1 / 9

Exploring Equality Equations: Understanding Balance in Mathematics

Dive into the world of equations where two quantities are equal, learn the properties of numbers to solve with one unknown, and explore hidden coins in a mathematical kingdom.

shina
Télécharger la présentation

Exploring Equality Equations: Understanding Balance in Mathematics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Investigation #11 Exploring Equality

  2. Equations… • An equation states that two quantities are equal. • In the equation A = 5 + 0.5dA and 5 + 0.5d are the two quantities. • They both represent how much money that Dianacollects from each sponsor. • Since each quantity represents numbers, we can use the properties of numbers to solve equations with one unknown.

  3. What does it mean for two quantities to be EQUAL? • A = 5 + 0.5d A 5 + 0.5d = To be equal, both sides of the equation must have the same value. This is a balanced equation. So if A = 10 then the other side of the equal sign (5 + 0.5d) must also equal 10.

  4. 85 = 70 + 15 • This equation states that 85 and 70 + 15 are equal. • If Isubtract 15 from the left had side of the original equation, what do I have to do to maintain equality? • If I add 10 to the right hand side of the equation, what do I have to do to maintain equality? • If I divide the left hand side of the equation by 5, what do I have to do to maintain equality? • If I multiply the right hand side of the equation by 4, what do I have to do to maintain equality?

  5. The Kingdom of Montarek • In this kingdom the ambassadors carry diplomatic pouches. • The content of the pouches are unknown except by the ambassadors. • Ambassador Noah wants to send one dollar gold coins to another country. • His friend Laura, who is a mathematician, helps him devise a scheme based on equality for keeping track of the number of one dollar coins in each pouch.

  6. The Rule… • Each pouch contains the same number of one dollar gold coins. • The number of gold coins on both sides of the equality sign is the same, but some coins are hidden in the pouches. • Your job today will be to find out the number of gold coins hidden in the pouches!

  7. Period 2 Partners • Luisa & Brittny • Aliah & Yael • Victoria & Trevor • Jessica & Lindsi • Kyle & Sam • Kairash & Marco • Donique & Ashley • Alex & Austin • Myah & Isa • Karrah & Cecilia • Nestor & Rafeal • Lauren & Gaige • Orlando & Carly

  8. Period 3 Partners • Baxter& Brenna • Grant & Christian • Maxine & Noah • Skylar & Jackson • Sterling & Jennifer • Madison & Sierra • Dylan & Amasjai • Elizabeth & Ben • Austin & Gage • Laura & Abbie • Angelo & Auriya • Victoria & Taylor • Chase & Alyx

  9. Period 5 Partners • Diana & Issamar • Matt & Tia • Serena & Elijiah • Cassandra & Elena • Michael & Jon • Jazmyn & Alex • Tatum & Jade • Saul & Lauren • Alexa & Alicia • Nick & Michelle • Jesus & Thadius • James & Ana • Kristen & Nathan

More Related