Lecture provides knowledge of the slopes and the derivative - Differentiation rules. This chapter presents the following content: The tangent line, definition of the derivative, differentiability, differentiation rules, derivatives of trigonometric functions. | General Mathematics ADE 101 LECTURE No. 6 Ratio, Rate and Proportion Today’s Objectives Students and Teachers will be able to Understand What is Ratio, Rate & Proportion? Make the difference between Ratio, Rate and Proportion Solve the Sums Involving Ratio, Rate & Proportion KNOWLEDGE TEST What is a fraction? A Fraction A Ratio Difference between Fraction and Ratio Fraction shows a part of same thing. Difference between Fraction and Ratio Ratio is the relationship between two different things Ratios are the comparison of two or more numbers. Symbol of Ratio Representation of a Ratio The ratio of 3 boys to 5 girls can be written as: c) a) 3 to 5 b) 3: 5 Which ratio shows the ratio of 2 fish to 3 bear? A B C D E Which ratio shows the ratio of 1 soccer ball to 3 basketball? A B C D E Which ratio shows the ratio of 3 butterflies to 1 apple? A B C D E Ratios can show comparisons between: part to part red to green 1 to 2 green to red 2 to 1 Ratios can show comparisons between: part to whole red to whole 1 to 3 green to whole 2 to 3 Ratios can show comparisons between: whole to part whole to red 3 to 1 whole to green 3 to 2 Compare octagon to all shapes 1 to 8 1 : 8 1/8 Compare all shapes to trapezoid 8 to 1 8 : 1 8/1 Compare pentagons to hexagons 2 to 3 2 : 3 2/3 A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 ÷ 8 = ÷ 3 ÷ 3 = 1 girl to every 2 boys 2 girls to every 4 boys 3 girls to every 6 boys 4 girls to every 8 boys girls : boys = 4 : 8 girls : boys = 3 : 6 girls : boys = 2 : 4 girls : boys = 1 : 2 But the simplest ratio is still 1 : 2 But the simplest ratio is still 1 : 2 But the simplest ratio is still 1 : 2 This is the simplest ratio is 1 : 2 The dinner queue Ratio of girls to boys? 20 2 boys to every 1 girl 4 boys to every 2 girls 6 boys to every 3 girls 8 boys to every 4 girls boys : girls = 8 : 4 boys : girls = 6 : 3 boys : girls = 4 : 2 boys : girls = 2 : 1 But the simplest ratio is . | General Mathematics ADE 101 LECTURE No. 6 Ratio, Rate and Proportion Today’s Objectives Students and Teachers will be able to Understand What is Ratio, Rate & Proportion? Make the difference between Ratio, Rate and Proportion Solve the Sums Involving Ratio, Rate & Proportion KNOWLEDGE TEST What is a fraction? A Fraction A Ratio Difference between Fraction and Ratio Fraction shows a part of same thing. Difference between Fraction and Ratio Ratio is the relationship between two different things Ratios are the comparison of two or more numbers. Symbol of Ratio Representation of a Ratio The ratio of 3 boys to 5 girls can be written as: c) a) 3 to 5 b) 3: 5 Which ratio shows the ratio of 2 fish to 3 bear? A B C D E Which ratio shows the ratio of 1 soccer ball to 3 basketball? A B C D E Which ratio shows the ratio of 3 butterflies to 1 apple? A B C D E Ratios can show comparisons between: part to part red to green 1 to 2 green to red 2 to 1 Ratios can show comparisons between: part to .
