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6Sixth Class Standards
Top Mathematicians
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Number
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6.NS.1.1
Place value
• read, write and order whole numbers and decimals
• identify place value in whole numbers and decimals
• round decimals -
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6.1Counting and Number Patterns: Writing Numbers in Words15
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6.2Decimals with Models10
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6.3Understanding Decimals Expressed in Words10
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6.4Put Decimal Numbers in Order Up to 4 Places15
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6.6Identify the Digit with a Particular Place Value20
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6.7Identify Place Values in Decimal Numbers10
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6.8Round Decimals15
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6.NS.1.2
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 -
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6.9Estimate Sums and Differences of Decimals15
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6.10Estimate Sums and Differences of Decimals Up to 10015
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6.11Multiply Decimals with Numbers Up to 10015
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6.12Multiply Decimals5
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6.13Subtraction with Numbers Up to 50000005
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6.14Numbers Up to 500000020
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6.15Add and Subtract Decimal Numbers Up to 3 Places20
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6.16Add and Subtract Decimals15
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6.17Add and Subtract Decimals Up to 1020
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6.18Add and Subtract Decimal Up to 10015
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6.19Multiply Decimals with Numbers Up to 1020
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6.20Multiply Decimals with Numbers Up to 100015
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6.21Multiply Decimals and Whole Numbers20
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6.22Multiply Decimals Using Grids10
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6.23Estimate Products of Decimal Numbers15
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6.24Inequalities with Decimal Multiplication20
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6.25Multiply Money Amounts10
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6.26Divide Decimals by Whole Numbers15
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6.27Divide Decimals by Whole Numbers15
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6.28Division with Decimals15
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6.29Division with Decimal Quotients15
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6.30Inequalities with Decimal Division15
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6.31Divide Money Amounts10
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6.NS.1.3
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 -
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6.32Make Equivalent Fractions20
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6.33Reduce to Lowest Terms20
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6.34Reducing Fractions to Lowest Terms15
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6.35Compare Fractions15
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6.36Inequalities with Similar Fractions Up to 1215
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6.37Compare Fractions15
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6.38Fractions Review5
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6.39Convert Between Improper Fractions and Mixed Numbers20
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6.40Convert Between Decimals and Fractions or Mixed Numbers10
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6.41Add and Subtract Fractions20
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6.42Add, Subtract Fractions with Like Denominators15
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6.43Subtract Fractions20
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6.44Add Fractions20
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6.45Subtract Fractions with Unlike Denominators5
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6.46Add Fractions with Unlike Denominators5
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6.47Add and Subtract Fractions with Unlike Denominators15
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6.48Add and Subtract Mixed Numbers15
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6.49Add and Subtract Mixed Numbers15
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6.50Estimate Sums and Differences of Mixed Numbers15
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6.51Multiply Fractions with Models15
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6.52Multiply Fractions15
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6.53Multiply Fractions by Whole Numbers15
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6.54Divide by Fractions with Models15
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6.55Reciprocals15
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6.56Divide Unit Fractions by Whole Numbers Up to 20 I15
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6.57Divide Whole Numbers by Unit Fractions15
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6.58Describe Pictures as Ratios5
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6.59Ratios5
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6.60Equivalent Ratios5
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6.61Equivalent Ratios5
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6.62Ratio Tables5
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6.NS.1.4
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. -
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6.63What Percentage Is Illustrated?10
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6.64Convert Between Percents, Fractions and Decimals15
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6.65Percents of Numbers and Money Amounts5
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6.66Percents of Numbers5
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6.67Constant of Variation15
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6.68Compare Percents to Fractions and Decimals15
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6.69Compare Ratios5
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6.70Sale Prices15
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6.71Unit Prices: Which Is the Better Buy?20
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6.72Which Is the Better Coupon?5
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6.73Simple Interest15
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6.NS.1.5
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 -
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6.74Prime and Composite Numbers10
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6.75Square Roots of Perfect Squares5
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6.76Identify Factors20
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6.NS.1.1
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Data
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6.D.1.1
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. -
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6.135Create Pictographs5
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6.136Create Line Plots5
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6.137Create Line Plots II5
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6.138Create Bar Graphs Using Tables5
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6.139Create Bar Graphs5
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6.140Create Double Bar Graphs Using Tables5
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6.141Create Histograms5
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6.142Create Line Graphs5
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6.143Create Double Line Graphs Using Tables5
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6.144Choose the Best Graph Type5
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6.145Interpret Pictographs20
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6.146Stem-And-Leaf Plots5
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6.147Interpret Histograms5
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6.148Convert Graphs to Input/Output Tables5
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6.149Calculate Mean10
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6.150Calculate Range10
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6.151Calculate Mode10
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6.152Calculate Median10
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6.153Calculate Mean, Median, Mode and Range10
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6.154Interpret Charts to Find Mode5
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6.155Interpret Charts to Find Mean, Median, Mode, and Range5
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6.156Interpret Charts to Find Median5
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6.157Interpret Charts to Find Range5
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6.158Interpret Charts to Find Mean5
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6.159Mean, Median, Mode, and Range: Find the Missing Number10
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6.160Mode: Find the Missing Number10
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6.161Median: Find the Missing Number10
