![Page 1: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/1.jpg)
5-Minute check
![Page 2: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/2.jpg)
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.
![Page 3: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/3.jpg)
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)
![Page 4: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/4.jpg)
Ex. 1: Simplifying Ratios
![Page 5: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/5.jpg)
Pair Share- Simplifying Ratios
![Page 6: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/6.jpg)
Ex. 2 – use a ratio to find a deminsion
![Page 7: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/7.jpg)
Ex. 2 - cont
![Page 8: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/8.jpg)
Ex. 3 - Using extended Ratios
![Page 9: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/9.jpg)
Ex. 2-3: Pair Share
![Page 10: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/10.jpg)
Ex. 4 - solve proportions
![Page 11: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/11.jpg)
Ex. 4 - continued
![Page 12: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/12.jpg)
Part 1 HW
Slide #12
360 1-10 all
![Page 13: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/13.jpg)
Pair Share --
![Page 14: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/14.jpg)
Ex. 5 – solving real world problems
![Page 15: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/15.jpg)
Ex. 5 - Cont
![Page 16: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/16.jpg)
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.
![Page 17: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/17.jpg)
Ex. 6 - Find Geometric Means
![Page 18: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/18.jpg)
Examples 5-6
![Page 19: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/19.jpg)
Guided practice
![Page 20: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/20.jpg)
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.
![Page 21: 5-Minute check. Ratios, Proportions and the Geometric Mean 6.1 Objectives Students will analyze and solve problems by writing and solving proportions](https://reader031.vdocument.in/reader031/viewer/2022032415/56649f055503460f94c1a516/html5/thumbnails/21.jpg)
HomeworkPage 360-362#12-58 even