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MONDAY 5/22/23 & TUESDAY 5/23/23
Lesson: Simple interest rate
Simple interest Share lesson:
When you deposit money into an account at the bank, the bank might pay you interest. You also pay interest when you borrow money from a bank. When you borrow money, you can think of interest as the cost of using someone else's money. Simpleinterest is calculated using the principal, or starting amount. The amount of interest earned depends on these factors:
the amount of principal
theinterest rate, which is usually expressed as a percentage
the amount of time
To calculate simple interest, use the following formula: i=prt
i is the interest earned.
p is the principal.
r is the interest rate expressed as a decimal.
t is the amount of time in years.
Let's try it! Tiana puts $400 into a savings account that earns 5% simple interest per year. If she doesn't touch the account, how much interest will she earn in 2 years? The principal is $400. The interest rate of 5%, expressed as a decimal, is 0.05. The amount of time is 2 years. Use the simple interest formula to calculate the interest. i=prt=400(0.05)(2)=202=40 So, the amount of interest Tiana will earn in 2 years is $40. Anotherexample David deposits $5,000 into a savings account that earns 6.5% simple interest annually. If he doesn't touch the account, how much will he have in the savings account in 18 months? To find out how much David will have in the account in 18 months, calculate the interest he earns and add it to the principal. The principal is $5,000. The interest rate of 6.5%, expressed as a decimal, is 0.065. The amount of time is 18 months, which can be written as 1.5 years. Use the simple interest formula to calculate the interest. i=prt=5,000 0.065 1.5=325 1.5=487.5 The amount of interest David will earn in 18 months is $487.50. He originally deposited $5,000 into the account. Add the interest to David's original deposit. 487.50+5,000=5,487.50 So, David will have $5,487.50 in his savings account in 18 months.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> DUE BY END OF CLASS: watch youtube video https://youtu.be/jtFE94lf7Vw
watch IXL video before practice https://www.ixl.com/math/grade-7/simple-interest?signInRedirect=https%3A%2F%2Fwww.ixl.com%2Fsignin%2Fteachacademy >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> missing assignments for every class
Homework; finish all Schoology assignments
WEDNESDAY 5/24/23
Review?Assessment Day
Lesson Review
alternate interior/exterior angles
line of best fit
Probability
CORE STANDARDS
8.G.A.2 — Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
8.G.A.5 — Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.
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Learning Objectives define circumference and diameter. calculate pi and identify it as 3.14. measure circumference and diameter of circular objects. STANDARD Students use ideas about distance and angles, how they behave under translations, rotations, reflections, and dilations, and ideas about congruence and similarity to describe and analyze two-dimensional figures and to solve problems. Students show that the sum of the angles in a triangle is the angle formed by a straight line, and that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines. Students understand the statement of the Pythagorean Theorem and its converse, and can explain why the Pythagorean Theorem holds, for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points on the coordinate plane, to find lengths, and to analyze polygons. Students complete their work on volume by solving problems involving cones, cylinders, and spheres. Y.5 Circumference of circles
Pi is the ratio of the circumference of a circle to its diameter. If you divide the circumference of any circle by its diameter, you will get pi! You can use the symbol 𝜋 to show pi. Pi is an irrational number. Irrational numbers written as decimals never repeat or end. Since pi is an irrational number, it cannot be written out fully. Here is how it starts: … You'll often see or used as approximations for pi. Calculating circumference If you know the diameter or radius of a circle, you can use pi to find the circumference. circumference diameter = 𝜋 3.1415926535 3.14 22 7
Fun Fact Have you ever heard of Pi Day? It is March 14, or 3/14! People often celebrate by baking and eating pie, or by holding contests for people to recite as many digits of pi as they can. In countries that use the day/month format instead of month/day, some people celebrate Pi Approximation Day on July 22, or 22/7. Pi Calculating circumference using diameter To find the circumference of a circle, you can multiply pi by the diameter of the circle. In the formula below, d is the diameter. Let's try it! Find the circumference of the circle below. The diameter of the circle is 12 units. Use 3.14 as an approximation for pi. The symbol ≈ means approximately equal to. So, the circumference of the circle is about 37.68 units. Calculating circumference using radius If you have the radius instead of the diameter, you can still calculat
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