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6.162Mean: Find the Missing Number10
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6.163Range: Find the Missing Number10
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6.112Interpret Double Bar Graphs5
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6.113Interpret Double Line Graphs5
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6.114Interpret Bar Graphs5
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6.115Interpret Line Graphs5
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6.D.1.2
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 -
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6.164Combination and Permutation Notation10
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6.165Compound Events: Find the Number of Outcomes5
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6.166Probability of Simple Events5
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6.167Making Predictions5
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6.168Prediction Problems5
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6.169Create Frequency Tables5
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6.D.1.1
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Algebra
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6.OA.1.1
Directed numbers
• identify positive and negative numbers on the number line
• add simple positive and negative numbers on the number line -
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6.77Integers: Understanding Integers5
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6.78Understanding Integers5
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6.80Put Rational Numbers in Order15
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6.OA.1.2
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 -
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6.81Write Variable Expressions5
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6.82Properties of Addition5
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6.83Choose Properties of Multiplication15
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6.84Factors of Multiplication5
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6.85Properties of Multiplication with Factors Up to 1215
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6.86Function Tables15
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6.87Write Linear Functions10
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6.88Graph Linear Functions15
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6.89Write Variable Equations to Represent5
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6.90Write Variable Expressions5
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6.91Linear Function10
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6.92Evaluate Variable Expressions with Whole Numbers5
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6.93Evaluate Multi-Variable Expressions15
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6.94Evaluate Variable Expressions with Decimals and Fractions5
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6.95Model and Solve Equations Using Algebra Tiles5
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6.97Multi-Step20
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6.98Linear Function5
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6.99Two-Variable Equations5
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6.62Ratio Tables5
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6.OA.1.3
Variables
• explore the concept of a variable in the context of simple patterns, tables and simple formulae and substitute values for variables -
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6.81Write Variable Expressions5
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6.88Graph Linear Functions15
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6.92Evaluate Variable Expressions with Whole Numbers5
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6.93Evaluate Multi-Variable Expressions15
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6.94Evaluate Variable Expressions with Decimals and Fractions5
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6.95Model and Solve Equations Using Algebra Tiles5
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6.97Multi-Step20
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6.OA.1.4
Equations
• translate word problems with a variable into number sentences
• solve one-step number sentences and equations -
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6.89Write Variable Equations to Represent5
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6.90Write Variable Expressions5
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6.91Linear Function10
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6.92Evaluate Variable Expressions with Whole Numbers5
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6.97Multi-Step20
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6.100Solve One-Step Equations with Decimals and Fractions5
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6.OA.1.1
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Shape and Space
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6.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
• 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. -
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6.101Regular and Irregular Polygons5
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6.102Types of Triangles5
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6.103Classify Quadrilateral Shapes5
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6.104Parts of a Circle5
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6.105Symmetry5
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6.106Coordinate Graphs Review10
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6.107Graph Points on a Coordinate Plane15
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6.108Coordinate Graphs with Decimals and Negative Numbers15
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6.109Coordinate Graphs Review with Whole Numbers10
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6.110Coordinate Graphs as Maps5
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6.111Relative Coordinates15
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6.112Interpret Double Bar Graphs5
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6.113Interpret Double Line Graphs5
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6.114Interpret Bar Graphs5
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6.115Interpret Line Graphs5
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6.116Find Missing Angles in Triangles and Quadrilaterals5
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6.117Interior Angles of Polygons5
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6.SS.1.2
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. -
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6.101Regular and Irregular Polygons5
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6.118Which Shape Is Described?5
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6.119Nets of 3-Dimensional Figures5
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6.SS.1.3
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
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6.SS.1.1
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Measures
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6.M.1.1
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 -
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6.124Metric Unit Conversions Involving Fractions and Mixed5
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6.125Compare and Convert Metric Units5
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6.126Convert Mixed Metric Units5
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6.127Perimeter with Unit Squares15
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6.128Area and Perimeter5
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6.129Relationship Between Area and Perimeter15
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6.130Compare Area and Perimeter of Two Figures15
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6.131Scale Drawings and Scale Factors15
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6.M.1.2
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 -
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6.127Perimeter with Unit Squares15
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6.128Area and Perimeter5
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6.129Relationship Between Area and Perimeter15
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6.132Area of Squares and Rectangles15
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6.133Area of Right Triangles10
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6.134Area of Complex Figures10
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6.119Nets of 3-Dimensional Figures5
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6.M.1.3
Weight
• select and use appropriate instruments of measurement
• rename measures of weight -
6.M.1.4
Capacity
• select and use appropriate instruments of measurement
• rename measures of capacity
• find the volume of a cuboid experimentally -
6.M.1.5
Time
• explore international time zones
• explore the relationship between time, distance and average speed -
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6.M.1.6
Money (use up to introduction of the euro)
• explore value for money
• convert foreign currencies to Irish pounds and vice versa -
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6.M.1.7
Money - euro
• explore value for money
• convert other currencies to euro and vice versa -
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6.70Sale Prices15
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6.71Unit Prices: Which Is the Better Buy?20
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6.72Which Is the Better Coupon?5
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6.M.1.1