5-minute check. ratios, proportions and the geometric mean 6.1 objectives students will analyze and...
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5-Minute check
Ratios, Proportions and the Geometric Mean6.1 ObjectivesStudents will analyze and solve problems
by writing and solving proportions.Why? So you can estimate bird
populations, as seen in Ex 62.Mastery is 80% or better on 5-minute
checks and practice problems.
Computing RatiosIf A and B are two quantities that are
measured in the same units, then the ratio of A to B is A/B. The ratio of A to B can also be written as A:B
Because a ratio is a quotient, its denominator cannot be zero. Ratios are usually expressed in simplified form. For instance, the ratio of 6:8 is usually simplified to 3:4. (You divided by 2)
Ex. 1: Simplifying Ratios
Pair Share- Simplifying Ratios
Ex. 2 – use a ratio to find a deminsion
Ex. 2 - cont
Ex. 3 - Using extended Ratios
Ex. 2-3: Pair Share
Ex. 4 - solve proportions
Ex. 4 - continued
Part 1 HW
Slide #12
360 1-10 all
Pair Share --
Ex. 5 – solving real world problems
Ex. 5 - Cont
Using ProportionsAn equation that
equates two ratios is called a proportion. For instance, if the ratio of a/b is equal to the ratio c/d; then the following proportion can be written:
= Means Extremes
The numbers a and d are the extremes of the proportions. The numbers b and c are the means of the proportion.
Ex. 6 - Find Geometric Means
Examples 5-6
Guided practice
Exit slips What was todays objective(s)?Students will analyze and solve problems
by writing and solving proportions.Why? So you can estimate bird
populations, as seen in Ex 62.Mastery is 80% or better on 5-minute
checks and practice problems.
HomeworkPage 360-362#12-58 even