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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 100
35. 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.
40.
41.
42.
Factor numbers up to 100 using rules for divisibility by 2,3,5,6, and 10
Represent numbers up to 100 prime and/or composite factors
Use prime factors to find the greatest common factor of two numbers up to 50
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
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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 0
99. 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
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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.
103. 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
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
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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
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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
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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
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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
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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
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