INSTRUCTIONAL FOCUS DOCUMENT Grade 4...
Transcript of INSTRUCTIONAL FOCUS DOCUMENT Grade 4...
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
State Resources:
MTC 3 – 5: Equivalent Fractions http://www.txar.org/professional_dev/archived/training/materials/MTC/3-
5/Student%20Lessons/Grade%204%20Student%20Lesson%20Equiv%20Frac%2002.20.07.pdf
MTR K – 5: How Do I Compare? Let Me Count the Ways. http://www.txar.org/professional_dev/archived/training/materials/MTR/K-5/lessons/operation4_2.pdf
TEA STAAR Mathematics Resources: http://www.tea.state.tx.us/student.assessment/staar/math/
TEA STAAR Released Test Questions: http://www.tea.state.tx.us/student.assessment/staar/testquestions/
TEXTEAMS: Rethinking Elementary Mathematics Part I: Fraction
Rectangles Task Card; Same Name Task Card; More Same Name Task Card;
Fraction Riddles Task Card; Tenths Task Card; NOT Tenths Task Card;
Hundredths Task Card; Show Me! Tell Me! Task Card
TEXTEAMS: Rethinking Elementary Mathematics Part II: Fraction Frame
Game; Dice Fractions 2
IFD Legend
Bold, italic black; Knowledge and Skills Statement (TEKS)
Bold black; Student Expectation (TEKS)
Strike through: Indicates portions of the Student Expectation that are not included in this unit but are taught in previous or future units
Bold, italic red: Student Expectation identified by TEA as a Readiness Standard for STARR
Bold italic green: Student Expectation identified by TEA as a Supporting Standard for STARR
Blue: Supporting Information / Clarifications from CSCOPE (Specificity)
Italic blue: provides unit level clarification
UNIT TEST EITG INSTRUCTIONAL RESOURCE(S)
Mathematics Grade 04 Unit 06: Fractions
Matemáticas Grade 04 Unit 06: Fracciones
Matemáticas Grade 04 Unit 06: Possible Lesson 01
Matemáticas Grade 04 Unit 06: Possible Lesson 02
Mathematics Grade 04 Unit 06: Possible Lesson 01
Mathematics Grade 04 Unit 06: Possible Lesson 02
Mathematics Grade 04 3rd 6 Weeks Spiral Review
Matematicas Grade 04 Spanish 3rd 6 Weeks Spiral
Review
Mathematics Grade 04 Transition Alignment Guide (TAG)
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Tool
RATIONALE:
This unit bundles student expectations that address the concepts of fractions, including concrete and pictorial models, to represent equivalent fractions, fraction quantities greater than
one, and the relationships of decimals to fractions.
Prior to this unit, in Grade 3 Unit 06, students used fraction names and symbols to describe fractional parts of a whole, or sets of objects, and used whole numbers and fractions,
including halves and fourths, to locate and name points on a number line. Students also used fractional relationships of parts of a whole to include parts of a dollar, ruler, and clock.
Additionally, in Grade 4 Units 03 – 05, students used the operations of multiplication and division to solve problems. During this unit, students build on previously taught fractional
relationships and operational skills (multiplication and division) to facilitate an understanding of fractions and their equivalencies. This grouping of student expectations incorporates
models of fractional quantities to generate equivalent fractions and represent fractions greater than one. Also, students extend locating and naming points on a number line to include
decimals, such as tenths. This unit is taught before measurement to help students connect standard measurement tools to fractional number line concepts. After this unit, in Grade 5
Unit 07, students will use their understanding of fractions and their equivalencies, coupled with numerical and operational relationships of fractions and mixed numbers, to generate,
compare, add, and subtract fractions with like denominators, as well as relate fractions to decimals.
