers and decimals (to three decimal places) without and with a calculator
• multiply a decimal (up to three places) by a whole number, without and with a calculator
• divide a three-digit number by a two-digit number, without and with a calculator
• divide a decimal number by a whole number, without and with a calculator -
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5.15Estimate Differences20
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5.16Estimate Sums with Numbers Up to 100,00020
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5.17Estimate Differences20
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5.18Estimate Sums20
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5.19Estimate Products Up to 100020
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5.20Estimate Quotients20
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5.21Estimate Quotients Up to 100020
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5.22Estimate Quotients Up to 10,00020
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5.23Add and Subtract Decimal Numbers Up to 3 Places20
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5.24Add and Subtract Decimals15
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5.25Add and Subtract Decimals Up to 1020
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5.26Add and Subtract Decimal Up to 10015
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5.27Choose Decimals with a Particular Sum or Difference20
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5.28Complete the Addition or Subtraction Sentence20
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5.29Multiply Decimals Up to 20 Times Factors of 1020
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5.30Multiply Decimals with Numbers Up to 1020
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5.31Multiply Decimals with Numbers Up to 100015
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5.32Multiply Decimals and Whole Numbers20
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5.33Multiply Money Amounts10
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5.34Division with Remainder with Divisor Up to 100015
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5.35Division with Divisors Up to 10015
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5.36Multiply and Divide Decimals by Powers of Ten15
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5.37Increasing Decimal Division Patterns5
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5.38Division with Decimals15
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5.39Division with Decimal Quotients15
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5.40Division with Decimal Quotients and Rounding15
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5.41Division with Decimal Quotients15
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5.NS.1.3
Fractions
• compare and order fractions and identify equivalent forms of fractions with denominators 2-12
• 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 whole number
• express tenths, hundredths and thousandths in both fractional and decimal form -
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5.3Decimals with Models10
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5.42Choose the Equivalent Fraction Up to Twentieths20
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5.43Choose the Equivalent Fraction15
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5.44Patterns of Equivalent Fractions20
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5.45Reduce to Lowest Terms20
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5.46Reducing Fractions to Lowest Terms15
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5.47Convert Between Improper Fractions and Mixed Numbers20
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5.48Put Fractions in Order Up to Twentieths15
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5.49Add Fractions with Unlike Denominators20
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5.50Subtract Fractions with Unlike Denominators20
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5.51Add and Subtract Fractions with Unlike Denominators15
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5.52Addition and Subtraction Equations with Fractions20
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5.53Add Mixed Numbers with Unlike Denominators10
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5.54Subtract Mixed Numbers with Unlike Denominators15
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5.55Add and Subtract Mixed Numbers15
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5.56Multiply Fractions by Whole Numbers20
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5.57Multiply Fractions by Whole Numbers20
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5.58Convert Fractions and Mixed Numbers to Decimals15
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5.59Convert Decimals to Fractions and Mixed Numbers15
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5.NS.1.4
Decimals and percentages
• develop an understanding of simple percentages and relate them to fractions and decimals
• compare and order fractions and decimals
• solve problems involving operations with whole numbers, fractions, decimals and simple percentages -
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5.6Compare Decimal Numbers Up to 4 Places15
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5.7Compare Decimal Numbers Up to 2 Places15
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5.8Put Decimal Numbers in Order Up to 4 Places15
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5.24Add and Subtract Decimals15
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5.25Add and Subtract Decimals Up to 1020
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5.26Add and Subtract Decimal Up to 10015
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5.32Multiply Decimals and Whole Numbers20
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5.33Multiply Money Amounts10
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5.41Division with Decimal Quotients15
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5.48Put Fractions in Order Up to Twentieths15
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5.49Add Fractions with Unlike Denominators20
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5.50Subtract Fractions with Unlike Denominators20
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5.51Add and Subtract Fractions with Unlike Denominators15
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5.55Add and Subtract Mixed Numbers15
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5.57Multiply Fractions by Whole Numbers20
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5.60What Percentage Is Illustrated?10
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5.61Convert Between Percents, Fractions and Decimals15
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5.62Fraction20
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5.63Add, Subtract Fractions with Like Denominators15
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5.64Subtract Fractions20
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5.65Add Fractions20
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5.66Mixed Decimal Equations20
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5.67Sale Prices15
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5.NS.1.5
Number theory
• identify simple prime and composite numbers
• identify square and rectangular numbers
• identify factors and multiples -
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5.68Prime and Composite Numbers10
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5.69Divisibility Rules with Numbers Up to 10,00020
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5.70Divisibility Rules with Dividend Up to 10,000,00020
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5.71Divisibility Rules20
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5.NS.1.1
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Measures
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5.M.1.1
Length
• select and use appropriate instruments of measurement
• estimate and measure length using appropriate metric units
• estimate and measure the perimeter of regular and irregular shapes. -
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5.109Which Metric Unit Is Appropriate?5
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5.110Compare and Convert Metric Units5
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5.111Perimeter with Unit Squares15
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5.102Perimeter: Find the Missing Side Length5
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5.103Area and Perimeter5
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5.104Use Area and Perimeter to Determine the Cost15
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5.M.1.2
Area
• discover that the area of a rectangle is length by breadth
• estimate and measure the area of regular and irregular 2-D shapes
• calculate area using square centimetres and square metres
• compare visually square metres and square centimetres. -
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5.111Perimeter with Unit Squares15
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5.112Area of Squares and Rectangles15
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5.113Area of Right Triangles10
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5.114Area of Complex Figures10
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5.103Area and Perimeter5
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5.104Use Area and Perimeter to Determine the Cost15
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5.M.1.3
Weight
• select and use appropriate instruments of measurement
• estimate and measure weight using appropriate metric units -
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5.109Which Metric Unit Is Appropriate?5
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5.110Compare and Convert Metric Units5
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5.M.1.4
Capacity
• select and use appropriate instruments of measurement
• estimate and measure capacity using appropriate metric units -
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5.109Which Metric Unit Is Appropriate?5
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5.110Compare and Convert Metric Units5
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5.M.1.5
Time
• read and interpret timetables and the 24-hour clock (digital and analogue)
• interpret and convert between times in 12-hour and 24-hour format -
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5.M.1.6
Money (use up to introduction of the euro)
• compare 'value for money' using unitary method -
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5.M.1.7
Money - euro
• compare 'value for money' using unitary method -
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5.115Price Lists20
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5.116Consumer Math: Price Lists15
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5.117Consumer Math: Unit Prices20
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5.M.1.1