Fractions, Decimals and Percentages

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#### Level contents

- * Assessment for the whole of Level 6
- ** Assessment test answers
- *** Assessment test records
- 6:00 Concept Dictionary - Fractions, Decim...
- Teaching points extracted from worksheets showing the development of concepts from Fractions, Decimals and Percentages from Year 0 to Year 6
- 6:01 Fractions, decimals & percentages
- Recognising equivalent fractions, decimals and percentages. Ordering fractions, decimals and percentages. Converting from fractions to percentages to decimals and vice-versa.
- 6:01C Fractions and percentages
- Equivalent fractions and percentages and their diagrammatic representation.
- 6:01E Fractions, decimals and percentages
- Equivalent fractions, decimals and percentages. Converting fractions to decimals to percentages and vice-versa.
- 6:02 Fractions of a collection
- Finding fractions of a collection of objects. Different ways of writing fraction number sentences. Units of measurement.
- 6:02E Fractions of a collection
- Strategies for finding fractions of amounts of time, number of degrees, and capacity.
- 6:03 Fractions and mixed numbers
- Creating improper fractions and converting from improper fractions to mixed numbers. Number sentences with improper fractions and mixed numbers. Ordering improper fractions in relation to mixed numbers. Diagrammatic representations of mixed numbers and fractions.
- 6:03E Fractions and mixed numbers
- Writing number sentences with improper fractions and mixed numbers from diagrammatic representations. Ordering improper fractions and mixed numbers on a number line. Converting from mixed numbers to improper fractions and vice-versa.
- 6:04 Mixed numbers and improper fractions
- Converting from mixed numbers to improper fractions and vice-versa. Completing number sentences resulting in mixed numbers. Ordering mixed numbers in relation to improper fractions on a number line.
- 6:04PT Progress test
- Test of Fractions, decimals and percentages
- 6:05 Thousandths
- Using numeral expanders to demonstrate place value in decimals and converting from mixed numbers and fractions to decimals.
- 6:05C Thousandths
- Working with decimals: counting on by thousandths, translating words into numerals, completing greater than/ less than number sentences, ordering groups of decimals with three decimal places, counting on on a number line.
- 6:05E Thousandths
- Writing thousandths in expanded notation, counting on with thousandths, greater than/ less than, positioning decimal numbers on a number line, rounding thousandths to a whole number and to one decimal place.
- 6:06 Addition and subtraction of fractions
- Using a number line to assist with addition and subtraction of fractions. Fractions with same denominators. Converting improper fractions to mixed numbers.
- 6:07 Place value
- Exploring decimals to three decimal places using expanded notation and place value tables. Counting on.
- 6:08 Thousandths
- Exploring decimals to three decimal places by counting on, exploring place value, using greater than/ less than, ordering groups of decimal numbers, positioning decimals on a number line, rounding thousandths to a whole number.
- 6:09 Multiplying fractions by a whole numb...
- Strategies for multiplying fractions by a whole number, including repeated addition and multiplying the numerator by the whole number, then converting improper fractions to mixed numbers. Practice algorithms.
- 6:09C Multiplying fractions by whole number...
- Practice algorithms for multiplying fractions by whole numbers, using repeated addition and multiplication of the numerator by the whole number, and conversion from improper fraction to mixed number. Includes word number sentences.
- 6:10 Calculating equivalent fractions
- Strategies for calculating equivalent fractions by multiplying the numerator and the denominator by the same number.
- 6:10C Equivalent fractions
- Strategies for creating equivalent fractions, including shading fractions of a shape, using parallel number lines, and multiplying the numerator and the denominator by the same number.
- 6:11 Simplifying fractions
- Strategies for simplifying fractions by dividing the numerator and denominator by the same number (reducing fractions).
- 6:11C Equivalent fractions
- Strategies for simplifying fractions to find equivalent fractions, including shading fractions of shapes, using parallel number lines, and dividing the numerator and the denominator by the same number.
- 6:12 Finding percentages
- Practice exercises for finding percentages from fractions and vice-versa, including shaded fractions of a shape and shaded fractions of a collection.
- 6:13 Converting percentages
- Practice exercises for converting fractions to percentages and vice-versa, including tables with fractions and percentages and decimals, simplifying fractions, and fractions as shaded parts of a shape or fractions of a collection.
- 6:14 Percentage of quantities
- Strategies for finding percentages of quantities including changing the percentage to a fraction and completing a multiplication of a fraction by a whole number. Exercises using positioning on a number line, greater than/ less than and money units.
- 6:14C Percentage of quantities
- Practice exercises for finding percentages of quantities, including converting percentages to fractions, multiplying fractions by whole numbers, and a word problem.