Using concrete and pictorial models to generate equivalent fractions, represent fractional quantities greater than one, and compare and order fractions are STAAR Supporting Standards
4.2A, 4.2B, and 4.2C. Using concrete and pictorial models to relate decimal to fractions that name tenths and hundredths and using whole numbers, fractions such as halves and
fourths, and decimals such as tenths to locate and name points on a number line are STAAR Readiness Standards 4.2D and 4.10. All of these standards are subsumed under the
Grade 4 Texas Response to Curriculum Focal Points (TxRCFP): Using fractions and decimals to describe parts of wholes and parts of sets.
According to the National Council of Teachers of Mathematics (2006), “students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1,
identifying equivalent fractions, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by
comparing models to symbols and locating equivalent symbols on the number line” (2006, p. 16). Van de Walle, Karp, & BayWilliams (2010) state that “Linear models are closely
connected to the realworld contexts in which fractions are commonly used—measuring…The number line also emphasizes that a fraction is one number as well as its relative size to
their numbers, which is not as clear when using area models. Importantly, the number line reinforces that there is always one more fraction that can be found between two fractions” (p.
290). Comparing and ordering fractions is identified as a focal point in the Grade 4 TEKS Introduction. Additionally, the National Mathematics Advisory Panel (2008) concludes that
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
Last Updated 02/22/2013
Print Date 08/09/2013 Printed By CARLOS CALDERON, NORTH ELpage 2 of 22
students “should be able to locate positive…fractions on a number line; represent and compare fractions, [and] decimals…and estimate their size” (p. 18).
National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics. Reston, VA: National Council of Teachers of
Mathematics, Inc.
National Mathematics Advisory Panel. (2008). The final report of the national mathematics advisory panel. Washington, DC.
Texas Education Agency. (2009). Texas response to curriculum focal points. Austin, TX: Author.
Van De Walle, J., K. Karp, & J. Bay-Williams. (2010). Elementary and middle school mathematics: Teaching developmentally. Boston, MA: Allyn & Bacon.
MISCONCEPTIONS/UNDERDEVELOPED CONCEPTS:
MISCONCEPTIONS:
Some students may think that a set model is not a whole since it refers to a collection of items. The idea of referring to a collection of items as a whole
confuses many students, especially if their fraction experiences are limited to area models.
Some students may think that it is not possible or may find it very difficult to model or draw more than one whole to show improper fractions greater than
one.
UNDERDEVELOPED CONCEPTS:
Some students may think that the numerator and the denominator of a fraction share no relationship and confuse which number represents the numerator
and which number represents the denominator. Remind students that the total number of equal parts should be the denominator, or bottom number of the
fraction. The numerator, or top number, of the fraction should be the number of parts under consideration.
Some students may think when a fraction is written using a diagonal line, such as 1/3, that the numerator and denominator have the same value. Only use
a horizontal line to clearly separate the two as shown here: . This form of writing fractions is called “case” fraction form (Galen, 2004).
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
Last Updated 02/22/2013
Print Date 08/09/2013 Printed By CARLOS CALDERON, NORTH ELpage 3 of 22
Some students may think fraction bars, similar to the example below, means that one block is worth 1 out of 5, the next block is worth 2 out of 5, etc. This
Some students may think that the fraction with the larger digit has the greater value. Although this is true in some instances, students need to be exposed
to problems where this is not true. Also, if students are using fraction strips, circles, or other fraction manipulatives, they will be able to compare fractions
without making this common error.
PERFORMANCE INDICATORS CONCEPTS KEY UNDERSTANDINGS FOR LEARNERS
Grade 04 Mathematics Unit 06 PI 01
Generate an equivalent fraction using a concrete or
pictorial model of each fraction in a given real-life situation.
Use a strategy to compare each of the fractions in the set,
and write a comparative statement using words and
symbols for each fraction. Justify, in writing, why each
comparative statement is reasonable and explain the
solution process.
Sample Performance Indicator:
Diagonal grid paper was used to create this
quilt design.
Numerical Understanding – Fractions;
Quantitative Reasoning – Equivalence
Underlying Process and Mathematical Tools – Tools to
Solve Problems; Observations; Mathematical Language
and Symbols
An equivalent fraction and/or an equivalent model can be
generated from a given fraction, concrete object and/or
pictorial model, and described using words, numbers, and
symbols.
