Fifth Grade Curriculum

DVES Fifth Grade Curriculum

MATH

NUMBER, NUMBER SYSTEMS, AND NUMBER RELATIONS

use expanded notation to represent whole numbers or decimals
apply number theory concepts to rename a number quantity
demonstrate that mathematical operations can represent a variety of problem situations
use models to represent fractions and decimals
explain the concepts of prime and composite numbers
use simple concepts of negative numbers
develop and apply number theory concepts

COMPUTATION AND ESTIMATION

create and solve word problems involving addition, subtraction, multiplication, and division of whole numbers
develop and apply algorithms to solve word problems that involve addition, subtraction, and/or multiplication with decimals with and without regrouping
develop and apply algorithms to solve word problems that involve addition, subtraction, and/or multiplication with fractions and mixed numbers that include like and unlike denominators
demonstrate the ability to round numbers
determine through estimations the reasonableness of answers to problems involving addition, subtraction, multiplication and division of whole numbers
demonstrate skills for using fraction calculators to verify conjectures, confirm computations and explore complex problem-solving situations
apply estimation strategies to a variety of problems including time and money
explain multiplication and division algorithms
select a method for computation and explain why it is appropriate

MEASUREMENT AND ESTIMATION

select and use appropriate instruments and units for measuring quantities
select and use standard tools to measure the size of figures with specified accuracy, including length, width, perimeter, and area
estimate, refine, and verify specified measurements of objects
convert linear measurements within the same system
add and subtract measurements

MATHEMATICAL REASONING AND CONNECTIONS

compare quantities and magnitudes of numbers
use models, properties, and relationships to check and verify predictions and explain reasoning
draw inductive and deductive conclusions within mathematical contexts
distinguish between relevant and irrelevant information in mathematical problems
interpret statements made with precise language of logic
use statistics to quantify issues

MATHEMATICAL PROBLEM-SOLVING AND COMMUNICATION

develop a plan to analyze a problem, identify the information needed to solve the problem, carry out the plan, check whether an answer makes sense and explain how the problem was solved
use appropriate mathematical terms, vocabulary, language, symbols, and graphs to explain clearly and logically solutions to problems
show ideas in a variety of ways, including words, numbers, symbols, pictures, charts, graphs, tables, diagrams, and models
connect, extend, and generalize problem solutions to other concepts, problems, and circumstances in mathematics
select, use and justify the methods, materials, and strategies used to solve problems
use appropriate problem-solving strategies

STATISTICS AND DATA ANALYSIS

organize and display data using pictures, tallies, tales, charts, bar graphs, and circle graphs
describe data sets using mean, median, mode, and range
sort data using Venn diagrams
predict the likely number of times a condition will occur based on analyzed data
construct and defend simple conclusions based on data

PROBABILITY AND PREDICTIONS

perform simulations with concrete devices
determine the fairness of the design of a spinner
express probabilities as fractions and decimals
compare predictions based on theoretical probability and experimental results
calculate the probability of a simple event
determine patterns generated as a result of an experiment
determine the probability of an event involving "and", "or", or "not"
predict and determine why some outcomes are certain, more likely, less likely, or impossible
find all possible combinations and arrangements involving a limited number of variables
develop a tree diagram and list the elements

ALGEBRA AND FUNCTIONS

recognize, reproduce, extend, create, and describe patterns, sequences, and relationships verbally, numerically, symbolically, and geographically, using a variety of materials
connect patterns to geometric relations and basic number skills
form rules based on patterns
use concrete objects and combinations of symbols and numbers to create expressions that model mathematical situations
explain the use of combinations of symbols and numbers in expressions, equations, and inequalities
describe a realistic situation using information given in equations, inequalities, tables, or graphs
select and use appropriate strategies including concrete materials, to solve number sentences and explain the method of solution
locate and identify points on a coordinate system
generate functions from tables of data and relate data to corresponding graphs and functions

GEOMETRY

give formal definitions of geometric figures
classify and compare triangles and quadrilaterals according to sides or angles
identify and measure circles, their diameters and their radii
describe in words how geometric shapes are constructed
construct two- and three-dimensional shapes and figures using manipulatives, geoboards, and computer sofware
find familiar solids in the environment and desribe them
create an original tesselation
describe the relationship between the perimeter and area of triangles, quadrilaterals, and circles
represent and use the concepts of line, point, and plane
define the basic properties of squares, pyramids, parallelograms, quadrilaterals, trapezoids, polygons, rectangles, rhombi, circles, triangles, cubes, prisms, spheres, and cylinders
analyze simple transformations of geometric figures and rotations of line segments
identify properties of geometric figures

TRIGONOMETRY

identify and compare parts of right triangles, including right angles, acute angles, hypotenuses and legs
create right triangles on a geoboard

CONCEPTS OF CALCULUS

make comparisons of numbers
identify least and greatest values represented in bar graphs
identify maximum and minimum
describe the relationship between rates of change and time
estimate areas and volumes as the sums of areas of tiles and volumes of cubes
describe the relationship between the size of the unit of measurement and the estimate of the areas and volumes

SCIENCE

SOCIAL STUDIES

READING/LANGUAGE ARTS

1. Read, Write, & Identify

a. fables
b. myths
c. legends
d. folk tales
e. fairy tales

2. Identify topical sentences in all writing.

3. Identify main idea and supporting details in all reading selections; summarizing.

4. Graphic organizers to help students organize information before writing.

5. Continue proofreading/editing pieces of writing.

6. Experience the test format, especially language arts.

7. Daily use of proofreading symbols.

8. Comparing/contrasting genres of literature.

9. Vocabulary enrichment.

10. Practice reading between the lines.

11. Keep a reading journal to respond to literature.

12. Write beginnings and endings to paragraphs, stories, and journals.

13. Use context clues for unknown words in literature selections.