- 6:15 Calculating percentages
- Word problems involving calculating percentages of quantities, including converting fractions to percentages, creating equivalent fractions, finding average percentages, and using the percent button on the calculator.
- 6:16 Remainders as fractions
- Division exercises involving writing remainders as fractions, using the rule of the remainder being placed over the divisor. Includes word problems.
- 6:17 Remainders as decimals
- Division exercises involving writing the remainder as a decimal, using the rule of placing a decimal point after the dividend and continuing to divide. Includes writing answers correct to two decimal places and division with money units.
- 6:17PT Progress test
- Test of Fractions, decimals and percentages
- 6:18 Equivalent fractions
- Practice exercises for finding equivalent fractions and simplifying fractions. Includes writing equations.
- 6:18E Equivalent fractions
- Writing equivalent fractions, simplifying fractions and writing equivalent fractions of your own.
- 6:19 Adding fractions: different denominat...
- Adding fractions with different denominators using equivalent fractions and mixed numbers.
- 6:19C Adding fractions: different denominat...
- Adding fractions using different denominators, equivalent fractions and mixed numbers.
- 6:20 Subtracting fractions: different deno...
- Subtracting fractions with different denominators using equivalent fractions.
- 6:20C Subtracting fractions: different deno...
- Subtracting fractions with different denominators using equivalent fractions.
- 6:21 Sales and discounts
- Purchasing products using discounts and various ways of paying.
- 6:21C Discounts and percentages
- Purchasing products using discounts and various ways of paying. Finding percenatages of an amount.
- 6:22 Dividing 4-digit numbers
- Dividing four digit numbers involving decimals and decimal currency.
- 6:23 Numbers with three decimal places
- Numbers with three decimal places, ordering them and rounding them to one, two and three decimal places.
- 6:23PT Progress test
- Test of Fractions, decimals and percentages
- 6:24 Operations with fractions
- Operations involving fractions and their use in recipes.
- 6:24C Adding and subtracting fractions: dif...
- Addition and subtraction of fractions using equivalent fractions and mixed number answer.
- 6:25 Mixed operations
- Estimating fractions of a whole. Other mixed exercises involving negative numbers, multiples and codes.
- 6:25PT Progress test
- Test of Fractions, decimals and percentages
- 6:AC New Maths Builder Texts
- Placeholder
- 6:ACC Year 6 Cover
- Placeholder
- 6:NA00C Contents: Year 6 Maths Builder text
- Contents
- 6:NA00D Answers: 6:NA01-6:NA54C
- The answers to the Year 6 Maths Builder text 6:NA01-6:NA54C
- 6:NA00E Answers: 6:NA55-6:NA93
- The answers to the Year 6 Maths Builder text 6:NA55-6:NA93
- 6:NA09 Percentages
- Write fractions and decimals as percentages. Write percentages for the hundredth grids. Colour the percentages in the hundredth grids. Order percentages smallest to largest.
- 6:NA09C Percentages
- Extension page. Use tables to complete percentages. Colour the rulers to show percentages. Identify the given fraction of a group or amount.
- 6:NA10 Percentages
- Show one quarter is the same as 25%. Show one tenth is the same as 10%. Show three quarters is the same as 75%. Write tenths as percentages. Write common percentages as fractions or decimals.
- 6:NA10C Percentages
- Writing fractions as decimals and as percentages and vice-versa, ordering percentages, identifying fractions, decimals and percentages from coloured parts of a whole, ordering fractions, decimals and percentages on a chance-word number line.
- 6:NA10S Fractions, decimals and percentages
- Show eight tenths is the same as 80%. Write tenths as percentages. Write common percentages as fractions or decimals.
- 6:NA11 Percentages
- Write fraction, decimal and percentage coloured. Colour the percentage given. Complete the tables to show fractions, decimals and percentages that are equal.
- 6:NA11C Percentages
- Colour given percentages. Interpret the survey results and find the percentages of given answers. Complete the table and convert given fractions to decimals. Use data estimates to colour the diagram and change the fraction estimates to percentages.
- 6:NA12 Fractions, decimals & percentages
- Recognising equivalent fractions, decimals and percentages. Ordering fractions, decimals and percentages. Converting from fractions to percentages to decimals and vice-versa.
- 6:NA12C Fractions and percentages
- Equivalent fractions and percentages and their diagrammatic representation.
- 6:NA12S Fractions, decimals and percentages
- Equivalent fractions, decimals and percentages. Converting fractions to decimals to percentages and vice-versa.
- 6:NA13 Converting percentages
- Practice exercises for converting fractions to percentages and vice-versa, including tables with fractions and percentages and decimals, simplifying fractions, and fractions as shaded parts of a shape or fractions of a collection.
- 6:NA13C Finding percentages
- Practice exercises for finding percentages from fractions and vice-versa, including shaded fractions of a shape and shaded fractions of a collection.
