Grade 8 - Number
Standard 8.N.3 - Practice determining the experimental probability of a word problem.
Included Skills: Ratios
Demonstrate understanding of rates, ratios, and proportional reasoning concretely, pictorially, and symbolically. • Identify and explain ratios and rates in familiar situations (e.g., cost per music download, traditional mixtures for bleaching, time for a hand-sized piece of fungus to burn, mixing of colours, number of boys to girls at a school dance, rates of traveling such as car, skidoo, motor boat or canoe, fishing nets and expected catches, or number of animals hunted and number of people to feed). • Identify situations (such as providing for the family or community through hunting) in which a given quantity of represents a: - fraction - rate - quotient - percent - probability - ratio. • Demonstrate (orally, through arts, concretely, pictorially, symbolically, and/or physically) the difference between ratios and rates. • Verify or contradict proposed relationships between the different roles for quantities that can be expressed in the form a/b. For example: - a rate cannot be represented by a percent because a rate compares two different types of measurements while a percent compares two measurements of the same type - probabilities cannot be used to represent ratios because probabilities describe a part to whole relationship but ratios describe a part to part relationship - a fraction is not a ratio because a fraction represents part to whole - a ratio cannot be written as a fraction, unless the quantity of the whole is first determined (e.g., 2 parts white and 5 parts red paint is 2/7 white) - a ratio cannot be written as percent unless the quantity of the whole is first determined (e.g., a ratio of 4 parts blue and 6 parts red paint can be described as having 40% blue). • Write the symbolic form (e.g., 3:5 or 3 to 5 as a ratio, $3/min or $3 per one minute as a rate) for a concrete, physical, or pictorial representation of a ratio or rate. • Explain how to recognize whether a comparison requires the use of proportional reasoning (ratios or rates) or subtraction. • Create and solve problems involving rates, ratios, and/or probabilities.