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

• Matter and Energy
• Ecosystems
• Space
• Weather
   

SOCIAL STUDIES

• Explorers
• 20th Century History
• World War I
• World War II
• Contemporary History
   

READING/LANGUAGE ARTS

• Read, Write, & Identify:
   
  1. fables
  2. myths
  3. legends
  4. folk tales
  5. fairy tales
      
• Identify topical sentences in all writing.
• Identify main idea and supporting details in all reading selections; summarizing.
• Graphic organizers to help students organize information before writing.
• Continue proofreading/editing pieces of writing.
• Experience the test format, especially language arts.
• Daily use of proofreading symbols.
• Comparing/contrasting genres of literature.
• Vocabulary enrichment.
• Practice reading between the lines.
• Keep a reading journal to respond to literature.
• Write beginnings and endings to paragraphs, stories, and journals.
• Use context clues for unknown words in literature selections.