Numerical Understanding – Fractions;
Quantitative Reasoning – Compare
Underlying Process and Mathematical Tools –
Observations; Mathematical Language and Symbols;
Justification of Reasonableness
When comparing fractions, concrete objects and pictorial
models should communicate that the greater the
denominator, the smaller the fraction unit.
When comparing fractions with the same denominator, or
parts of the same size, concrete objects and pictorial
models should communicate that the fraction with the
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
Last Updated 02/22/2013
Print Date 08/09/2013 Printed By CARLOS CALDERON, NORTH ELpage 4 of 22
PERFORMANCE INDICATORS CONCEPTS KEY UNDERSTANDINGS FOR LEARNERS
Label and shade the grid below to show the number of
each quilt color used in the design.
Use the grid to generate the fractional equivalents of each
color in the design. Apply a strategy to compare the
fractions and to write a comparative statement with words
and symbols for the following: (1) fractional parts of yellow
to fractional parts of red, (2) fractional parts of yellow to
fractional parts of blue, (3) fractional parts of yellow to
fractional parts of green, (4) fractional parts of red to
fractional parts of blue, (5) fractional parts of red to
greater numerator is the larger fraction because it has
more same size parts.
When comparing fractions with the same numerator,
concrete objects and pictorial models should
communicate that the fraction with the larger denominator
is the smaller fraction because it has smaller same size
parts.
Numerical Understanding – Fractions
Quantitative Reasoning – Compare
Underlying Process and Mathematical Tools –
Mathematics in Everyday Situations; Tools to Solve
Problems; Observations; Mathematical Language and
Symbols; Justification of Reasonableness
The value of two fractional quantities in a real-life situation
can be compared and justified from observations using a
variety of methods such as concrete objects and pictorial
models.
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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PERFORMANCE INDICATORS CONCEPTS KEY UNDERSTANDINGS FOR LEARNERS
fractional parts of green, and (6) fractional parts of blue to
fractional parts of green. Write a journal entry to justify why
each comparative statement is reasonable, and explain
the solution process.
Standard(s): 4.2A , 4.2C , 4.14A , 4.14D , 4.15A ,
4.15B , 4.16B
ELPS ELPS.c.1E , ELPS.c.5B , ELPS.c.5G
Grade 04 Mathematics Unit 06 PI 02
Generate an equivalent fraction and decimal from a given
concrete or pictorial model that contains at least one
fractional quantity greater than one and represents a real-
life scenario. Place each equivalent fraction at its
approximate location on a number line. In a journal entry,
describe the strategy used to order the fraction totals from
least to greatest.
Sample Performance Indicator:
Kaytlynn shaded a hundredths grid on the
card below to create a tile design. In a table,
record a fraction and decimal for each of
the four parts of Kaytlynn’s grid (e.g., black,
white, gray, and striped).
Numerical Understanding – Fractions;
Quantitative Reasoning – Equivalence
Underling Process and Mathematical Tools – Tools to
Solve Problems; Observations; Mathematical Language
and Symbols
An equivalent fraction and/or an equivalent model can be
generated from a given fraction, concrete object and/or
pictorial model, and described using words, numbers, and
symbols.
Numerical Understanding – Fractions; Decimals
Underling Process and Mathematical Tools – Tools to
Solve Problems; Mathematical Language and Symbols
Fractions can be related to decimals that name tenths and
hundredths by using concrete objects and pictorial
models.
Numerical Understanding – Fractions; Mixed Numbers
Underling Process and Mathematical Tools –
Mathematical Language and Symbols
A mixed number is a number greater than one that
represents the sum of two parts: a whole number part and
a fractional part.
