State exam math question on perimeters (question 1). 5th grade math.

NGSS Science Videos

This video helps children prepare for state math exams by explaining how to solve a retired (released) question from an actual state exam.    - If you want to copy any of our more than 100 free Google Forms (all with questions and links to free-access educational videos we've made), then please download this free file from TPT and it will give you directions for how to access them: https://www.teacherspayteachers.com/Product/State-Math-Test-questions-and-answers-as-a-Google-Form-2022-Q6-10-V2-11530867   Other free resources we've made:  - For links to many free educational resources, please visit our website (no 3rd party advertising, no subscriptions, no paywalls): https://TestPrepLLC.org/   - For our free apps for Apple's Mac and iPad (collects no data, no advertising, no subscriptions, no paywalls, no in-app purchases), please visit our page on the Apple App Store. These apps include Common Core and State based practice tests in math, and State science exams based on NGSS and State curriculums (all with detailed, colorful explanations): https://apps.apple.com/us/developer/test-prep-llc/id1727786893   Best wishes,  The staff at Test Prep LLC  https://TestPrepLLC.org

Transcript

00:00This video is part of a Google Form quiz that teachers can assign to their students for homework.

00:06After the students submit their answers, then they can play a video like this one to see the

00:10answer explained. We've made more than 100 quizzes as Google Forms with free access videos,

00:17which teachers are welcome to copy for free. To get access to these, please see the link in the

00:22description. This video is based on a question from an actual state exam. You may have one like

00:28this on your state exam. If you've already done so, before watching this video, we suggest that you

00:34watch the video on how to calculate perimeters. Isabel divides a rectangle equally into three

00:40smaller rectangles and colors the middle rectangle. What is the perimeter of the colored rectangle?

00:47This is the rectangle that Isabel started with. Its base is 15 inches long. Its height is 9 inches long.

00:54Then she divided this one rectangle equally. The final picture shows us three rectangles. The

01:00center one, which we're calling rectangle B, is colored red. The question asks us,

01:06what's the perimeter of the colored rectangle? To calculate the perimeter, we need to know the

01:11length of each side. The directions say that Isabel divided this big rectangle equally into three

01:17smaller rectangles. That means she divided 9 by 3. 9 divided by 3 equals 3.

01:23So each of these short sides is 3 inches long. We know that for each rectangle, its short sides are

01:29the same length as each other. So the other short side of each of these rectangles is also 3 inches

01:35long. Now we need to know the length of the long sides of the rectangle. Rectangle C has two long sides.

01:43The bottom side is 15 inches based on the question's drawing. This top side must be 15 inches too,

01:48because the long sides of a rectangle are the same length as each other. Rectangle B's bottom side is

01:55the same line as rectangle C's top side. So this side is 15 inches long. Because the long sides of a

02:01given rectangle are the same length, then that means the upper side of rectangle B is also 15 inches long.

02:08Here's a simplified drawing that only shows rectangle B. Let's summarize what we found.

02:13Each of the long sides are 15 inches long. Each of the short sides are 3 inches long.

02:18The perimeter is the total length of all the sides. That's 15, plus 15, plus 3, plus 3.

02:26When we add these up, we get 36 inches.

02:28Let's close. Choice B is correct. Thanks for your attention.

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