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Dr. Brent MerrittAssistant Superintendent of Curriculum and Instruction• Welcome • Definition of Standards
Debbie Perry (K-5) / Lisa Bray (6-12)District Mathematics Coordinators• Rationale for New Standards• Introduction to New Standards• Resources for New Standards• Questions and Answers
Remarkable Teacher Teams• Learning Stations
AGENDA
Standards are statements that identify the knowledge and skills all students must achieve by the end of a grade level. Standards, or learning goals, become the guide that educators use to design curricula. Student mastery of standards is measured through state and local assessments, as well as in the classroom through informal and formal assessments, both formative and summative.
STANDARDS
The new mathematics standards are found on the
Midway “Parents” page.
STANDARDS
Under: Academics and Testing Resources
If you have questions during the presentation, please jot them
down so that we can address them at QUESTION & ANSWER time!
We will also be available for questions during learning stations.
State, National, International Test Results• Students can do calculations, but are
not successful with application
2001…Adding It Up: Helping Children Learn MathJoint mathematics research on children grades K-8• National Academy of Sciences• National Academy of Engineering• Institute of Medicine• National Research Council
RAT I ONALE
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2001…Adding It Up: Helping Children Learn Math
Research Implications:We need fewer, but deeper standards.• Readiness, supporting indicators• Process Standards• Curriculum focal pointsWe should attend to all components of proficiency.• Conceptual Understanding• Procedural Fluency• Strategic Competence• Adaptive Reasoning• Productive Disposition
RAT I ONALE
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2010…Texas Response to the Curriculum Focal Points
RESPONSE
2010…Curriculum Focal Points
(national)
2012…New Texas Mathematics
Standards2013…Revised Texas Response to the Curriculum Focal Points
2014-2015 K-8 Implementation of new Texas Essential Knowledge and Skills (TEKS)
GRADE 5 CURRICULUM FOCAL POINTS
Developing an understanding of and fluency with addition, subtraction, multiplication, and division of fractions and decimals.
Understanding and generating expressions and equations to solve problems
Representing and solving problems with perimeter, area, and volume
Organizing, representing, and interpreting sets of data
WHAT IS THE DIFFERENCE?
In some instances, there is little or no change to the actual student expectation.
The difference, however, will be apparent in the knowledge and skills statement.
5(3)(B) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, and divides to solve meaningful problems. The student is expected to use multiplication to solve problems involving whole numbers (no more than three digits times two digits without technology).
5(3)(B) Number and operations. The student applies mathematical process standards to develop and use strategies and methods fro positive rational number computations in order to solve problems with efficiency and accuracy.
The student is expected to multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
PREVIOUS
CURRENT
Similar
WHAT IS THE DIFFERENCE?
In some cases, concepts were moved to fifth grade from other grade levels.
Fifth received 3 standards from previous grade levels and 5 standards from subsequent grade levels.
The student is expected to use concrete models that approximate cubic units to determine the
volume of a given container or other three-dimensional geometric figures.
FROM GRADE 3 FROM GRADE 7
The student is expected to represent
multiplication and division situations
involving fractions and decimals with models,
including concrete objects, pictures, words,
and numbers.Two extremes…
CURRENT STANDARDS
WHAT IS THE DIFFERENCE?
In some standards, strategies or conceptual models are specified.
These concepts and strategies build the conceptual foundation for procedural fluency with abstract representations such as the standard algorithm.
5(3)(D) Represent multiplication of decimals with products to hundredths using objects
and pictorial models, including area models.
EXAMPLES WITH CONCEPTUAL MODELS
5(3)(F) Represent quotients of decimals to hundredths, up to 4-digit dividends and 2-digit whole number divisors, using objects
and pictorial models, including area models.
Multiplication
Division
Both are “supporting.”
5(3)(E) Solve for products of decimals to hundredths, including situations involving money, using strategies based on place
value understandings, properties of operations, and the relationship to the
multiplication of whole numbers.
ONE MORE EXAMPLE WITH CONCEPTUAL MODELS
Fluency with decimal multiplication occurs in grade 6.
READINESS
2.35 x 1.8
Place Value Understandings
235X 18188023504230
…so the decimal should go after
the 4.
2.35 is about 2 and 1.8 is about 2.
2 x 2 = 4…so the answer
should be near 4.
This strategy also uses the relationship of multiplication of
whole numbers…
Properties ofOperations
25 x 4
100 + 2 = 102
25.5 is the same thing as
25 + .525.5 x 4
.5 x 4100 one half of 4 is
2 The distributive property works well when multiplying decimal numbers
times whole numbers.
6.34 x 1.5
Several Strategies Combined
one whole 6.34
I need one and a half of 6.34.
One 6.34 is 6.34. A half of 6 is 3. A half of .34 is .17
6.34 + 3.17
9.51one half of
6.34Students may also use the standard
algorithm.
GRADE 6 CURRICULUM FOCAL POINTS
Using operations with integers and positive rational numbers to solve problems
Understanding and applying ratios and rates and using equivalent rations to represent proportional relationships
Using expressions and equations to represent relationships in a variety of contextsUnderstanding data representation
A few other differences for both grades 5 & 6…
Grades K-8 use the same process standards. In 2015-2016, grades 9-12 will implement these process standards.Personal financial literacy is included at K-8, and a new financial literacy course will be added to high school.
Parent Page, Midway ISD websiteDrop-down menu under: parents > academic and testing resources > new mathematics standards resources
RESOURCES
TEA WebsiteFar right column: “How do I…?” find the curriculum standards (TEKS)?
Pearson EnVision Online Platformhttps://www.pearsonrealize.com/McGraw Hill
Please know that your child is being led by excellent teachers who are doing an amazing job with a challenging transition!
The gaps in skills and knowledge are huge this year throughout Texas.
QUEST IONS?
I
Spend a few minutes at the mathematics learning stations provided by Midway intermediate teachers. Plan to visit more than your child’s grade level to get a more complete picture of our new standards.
STATIONS
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Thank you so much for joining us tonight! We appreciate your
interest in your child’s mathematical thinking.
Email questions to:[email protected]