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
Last Updated 02/22/2013
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PERFORMANCE INDICATORS CONCEPTS KEY UNDERSTANDINGS FOR LEARNERS
Complete Brandon’s design to create the same tile
design as Kaytlynn. In the same table, record a fraction
and decimal for each of the four parts of Brandon’s grid
(e.g., black, white, gray, and striped). Combine the fraction
totals and decimal equivalents for each of the four parts of
both Brandon’s and Kaytlynn’s grids.
Place each fraction total at its approximate location on a
number line. In a journal entry, describe the strategy used
to order the fraction totals from least to greatest.
Standard(s): 4.2A , 4.2B , 4.2C , 4.2D , 4.10 ,
4.14A , 4.14D , 4.15A , 4.15B , 4.16A , 4.16B
ELPS ELPS.c.1E , ELPS.c.5F
Numerical Understanding – Fractions; Mixed Numbers
Underling Process and Mathematical Tools – Tools to
Solve Problems; Mathematical Language and Symbols
A mixed number can be represented using concrete
models and pictorial representations.
Numerical Understanding – Fractions; Mixed Numbers;
Improper Fractions
Quantitative Reasoning – Compare; Order
Spatial Reasoning – Number Lines
Underling Process and Mathematical Tools –
Mathematics in Everyday Situations; Tools to Solve
Problems; Mathematical Language and Symbols;
Justification of Reasonableness
Fractions in real-life situations can involve mixed numbers
and improper fractions, both of which can be modeled,
compared, and ordered on a number line to demonstrate
and justify their numerical value in relation to one another.
Numerical Understanding – Fractions; Mixed Numbers;
Improper Fractions
Quantitative Reasoning – Compare; Order
Underling Process and Mathematical Tools –
Mathematics in Everyday Situations; Tools to Solve
Problems; Observations; Mathematical Language and
The value of an improper fraction and a mixed number in a
real-life situation can be compared and justified from
observations and generalizations using concrete models
and pictorial representations.
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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PERFORMANCE INDICATORS CONCEPTS KEY UNDERSTANDINGS FOR LEARNERS
Symbols; Generalizations; Justification of
Reasonableness
KEY ACADEMIC VOCABULARY SUPPORTING CONCEPTUAL DEVELOPMENT
Equivalent fractions – fractions that have the same value
Fraction – a number in the form or a/b where a and b are whole numbers and b is not zero. A fraction can be used to name part of an object, part of a
set of objects, to compare two quantities, or to represent division
Improper fraction – a fraction with a numerator that is greater than or equal to the denominator and whose value is greater than or equal to oneMixed number – a number that has a whole number part and a fractional part
TEKS UNIT LEVEL SPECIFICITY
4.2 Number, operation, and quantitative reasoning. The student describes and
compares fractional parts of whole objects or sets of objects. The student is
expected to
4.2A Use concrete objects and pictorial models to generate equivalent
fractions.
Supporting Standard
Use, Describe
CONCRETE OBJECTS AND PICTORIAL MODELS OF EQUIVALENT
FRACTIONS
Including, but not limited to:
Same form of concrete and pictorial models to
represent fraction equivalence (do not compare a
fraction circle to a fraction square, etc.)
TEKS#
SE#
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Whole object models
Ex: area models (e.g., fraction circles,
fraction bars, pattern blocks, color tiles,
etc.)
Ex: linear model types (e.g., fraction bars,
paper folding, number lines, customary
rulers, etc.)
Set of objects
Ex: pattern blocks, color tiles, counters,
etc.
Equivalent fractions using concrete objects, pictorial
models, and number lines
Equivalent to one whole
Less than one whole
Greater than one whole
Fraction models of equivalence
Generate
EQUIVALENT FRACTIONS MODELS
Including, but not limited to:
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Concrete objects and pictorial models
Different fractions used to represent the same portion
of a whole
Equivalent fractions when given two whole numbers in
a real-life situation
Ex: Construct a pictorial model to answer the
following: if 6 of the 10 dogs have spots, what
fraction represents the spotted dogs? (3/5)
Note:
Grade 3 introduces constructing models of equivalent
fractions for fractional parts of whole objects.
