Fractions, Decimals and Percentages
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Level contents
- * Assessment for the whole of Level 5
- ** Assessment test answers
- *** Assessment test records
- 5:01 Fractions and decimals
- Describe the portion of hundreds chart shaded as hundredths, fraction, tenths, decimal, etc. Colour each hundred square to show the fraction or decimal given. Write the fraction for the decimal given and the decimal for the fraction given.
- 5:02 Fractions and decimals
- Find the value of given number from the Base 10 place value chart diagrams. Match each card and numeral expander to the correct decimal. Complete the decimal table and use to find the number between given numbers. Circle the number closest in size. Match the decimal numbers to their position on the number line.
- 5:02C Fractions and decimals
- Write the decimal number that matches the Base 10 diagrams in the place value tables. Match each card and numeral expander to the correct decimal number. Complete the decimal table and use to write the number between. Circle the number closest in size.
- 5:03 Thirds, sixths and twelfths
- Thirds, sixths and twelfths. Identify the fraction coloured. Colour the fraction given. Draw lines to divide each strip of paper into the correct number of equal parts. Draw lines to divide each strip of paper into the correct number of equal parts. Order from smallest to largest.
- 5:04 Thirds, sixths and twelfths
- Tick the shapes that have been divided correctly into thirds, sixths and twelfths. Identify which collections cannot be divided fairly into thirds, sixths and twelfths. Complete the number line and the pattern, and circle the fraction that is closer. Use >, < or = to complete. Add fractions.
- 5:04E Thirds, sixths and twelfths
- Write the fraction covered. Complete the whole shape from the part shown. Match each fraction to a label. Estimate what part is shaded. Write a fraction using thirds, sixths or twelfths for the mark on each number line.
- 5:05 Equivalent fractions
- Colour one third, one sixth and one twelfth. Circle the largest/ smallest fraction. What part of each strip is coloured/ not coloured? Make equivalent fractions by multiplying the top and bottom of the fraction by the same number. True (T) or false (F)? Use >, < or = to complete.
- 5:05PT Progress test
- Test of Fractions, decimals and percentages
- 5:06 Applying fractions and decimals
- Use a calculator to find the decimal for each fraction. Chance - show as a decimal. Match each container to a point on the number line that gives the chance of choosing a red ball. Assess the chances given as < or > one half. Complete the fraction pattern then write the decimal pattern.
- 5:06C 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.
- 5:06E 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?
- 5:07 Equivalent fractions
- Complete the fraction boxes on the number lines. Use a calculator to change fractions to decimals. Find equivalent fractions. Divide each shape into the correct number of equal parts. True (T) or false (F)?
- 5:07E 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.
- 5:08 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.
- 5:09 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.
- 5:09E 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.
- 5:10 Chance
- Ordering chance words and phrases on a scale, matching chance words and phrases to fraction expressions, estimating chance percentages of events using a picture story, choosing chance words and corresponding decimals to fit real-life events.
- 5:11 Improper fractions/ mixed numbers
- Circle the improper fractions. Make improper fractions. Use division to change the improper fraction to a mixed number.
- 5:11E Improper fractions and mixed numbers
- Complete the number line - sixths. Use to find improper fractions or mixed numbers as directed. Complete the pattern. Write mixed numbers for improper fractions.
- 5:12 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.
- 5:13 Improper fractions/ mixed numbers
- Write the mixed number as an improper fraction. Write as an improper fraction and a mixed number. Change improper fractions to mixed numbers.
- 5:13C Fractions and mixed numbers
- Write the fraction for the shaded part. Shade the fraction or mixed number. Write how many of a given fraction in each mixed number.
- 5:13PT Progress test
- Test of Fractions, decimals and percentages
- 5:14 Thousandths
- Match each box to a decimal. Write the decimal for each fraction - thousandths. Use > or < to complete. Write a number with three decimal places that is smaller. Order the decimals in descending order. Add the decimals - tenths plus hundredths plus thousandths.
- 5:15 Addition/subtraction of fractions
- Add or subtract fractions with same denominators, and write the answers as improper fractions and as mixed numbers.
- 5:15C Addition and subtraction of fractions
- Add and subtract fractions with same denominators, and write each answer as an improper fraction and as a mixed number. Complete the number line.
- 5:15E Addition and subtraction of fractions
- Extension page. Addition/subtraction of up to 3 fractions with same denominators. Write each answer as an improper fraction and as a mixed number. Change the whole number into a mixed number, then subtract.
- 5:16 Finding percentages
- Colour the percentages in the hundreds grids. Write the fractions and the percentages of the shapes coloured. Match the fractions coloured to the correct percentages. Colour the percentage of each collection.
- 5:16C Percentages of collections
- 60% of the first shape has been shaded. Colour 60% of the other two shapes. Write the fraction for each percentage. Write the fraction and percentage for the parts shaded. Shade the percentage of each collection. Write your answer.
- 5:17 Addition with mixed numbers
- Add the parts of shapes that are shaded. Add the whole numbers to the fractions.
- 5:17PT Progress test
- Test of Fractions, decimals and percentages
- 5:18 Subtraction with mixed numbers
- Write the equivalent fractions or mixed number for each whole number. Subtract the lighter shaded parts.
- 5:18E Subtracting fractions from a whole
- Extension page. Use the shapes to help subtract a fraction from a whole and from whole numbers greater than one.
- 5:19 Shopping
- Draw the least number of notes and coins needed to buy the items shown. What change from $50 would you get if you bought each item. Use a calculator or a very long algorithm to find the total cost of all of the priced items on this page. If the items were sold with a 10% discount, how much would you save on each item. Use the memory function on the calculator to work out the cost of a collection of these items. Draw a picture of what you would like for Christmas.
- 5:20 × and ÷ by 10, 100, 1000
- 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.
- 5:20PT Progress test
- Test of Fractions, decimals and percentages