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Curriculum
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Curriculum: Math: In math, we will be studying the basics of multiplication-probability, addition, subtraction, multiplication, division, and estimation. These are all skills that are essential to be successful in the math program. We will also be working on multi-step word problems throughout the year. EVERYDAY MATH COMPONENTS Math Message Establish the mathematical focus of the day Have varied uses: practice, review, introduction of new concepts Math Boxes Provide on-going review Provide a quick assessment tool Journals Referenced to specific lessons Provide open-ended activities Provide opportunities to "write math," to record mathematical experiences and ideas Mental Math and Reflexes Provides practice in mental computation Strengthens "number sense" (place value, standard measurement. pattern recognition, etc.) Study Links Facilitate parent involvement Encourage students to take initiative and responsibility Reinforce newly learned skills and concepts . . . or Prepare students for an upcoming lesson Provide enrichment Games Provide frequent practice in a highly motivational, highly appealing format Demonstrate that math is fun Develop strategic and higher order reasoning skills Assessment Teacher observation (math boxes, explorations, game play, mental math and reflexes) Assignments that ask students to explain, write about, or illustrate their work | Everyday Math Stuy Guides | UNIT 1 STUDY GUIDE 1. Know the definitions of the following words: | ** | columns - vertical lines of data | | ** | rows - horizontal lines of data | | ** | arrays | | ** | factors | | ** | products | | ** | prime | | ** | composite | | ** | square numbers | 2. Be able to find all the factors of a number by making arrays or making a rainbow factor. 3. Be able to find the prime factorization of a number. (journal p. 24, student reference book p. 12) 4. Be able to square a number (ex. 42 = 16) and unsquare (tell the square root of) a number. (ex. the square root of 16 is 4) (p. 6 in student reference book) 5. Tell whether a number is odd or even, prime or composite, or is square. (p. 4, 12, and 214 in student reference book) 6. Be able to use the divisibility rules on p. 11 of student reference book. UNIT 2 STUDY GUIDE 1. Know the following words and definitions: | ** | maximum | | ** | minimum | | ** | range | | ** | mode | | ** | median | | ** | variables | | ** | open sentence | 2. Be able to add and subtract whole numbers and decimals. 3. Be able to find magnitude estimates of products like the ones on p. 47 in your journals. The be able to multiply to find the actual products. ex. 4.5 * 0.6 46 * 414 5 * 1 = 5 50 * 400 = 20,000 4. Know place value - thousandths through millions place. 5. Be able to read a word problem and tell (a) what numbers are needed to solve the problem, (b) what question do you want to answer, (c) white an open sentence - with a variable, (d) solve it. ex. - Joe has 46 baseball cards. He gave 12 to his brother who had only 10. How many cards does Joe have now? a. What numbers do you need to solve? ___________________ b. What question do you want to answer? ___________________ c. Open sentence ______________________________________ d. solution _______________ e. answer ____________(unts) 6. Be able to round numbers to a give place from humdredths to thousandths. ex. round 27.46 to the nearest tenths - 27.5 round 467.8 to the nearest hundreds - 500 UNIT 3 STUDY GUIDE Please know the definitions of the following: | ** | Acute Angles - less than 90 degrees | | ** | Right Angles - 90 degrees exactly | | ** | Obtuse Angles - greater than 90 degrees, less than 180 degrees | | ** | Reflex Angles - greater than 180 degrees | | ** | Adjacent Angles - angles that are "next" to each other, they share a side and a vertex | | ** | Opposite/Vertical Angles - When two lines intersect, four angles are formed. The angles opposite each other are called vertical or opposite angles. | | ** | Polygons - closed figures with straight sides | | ** | Triangles - polygon with 3 sides and 3 angles | | ** | Equilateral triangle - 3 equal sides | | ** | Isosceles triangle - at least 2 equal sides | | ** | Scalene triangle - no equal sides | | ** | Quadrangle - polygon with 4 angles, same as a quadrilateral, which is a polygon with 4 sides and angles | | ** | Pentagon - polygon with 5 sides and angles | | ** | Hexagon - polygon with 6 sides and angles | | ** | Octagon - polygon with 8 sides and angles | | ** | Parallel lines - lines that run side by side and never meet | | ** | Congruent - having the same exact size and shape | 2. Be able to tell how some polygons are alike and how they are different. 3. Be able to measure angles with a protractor. 4. Be able to draw and label adjacent angles. 5. Be able to draw each type of triangle: equilateral, isosceles, and scalene. 6. Be able to use your template to make a tessellation. 7. Know place value from hundredths place to hundred millions place. ___ ___ ___, ___ _______, ___ ___ ___ . ___ ___ 8. Be able to multiply multiples of 10. 300 * 4000 = _____ 50 * 800 = _____ 27,000 = 90 * _____ 300,000 = 6000 * _____ 9. Find the maximum, minimum, range, mode, and median of a set of data. 24, 32, 36, 27, 24, 40, 34, 38 maximum ____ minimum ____ range ____ mode _____ median _____ 10. Know that the three angles of a triangle have a sum of 180 degrees and that the four angles of a quadrilateral have a sum of 360 degrees. UNIT 4 STUDY GUIDE "friendly numbers" - Remember that you can break numbers such as 72 divided by 3 into "friendly numbers" such as 60+12. 3 goes into 60 - 20 times and into 12 - 4 times so the answer is 24. Practice doing that with other numbers such as: 56 divided by 4 (find friendly numbers for 56 that 4 will go into) 129 divided by 3
practice long division with one, two, and three digit divisors
practice making estimates to division problems with decimals and then dividing with decimals...don't forget to line up your numbers and write neatly. Also remember that you can correct a division problem by multiplying the quotient by the divisor and you should get the dividend. (practice your vocabulary)
Work on interpreting remainders...know when to ignore them, when to report the remainder as a fraction or decimal UNIT 5 STUDY GUIDE | 1. Be able to use a frequency chart to create a bar graph on grid paper and answer questions about the graph you make. (Don't forget your title and labels on your graph) Favorite Subjects | Subject Choices | Frequency of Votes | Total | | Health | l l l l l l | 6 | | Social Studies | l l l l l l l l | 8 | | Math | l l l l l l l l l l | 10 | | Language Arts | l l | 2 | a. According to this graph, how many more students chose Social Studies than Health as their favorite? b. What subject is represented by the minimum number in this set of data? 2. Write >, <, or = in the blank. a. 3/4 ___ 3/5 b. 1/2 ___ 4/8 c. 6/7 ___ 5/7 d. 1/3 ____ 9/10 3. Change each improper fraction to a mixed number or whole number. a. 21/5 =_____ b. 12/4 =_____ c. 17/3 =_____ d. 8/2 =_____ 4. Change each mixed number to an improper fraction. a. 2 1/3 = _____ b. 7 3/5 =_____ c. 3 2/4 =_____ d. 5 1/8 =_____ 5. Round the following numbers to hundredths place. a. 27.4751 ________ b. 245.051 ________ c. 95.999 ________ d. 1.0529 _________ 6. Use the data and your percent circle to make a circle graph. People who study landfills have estimated the percent of landfill space (volume) taken up by paper, food, plastic, and so on. (Think of it this way: For every 100 boxes of garbage hauled to the dump, expect that about 50 boxes could be filled with paper, 6 with metal, 1 with glass, and so on) Space in landfills taken up by: Paper . . . . . . . . . . . . . . . . 50% Food and yard waste . . . . . .13% Plastic . . . . . . . . . . . . . . . . 10% Metal . . . . . . . . . . . . . . . . . 6% Glass . . . . . . . . . . . . . . . . . . 1% Other waste . . . . . . . . . . . . . .20% 7. Convert the following fractions to decimals and percents. Round to the nearest whole percent. | Fraction | Decimal | Percent (rounded to the nearest whole percent) | | 3/4 | | | | 14/16 | | | | 15/25 | | | | 17/20 | | | | 3/8 | | | | | 8. Complete the following open response: Sue and Kate each bought a pie. Both pies had been cut into 8 equal pieces. Sue ate 1/4 of her pie. Kate ate 3/8 of her pie. a. Which girl ate the most pie? b. Explain in detail how you came up with the answer to part A. Show your work. | | UNIT 6 STUDY GUIDE Use the following data to make a line plot. The following numbers represent the number of pets a group of fifth graders have: 0, 10, 6, 2, 2, 3, 2, 6, 2, 1, 1, 0, 4, and 2 - Where does the data cluster?
- Is there a gap? If so where is it?
- Is there an outlier? If so what is it?
Use the following data to make a stem-and-leaf plot. The following numbers represent the numbers of inches each toy car rolled in a contest: 53, 64, 25, 55, 46, 40, 51, 46, 58, 22, and 52. Use the stem-and-leaf plot to find the following landmarks: 1. maximum _________ 2. mode ___________ 3. minimum ________ 4. median __________ 5. range ___________ 6. mean ___________ Add or subtract the following fractions. 1. 2/3 + 1/6 = ________ 2. 1/3 + ¾ = ___________ 3. 5/6 – 4/9 = _________ 4. 1 1/12 – 3/12 = _________ 5. 1 ½ + 2/8 = _________ 6. 5 ¾ - 2 ¼ = __________ Fraction open response. Joe and Sam each bought a pizza. Both pizzas had been cut into 12 equal slices. Joe ate 1/3 of his pizza, and Sam 3/12 of his. a.Which boy ate the most pizza? b. Explain in detail how you came up with the answer to part A. Show your work. | Reading: We recently adopted a new Reading/Language Arts Curriculum called Journeys.. It is an updated version of our last language arts curriculum so some aspects you will be familiar with. Remember, it is important that your child read daily for 20 minutes a night and apply the strategies and skills of an independent reader. http://www.softschools.com/quizzes/grammar/subject/quiz244.html http://www.softschools.com/quizzes/grammar/predicate/quiz245.html http://esl.fis.edu/grammar/multi/subpred.htm Social Studies: We will be studying how before we became the United States of America we were the thirteen original colonies. We will examine how and who settled these areas, the economics, and geography of each area. The students will research and create a brochure for one of the colonies. Then, we will examine the events that led up to the American Revolution and how we finally became known as the United States of America. Students will be involved in group projects to show what they learned about our history. Writing: Writing is an integral part of my curriculum. Therefore, students will be asked to write throughout the day to apply what they learned as well as write essays. Science: In science, we cover concepts such as weather, cells, elements, and habitats. Throughout the year, students will not only be graded on quizzes and tests, but also individual and group projects. Nightly Activities: The math activity is multiplication flashcards. The flashcards are for the number they are on according to our multiplication timed quizzes. Each week they will be given these flashcards, I would like them to practice them nightly with someone. To determine if they reached mastery, they should know the answer within three seconds of seeing a multiplication number sentence. Those that they don't get right, keep them to the side for them to practice a little more with that night. Also, when practicing with them, after the first day, the cards should be out of order so we know they are not just memorizing them in order. Each Friday they will be given a multiplication test. If they pass the test, they will be given a new set of flashcards the following Monday. If they did not pass the test, they will practice with the same flashcards. Also, I would like the flashcards and table turned in each Friday.
Riverside Elementary East Ms. Tigue's 5th Grade Class Room School & Kreig Street Moosic, PA 18507
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