Answer:Eureka Math Parent Guide
A GUIDE TO SUPPORT PARENTS AS THEY WORK WITH THEIR STUDENTS IN MATH.
GRADE 8
MODULE 3
GRADE FOCUS
Eighth grade mathematics is about (1) formulating
and reasoning about expressions and equations, with a
special focus on linear equations and systems of linear
equations; (2) grasping the concept of a function and
using functions to describe quantitative relationships; (3)
analyzing two- and three-dimensional space and figures
using distance, angle, similarity, and congruence, and
understanding and applying the Pythagorean Theorem.
• Module 1: Integer Exponents and Scientific Notation
• Module 2: The Concept of Congruence
» Module 3: Similarity
• Module 4: Linear Equations
• Module 5: Examples of Functions from Geometry
• Module 6: Linear Functions
• Module 7: Introduction to Irrational Numbers Using Geometry
LET’S CHECK IT OUT!
MODULE 3 FOCUS
In this 14-lesson module, students learn about dilation
and similarity and apply that knowledge to a proof of the
Pythagorean Theorem based on the Angle-Angle criterion
for similar triangles. Students learn the definition of a
dilation, its properties, and how to compose them. One
overarching goal of this module is to replace the common
idea of “same shape, different sizes” with a definition
of similarity that can be applied to shapes that are not
polygons, such as ellipses and circles.
MORE SPECIFICALLY, CHILDREN WILL LEARN HOW TO:
• Use physical models, transparencies or geometry
software to understand congruence and similarity.
• Describe the effect of dilations, translations, rotations,
and reflections on two-dimensional figures using
coordinates.
• Understand that a two-dimensional figure is similar to
another if the second can be obtained from the first by
a sequence of rotations, reflections, translations.
• 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.
• Explain a proof of the Pythagorean Theorem and use
the Theorem to determine unknown side lengths
in right triangles in real-world and mathematical
problems in two and three dimensions.
TOPIC OVERVIEW
Topics are the lessons within a module that help children
master the skills above. Here are the lessons that will
guide your child through Module 3:
• Topic A: Dilation
• Topic B: Similar Figures
• Topic C: The Pythagorean Theorem
WORDS TO KNOW
• Dilation: Dilation is where the polygon grows or
shrinks but keeps the same overall shape. It’s a little
like zooming in or out on a camera.
• Similar: Two geometrical objects are called similar if they
both have the same shape, or one has the same shape
as the mirror image of the other. More precisely, one
can be obtained from the other by dilation (enlarging or
shrinking), possibly with additional translation, rotation
and reflection. This means that either object can be
rescaled, repositioned, and reflected, so as to coincide
precisely with the other object.
• Congruence: Two figures or objects are congruent if
they have the same shape and size, or if one has the
same shape and size as the mirror image of the other.
In the picture below, the two triangles on the left are
congruent, while the third is similar to them. The last
triangle is neither similar nor congruent to any of the
others because the angles are not the same. Note that
congruence permits alteration of some properties,
such as location and orientation, but leaves others
unchanged, like distance and angles.
Explanation:
Answer:Eureka Math Parent Guide
A GUIDE TO SUPPORT PARENTS AS THEY WORK WITH THEIR STUDENTS IN MATH.
GRADE 8
MODULE 3
GRADE FOCUS
Eighth grade mathematics is about (1) formulating
and reasoning about expressions and equations, with a
special focus on linear equations and systems of linear
equations; (2) grasping the concept of a function and
using functions to describe quantitative relationships; (3)
analyzing two- and three-dimensional space and figures
using distance, angle, similarity, and congruence, and
understanding and applying the Pythagorean Theorem.
• Module 1: Integer Exponents and Scientific Notation
• Module 2: The Concept of Congruence
» Module 3: Similarity
• Module 4: Linear Equations
• Module 5: Examples of Functions from Geometry
• Module 6: Linear Functions
• Module 7: Introduction to Irrational Numbers Using Geometry
LET’S CHECK IT OUT!
