Alaska Mathematics Standards Math Tasks Grade 4 Building 1,000
CTE and The Alaska English Language Arts and Math Standards
description
Transcript of CTE and The Alaska English Language Arts and Math Standards
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CTE and The Alaska English
Language Arts and Math Standards
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Alaska English/Language ArtsStandards
Karen MelinAdministrator of Instructional SupportAlaska Department of Education & Early Development
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Handouts Online
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http://www.livebinders.com/play/play?tab_layout=side&id=1117828
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Goals
Gain a greater understanding of the structure of the Alaska English Language Arts Standards
Explore connections between Alaska English Language Arts Standards and CTE course
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10 Anchor Standards Arranged in 4 strands
Key Ideas and Details 1. 2. 3.
Craft and Structure 4. 5. 6.
Integration of Knowledge and Ideas 7. 8. 9.
Range of Reading and Level of Text Complexity 10.
Reading Literature and
Informational Text
10 Anchor Standards Arranged in 4 strands
Text Types and Purpose 1. 2. 3.
Production and Distribution of Writing 4. 5. 6.
Research to Build and Present Knowledge 7. 8. 9.
Range of Writing 10.
Arranged in 4 strands
Print Concept 1.
Phonological Awareness 2.
Phonics and Word Recognition 3.
Fluency 4.
Reading Foundational Skills
Writing
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Speaking and Listening
6 Anchor Standards Arranged in 2 strands
Comprehension and Collaboration 1. 2. 3.
Presentation of Knowledge and Ideas 4. 5. 6.
6 Anchor Standards Arranged in 3 strands
• Conventions of Standard English
• 1.• 2.
• Knowledge of Language
• 3.• Vocabulary
Acquisition and Use
• 4.• 5.• 6.
Language
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Standards for Literacy in History/Social Studies, Science, and Technical Subjects grades 6-12
READINGREADING WRITING
10 Anchor Standards
Arranged in 4 strands Key Ideas and Details Craft and Structure Integration of
Knowledge and Ideas Range of Reading
and Level of Text Complexity
10 Anchor Standards Arranged in 4 Strands
Text Types and Purpose Production and
Distribution of Writing Research to Build and
Present Knowledge Range of Writing
6-8
9-10
11-12
6-8
9-10
11-12
Grade Specific Standard
Grade Specific Standards
Standards for Literacy in History/Social Studies, Science, and Technical Subjects 6-12
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Reading Anchor Standards
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Writing Anchor Standards
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Speaking and Listening Anchor Standards
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Language Anchor Standards
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Goals
Gain a greater understanding of the structure of the Alaska English Language Arts Standards
Explore connections between Alaska English Language Arts Standards and CTE course
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Alaska Mathematics Standards
CTE ConferenceOctober 28, 2013
Deborah RiddleMath Content SpecialistAlaska Department of Education & Early Development
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Handouts Online
http://www.livebinders.com/play/play?tab_layout=side&id=1117828
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Goal for Today
Examine the Standards for Mathematical Practice
Navigate the Conceptual Categories
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Structure of the Standards
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Content Standards
Standards for Mathematical
Practice
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Eight Mathematical Practices
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Activity:
Groups of 8
Pass out the Practices
Learn your practice and teach your group.
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Conceptual Categories
• Career and college ready math standards
• Coherent view of high school mathematics
• Standards cross traditional course boundaries
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Pathways
• No mandated sequence of courses
• Freedom for districts to design courses to meet their needs– Traditional– Integrated
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Modeling
Link classroom math to • everyday life• work• decision making
Choose mathematical processes to analyze a situation in order to
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Standards indicated by *
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Reading the Standards
Number and Quantity
Algebra
Functions
Geometry
Statistics and Probability 38
Con
cep
tual
Cate
gori
es M
odelin
g
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Reading the Standards
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Instructional Shifts in Mathematics:
The Big Picture
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Focus
Coherence
Rigor
Fluency
Deep Under-standing
Application
Equal Intensity
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Application
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Students use appropriate concepts and procedures for application without prompting.
Teachers provide opportunities to apply math concepts in “real world” situations.
Use grade appropriate math in all content areas.
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Standards for Mathematical Practice
Establish habits of mind
Procedural fluency
Development of concepts
Application of knowledge
Self-assessment
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Gather Information
Make a Plan
Anticipate possible solutions
Continuously evaluate process
Check resultsQuestion sense of solutions
Make sense of problems and persevere in solving them.