Grade 4 introduces using concrete objects and
pictorial models to generate equivalent fractions.
4.2B Model fraction quantities greater than one using concrete objects and
pictorial models.
Supporting Standard
Model, Describe
FRACTION QUANTITIES GREATER THAN ONE
Including, but not limited to:
Fraction models greater than or equal to one
(improper fractions and mixed numbers)
Whole object models
Ex: area models (e.g., fraction circles,
fraction bars, pattern blocks, color tiles,
etc.)
Ex: linear model types (e.g., fraction bars,
paper folding, number lines, customary
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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Print Date 08/09/2013 Printed By CARLOS CALDERON, NORTH ELpage 10 of 22
TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
rulers, etc.)
Whole may consist of more than one
object
Ex: two hexagons = one whole; 10
color tiles = one whole, etc.
Set of objects
Ex: pattern blocks, color tiles, counters,
pictures, etc.
Relationship of numerator and denominator to the
concrete object or pictorial model (numerator is greater
than the denominator)
Differences and similarities between proper and
improper fractions (e.g.,3/4 and 4/3)
Equivalence relationship between improper fractions
and mixed numbers
Concrete models to show connections between
mixed numbers and improper fractions
Fraction names and symbols to represent the concrete
objects and pictorial models (concrete or pictorial to
numeric)
Ex: 7/4 (improper), 7 out of 4 equal parts, or 1¾ (mixed number)
Mixed numbers
Ex: 1¾ is read as one and threefourths.Determining the whole when given one fractional part
Real-life situations
Note:
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
Last Updated 02/22/2013
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Grade 4 introduces improper fractions as fractions
greater than 1.
Grade 4 transitions from concrete to pictorial for
fractions greater than one.
Grade 4 is laying the conceptual foundation for mixed
numbers and improper fractions.
Grade 5 generates mixed numbers and improper
fractions transitioning from the concrete to the
abstract.
4.2C Compare and order fractions using concrete objects and pictorial models.
Supporting Standard
Compare, Order, Describe
FRACTIONS USING MODELS
Including, but not limited to:
Problem situations involving fractions using models
Concrete objects
Pictorial models
Distance on a number line
Comparative language
Less than one whole, less than, or (<)
Equal to one whole, equal to, or (=)
Greater than one whole, greater than, or (>)
Denominator size (the smaller the number, the larger
the part size or the larger the number, the smaller the
part size)
Strategies for comparing fractions
Fractions with common numerators by
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
comparing denominators
Fractions with common denominators by
comparing numerators
Unlike numerators and denominators
Pictorial models
Concrete models
Benchmark comparisons
Justify solution for reasonableness
Real-life situations
Note:
Grade 3 introduces the comparison of fractional parts
of whole objects or sets of objects using concrete
models and the pictorial representations of the
concrete models.
Grade 4 transitions from the concrete to the pictorial
model to compare and order fractions.
4.2D Relate decimals to fractions that name tenths and hundredths using
concrete objects and pictorial models.
Readiness Standard
Relate
DECIMAL MODELS TO FRACTION MODELS
Including, but not limited to:
Decimals to fractions using tenths and hundredths
Decimals to fractions using models
Concrete objects
Pictorial models
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Distance on a number line
A variety of equivalent relationships that connect
models, fraction notation, and decimal notation
Equivalent representations
0.01 = 1/100
1.50 = 1.5 =1 5/10 = 1 1/2
0.75 = 3/4
75 cents is 3 quarters, which is equal to 3/4 of a
dollar or $0.75.
Note:
Grade 4 relates fractions and decimals using models
only.
Grade 4 introduces the tenths and hundredths place.
4.10 Geometry and spatial reasoning. The student recognizes the connection
between numbers and their properties and points on a line. The student is
expected to:
4.10 Locate and name points on a number line using whole numbers, fractions
such as halves and fourths, and decimals such as tenths.
