Curriculum Goals Grade 5/6
- Determine and explain the relationship between fractions and their equivalent decimal forms.
- Comparing and ordering fractional amounts with unlike denominators.
- Relating simple fractions (proper, improper, mixed numbers), decimals, and percentages.
- Area close to the board for the lesson.
- Carpet area, floor, or a long desk for the activity.
- Students should know simple fractions (½, 1/3, ¼, 1/5) and equivalent decimals and percentages.
- Students should understand that percentages are directly related to decimals
(example: 0.45 is the same as 45%).
- Using the board, write down some simple fractions one at a time.
Examples: ½ , ¾ , 1/3
- Have students state the name of the fraction (“one half, three fourths, one third”).
- Ask students what these are in decimals or percentages (50% or 0.5, 75% or 0.75, 33.3% or 0.33). Ensure that students understand that decimals and percentages are directly related to each other.
- Start providing examples of fractions that are more difficult.
Examples: 5/10, 1/25, 3/5
- Ask students if they have strategies to determine what the equivalent decimal or percentage is.
Examples of strategies include: reducing the fraction into its simplest form, changing the denominator to be 100 and changing the numerator accordingly
- Explain to students that they will be given a set of fraction cards (15 cards per pair; Set 1), and the task is to order them on an imaginary number line with a partner.
– Simple fractions should be provided first
– Review that a number line goes from left to right: smallest to largest
- Provide an example to get students started.
– Example: putting ½ in the middle of their work area, and then putting 1/8 on the far left
- Have students work together to finish arranging the rest of the cards.
– Encourage students to use a paper and pencil to change the fractions if necessary (referring back to the strategies discussed earlier)
- Once a pair finishes, provide the decimal cards and have students determine which decimal card matches with the fractions on the number line (15 cards per pair; Set 2).
- When a pair is done, provide the mixed number/improper fraction/more difficult fractions/equivalent fractions cards (30 cards per pair; Set 3).
- When pairs finish, go through the number line with them, starting from zero. Encourage students to explain their reasoning and thinking.
Note: Not all pairs will finish arranging all 60 cards. The last set of cards is for fast finishers.
Questions to Extend Student Thinking
- What were some of the strategies you used to match the decimal to the fraction?
- How about when ordering the more difficult fraction cards?
- How do you know that 1/25 is the same as 4/100?
- What was your strategy for working with improper and mixed fractions?
Look Fors/Assessing the Learning
- Are students using strategies discussed earlier in the class?
- What is common knowledge to the students?
For example, do students automatically know that 6/10 is 0.6?
- Where are students hesitating or getting stuck?