Mathematical Practice
Standard 1 Problem Solving StrategiesCreate DrawingsLook for patterns
Work backwardsConsider a simpler caseEstimate solution
Make a table, chart or list
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DecontextualizeRepresent a situation symbolically and manipulate the
symbols
ContextualizeMake meaning of the symbols in the problem
Sample Problem99 students need to go on a field trip. The busses can carry 44 students each. How many busses do they need?
Mathematical Problem
99 ÷ 44 = 2.25
Will need 3 busses.
Mathematical Practice
Standard 2Reason abstractly and quantitatively.
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Square Peg in a Round Hole
Stacey drilled a 18 cm hole into a piece of wood.
What are the dimensions of the cube that that can drop into this hole where the vertices of the cube touch the circle?
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Diameter= 18cm
David HebertNuiqsut Trapper School
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Mathematical Practice
Standard 3Construct viable arguments and critique the reasoning of others.
Use assumptions, definitions and previous results
Make a conjecture
Build a logical progression of statements to explore conjecture
Analyze the situations by breaking them into cases
Recognize and use counter examples
Distinguish correct logic
Explain flaws
Ask clarifying questions
Communicate conclusions
Justify conclusions
Respond to arguments
Support an argumentCritique an argument
Create an argument
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Mathematical Practice
Standard 4Model with mathematics.
Everyday situations …reasoned using mathematical methods
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4 feet
35 feet
40 feetWalkway
30 feet
The administration found that students liked to take a shortcut across the 35 ft. by 40 ft. grassy field. They decided to put in a 4 ft. wide walkway.
Determine the area of the walkway.
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Mathematical Practice
Standard 5Use appropriate tools strategically.
Use available tools.
Use technological tools.
Estimate
Strengths?Weaknesses?
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Mathematical Practice
Standard 6Attend to precision.
Precision
Communication
Calculations
Symbols and labels
Precision in solutions
Significant figures
Explain results and reasoning
Accuracy and efficiency
∏ ∑ √cm2 m/sec
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Hexagon PerimetersLook at the hexagons. As each hexagon is added, the perimeter of the whole figure changes.
a. What will the perimeter be after the 10th hexagon is added?
b. What will the perimeter be after the 100th hexagon is added?
c. How could you determine the perimeter of any number of hexagons you had in the figure?
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Mathematical Practice
Standard 7Look for and make use of structure.
See complicated things as a single object or as being composed of several objects.
Shift Perspective
Patterns
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Mathematical Practice
Standard 8Look for and express regularity in repeated reasoning.
• See repeated calculations and look for generalizations
• Recognize reasonable solutions
• See the process – attend to details
• Understand the broader application of patterns
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Mathematics Standards
54Understanding
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Performance TasksDemonstrate mastery
Organized approach using multiple strategies
Fosters self-checking
Explanation of mathematical reasoning
Utilizes Mathematical Practices 55
http://insidemathematics.org/index.php/exemplary-lessons-integrating-practice-standards
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Odd Numbers
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Kate makes a pattern of squares.
She starts with one square, then adds three more, then five more, and so on.
1. Draw the next shape in her pattern.
2. How many new squares did she add?
3. What size square did you make?
1 x 1
2 x 2
3 x 3
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The total number of squares makes a number pattern. 1 = 1 x 1 = 1 1 +3 = 2 x 2 = 4 1 + 3 + 5 = 3 x 3 = 9
4. Write the next two lines of the number pattern.
5. Use the number pattern to find the total number of these numbers. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 =_________
6. Write down the number pattern that gives a total of 169. Explain your work.
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http://www.achieve.org/ccss-cte-classroom-tasks
2 cups = 1 pint2 pints = 1 quart4 quarts = 1 gallon16 fl oz = 1 pint
A local food company produces yogurt in 3/4 cup containers.
The tubs of yogurt are sold for 75¢ each. Twenty percent of this is profit for the food company. How much profit does the company make on each tub? The machine that fills the ¾ cup tubs with yogurt runs 10 hours a day for 5 days a week. It fills 1600 tubs an hour. How many gallons of yogurt are needed to fill 1600 tubs? How many gallons of yogurt are produced each week? What is the percent increase in production if the machine runs for 7 days a week instead of 5 days a week?
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Searching for Standards
• Overview of High School Content Standards– Alaska
Mathematics Standards document (p. 92)
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ETT and Wilderness First Aid
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ETT and Wilderness First Aid
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Searching for Standards
Brief Description of Alaska Mathematics Standards• Conference Handouts on
LiveBinders
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http://teacher.scholastic.com/products/mathematics/
Scholastic’s Math@Work is a web series that ties students’ classroom learning to their career aspirations.
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Don’t Forget the Mathematical Practices
Natural fit with the Career Ready Practices
Look for connections
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