11-16-2012 How Many Peas Fill the Classroom?

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 6: GEOMETRY

Grade 6 Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.		RESOURCES
6.G.1.	Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.	Measuring Angles  Geometry Building Blocks: Classifying Angles Classifying Angles Angles Angles  Angle Classification: Acute, Right, Obtuse Spy Guys Interactive - Working with Angles Making Triangles Triangle Identification Triangles Side-By-Side Triangle Identification Triangle Identification Triangle Explorer Triangle Calculator Squaring the Triangle Spy Guys Interactive - Working with Angles The Pythagorean Theorem Pythagorean Explorer  Pythagorean Theorem Games Identify Polygons Name that Polygon  Spy Guys Interactive - Area and Perimeter Spy Guys Interactive - Relating Area and Perimeter Perimeter Games  Math Playground: Measuring the Area and Perimeter of Rectangles Math Playground: Party Designer BBC Bitesize - Perimeter BBC Bitesize - Area Geometry Area/Perimeter Quiz from ThatQuiz.org Perimeter Game from Cyram.org FunBrain: Shape Surveyor Geometry Game Area Of Parallelogram Math is Fun: Quadrilaterals Geometry Bridge Polygon Playground
6.G.2.	Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.	Spy Guys Interactive - Volume and Displacement  Volume Games  Solid Geometry Games Dynamic Paper Interactives: Geometry: 3D Shapes 3D Shapes Volume Problems Volume of 3D Shapes BBC Maths: Volume and Surface Area Go Animate: How to Learn Volume with 3D Shapes
6.G.3.	Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.	Flips, Slides, and Turns Mathsnet Transformations Sam's Similar Shapes Spy Guys Interactive - Slides and Flips Transformations Geogebra Perimeter Explorer  Shape Explorer Wrapping Paper Patterns Geometry Building Blocks: Coordinate Geometry Coordinate Geometry
6.G.4.	Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.	Patterns for Solid Figures Cube Spy Guys Interactive - Surface Area of Prisms Geometry Games  Area Games  Looking at Polygons 3DTin Printable Nets Great Maths Teaching Ideas: Nets

11-15-2012 Function, Function, What's your Function?

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 8: FUNCTIONS

FUNCTIONS
By the end of Grade 8	Students grasp the concept of a function as a rule that assigns to each input exactly one output. They understand that functions describe situations where one quantity determines another. They can translate among representations and partial representations of functions (noting that tabular and graphical representations may be partial representations), and they describe how aspects of the function are reflected in the different representations.
Define, evaluate, and compare functions.			RESOURCES
	8F.A.1	Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.	Algebra Puzzle Algebraic Reasoning Algebra vs The Cockroaches  Equation Match  Explore Families of Functions Function Machine Late Delivery Linear Function Machine Mystery Operations Number Cruncher Patterns & Functions Positive Linear Function Machine Solve Equations Spy Guys Interactive - Balancing Equations Teacher Dodgeball  Whole Number Cruncher
	8F.A.2	Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
	8F.A.3	Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Use functions to model relationships between quantities.			RESOURCES
	8F.A.4	Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.	Virtual Manipulatives: Algebra Save Our Dumb Planet Linear Equation Problem Solver  Practice Lessons Practice with Solving Inequalities Equation of a Line: Slope-Intercept Form Find the graph that best matches the linear equation Linear Equation Test Linear function  Linear function and Graph Linear Functions Part A: Basics: Slope and Intercept Part B: Finding the Equation of a Line  Graphing linear equations Linear Equation Solver Linear Equation Solvers  The Linear Equations Solver Applet Linear Equation Solver Linear Equation Solver Rags to Riches Game Solving Equations with Variables on Both Sides  Writing Equation of a Line Linear functions: Rate of Change of linear Functions Grand Slam Math Late Delivery Math at the Mall Math in Daily Life: How do numbers affect everyday decisions? Thinking Blocks  Word Problems with Katie
	8F.A.5	Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

