Standard 2.2 Computation and Estimation

Transcription

1 Greater Nanticoke Area School District Math Standards: Grade 5 Standard 2.1 Numbers, Number Systems, and Number Relationships CS2.1.5A. Use expanded notation to represent whole numbers or decimals 25. Expand whole numbers to the 100 million place 26. Identify orally and write the place value for each digit in a whole number b. Up to the billions place 27. Write decimals in expanded form using whole numbers, tenths, and hundredths CS2.1.5B. Apply number theory concepts to rename a quantity CS2.1.5C. Demonstrate that mathematical operations can represent a variety of problem situations CS2.1.5D. Use models to represent fractions and decimals 33. Use models to represent decimals to tenths CS2.1.5E. Explain the concepts of prime and composite numbers 34. List all the prime numbers b. Up to Identify whole numbers as prime or composite 36. Explain in writing the difference between prime and composite numbers CS2.1.5F. Use simple concepts of negative numbers, such as on the number line, in counting and in temperature 38. Use a number line to represent negative numbers CS2.1.5G. Develop and apply number theory concepts to represent numbers in various ways 39. Factor numbers up to 100 using rules for divisibility by 2,3,5,6, and Represent numbers up to 100 prime and/or composite factors 41. Use prime factors to find the greatest common factor of two numbers up to Use prime factors to find the least common multiple of two numbers up to 50 Standard 2.2 Computation and Estimation CS2.2.5A. Create and solve word problems involving addition, subtraction, multiplication and division of whole numbers Math Standards: Fifth Grade 1

2 88. Create and solve word problems c. Multiplication of whole numbers d. Division of whole numbers CS2.2.5B. Develop and apply algorithms to solve word problems that involve addition and subtraction and/or multiplication with decimals with and without regrouping 90. Develop and apply algorithms to solve word problems involving decimals with and without grouping using b. Multiplication CS2.2.5C. Develop and apply algorithms to solve word problems that involve addition and subtraction and/or multiplication with fractions and mixed numbers that include like and unlike denominations 91. Develop and apply algorithms to solve word problems involving fractions and mixed numbers with like denominations using a. Addition or subtraction b. Multiplication CS2.2.5D. Demonstrate the ability to round numbers 92. Round numbers c. To the nearest ten thousand d. Decimals to the nearest tenth, hundredth, and thousandth CS2.2.5E. Determine through estimations the reasonableness of answers to problems involving addition, subtraction, multiplication and division of whole numbers 93. Estimate by rounding or compatible numbers to determine the reasonableness of answers in problems involving b. Multiplication or division of whole numbers CS2.2.5F. Demonstrate skills for using fraction calculators to verify conjectures, confirm computation and explore complex problem-solving situation 95. Demonstrate skill in using calculators b. To solve problems involving fractions CS2.2.5G. Apply estimation strategies to a variety of problems involving time and money 96. Use estimation strategies to solve problems b. Involving time CS2.2.5H. Explain multiplication and division algorithms 98. Explain the multiplication of a number by Explain division algorithms to divide b. Two digit divisors CS2.2.5I Select a method for computation and explain why it is appropriate 100. Select paper and pencil, mental math or a calculator for computation with whole numbers Math Standards: Fifth Grade 2

3 101. Explain why it is appropriate to use paper and pencil, mental math. Or a calculator for computation with whole numbers CS 2.2.8B. Add, subtract, multiply and divide different kinds and forms of rational numbers Add and subtract rational numbers a. Decimals b. Fractions with like denominators c. Fractions with u8nlike denominators 104. Multiply and divide rational numbers a. Decimals b. Fractions STANDARD 2.3 Measurement and Estimation CS2.3.5A. Select and use appropriate instruments and units for measuring quantities 125. Select and use appropriate instruments and units for measuring quantities d. Time e. Area f. Volume CS2.3.5B. Select and use standard tools to measure the size of figures with specifies accuracy 126. Select and use standard tools to measure length, perimeter and area c. To nearest one-fourth inch or millimeter CS2.3.5C. Estimate, refine and verify specified measurements of objects CS2.3.5D. Convert linear measurements within the same system 127. Convert linear measurements b. Within the metric system 129. Know common equivalents and abbreviations c. Ounces = cup, cup = pint, pint = quart, quart = gallon CS2.3.5E. Add and subtract measurements 130. Add and subtract measurements with and without renaming c. Time d. Volume Standard 2.4 Mathematical Reasoning and Connections CS2.4.5A. Compare quantities and magnitudes of numbers 147. Compare quantities and magnitudes b. Of fractions 147B. Compare quantities and magnitudes of numbers obtained through measurement Math Standards: Fifth Grade 3

