Year 4 Mathematics Decimal Fractions Task Task Outline: You will need to play five games of ten pin bowling and record your scores. You will describe your score as a total out of ten and then as a decimal: “I scored 8 out of 10. That is eight tenths.” Your score is recorded on a number line and you need to calculate your progressive total. Equipment Required: One set of ten pins and a bowling ball for each group of 3 students. Paper and pencils for recording scores. Rulers to construct number lines. Procedure: 1. Each student takes a turn at bowling. 2. Tell the group your score as a fraction out of ten (the group should agree on that score). 3. Record your score on a number line (You will need to construct the number line before you begin the game). 4. After each turn, you need to record your progressive score on the number line by counting on and marking the new total. 5. After you have completed your five turns, provide your final score and write an explanation of how you calculated your score using the number line. 6. Provide a short statement (3-4 sentences) reflecting on what you have learned about decimals and the number line. Year 4 Mathematics – Decimals Task Assessable Elements Knowledge and Uses decimal notation and positions decimal Understanding fractions on a number line. Calculates addition of decimal using a number line. Records data in a table. Thinking and Reasoning Uses reasoning to describe position of decimals on a number line and value of numbers between whole numbers. Communicating Explains the process used when adding decimals using a number line. Reflecting Reflects on own learning about decimals and can identify other real life examples where this knowledge may be useful. Descriptors A B C Demonstrates comprehensive knowledge of decimals by accurately placing all scores on the number line in decimal notation. Demonstrates satisfactory knowledge of decimals by placing most scores on the number line in decimal notation. Accurately adds each progressive score using the number line and recording the progressive total correctly as a decimal fraction. Adds progressive scores by counting along the number line and mostly recording progressive total correctly. Comprehensively records scores in a table by showing raw scores, common fraction in tenths and decimal fractions. Applies insightful reasoning to determine the position of the decimals on the number line and checks for accuracy. “I know 0.7 is less than the whole amount, but greater than 0, so it must be between 0 and 1. When I added my next score it went over 1 and between 1 and 2.” Explains clearly and accurately the process used to add decimals fractions using a number line with detailed steps in the process. “I began with 0.7 and then I scored another 5 which is 0.5 more. I used the number line to count on five more tenths and marked my next total. I continued to do this until the end of the game.” Perceptive statements about own learning includes reference to old knowledge and new knowledge. “I already knew… and after playing this game and completing the number line activity I also learnt…..” Records scores in a table as a decimal fraction. Demonstrates competent application of reasoning to check the position of decimals on the number line. “I scored 0.5 so I counted five tenths along the number line. It was between 0 and 1.” Provides a sound statement to communicate the process used to add decimals using a number line with one or two simple steps in the process. “I counted 5 more along the line.” Reflects on own learning using a relevant reflection about something new learnt about decimals. “I learnt…..” D E