Fractions, Decimals and Percentages
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Level contents
- * Assessment for the whole of Level 6
- ** Assessment test answers
- *** Assessment test records
- 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 on 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