Readiness Standard
Locate, Name, Use, Recognize
POINTS ON A NUMBER LINE
Including, but not limited to:
Types of points
Whole numbers
Skip counting or multiples
Ex: 225, 250, 275, ?, 325
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Fractions
Halves
Fourths
Ex: 1/4, 2/4, ___, 4/4
Eighths increments as shown on a ruler
Decimals
Tenths
Hundredths
Points on a number line that are missing but have at
least two points numbered to indicate the interval being
used
Points on a number line that may or may not begin with
zero but have at least two points numbered to indicate
the interval being used
The relationship of whole numbers and fractions on a
number line and measurement tools (ruler, scales,
etc.)
An understanding of whole numbers on a number line
in relation to the vertical number line on the
thermometer, the circular number line on a clock, etc.
(including various increments)
4.14 Underlying processes and mathematical tools. The student applies Grade 4
mathematics to solve problems connected to everyday experiences and
activities in and outside of school. The student is expected to:
4.14A Identify the mathematics in everyday situations. Identify, Apply, Solve
MATHEMATICS IN PROBLEM SITUATIONS
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Including, but not limited to:
Everyday real-life situations
Classroom created activities
STAAR Note:
The process skills will be incorporated into at least
75% of the test questions and will be identified along
with content standards.
4.14D Use tools such as real objects, manipulatives, and technology to solve
problems.
Use
TOOLS
Including, but not limited to:
Real objects
Manipulatives
Technology
Solve
PROBLEM SITUATIONS INVOLVING MATHEMATICS
Including, but not limited to:
Everyday real-life situations
Classroom created activities
STAAR Note:
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
The process skills will be incorporated into at least
75% of the test questions and will be identified along
with content standards
STAAR Note:
The process skills will be incorporated into at least
75% of the test questions and will be identified along
with content standards
4.15 Underlying processes and mathematical tools. The student communicates
about Grade 4 mathematics using informal language. The student is expected
to
4.15A Explain and record observations using objects, words, pictures, numbers,
and technology.
Explain, Record, Communicate
OBSERVATIONS
Including, but not limited to:
Objects
Words
Pictures
Numbers
Technology
STAAR Note:
The process skills will be incorporated into at least
75% of the test questions and will be identified along
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
with content standards.
4.15B Relate informal language to mathematical language and symbols. Relate, Communicate
LANGUAGE
Including, but not limited to:
Informal language to mathematical language and
symbols
STAAR Note:
The process skills will be incorporated into at least
75% of the test questions and will be identified along
with content standards.
4.16 Underlying processes and mathematical tools. The student uses logical
reasoning. The student is expected to:
4.16A Make generalizations from patterns or sets of examples and nonexamples. Make
GENERALIZATIONS
Including, but not limited to:
Patterns
Sets of examples
Use
LOGICAL REASONING
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
Including, but not limited to:
Justification of thinking
STAAR Note:
The process skills will be incorporated into at least
75% of the test questions and will be identified along
with content standards.
4.16B Justify why an answer is reasonable and explain the solution process. Justify
REASONABLENESS OF AN ANSWER
Including, but not limited to:
Objects
Words
Pictures
Numbers
Logical reasoning
Explain
SOLUTION PROCESS
Including, but not limited to:
Verbally
Words
Pictorially
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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TEKS UNIT LEVEL SPECIFICITYTEKS#
SE#
STAAR Note:
The process skills will be incorporated into at least
75% of the test questions and will be identified along
with content standards.
UNDERLYING PROCESSES AND MATHEMATICAL TOOLS TEKS: USE APPROPRIATE PROCESSES AND TOOLS TO SUPPORT INSTRUCTION.
