Lesson #4 title: PART 4 = Reducing (simplifying) fractions to lowest terms by DIVIDING BY A COMMON FACTOR (CREATING EQUIVALENT FRACTIONS IS A LIFE SKILL!) Date: THROUGH-LINE: Image – reflecting God wonderfully and magnificently designed the human body in proportions. 3 A ratio is a relationship that exists between the amounts of TWO NUMBERS (example: 3 to 4; 3 : 4; fractional form ). 4 OUTCOMES: 1. Explain that equivalent fractions represent the same quantity. (gr5 POS) 2. Use a mathematical rule for developing a set of equivalent fractions. (gr5 POS) 3. Express a given fraction as a reduced (simplified) fraction in lowest terms (or simplest form) by identifying the common factor shared with both the numerator and denominator (gr7 POS). 4. Explain why simplifying a fraction does not change the ‘value’ of the fraction. MATERIAL NEEDED: highlighters, pencil, blue pen, ruler QUICK REVIEW: Write each fraction as a % (humour me, and just solve ). 𝟏 𝟓 = 𝟐 = 𝟏𝟎 𝟑 𝟑 = 𝟐𝟎 = 𝟒 𝟐 𝟓 = Example #1: Create equivalent fractions by REDUCING TO LOWEST TERMS (also called simplest form). STRATEGY: what FACTOR is COMMON TO BOTH the numerator and the denominator? 𝟓𝟎 𝟗 = 𝟏𝟎𝟎 𝟏𝟓 𝟕𝟓 𝟒 = 𝟏𝟎𝟎 𝟐𝟎 = 𝟓𝟎 𝟖 𝟏𝟎𝟎 = = 𝟒𝟎 𝟏𝟎𝟎 𝟒 𝟏𝟓 = 𝟔 = = 𝟓 𝟏𝟎 = L4(2) Example #2: (obtained from Eduguide 7 Supplemental Workbk, p.4) Find equivalent fractions by REDUCING TO LOWEST TERMS. SHOW YOUR DIVISION! L4(3) YOUR TURN (obtained from Ms. T’s head) L4(4) YOUR TURN (obtained from Ms. T’s head) L4(5) YOUR TURN (obtained from Ms. T’s head) L4(6) YOUR TURN (obtained from Ms. T’s head) L4(7) YOUR TURN (obtained from Ms. T’s head) L4(8) YOUR TURN Find equivalent fractions by REDUCING TO LOWEST TERMS. Show division. L4(9) YOUR TURN Find equivalent fractions by REDUCING TO LOWEST TERMS. Show division. L4(10) YOUR TURN Find equivalent fractions by REDUCING TO LOWEST TERMS. Show division.
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