I enjoyed this much more than a boring re-teaching of exponent rules. They are intentionally designed to look very similar. However, I find that many of my Algebra 2 students freeze up when they see negative exponents!
Example: RULE 2: Negative Property. RULE 7: Power of a Quotient Property. Students are given a grid of 20 exponent rule problems. 7 Rules for Exponents with Examples. Perfect for teaching & reviewing the laws and operations of Exponents. This module will review the properties of exponents that can be used to simplify expressions containing exponents. If they were confused, they could reference the exponent rules sheet I had given them. ★ These worksheets cover all 9 laws of Exponents and may be used to glue in interactive notebooks, used as classwork, homework, quizzes, etc. Use the product property and add the exponents of the same bases: p to the power of 6 plus negative 9 end superscript q to the power of negative 2 plus 2 end superscript. Simplify the exponents: p cubed q to the power of 0. Y to the negative 7. Instead of re-teaching the rules that they have all seen before (and since forgotten), I just handed each student an exponent rules summary sheet, this exponent rules match-up activity, and a set of ABCDE cards printed on colored cardstock.
Definition: Any nonzero real number raised to the power of zero will be 1. We can read this as 2 to the fourth power or 2 to the power of 4. I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered.
I had each student work out the first problem on their own. Use the product property in the numerator. Though this was meant to be used as a worksheet, I decided to change things up a bit and make it a whole-class activity. Y to the 14 minus 20 end superscript. I thought it would make the perfect review activity for exponent rules for my Algebra 2 students. This is called the "Match Up on Tricky Exponent Rules. " I think my students benefited much more from it as well.
★ Do your students need more practice and to learn all the Exponent Laws? I explained to my Algebra 2 students that we needed to review our exponent rules before moving onto the next few topics we were going to cover (mainly radicals/rational exponents and exponentials/logarithms). I have never used it with students, but you can take a look at it on page 16 of this PDF. If you have trouble, check out the information in the module for help.
Definition: When dividing two exponents with the same nonzero real number base, the answer will be the difference of the exponents with the same base. Definition: If an exponent is raised to another exponent, you can multiply the exponents. Begin fraction: 1 over y to the 6, end fraction. I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. For each rule, we'll give you the name of the rule, a definition of the rule, and a real example of how the rule will be applied. This gave me a chance to get a feel for how well the class understood that type of question before I worked out the question on my Wacom tablet. I have linked to a similar activity for more basic exponent rules at the end of this post! In this article, we'll review 7 KEY Rules for Exponents along with an example of each. Simplify the expression: open parenthesis p to the power of 9 q to the power of negative two close parenthesis open parenthesis p to the power of negative six q squared close parenthesis. We discussed common pitfalls along the way. Simplify the expression: Open parenthesis begin fraction 2x cubed over 3y end fraction close parenthesis to the power of 4. Line 3: Apply exponents and use the Power Property to simplify.
If you are teaching younger students or teaching exponent rules for the first time, the book also has a match-up activity on basic exponent rules. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. Definition: If the quotient of two nonzero real numbers are being raised to an exponent, you can distribute the exponent to each individual factor and divide individually. These worksheets are perfect to teach, review, or reinforce Exponent skills! I did find a copy of the activity uploaded online (page 7 of this pdf). Exponent rules are one of those strange topics that I need to cover in Algebra 2 that aren't actually in the Algebra 2 standards because it is assumed that students mastered them when they were covered in the 8th grade standards. Tips, Instructions, & More are included.
Definition: Any nonzero real number raised to a negative power will be one divided by the number raised to the positive power of the same number. I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. An exponent, also known as a power, indicates repeated multiplication of the same quantity. Use the quotient property. Begin fraction: 16 x to the power of 12 over 81 y to the power of 4, end fraction. Begin Fraction: Open parenthesis y to the 2 times 3 end superscript close parenthesis open parenthesis y to the 2 times 4 end superscript close parenthesis over y to the 5 times 4 end superscript end fraction. Subtract the exponents to simplify. Each of the expressions evaluates to one of 5 options (one of the options is none of these). It was published by Cengage in 2011. Exponents can be a tricky subject to master – all these numbers raised to more numbers divided by other numbers and multiplied by the power of another number. Raise each factor to the power of 4 using the Product to a Power Property. For all examples below, assume that X and Y are nonzero real numbers and a and b are integers. Write negative exponents as positive for final answer.
