Related Junior Resources Using Propor4onal Reasoning •  Mathies Drop Ball Game Demonstra4on •  Connec4ng Frac4ons and Decimals Curriculum Expecta4ons for Drop Ball Game Represent, compare, and order frac4onal amounts with •  Grade 5: like denominators •  Grade 6: unlike denominators including proper and improper frac4ons and mixed numbers, using a variety of tools (e.g., frac4on circles, Cuisenaire rods, number lines) Propor4onal Reasoning at Work: Frac4ons and Decimals In order to understand both frac4ons and decimals, students need to be able to think in propor4onal terms: •  Frac4ons represent a rela4onship between the numerator and denominator •  Decimal numbers are part of our place value system based on increases by a factor of ten or decreases by a factor of 1/10 Spa4al Reasoning at Work •  Decimal numbers are another way of expressing frac4ons •  Students need to make the connec4on between the two number systems •  Concrete representa4ons are effec4ve for making a conceptual connec4on that both systems express the same ideas Curriculum Expecta4ons Determine and explain through inves4ga4on, using concrete materials and a variety of tools, the rela4onship: •  Grade 4 – between frac4ons and decimals to tenths •  Grade 5 – between frac4ons and their equivalent decimal forms •  Grade 6 – among frac4ons, decimal numbers, and percents Highlights of Spa4al Reasoning in Junior Resource for Decimal Numbers Connec4ng Decimals and Frac4ons Model base ten frac4ons Large square represent one whole Give students opportuni4es to use concrete materials to represent decimals as frac4ons and frac4ons as decimals. Represent 2/5 as a decimal. Connec4ng Friendly Decimals and Frac4ons with Visuals ¼ or 25/100 or 0.25 1 or 25 or 0.25 4 100 Grade 5 Learning Ac4vity Number Books For a related ac4vity, check out … Probability Problem in Resource – Grade 6 Jus4n has a bag of 40 coloured 4les. Without looking, he reaches in and pulls one 4le out. Complete the table below to determine the probability of choosing a red, green, blue, or yellow 4le. Colour Red Number in Bag 6 Green 10 Probability of choosing a 4le of this colour Blue Yellow 0.2 Adapted from 2013-­‐14 Grade 6 EQAO Probability Problem Adapted (to link decimals and frac4ons) Jus4n has a bag of 40 coloured 4les. Without looking, he reaches in and pulls one 4le out. Complete the table below to determine the probability of choosing a red, green, blue, or yellow 4le. Colour Red Green Number in Bag 6 Probability of choosing a 4le of this colour 1/4 Blue Yellow 0.2 Adapted from 2013-­‐14 Grade 6 EQAO Grade 5 – determine and explain the rela4onship between frac4ons and their equivalent decimal forms Place 4les on the big rectangle or colour it so: •  0.25 of the rectangle is red, •  1/5 of the rectangle is blue, •  0.2 of the rectangle is green, •  4 4les are yellow. What frac4on of the rectangle is uncovered? How can you express this as a decimal number? Write frac4ons and decimals for the four colours. Grade 4 – determine and explain the rela4onship between frac4ons and decimals to tenths, using a variety of tools Sharing Cake A family shared a birthday cake. The dad ate one-­‐fich of the cake, the son ate 0.2 of the cake, the daughter ate 1/10 of the cake and the mom ate one piece. What frac4on of the cake was lec over? Show your thinking.