4.14 Underlying processes and mathematical tools. The student applies Grade 4 mathematics to solve problems connected to everyday
experiences and activities in and outside of school. The student is expected to:
4.14A identify the mathematics in everyday situations
4.14B solve problems that incorporate understanding the problem, making a plan, carrying out the plan, and evaluating the solution for
reasonableness
4.14C select or develop an appropriate problem-solving plan or strategy, including drawing a picture, looking for a pattern, systematic
guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem
4.14D use tools such as real objects, manipulatives, and technology to solve problems
4.15 Underlying processes and mathematical tools. The student communicates about Grade 4 mathematics using informal language. The
student is expected to
4.15A explain and record observations using objects, words, pictures, numbers, and technology
4.15B relate informal language to mathematical language and symbols
4.16 Underlying processes and mathematical tools. The student uses logical reasoning. The student is expected to:
TEKS#
SE#
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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UNDERLYING PROCESSES AND MATHEMATICAL TOOLS TEKS: USE APPROPRIATE PROCESSES AND TOOLS TO SUPPORT INSTRUCTION.TEKS#
SE#
4.16A make generalizations from patterns or sets of examples and nonexamples
4.16B justify why an answer is reasonable and explain the solution process
The English Language Proficiency Standards (ELPS), as required by 19 Texas Administrative Code, Chapter 74, Subchapter A, §74.4, outline Englishlanguage proficiency level descriptors and student expectations for English language learners (ELLs). School districts are required to implement
ELPS as an integral part of each subject in the required curriculum.
School districts shall provide instruction in the knowledge and skills of the foundation and enrichment curriculum in a manner that is linguistically accommodated commensurate with
the student’s levels of English language proficiency to ensure that the student learns the knowledge and skills in the required curriculum.
School districts shall provide content-based instruction including the cross-curricular second language acquisition essential knowledge and skills in subsection (c) of the ELPS in a
manner that is linguistically accommodated to help the student acquire English language proficiency.
http://ritter.tea.state.tx.us/rules/tac/chapter074/ch074a.html#74.4
ELPS# SUBSECTION C: CROSS-CURRICULAR SECOND LANGUAGE ACQUISITION ESSENTIAL KNOWLEDGE AND SKILLS.
ELPS.c.1 Cross-curricular second language acquisition/learning strategies
ELPS.c.1 The ELL uses language learning strategies to develop an awareness of his or her own learning processes in all content areas. In order
for the ELL to meet grade-level learning expectations across the foundation and enrichment curriculum, all instruction delivered in
English must be linguistically accommodated (communicated, sequenced, and scaffolded) commensurate with the student's level of
English language proficiency. The student is expected to:
ELPS.c.1E internalize new basic and academic language by using and reusing it in meaningful ways in speaking and writing activities that
build concept and language attainment
ELPS.c.5 Cross-curricular second language acquisition/writing
ELPS.c.5 The ELL writes in a variety of forms with increasing accuracy to effectively address a specific purpose and audience in all content
areas. ELLs may be at the beginning, intermediate, advanced, or advanced high stage of English language acquisition in writing. In
order for the ELL to meet grade-level learning expectations across foundation and enrichment curriculum, all instruction delivered in
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
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ELPS# SUBSECTION C: CROSS-CURRICULAR SECOND LANGUAGE ACQUISITION ESSENTIAL KNOWLEDGE AND SKILLS.
English must be linguistically accommodated (communicated, sequenced, and scaffolded) commensurate with the student's level of
English language proficiency. For Kindergarten and Grade 1, certain of these student expectations do not apply until the student has
reached the stage of generating original written text using a standard writing system. The student is expected to:
ELPS.c.5B write using newly acquired basic vocabulary and content-based grade-level vocabulary
ELPS.c.5F write using a variety of grade-appropriate sentence lengths, patterns, and connecting words to combine phrases, clauses, and
sentences in increasingly accurate ways as more English is acquired
ELPS.c.5G narrate, describe, and explain with increasing specificity and detail to fulfill content area writing needs as more English is
acquired.
INSTRUCTIONAL FOCUS DOCUMENTGrade 4 Matematicas,Mathematics
UNIT : 06 TITLE : Unit 06: Fractions SUGGESTED DURATION : 12 days
Last Updated 02/22/2013
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