RULE 4: Quotient Property. Simplify the expression: Fraction: open parenthesis y squared close parenthesis cubed open parenthesis y squared close parenthesis to the power of 4 over open parenthesis y to the power of 5 close parenthesis to the power of 4 end fraction. Student confidence grew with each question we worked through, and soon some students began working ahead. RULE 3: Product Property. Students knew they needed to be paying extra close attention to my explanations for the problems they had missed.
The architect of the market complex was Appollodorus of Damascus, who had been a favorite choice of the imperial elite since the reign of Vespasian. All attractions near Circus Maximus. 7 m asl on the Capitolium proper.
The garden, as it currently appears, was built in 1932 by the architect Raffaele De Vico. All about Ancient Rome. One of the most beautiful and luxurious pubic baths in ancient Rome begun by the emperor Septimius Severus in AD 206. He had accompanied Trajan on a number of his expeditions, and was trusted by the emperor. Arch of Septimius Severus has survived its 1. 08km from Circus Maximus. It is in the highest of the seven hills of point Rome, the Capitoline Hill. Its buildings are pressed close to the slope of the Quirinal Hill, which was extensively excavated during the height of the Roman era. Septimius Severus Arch. It commemorates the victories of his father Vespasian and brother Titus in the Jewish War. The site is now mainly a large open-air museum while the Palatine Museum houses many finds from the excavations here and from other ancient Italian sites. The Arch of Constantine is an arch in Rome, found between the Colosseum and the Palatine Hill. These included the addition of extra floors as well as some defensive additions. This measured about 100 by 25 feet, and is believed by some historians to have been a concert venue, perhaps also with spaces for teaching, speeches or rhetoric competitions.
The theatre of Marcellus was the largest and most important theatre in Rome and completed in the late 1st century BCE during the reign of Augustus. The Arch of Janus is a four-faced marble arch, built in honor of Emperor Constantine or perhaps... One of the most gorgeous monuments of Rome is the Aurelian Walls, an encircling ring which is still... It runs in a straight line from the Piazza Venezia to the Colosseum. It is considered to be Rome's first "shopping center". In about 1200, a militia tower was added to the building. A convent dedicated to St. Caterina de Siena was built on the site in 1574, and this covered part of the market complex for more than 300 years. The entire complex held over 150 tabernae, many of which boasted mosaics showing the goods they sold. The market remained in active commercial use for around two centuries. Most commercial activity was carried on at the lower levels, where goods including wine, oil, fruit, and vegetables could be bought and sold. 20 Attractions to Explore Near Circus Maximus. Citizens of EU countries (aged 18 – 24): € 11 ( US$ 11.
It was constructed to offer public access to the view from the side of the hill, creating a new ''belvedere'', to be added to the existing viewpoints in Rom. Other sets by this creator. Trajan's Market is the name given to a complex of ruined structures in Rome. Excavation and restoration over many years has brought considerable insight into the commercial and operational life of Ancient Rome. Both apartments and shops were constructed on multiple levels, some of which survive to this day. There has been a great deal of archeological excavation on both sides of the road, as significant Imperial Roman relics remain to be found underneath it. There were also large open-air swimming pools. D the Roman Senate... Erected in the valley between the Palatine and Aventine hills, the Circus Maximus (Circo Massimo in... Tomb for an emperor, fortress dungeon, treasure chamber and museum – Castel Sant'Angelo... There were three main bath chambers: the frigidarium, or cold room; the caldarium, or hot room; and the tepidarium, or lukewarm room. Campidoglio is also known as Monte Capitolino, is one of the seven hills on which Rome was founded.
Terms in this set (20). Via del Circo Massimo, 00186 Roma RM, Italy. Column of Marcus Aurelius was erected between 180 (the date of the emperor's death) and 196 A. Recommended textbook solutions. Altar of the Fatherland. This white marble building, 81 meters high, hides many allegorical meanings that geographically represent the whole of Italy. Which was built by Emperor Nero in the heart of ancient Rome.