MODULE 3 FOCUS
In this 14-lesson module, students learn about dilation
and similarity and apply that knowledge to a proof of the
Pythagorean Theorem based on the Angle-Angle criterion
for similar triangles. Students learn the definition of a
dilation, its properties, and how to compose them. One
overarching goal of this module is to replace the common
idea of “same shape, different sizes” with a definition
of similarity that can be applied to shapes that are not
polygons, such as ellipses and circles.
MORE SPECIFICALLY, CHILDREN WILL LEARN HOW TO:
• Use physical models, transparencies or geometry
software to understand congruence and similarity.
• Describe the effect of dilations, translations, rotations,
and reflections on two-dimensional figures using
coordinates.
• Understand that a two-dimensional figure is similar to
another if the second can be obtained from the first by
a sequence of rotations, reflections, translations.
• 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.
• Explain a proof of the Pythagorean Theorem and use
the Theorem to determine unknown side lengths
in right triangles in real-world and mathematical
problems in two and three dimensions.
TOPIC OVERVIEW
Topics are the lessons within a module that help children
master the skills above. Here are the lessons that will
guide your child through Module 3:
• Topic A: Dilation
• Topic B: Similar Figures
• Topic C: The Pythagorean Theorem
WORDS TO KNOW
• Dilation: Dilation is where the polygon grows or
shrinks but keeps the same overall shape. It’s a little
like zooming in or out on a camera.
• Similar: Two geometrical objects are called similar if they
both have the same shape, or one has the same shape
as the mirror image of the other. More precisely, one
can be obtained from the other by dilation (enlarging or
shrinking), possibly with additional translation, rotation
and reflection. This means that either object can be
rescaled, repositioned, and reflected, so as to coincide
precisely with the other object.
• Congruence: Two figures or objects are congruent if
they have the same shape and size, or if one has the
same shape and size as the mirror image of the other.
In the picture below, the two triangles on the left are
congruent, while the third is similar to them. The last
triangle is neither similar nor congruent to any of the
others because the angles are not the same. Note that
congruence permits alteration of some properties,
such as location and orientation, but leaves others
unchanged, like distance and angles.
hope it helps thanks
During the time period of the Vietnam war, ___ people were killed on US highways that were killed in action in Vietnam.
Vietnam's official estimate of the number of people killed in the Vietnam War was released in 1995: approximately 1,100,000 North Vietnamese and Viet Cong fighters and up to 2,000,000 civilians on both sides. Between 200,000 and 250,000 South Vietnamese soldiers died, according to the U.S. military.
The Vietnam War, which lasted from 1954 to 1975, was a long conflict in which the communist government of North Vietnam and its allies in South Vietnam, the Viet Cong, faced off against the government of South Vietnam and its main ally, the United States. The war, also known as the "American War" in Vietnam (or, more accurately, the "War Against the Americans to Save the Nation"), was both a manifestation of the Cold War between the United States and the Soviet Union and their respective allies and a larger regional conflict (see the Indochina Wars). The desire of North Vietnam, which had defeated the French colonial administration of Vietnam in 1954, to unite the entire country under a single communist regime based on those of the Soviet Union and China was at the heart of the conflict. On the other hand, the South Vietnamese government fought to keep Vietnam closer to the West. Active combat units were introduced in 1965, and U.S. military advisers, which were present in small numbers throughout the 1950s, were introduced on a large scale in 1961. More than 500,000 members of the United States military were stationed in Vietnam by 1969.
To know more about Vietnam War visit
brainly.com/question/30134557
#SPJ4
what are the difference between National selection and selective breeding
Answer:
natural selection happens naturally, but selective breeding only occurs when humans intervene.
What caused Japan to become angry with the United States?
Japan had three major reasons to get angry with the US- its lack of resources, its political self-interests, and America's Embargo Policy.
It was around the time of the World War when Japan's economy was in dire states and adding to the injury was the fact that the United States wasn't really helping in any manner. Rather, it was at odds with Japan because of its monopoly over the Chinese resource market.