11-14-2012 Vigorous Vocabulary Aquisition

Teching the CCCS

English Language Arts Standards

Grades 6-8

Language: Knowledge of Language

Vocabulary Acquisition and Use
L.6-8.4. Determine or clarify the meaning of unknown and multiple-meaning words and phrases based on grade 6-8 reading and content, choosing flexibly from a range of strategies.		RESOURCES
GRADES 6-8	Use context (e.g., the overall meaning of a sentence or   paragraph; a word’s position or function in a sentence) as a clue to the meaning of a word or phrase. Use common, grade-appropriate Greek or Latin affixes and roots as clues to the meaning of a word (e.g., belligerent, bellicose, rebel). Consult general and specialized reference materials (e.g., dictionaries, glossaries, thesauruses), both print and digital, to find the pronunciation of a word or determine or clarify its precise meaning or its part of speech. Verify the preliminary determination of the meaning of a word or phrase (e.g., by checking the inferred meaning in context or in a dictionary).	Sentence Completion Homophone Challenge Homophones Game  Say It Another Way  Synonyms, Antonyms, and Homonyms Visual Thesaurus The Thesaurus Lingro Lexipedia Affect and Effect  Can or May Commonly Confused Words Quiz  Confusing Verbs - Lay / Lie Confusing Words I Confusing Words II  Double Negatives Game Its/It's and There/Their/They're Lay or Lie  Leave and Let  Problem Verbs Review: Sit/Set/Lie/Lay/Rise/Raise Sit or Set Quiz There there They're/Their/There To Lie / To Lay and To Sit / To Set  To, Too and Two  To/Two/Too To/Two/Too To/Two/Too Troublesome Words Words Commonly Confused
L.6-8.5. Demonstrate understanding of figurative language, word relationships, and nuances in word meanings.
GRADES 6-8	Interpret figures of speech (Gr. 6 e.g., personification), (Gr. 7 e.g., literary, biblical, and mythological allusions), (Gr. 8 e.g. verbal irony, puns) in context. Use the relationship between particular words (e.g., cause/effect, part/whole, item/category, synonym/antonym, analogy) to better understand each of the words. Distinguish among the connotations (associations) of words with similar denotations (definitions) (e.g., Gr. 6: stingy, scrimping, economical, un-wasteful, thrifty; Gr. 7: refined, respectful, polite, diplomatic, condescending; Gr. 8: bullheaded, willful, firm, persistent, resolute).	Turn of Phrase Choose Your Game Classify It! Do You Know Your Metaphors Do You Know Your Similes Eye on Idioms  Idioms Game Figurative Language Grade or No Grade  Literary Devices  Literary Terms Metaphor Battleship Word Play 1  Word Play 2  Word Play 3  Word Play 4  Word Play 5 Word Play 6 Simile, Metaphor, or Personification?
L.6-8.6. Acquire and use accurately grade-appropriate general academic and domain-specific words and phrases; gather vocabulary knowledge when considering a word or phrase important to comprehension or expression.		Spelling City Vocab Ahead Wordia Word Jungle  Index of Vocabulary Building Quizzes Vocabulary.com  Vocabulary Game  Free Rice 8th Grade Interactive Vocabulary Games  8th Grade Vocabulary Strengthening Games

11-13-2012 Passively Active Language Learners

Teching the CCCS

English Language Arts Standards

Grades 6-8

Language: Knowledge of Language

Knowledge of Language
L.6-8.3. Use knowledge of language and its conventions when writing, speaking, reading, or listening.		RESOURCES
GRADE 6	Vary sentence patterns for meaning, reader/listener interest, and style.* Maintain consistency in style and tone.*	Sentence Types Quiz: Sentence Types Sentence Structure Quiz Sentence Structure Review Sentence Structure Challenge Sentence Structure Practice Game Strategies for Variation Keables Guide to Sentence Structure Sentence Patterns Sentence Variety and Structure handout Writing with Clarity Transformations Varied Sentence Length and Style
GRADE 7	Choose language that expresses ideas precisely and concisely, recognizing and eliminating wordiness and redundancy.*	Less is More Lesson Conciseness Concise Sentence Practice Guide to Grammar: Concise Sentences How to Study: Writing Concisely Using Twitter Cut the Clutter Clarity Handout The Writer's Handbook The Writing Center
GRADE 8	Use verbs in the active and passive voice and in the conditional and subjunctive mood to achieve particular effects (e.g., emphasizing the actor or the action; expressing uncertainty or describing a state contrary to fact).	Active/Passive Voice Active and Passive Voice Active Voice Versus Passive Voice Active Voice, Passive Voice The Passive Voice Active and Passive Tenses Active and Passive Verbs Active or Passive Practice Active and Passive Voice Video Lesson Get it Write Conditional Verb Forms Grammatical Mood The Subjunctive Mood Subjunctive Mood Types of Verbs