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| Painted Sky 5th Grade Curriculum |
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MATH
NUMBER AND OPERATIONS
· Addition, subtraction, multiplication, and division facts through 12
· Multiplication of multi-digit numbers by one- two- and three- digit numbers
· Division by one- and two-digit numbers
· Addition, subtraction, and multiplication of fractions with like and unlike denominators
· Fractions – common fractions, improper fractions, compare, and simplify
· Addition, subtraction, and multiplication of decimals to thousandths
· Estimation
· Money
· Real-world problems, situations, events, and stories
· Calculators and computers
· Fractions to decimal to percents
· Prime and composite numbers
ALGEBRA
· Understand patterns, relations, and functions
· Represent and analyze mathematical situations and structure using algebraic symbols
· Use mathematical models to represent and understand quantitative relationships
· Analyze change in various contexts
GEOMETRY
· Two and three dimensional geometric shapes
· Spatial relationships using coordinate geometry
· Apply transformations and use symmetry to analyze mathematical situations
· Two dimensional transformations: rotation, reflection, and translation
· Use geometric modeling to solve problems
· Scale
· Parallel and perpendicular concepts
· Circles and angles
· Congruent and similar figures
· Symmetry
MEASUREMENT AND DISCRETE MATH
· Units of measure: area, perimeter, volume, length, weight, time, money, temperature, and degree of angle
· Measurement tools
· Metric, U.S. standard, Non-standard
· Timelines
· Estimation
· Develop and use formulas and procedures to solve problems involving measurement
· Systematic listing of possible outcomes
DATA ANALYSIS AND PROBABILITY
· Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
· Develop and evaluate inferences and predictions that are based on data
· Understand and apply basic concepts of probability
Chance (express probability as a ratio, fraction, and percent)
· Measures of Central Tendency: Mean, Median, Mode, and range
· Interpret graphical representations and data displays
· Name possible outcomes
· Certainty of events
· Compare outcomes and make predictions
PROBLEM SOLVING
· Students use both inductive and deductive reasoning as they make conjectures and test the validity of arguments
· Ratio – proportion – percent
· Problem solving strategies
· Models
· Logic problems
· Make predictions
COMMUNICATION
· Organize and consolidate their mathematical thinking through communication.
· Use language of math to express mathematical ideas precisely.
· Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
LANGUAGE ARTS
READING
Attitudes and Habits: Utilizes strategies for selecting reading materials.
Recognize historical and cultural perspective of literature.
Reading Comprehension
· Using a variety of genres: fiction, nonfiction, historical fiction, science fiction, biography, technical, poetry, mystery, fantasy, fables, and myths.
· Identify the components of a plot: conflict, rising action, climax, falling action, and resolution.
· Make and confirm predictions
· Make connections
· Identify main idea and theme
· Identify types of poetry
· Analyze character traits
· Summarize through written and oral retelling
· Analyze/interpret text to support reader’s opinion
· Reading strategies
. Drawing conclusions
. Identify cause and effect
. Making inferences
. Sequence of events
Skills to enhance non-fiction comprehension
· Note taking
· Outlining graphic organizers
· Understand differences of fact and opinion
· Main idea and supporting details
WRITING
The Six-Traits of Writing is the framework for Arizona Instrument to Measure Skills (AIMS) and our writing curriculum.
The writing process: prewriting, drafting, revising, editing, and publishing is inherent.
Writing genres include narrative, summary, poetry, letter writing, research, persuasive, personal narratives, and expository.
IDEAS
· Prewriting – generate topics for writing
· Sufficient details support the writer’s idea
ORGANIZATION
· Leads
· Conclusions
· Topic sentences
· Transition words, phrases, sentences
· Sentence follow a natural, logical order of thought within a paragraph
· Paragraphs support the order of information and dialogue
VOICE
· Appropriate voice for audience
· Writing sounds like the author is speaking – natural sounding
· Various moods and tones are conveyed
WORD CHOICE
· Literal and figurative language
· Parts of speech as it relates to communication meaning
· Use of thesaurus
SENTENCE FLUENCY
· Varied sentences
· Simple and compound sentences
· Sentences that flow together and sound natural when read aloud
CONVENTIONS
· Spelling and Punctuation: commas, capitalization, ending of sentences, apostrophes, colons, semi-colons, and quotations marks
· Format: margins, indenting fro paragraphs, and presentation
· Grammar – subject and predicate - parts of speech
SPELLING
Sitton Spelling Program. 100% accuracy of most frequently used words in the English language required in required in students’ everyday writing.
Additional spelling words selected from Sitton Program and other curriculum areas.
Word study: homophones, prefixes, suffixes, root words, spelling patterns, an spelling rules.
In addition to Sitton, we will be using Everyday Spelling (not related to Everyday Math). This program focuses on patterns in spelling with each set of lessons.
PRENSENTAION AND SPEAKING SKILLS
Oral reports, play, book sharing, class discussions
SCIENCE
Physical Science – properties of matter (mixture and solutions)
Earth and Space Science – Earth in our Solar System
Inquiry Process
· Models and Deigns
· Inventions
· Variables
Life Science – Living Systems
· Skeletal system
· Muscular system
· Nervous system
SOCIAL STUDIES
Mapping: World/U.S
American History
New World exploration
Colonization
American Revolution
Government
Westward expansion
Civil War
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