The US also wanted that embargoes on oil and other essential goods would somehow or the other lead to a halt in Japan's expansionism. All these reasons convinced Japan that it was time it hit back at the US in response to their interference.
Learn more about Japan in World War on
https://brainly.com/question/8607919?referrer=searchResults
#SPJ4
Who would southern colonists have seen as the best candidate for serving us as the town's judge? A) a tailor B) a wealthy planter C) a newspaper printer
Southern colonists have seen as the best candidate for serving us as the town's judge a wealthy planter.
A settler is someone who has moved to a new location and made a permanent home there, generally in order to colonize it. A pioneer is a settler who moves to an area that was previously deserted or sparsely populated.
Sedentary peoples, as opposed to nomadic peoples, may shift settlements periodically within customary areas. Settlement may be a violent process that involves dispossessing already established inhabitants inside the contested region. Settlements are sometimes supported by governments or major countries. Settlements might make it difficult for native people to continue working.
Hence the correct answer is B
To know more about Colonists here-
https://brainly.com/question/10054396
#SPJ4
What was the nature of the United States involvement and why was the Pacific Front so difficult?
Answer:
Leapfrogging. Leapfrogging was a military strategy employed by the Allies in the Pacific War against the Axis powers (most notably Japan) during World War II. It entailed bypassing and isolating heavily fortified Japanese positions while preparing to take over strategically important islands.
Explanation:
PLS PLS PLS MARK AS BRAINLYST!!
When the western plantation owners asked that Hawaii be annexed by the U. S. ,
Queen Liliuokalani's representative told President Cleveland that Hawaii was being
wronged. The President investigated, and told the planters that Queen Liliuokalani
was the ruler, not them. The president's orders were ignored.
What other event in American history do these events seem similar to?
Worcester v Georgia, when the U. S. Supreme Court said that the Cherokees
could stay on their land, but they were removed anyway.
The Dred Scott decision, which stated no person of African heritage could ever
be a citizen of the U. S. , and that states could regulate slavery.
The U. S. Declaration of Independence, which stated all men were created equal
and had the right to life, liberty and pursuit of happiness.
The subsequent events that led to Hawaii becoming a state are as follows: Hawaii's monarch was Queen Liliuokalani. The Hawaiian monarchy was abolished.
US annexation of Hawaii. Hawaii acceded to statehood. How did Hawaii get its own statehood? Queen Liliuokalani, who ruled Hawaii, became concerned about the influence of American businesses and introduced measures to counter that influence. They replied by toppling the monarchy of Hawaii and inviting the US to conquer the country. The United States complied, and after annexing Hawaii, the way was cleared for its statehood. According to what transpired, Hawaii became a state after the following: Hawaii was controlled by Queen Liliuokalani. The Hawaiian dynasty was overthrown. US annexation of Hawaii. Hawaii acceded to statehood. n Hawaii, the dynasty was deposed. Annexed by the US is Hawaii. Hawaii became a state.
Learn more about Hawaii here:
https://brainly.com/question/28651833
#SPJ4
WHY DID FERDINAND AND ISABELLA DECIDE TO EXPEL THE JEWS AND MOORS?
heyy! please help i’ll give brainliest asap
Answer:
First one.
Explanation:
This is the site I got the info from: http://www.primaryhomeworkhelp.co.uk/egypt/farming.htm
Will give brainliest:) 3 Spanish questions
Answer:
BACTRUEExplanation: I'm not sure about the last one but the first 3 are correct
How were the human costs of war military and civilian similar to each other and how are they different
Answer:
The war is of top 10 us history of men, 3,000 of men fought
Explanation:
How did the United States exert its influence in Cuba? Was it direct or indirect
Answer: Indirectly
Explanation: The United States, however, has also indirectly controlled the Caribbean country using Cuban native elitists as politicians through the Cuban government, while working for the United States. In the years of 1880-1930, Cuba demands the right to reform and revolutionize its country as it gains independence from the United States.