- 6:NA14 Representing decimals
- Recognising equivalent fractions, decimals and percentages. Ordering fractions, decimals and percentages. Converting from fractions to percentages to decimals and vice-versa.
- 6:NA14C Fractions, decimals and percentages
- Extension page. Write each fraction as a percentage and as a decimal. Use the table to write the percentage and decimal.
- 6:NA22 Decimal addition and subtraction
- Addition and subtraction of decimals. Practise keeping points under points.
- 6:NA23 Decimal addition and subtraction
- Addition and subtraction of decimals. Practise keeping points under points. The PUP rule
- 6:NA24 Thousandths
- Using numeral expanders to demonstrate place value in decimals and converting from mixed numbers and fractions to decimals.
- 6:NA24C Thousandths
- Working with decimals: counting on by thousandths, translating words into numerals, completing greater than/ less than number sentences, ordering groups of decimals with three decimal places, counting on on a number line.
- 6:NA25 Place value
- Exploring decimals to three decimal places using expanded notation and place value tables. Counting on.
- 6:NA26 Thousandths
- Exploring decimals to three decimal places by counting on, exploring place value, using greater than/ less than, ordering groups of decimal numbers, positioning decimals on a number line, rounding thousandths to a whole number.
- 6:NA26C Thousandths
- Writing thousandths in expanded notation, counting on with thousandths, greater than/ less than, positioning decimal numbers on a number line, rounding thousandths to a whole number and to one decimal place.
- 6:NA27 Addition of decimals
- Addition of decimals. Practise keeping points under points. The PUP rule
- 6:NA28 Subtraction of decimals
- Subtraction of decimals Practise keeping points under points. The PUP rule
- 6:NA29 Decimal addition and subtraction
- Addition and subtraction of decimals. Placing zeros at the end of a decimal number does not change its size.
- 6:NA29C Numbers with three decimal places
- Numbers with three decimal places, ordering them and rounding them to one, two and three decimal places.
- 6:NA30 Estimating decimal calculations
- Round decimals to nearest whole number.
- 6:NA31 Using fractions and decimals
- Use number lines, diagrams or fraction walls to solve problems involving fractions and decimals.
- 6:NA31C Related fractions on the number line
- Comparing related fractions on the number line.
- 6:NA38 Multiplying decimals
- Place the same number of figures after the decimal in the answer as are after decimals in the question.
- 6:NA39 Multiplying decimals
- Place the same number of figures after the decimal in the answer as are after decimals in the question.
- 6:NA41 Division of decimals
- Division of decimals
- 6:NA42 Division of decimals
- Division of decimals
- 6:NA42C Equivalent division calculations
- Equivalent division calculations
- 6:NA48 A decimal times a power of 10
- The decimal point moving to the right.
- 6:NA48C
- A calculator is used to multiply and divide decimals by 10, 100 and 1000 in order to establish the rules. Practice is given applying these rules. The rules are: When multiplying by 10, 100 or 1000 move the decimal point to the right 1, 2 or 3 places. When dividing by 10, 100 or 1000 move the decimal point to the left 1, 2 or 3 places.
- 6:NA49 A decimal times a 2-digit number
- Multiplying a decimal by a 2-digit number
- 6:NA49C Extended multiplication with decimals
- Multiplying a decimal by a 2-digit number
- 6:NA50 Estimating decimal multiplication
- To estimate round to the nearest whole number.
- 6:NA51 Estimating with decimals
- Round each number to the nearest whole to estimate the answer. Rounding both decimal numbers down will give an underestimate. Rounding both decimal numbers up will give an overestimate.
- 6:NA56 Equivalent fractions
- Practice exercises for finding equivalent fractions and simplifying fractions. Includes writing equations.
- 6:NA56C Thirds, sixths and twelfths
- Complete the fractions on the number lines and use to write an equivalent fraction. Use >, < or = to make the sentence correct. Write a fraction closer to 1, 0 or one half. Write two fractions that are equal. Put fractions in ascending order.
- 6:NA57 Equivalent fractions
- Practice exercises for finding equivalent fractions and simplifying fractions. Includes writing equations.
- 6:NA57C Comparing fractions
- Complete the fraction boxes on the number lines. Use >, < or = to make each number sentence true. Order the fractions from largest to smallest (descending order). Write a fraction smaller than or closer to given fraction. Colour the given fraction and write as a mixed number.
- 6:NA57E Related fractions on the number line
- Practice exercises for using the number line to compare the size of fractions.
- 6:NA57S Fractions
- Extension page. What fraction of given shapes has been coloured? Draw the remainder of the shape from the part shown. What fraction of the ribbon is shaded? How many pieces were in the whole chocolate bar?- use directions and picture. How many whole shapes can be made from the parts, given the fraction of each part?