4 CS2.4.5B. Use models, number facts, properties and relationships to check and verify predictions and explain reasoning 149. Analyze a problem to see how parts logically relate to each other 150. Use synthesis by applying inductive reasoning to the facts presented in a problem CS2.4.5C. Draw inductive and deductive conclusions within mathematical contexts 151. Draw inductive conclusions within mathematical contexts 152. Draw deductible conclusions within mathematical contexts CS2.4.5D. Distinguish between relevant and irrelevant information in a mathematical problem 153. Solve a problem a. That contains irrelevant information CS2.4.5E. Interpret statements made with precise language of logic 154. Solve word problems b. Using key words or, and, but CS2.4.5F. Use statistics to quantity issues in social studies 155. Use statistical information is a social studies book to make specific mathematical statements Standard 2.5 Mathematical Problem Solving and Communication CS2.5.5A. Develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether the plan makes sense and explain how the problem was solved 170. Identify the problem needed to solve a problem 171. Select a problem solving strategy 172. Carry out the plan 173. Estimate whether the answer makes sense 174. Explain how a problem was solved CS2.5.5B. Use appropriate mathematical terms, vocabulary, language symbols, and graphs to explain clearly and logically solutions to problems 177. Use circle graphs to explain solutions to problems 178. Interpret the remainder when using division in a word problem CS2.5.5C. Show ideas in a variety of ways, including works, numbers, symbols, pictures, charts, graphs, tables diagrams, and models 179. Create and write a word problem c. From a mathematical sentence with numbers and symbols d. From charts, graphs, tables, diagrams, and models CS2.5.5D. Connect, extend, and generalize problems solutions to other concepts, problems and circumstances in mathematics Math Standards: Fifth Grade 4

5 181. Generalize problem solutions to other concepts and problems or circumstances in mathematics CS2.5.5E. Select, use and justify the methods, materials and strategies used to solved problems 183. Justify the methods, materials and strategies used to solve problems CS2.5.5F. Use appropriate problem-solving strategy 184. Solve a problem using an appropriate problem-solving strategy a. Solving a similar problem b. Working backwards c. Drawing a picture or diagram Standard 2.6 Statistics and Data Analysis CS2.6.5A. Organize and display using pictures, tallies, tables, charts, bar graphs and circle graphs 195. Organize and display data using b. Tables, charts and bar graphs c. Circle graphs CS2.6.5B. Describe data sets using mean, median, mode and range 196. Describe data c. Using median and range CS2.6.5C. Sort data using Venn diagrams 197. Use Venn Diagrams to sort given data CS2.6.5D. Predict the likely number of times a condition will occur based on analyzed data 199. Use probability experiments to make predictions CS2.6.5E. Construct and defend simple conclusions based on data 201. Evaluate outcomes as most likely, equally likely, or less likely 202. Select appropriate data from a graph to support and defend a conclusion Standard 2.7 Probability and Predictions CS2.7.5A. Perform simulations with concrete devices to predict the chance of an event occurring 218. Perform simulations b. With dice to predict the chance of an event occurring CS2.7.5B. Determine the fairness of the design of a spinner CS2.7.5C. Express probabilities as fractions or decimals 219. Express probabilities a. As fractions b. As decimals Math Standards: Fifth Grade 5

6 CS2.7.5D. Compare predictions based on theoretical probability and experimental results 221. Compare predictions of events occurring by chance based on theoretical probability and experimental results b. Using a dice CS2.7.5E. Calculate the probability of a simple event 222. Calculate the probability of a simple event b. Using dice CS2.7.5F. Determine patterns generated as a result of an experiment 223. Determine patterns generated as a result of an experiment b. Using dice CS2.7.5G. Determine the probability of an event involving and, or, or not 224. Determine the probability of an event involving and, or, or not b. Using dice CS2.7.5H. Predict and determine why some outcomes are certain, more likely, less likely, equally likely or impossible 226. Determine why some outcomes are certain, more likely, less likely, equally likely or impossible CS2.7.5I. Find all possible combinations and arrangements involving a limited number of variables 227. Find all possible arrangements a. Involving a limited number of variables b. Involving a limited number of variables CS2.7.5J. Make a tree diagram and list the elements in the sample space 228. Make a tree diagram and list the elements in the sample space Standard 2.8 Algebra and Functions CS2.8.5A. Recognize, reproduce, extend, create and describe patterns, sequences, and relationships verbally, numerically, symbolically, and graphically using a variety of materials 256. Extend, create and describe patterns, sequences and relationships verbally, numerically, symbolically, and graphically, suing a variety of materials CS2.8.5B. Connect patterns to geometric relations and basic number skills 257. Complete a pattern a. Involving basic number skills b. Involving geometric shapes CS2.8.5C. Form rules based on patterns 258. Form rules Math Standards: Fifth Grade 6