Explain how Patrick Henry alerts his listeners to the urgency of his message. What actions being taken by the British in 1775 requires an immediate response from the colonists, according to Henry? Support your answer with textual evidence.
Imperative statements can create a sense of urgency. These kind of urgent words are used by Patrick Henry to convince his audience that they must act upon his advise right away or face the repercussions.
Why does Henry emphasise the necessity of the present?He emphasises the importance of the present because if they do not start fighting for independence as as soon as possible, they might never succeed. Patriotic American Patrick Henry took part in the Constituent Assembly. In an effort to convince his audience to launch war on England in 1775, he appealed to both logic and passion.
His argument was reinforced by his explanation for appearing as well as by his high ideals. On March 23, 1775, Patrick Henry persuaded the colonists to oppose the British using rhetorical questions, one-word sentences, allusion, imagery, and other strategies.
To know more about Patrick Henry, visit:
https://brainly.com/question/17643627
#SPJ1
What does the 14th Amendment say about religion?
The Supreme Court has determined that states must protect fundamental rights including the First Amendment's ban on the establishment of religion under the 14th Amendment, which was passed in 1868.
What does the 14th Amendment state in plain English?The Fourteenth Amendment, which was passed by the Senate on June 8, 1866, and ratified two years later on July 9, 1868, extended the provisions by granting citizenship to all people "born or naturalized in the United States," including formerly enslaved people. It also guaranteed all citizens "equal protection under the laws." After the Civil War, several southern states actively passed legislation restricting the rights of former slaves. In response, Congress passed the 14th Amendment, which was intended to put restrictions on state power and safeguard civil rights.
To know more about Amendment visit:
https://brainly.com/question/12124635
#SPJ4
Use the list to answer the following question.
?
Property Tax
• Sales Tax
Special Purpose Local Option Sales Tax
Which of the following would be the BEST title for the list?
O A. Sources of Funding for National Government
OB. Sources of Funding for Federal Government
O C. Sources of Funding for Local Government
OD. Sources of Funding for Central Government
Answer: C. Sources of Funding for Local Government
Explanation:
Property tax and sales tax fund local governments.
2. What are the two ways the Industrial Revolution caused the need for Europe to expand and take colonies
Answer:
Answer Below
Explanation:
Industrial revolution led to growth of industries and trade. Industries demanded raw materials which had limited availability in Europe. This led the Europeans to seek out new colonies which had untapped natural resources and therefore cheap raw materials.
Industrialisation resulted in mass production of goods. Goods thus produced needed a market and the Europeans took these goods to their colonies, which provided a ready market.
The image on the left is called a
Its purpose was to
The Epic of Gilgamesh is believed to be the first
The image on the left is called a Chogha Zanbil. It is a historic Elamite complex in the Iranian province of Khuzestan.
What was the Epic of Gilgamesh believed to be?The Epic of Gilgamesh is believed to be the first epic poem in world literature. It was written in ancient Mesopotamia, most likely in the Sumerian language, around 2000 BCE.
The story tells of the hero Gilgamesh, the king of Uruk, and his journey to seek immortality after the death of his close friend Enkidu. The epic explores themes of mortality, the human condition, and the search for meaning in life. It has been translated into many languages and continues to be studied and appreciated today.
To know more about Epic of Gilgamesh, visit:
brainly.com/question/30128255
#SPJ1
Answer:the 1st one is zinggurat and the 2st one is honer the gods and 3rd is written epic
Explanation: hop this helps
1. List three developments and what effects of violence were caused against African Americans in the South.
Answer and Explanation:
I believe you are referring to the violence faced by African-Americans during the Southern Reconstruction, which was the period after the American Civil War, when the federal government determined how southern states should be rebuilt and dominated. During this period, African-Americans stopped being slaves, which has already stimulated the ire of the white population. However, events such as the integration of African-Americans in society, political participation and presence in educational institutions, stimulated even more anger, as the white population could not support that blacks had the same social value as them and feared, that the whole society was dominated by blacks. For this reason, they initiated several acts of violence against blacks, which terrified the African American population and created racial instability, racism and inequalities in society.
