8th Grade Math At Home Learning Packet Week#4 May 4 - 8 Monday, May 4th PYTHAGOREAN THEOREM Find the length of the side. 1. 2. 79 34 ? 14 75 ? 3. 4. ? 46 27 ? 44 40 5. 6. 124 174 ? 79 110 ? 7. 8. 195 ? ? 16 173 27 Math4childrenplus.com 4.) 1.) Find themissing sidelength of each righttriangle below: Apply…. Compute…. 5.) 2.) Explain a proof of the Pythagorean Theorem andconverse. its Explain aproof ofthePythagorean 3.) ball? player throw the Howdid far the to third base. ball from point P player threw a A oneach side. measures 90 feet square that The infield isa shown below. baseball field is diagram of a A CCSS.MATH.CONTENT.8.G.B.6 CCSS.MATH.CONTENT.8.G.B.6 triangle ABC. Explain how you triangle Calculate1.) theperimeter of found youranswer in detail. poll. calculatedtheheight of the explaining howyou insurancecompany writeashortnotethe to pole replaced, you must poll? In ordertogetthe What was theheight of the broken during astorm. shows apolethat was The diagram to theright Tuesday, May 5th hundredthof aninch. answer rounded to thenearest inof pi,and terms an approximate Giveanexactanswer figure below. 2.) Calculate theperimeter of the Justify…. Create…. Wednesday,FLUENCY AND May SKILLS 6th PRACTICE Name: LESSON 14 Solving Real-World Problems with Systems of Linear Equations Solve the problems by solving a system of equations. 1 Otis paints the interior of a home for $45 2 Calvin has 13 coins, all of which are per hour plus $75 for supplies. Shireen quarters or nickels. The coins are worth paints the interior of a home for $55 per $2.45. How many of each coin does hour plus $30 for supplies. The equations Calvin have? give the total cost for x hours of work for each painter. For how many hours of work are Otis’s and Shireen’s costs equal? What is the cost for this number of hours? y 5 45x 1 75 y 5 55x 1 30 3 There are 47 people attending a play 4 Agnes has 23 collectible stones, all of at an outdoor theater. There are which are labradorite crystals or galena 11 groups of people sitting in groups crystals. Labradorite crystals are worth of 3 or 5. How many groups of each size $20 each, while galena crystals are are there? worth $13 each. Agnes earns $439 by selling her entire collection. How many stones of each type did she sell? ©Curriculum Associates, LLC Copying permitted for classroom use. GRADE 8 LESSON 14 Page 1 of 2 © 2020 Curriculum Associates, LLC. All rights reserved. 26 FLUENCY AND SKILLS PRACTICE Name: LESSON 14 Solving Real-World Problems with Systems of Linear Equations continued 5 A dog groomer buys 7 packages of 6 Copland competes in 27 swimming treats. Gourmet treats are sold in packs events this season. He wins either first of 2. Treats that help clean a dog’s teeth place or second place in each event. are sold in packs of 5. The dog groomer Copland has 3 more first-place wins than buys 26 treats in all. How many second-place wins. In how many events packages of each did she buy? did he win first place, and in how many did he win second place? 7 Choose one problem from problems 1. Check your answer by solving the system of equations in a different way. ©Curriculum Associates, LLC Copying permitted for classroom use. GRADE 8 LESSON 14 Page 2 of 2 © 2020 Curriculum Associates, LLC. All rights reserved. 27 Thursday, May 7th Name (s) __________________________________ Class__________ Date_________________________ MULTI-STEP EQUATIONS READ & UNDERSTAND (Highlight or circle What do we know? (List the important facts important keywords.) needed for this problem to be solved.) The table shows ticket prices for an ___________________________________ amusement park for members and ___________________________________ non-members. For how many tickets ___________________________________ ___________________________________ is the cost same for members and What do we want to find out? (Explain in non-members? your own words.) Ticket Prices ___________________________________ Non- Members ___________________________________ Members ___________________________________ Membership Fee $30 None Ticket Price $3 $6 ___________________________________ SOLVE (Answer the problem. Show all work.) EXPLAIN (State your answer. Give details. Explain what you did and justify your steps.) ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ©Exceeding the CORE Question # 1 more copies does it need to sell to receive the award? the toreceive sell need to it does more copies 10,00 itsells when award an receives An album receive the award. albumThe must sell 2.32x10 2.32 2,320,000 10,000,000 ©Exceeding the CORE the ©Exceeding s problem the word Read ________________________ (s) Name hare a strategy this student could use to prevent th couldprevent use to thisa strategy student hare x 10 4 Incorrect Work/Soluti Correct Work/ Solution - 4 zeroes 7,680,000 Error Analysis . Look at the students work and solution. Identify the error and describe it. it. and describe error and the Look at work solution. Identify the students ______________ Class_______________ ______________ = 4 2,320,000 more to copies on e same error in the future. in the future. same error e 0,00 – SCIENTIFIC NOTATION 0 copies. An album has sold sold has An album copies. 0 Write your answer in scientific notation. scientific in answer your Write Friday, May 8th Identify Share aStrategy Date_______________________________ and Explain 7,680, Solve the problem correctly. Then Solve 000 copies. How many How copies. 000 Question # Question the Error 1 Georgia Studies Packet: Week 4- May 4th-8th The American Revolution A Georgia Perspective The American Revolution A Georgia Perspective! The American Revolution was a time of upheaval and conflict. Families were divided, neighbor fought against neighbor. Colonists were forced to take sides. What exactly was this conflict all about? America was rebellious, agitated, and ready for a fight. Many colonists were ready to take a stand, to risk their lives for a cause. But what cause you might ask? The answer lies in the pages before you, so read along to discover not only America’s perspective of this event, but Georgia’s as well. Directions: This story is interactive; you will use this booklet and a handout. You will complete the handout as you read the story. Let us begin! Georgia on My Mind….. Many years had passed since Georgia became a colony. As a matter of fact, Georgia had only been a colony for 42 years before the American Revolutionary War broke out. That’s a really young colony! We can’t forget all of the important people that helped Georgia become successful. People like James Oglethorpe, Tomochichi and the Yamacraws, Mary Musgrove, as well as the Salzburgers, Highland Scots, and its 3 governors, namely Sir James Wright. All helped Georgia survive and thrive! Life was tough for the early colonists. Just imagine what it must have been like: hard labor in the fields, hot, humid climate, and conflict with Indians. They sure were determined to survive! Let’s review some important events that led up to the Revolutionary War. Are you ready? Let’s begin! Savannah Colony Page 2 of 14 Day 1: Monday, May 4th- Read pages 3-5 and answer all prompts on the attached activity sheet. Everybody wants the land… Colonists were busy working the land, but Indians continued to attack them. On top of that, France and Spain claimed part of the land as well. Everybody wanted the land! The conflict became so great that a war broke out called the French and Indian War, or the Seven Years War, as it was happening worldwide. It was Britain and the colonists against France and the Indians. Spain later joined sides with the French. Why would all of these countries fight over this land? What did this land have that was so valuable? Can you guess? It was over fur trade and resources. Fur trading was a big business and both France and America wanted control over it, especially in the Ohio River valley. Of course, these countries wanted land for settlement as well. And that’s not all – it seemed a lot of people wanted the British out of the area. The Indians AND the Spanish sure did, so they joined in to help France fight against Britain. The French and Indian War was a brutal war, as Indians would attack settlements and often murder entire families, scalping them in the process. It was a tough time to be a colonist. Knowing the prior history that these European countries had with one another, do you feel this war was necessary for conflict to be resolved? Be prepared to discuss in class. The war raged on for seven years. It finally ended with France and Spain signing the Treaty of Paris in 1763. Not only was the war over, but Great Britain now had much more land to grow and colonize. Even though Georgia was not directly involved in the war, its borders expanded to the Mississippi River. I’m sure the colonists were excited knowing that Spain would no longer be a threat to the south. Study the map. What territory did Great Britain gain from the Treaty of Paris? Answer on your handout. What land did Britain gain? It gained control of the land east of the Mississippi River, and south of the St. Mary’s River. Spain gave up Florida, as they were an ally to France. But the Spanish kept some territory west of the Mississippi River and in Central and South America. The land gain was great news for Britain, but they had spent a lot of money on the war and no longer had the finances to protect the colonists from future Indian attacks.