- 6:NA58 Fractions and mixed numerals
- Creating improper fractions and converting from improper fractions to mixed numerals. Number sentences with improper fractions and mixed numerals. Ordering improper fractions in relation to mixed numerals. Diagrammatic representations of mixed numerals and fractions.
- 6:NA58C Fractions and mixed numerals
- Writing number sentences with improper fractions and mixed numerals from diagrammatic representations. Ordering improper fractions and mixed numerals on a number line. Converting from mixed numerals to improper fractions and vice-versa.
- 6:NA59 Mixed numerals, improper fractions
- Converting from mixed numerals to improper fractions and vice-versa. Completing number sentences resulting in mixed numerals. Ordering mixed numerals in relation to improper fractions on a number line.
- 6:NA60 Fractions, addition and subtraction
- Using a number line to assist with addition and subtraction of fractions. Fractions with same denominators. Converting improper fractions to mixed numbers.
- 6:NA61 Equivalent fractions
- Strategies for calculating equivalent fractions by multiplying the numerator and the denominator by the same number.
- 6:NA61C Equivalent fractions
- Strategies for creating equivalent fractions, including shading fractions of a shape, using parallel number lines, and multiplying the numerator and the denominator by the same number.
- 6:NA62 Simplifying fractions
- Strategies for simplifying fractions by dividing the numerator and denominator by the same number (reducing fractions).
- 6:NA62C Simplifying fractions
- Strategies for simplifying fractions to find equivalent fractions, including shading fractions of shapes, using parallel number lines, and dividing the numerator and the denominator by the same number.
- 6:NA62S Equivalent fractions
- 6:NA63 Fractions, addition and subtraction
- Using a number line to assist with addition and subtraction of fractions. Fractions with same denominators. Converting improper fractions to mixed numbers.
- 6:NA63C Adding and subtracting fractions
- Addition and subtraction of fractions using equivalent fractions and mixed number answer.
- 6:NA64 Addition of fractions
- Adding fractions with different denominators using equivalent fractions and mixed numbers.
- 6:NA64C Adding fractions
- Adding fractions using different denominators, equivalent fractions and mixed numbers.
- 6:NA65 Subtraction of fractions
- Subtracting fractions with different denominators using equivalent fractions.
- 6:NA65C Subtracting fractions
- Subtracting fractions with different denominators using equivalent fractions.
- 6:NA66 Calculating with mixed numerals
- Calculating with mixed numerals
- 6:NA68 Dividing a decimal by a power of 10
- Mental and written division strategies for dividing a decimal by a power of 10.
- 6:NA68C Multiply and divide decimals by 10, 1...
- Use a calculator to multiply each decimal by 10 and complete the pattern. Use the rules to multiply decimals by 10 or 100. Use a calculator to divide each decimal by 10. Use the rules to divide decimals by 10 or 100. Complete the tables.
- 6:NA78 Fractions of a collection
- Find fractions of a group. Find a fraction of a measurement. Draw a diagram or array to solve the word problem.
- 6:NA78C Fractions of collections
- Find halves, quarters, fifths and tenths of collections.
- 6:NA79 Fractions of a collection
- Finding fractions of a collection of objects. Different ways of writing fraction number sentences. Units of measurement.
- 6:NA79C Fractions of a collection
- Finding fractions of a collection of objects. Different ways of writing fraction number sentences. Units of measurement.
- 6:NA80 Multiplying fractions
- Strategies for multiplying fractions by a whole number, including repeated addition and multiplying the numerator by the whole number, then converting improper fractions to mixed numbers. Practice algorithms.
- 6:NA80C Multiplying fractions by a whole numb...
- Practice algorithms for multiplying fractions by whole numbers, using repeated addition and multiplication of the numerator by the whole number, and conversion from improper fraction to mixed number. Includes word number sentences.
- 6:NA81 Operations with fractions
- Operations involving fractions and their use in recipes.
- 6:NA81C Mixed operations
- Estimating fractions of a whole. Other mixed exercises involving negative numbers, multiples and codes.
- 6:NA82 Percentage of a quantity
- Strategies for finding percentages of quantities including changing the percentage to a fraction and completing a multiplication of a fraction by a whole number. Exercises using positioning on a number line, greater than/ less than and money units.
- 6:NA82C The GST
- Goods and Services Tax. Circle the GST amounts.
- 6:NA82S Calculating percentages
- Word problems involving calculating percentages of quantities, including converting fractions to percentages, creating equivalent fractions, finding average percentages, and using the percent button on the calculator.
- 6:NA83 Sales and discounts
- Purchasing products using discounts and various ways of paying.
- 6:NA83C Discounts and percentages
- Purchasing products using discounts and various ways of paying. Finding percenatages of an amount.