Why did Achilles call the Greek leaders to an assembly?
Answer:
During one of the Achaian (Greek) army's many raids on the cities located near Troy, the Achaians captured two beautiful enemy maidens, Chryseis and Briseis. Usurping Agamemnon's authority, Achilles calls an assembly of the army, and he suggests that a soothsayer be called upon to determine the cause of Apollo's anger.
how did African Americans help the unionin the war effort
Answer:
Black soldiers served in artillery and infantry and performed all noncombat support functions that sustain an army, as well. Black carpenters, chaplains, cooks, guards, laborers, nurses, scouts, spies, steamboat pilots, surgeons, and teamsters also contributed to the war cause
Explanation:
What is a short credit history?
Answer:
Explanation:
How did countries ready their militaries for World War I? Select three answers.
by setting up military schools
by requiring colonies to participate
by drafting soldiers into the military
by encouraging civilians to volunteer
by offering higher wartime pay
PLEASE HELP ME ASAP I AM BEING TIMED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
World War I slowly escalated into a world-wide conflict since European powers were trying to be extremely prudent and diligently attempting to avoid war.
True/False
Answer:
True
Explanation:
Answer: I think its True
To what extent did George W. Bush fulfill his domestic policy goals?
for tuck -f freeGeorge Washington bush fufill his domestic policy goal
Explanation:
terrro tuppi lekh
Why does Marks question whether Columbus and de Gama's voyages marked the emergence of the modern world or a continuation of what was already happening
Marks question whether Columbus and de Gama's voyages started the emergence of the modern world or a continuation of what was already happening as they were not the first Europeans to travel to new regions.
Not the first explorer to arrive in the Americas, Columbus was one of the last. Leif Eriksson and his brave band of Vikings arrived in North America and founded a town 500 years before Christopher Columbus. Around the year 1000 A.D., the Vikings travelled from the British Isles to Greenland, where they founded a colony before moving on to Labrador, the Baffin Islands, and subsequently Newfoundland.
This was the first European attempt to colonise the New World. The Americas were not discovered by Christopher Columbus, and he was not the first European to travel to the "New World." On the American continents, however, his expedition marked the beginning of centuries of exploration and exploitation.
Know more about Columbus here
https://brainly.com/question/18492277
#SPJ4
Why was the Lend-Lease Act created ?
After two months of debate, Congress passed the Lend-Lease Act, which satisfied Great Britain's pressing supply demands while allowing the United States to prepare for war while retaining its official neutrality.
What was the Lend-Lease Act?This legislation, which was passed on March 11, 1941, established a system that would permit the US to lend or lease war supplies to any country that was judged "essential to the defense of the US."
Between 1941 and 1945, the United States provided food, oil, and other supplies to the United Kingdom, the Soviet Union, and other Allies under the Lend-Lease policy, officially known as the Lend-Lease Act and proposed as An Act to Promote the Defense of the United States.
After two months of discussion, Congress approved the Lend-Lease Act, which allowed the United States to prepare for war while maintaining its formal neutrality and met Great Britain's urgent supply needs.
Therefore, after two months of debate, Congress passed the Lend-Lease Act, which satisfied Great Britain's pressing supply demands while allowing the United States to prepare for war while retaining its official neutrality.
Know more about the Lend-Lease Act here:
https://brainly.com/question/1126649
#SPJ4
Sent ______ to King George asking him to respect the colonists' rights as British citizens. Organized a __________ of British goods and banned trade with Britain.
Answer:
A letter; boycott.
Explanation:
The American Revolutionary War was a war of independence of the United States of America that was fought between the 19th of April, 1775 and 3rd of September, 1783. The war started when the delegates from the thirteen (13) American colonies in Congress (First continental congress) revolted against the Great Britain over their lack of representation in the colonies and refusal to give consent to parliament's taxation such as Stamp Act and Townshend Acts.