7 b. Based on geometric patterns CS2.8.5E. Use concrete objects and combinations of symbols and numbers to create expressions that model mathematical situations 261. Explain the use of combinations of symbols and numbers b. Using x, and / in expressions, equations, and inequalities CS2.8.5F. Describe a realistic situation using information given in equations, inequalities, tables or graphs 262. Describe a realistic situation a. Using information given in equations or tables b. Using information given in inequalities or graphs CS2.8.5G. Select and use appropriate strategies, including concrete materials, to solve number sentences and explain the method of solution 263. Use concrete materials to solve number sentences and explain the method of solution 264. Select and use appropriate strategies, such as guess and check, to solve number sentences and explain the method of solution CS2.8.5H. Locate and identify points on a coordinate system 266. Identify points on a coordinate system CS2.8.5I. Generate functions from tables of data and relate data to corresponding graphs and functions 267. Complete a function chart and graph the result 268. Relate data obtained from tables to corresponding graphs and functions Standard 2.9 Geometry CS2.9.5A. Give formal definitions of geometric figures 302. Identify and define all types of triangles CS2.9.5B. Classify and compare triangles and quadrilaterals according to sides or angles 304. Classify and compare quadrilaterals according to sides or angles CS2.9.5C. Identify and measure circles, their diameters and their radii 305. Identify and measure the diameters and radii of circles CS2.9.5D. Describe in words how geometric shapes are constructed 307. Describe in words how triangles or circles are constructed CS2.9.5E. Construct two-and three- dimensional shapes and figures using manipulative, geoboards and computer software 309. Construct three-dimensional shapes and figures using manipulative, geoboards and computer software Math Standards: Fifth Grade 7

8 CS2.9.5F. Find familiar solids in the environment and describe them 310. In the environment, find and describe a c. Cone d. Pyramid CS2.9.5H. Describe the relationship between the perimeter and areas of triangles, quadrilaterals and circles 313. Describe the relationship between perimeter and the area of a triangle 314. Describe the relationship between the circumference and area of a circle CS2.9.5I. Represent and use the concepts of point, line, and plane 316. Use the concepts of point and line to represent the solution to an equation with one unknown 317. Use the concepts of line and plane to represent the solution to an equation with two unknowns CS2.9.5J. Define the basic properties of squares, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, triangles, cues, prisms, spheres, and cylinders 319. Define the basic properties of quadrilaterals, polygons, trapezoids, and circles 320. Define the basic properties of pyramids, cubes, prisms, spheres, and cylinders CS2.9.5K. Analyze simple transformation of geometric figures and rotations of line segments 322. Use rotations of line segments to analyze simple transformations of geometric figures CS2.9.5L. Identify properties of geometric figures 324. Identify sides of geometric figures as parallel or perpendicular 325. Identify geometric figures as similar and/or congruent Standard 2.10 Trigonometry CS2.10.3B. Model right angles and right triangles using concrete objects 349. Identify and compare parts of right triangles, including right angles, acute angles, hypotenuses and legs CS2.10.5B. Create right triangles on a geo-board Standard 2.11 Concepts of Calculus CS2.11.3D. Continue a pattern of numbers or objects that could be extend infinitely 362. Use <, > or = to compare fractions with unlike denominators described as less, more, or the same 364. Use < or _> to compare numbers described as at least or at most 365. Use < or > to describe a quantity that is greater than or is less than another Math Standards: Fifth Grade 8

9 CS2.11.5B. Identify least and greatest values represented in bar and circle graphs 367. Identify least and greatest values represented in circle graphs CS2.11.5C. Identify maximum and minimum 368. Given a set of numbers, identify those that are maximum or minimum, if any CS2.11.5D. Describe the relationship between rates of change and time 369. Plot values of time and corresponding rates and use the graph to describe their relationship CS2.11.5E. Estimate areas and volumes as the sums of areas of tiles and volumes of cubes 371. Estimate volumes as the volumes of cubes CS2.11.5F. Describe the relationship between the size of the unit of measurement and the estimate of the areas and volumes 373. Describe the relationship between the size of a metric unit of measurement and the estimate of the volumes Math Standards: Fifth Grade 9