During the Revolutionary Period, majority of the residents of East and West Florida were loyalists; thus, they refused or objected to sending representatives to any of the sessions of the continental congress that comprised of the thirteen (13) North American colonies. These loyalists were commonly referred to as Royalists, Tories, or King's men during the Revolutionary Period. The loyalists (residents of East and West Florida) went around raiding nearby states and as such were referred to as group of American colonists who were inimical to the liberty of America by the Patriots.
The First Continental Congress (Association) in 1774 sent a letter to King George III asking him to respect the colonists' rights as British citizens. Organized a boycott of British goods such as British tea and banned trade with Britain.
Why do you think the Latino population in places like Alaska, Minnesota, and Oklahoma is growing faster than in other parts of the United States?
Answer:
Latino population in places like Alaska, Minnesota, and Oklahoma is growing faster than in other parts of the United States because of early immigration and high fertility rate
Explanation:
The Southwest states Alaska, Minnesota, and Oklahoma have higher Latino/ Hispanic population growth as compared to other part of America because these states have a strong presence of Hispanic heritage. Also these states were part of Spain’s Mexican colony that were established before England established its colonies. These states have large contingency of Hispanic residents which are descendants of pre–United States settlers. The high Latino growth is because of increased immigration from Latin America to the United States. Another major reason is that Hispanic population having higher fertility rates
Which statement best describes the Cold War?
a time of peace and cooperation between the United States and the Soviet Union
a dangerous period of rivalry between the United States and the Soviet Union
a long series of wars between the United States and the Soviet Union
a war in which the Soviet Union defeated the United States and ended communism
Answer:
Hello!
The answer is a dangerous period of rivalry between the United States and the Soviet Union
Hope this helps!! :)
This is an excerpt from a speech by Soviet Premier Nikita Khrushchev in 1956 in which he explains his point of view on U.S. actions.
The inspirers of the “cold war” began to establish military blocs—the North Atlantic bloc, SEATO, and the Baghdad pact. [They claim] they have united for defense against the “communist threat.” But this is sheer hypocrisy! We know from history that when planning a re-division of the world, the imperialist powers have always lined up military blocs. Today the “anti-communism” slogan is being used as a smoke screen to cover up the claims of one power for world domination. The United States wants, by means of blocs and pacts, to secure a dominant position in the capitalist world. The inspirers of the “position of strength” policy assert that it makes another way impossible because it ensures a “balance of power” in the world. [They] offer the arms race as their main recipe for the preservation of peace! It is perfectly obvious that when nations compete to increase their military might, the danger of war becomes greater, not lesser. Capitalism will find its grave in another world war, should it unleash it.
What is Khrushchev’s view of U.S. actions? According to Khrushchev what will happen?
Answer:
Khrushchev said the U.S. was setting up military blocs so that it could gain a dominant position in the capitalist world not out of a fear of communism, as the U.S. had said.
Explanation:
Which action of President Nixon during the Watergate Scandal caused a constitutional crisis? A He claimed executive privilege. B He claimed his large election mandate justified his actions. C He refused to comply with the special prosecutor and instead fired him. D He answered all questions with "no comment."
Giving prosecutors access to hidden recordings of oval Office conversations is option B.
He didn't want to turn in the tapes of the private discussions that are secretly taped in the oval office for security reasons. When he finally turned them in, several of the recordings' segments were quiet or scrambled, making it impossible to understand what he had to say. He finally submitted his resignation, and the succeeding President later absolved him of his wrongdoing. The 37th president of the United States of America was Richard Nixon. From 1969 to 1974, he presided over the country. Before being elected as president, Nixon served as the US's 36th vice president. America was defeated for the first time in history during the Vietnam War, which Nixon is credited with ending. Nixon made a pledge to his constituents that if elected president, he would put an end to the conflict, and he did it while withdrawing from Vietnam.
Learn more about Richard Nixon here:
https://brainly.com/question/1286020
#SPJ4
Explain the meaning of the "great departure" identified by Marks. What is the historical significance of this development? What are its implications for the future?
Answer:
it may be i a time where traveling was at its peak.
Explanation: