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Grade 3 Mathematics 

    Assessment


Eligible Texas Essential

 Knowledge and Skills 





          Texas Education Agency

        Student Assessment Division

                 Fall 2010
STAAR Grade 3 Mathematics Assessment
Reporting Category 1:

Numbers, Operations, and Quantitative Reasoning

The student will demonstrate an understanding of numbers, operations,

and quantitative reasoning.


(3.1)	 Number, operation, and quantitative reasoning. The student uses
       place value to communicate about increasingly large whole numbers in
       verbal and written form, including money. The student is expected to

        (A)	     use place value to read, write (in symbols and words), and
                 describe the value of whole numbers through 999,999;
                 Supporting Standard
        (B)	     use place value to compare and order whole numbers through
                 9,999; and Supporting Standard
        (C) 	    determine the value of a collection of coins and bills.
                 Supporting Standard
(3.2)	 Number, operation, and quantitative reasoning. The student uses
       fraction names and symbols (with denominators of 12 or less) to describe
       fractional parts of whole objects or sets of objects. The student is expected
       to

        (C)	     use fraction names and symbols to describe fractional parts of whole
                 objects or sets of objects. Readiness Standard
(3.3)	 Number, operation, and quantitative reasoning. The student adds and
       subtracts to solve meaningful problems involving whole numbers. The
       student is expected to

        (A)	     model addition and subtraction using pictures, words, and numbers;
                 and Supporting Standard
        (B)	     select addition or subtraction and use the operation to solve
                 problems involving whole numbers through 999.
                 Readiness Standard
(3.4)	 Number, operation, and quantitative reasoning. The student
       recognizes and solves problems in multiplication and division situations. The
       student is expected to

        (A)	     learn and apply multiplication facts through 12 by 12 using
                 [concrete] models [and objects]; Supporting Standard
        (B)	     solve and record multiplication problems (up to two digits times one
                 digit); and Readiness Standard


STAAR Grade 3 Mathematics	                                                 Page 2 of 8

                                    Texas Education Agency

                                  Student Assessment Division

                                           Fall 2010
(C)      use models to solve division problems and use number sentences to
                 record the solutions. Readiness Standard
(3.5)	 Number, operation, and quantitative reasoning. The student estimates
       to determine reasonable results. The student is expected to

        (A) 	    round whole numbers to the nearest ten or hundred to approximate
                 reasonable results in problem situations; and
                 Supporting Standard
        (B) 	    use strategies including rounding and compatible numbers to
                 estimate solutions to addition and subtraction problems.
                 Supporting Standard




STAAR Grade 3 Mathematics	                                            Page 3 of 8

                                   Texas Education Agency

                                 Student Assessment Division

                                          Fall 2010
Reporting Category 2:

Patterns, Relationships, and Algebraic Reasoning 

The student will demonstrate an understanding of patterns, relationships,

and algebraic reasoning.


(3.6)	 Patterns, relationships, and algebraic thinking. The student uses
       patterns to solve problems. The student is expected to

        (A)	     identify and extend whole-number and geometric patterns to make
                 predictions and solve problems; Supporting Standard
        (B)	     identify patterns in multiplication facts using [concrete objects,]
                 pictorial models, [or technology]; and Supporting Standard
        (C)	     identify patterns in related multiplication and division sentences
                 (fact families) such as 2  3 = 6, 3  2 = 6, 6 ÷ 2 = 3, 6 ÷ 3 = 2.
                 Supporting Standard

(3.7)	 Patterns, relationships, and algebraic thinking. The student uses lists,
       tables, and charts to express patterns and relationships. The student is
       expected to

        (A)	     generate a table of paired numbers based on a real-life situation
                 such as insects and legs; and Supporting Standard
        (B)	     identify and describe patterns in a table of related number pairs
                 based on a meaningful problem and extend the table.
                 Readiness Standard




STAAR Grade 3 Mathematics	                                                Page 4 of 8

                                    Texas Education Agency

                                  Student Assessment Division

                                           Fall 2010
Reporting Category 3:

Geometry and Spatial Reasoning 

The student will demonstrate an understanding of geometry and spatial

reasoning.


(3.8)	 Geometry and spatial reasoning. The student uses formal geometric
       vocabulary. The student is expected to

        (A)	     identify, classify, and describe two- and three-dimensional
                 geometric figures by their attributes. The student compares two-
                 dimensional figures, three-dimensional figures, or both by their
                 attributes using formal geometry vocabulary. Readiness Standard
(3.9)	 Geometry and spatial reasoning. The student recognizes congruence
       and symmetry. The student is expected to

        (A) 	    identify congruent two-dimensional figures; and
                 Supporting Standard
        (C)      identify lines of symmetry in two-dimensional geometric figures.
                 Supporting Standard
(3.10)	 Geometry and spatial reasoning. The student recognizes that a line can
        be used to represent numbers and fractions and their properties and
        relationships. The student is expected to

        (A) 	    locate and name points on a number line using whole numbers and
                 fractions, including halves and fourths. Readiness Standard




STAAR Grade 3 Mathematics	                                             Page 5 of 8

                                   Texas Education Agency

                                 Student Assessment Division

                                          Fall 2010
Reporting Category 4:

Measurement

The student will demonstrate an understanding of the concepts and uses

of measurement.


(3.11)	 Measurement. The student directly compares the attributes of length,
        area, weight/mass, and capacity, and uses comparative language to solve
        problems and answer questions. The student selects and uses standard
        units to describe length, area, capacity/volume, and weight/mass. The
        student is expected to

        (A)	     use linear measurement tools to estimate and measure lengths
                 using standard units; Supporting Standard
        (B)	     use standard units to find the perimeter of a shape; and
                 Readiness Standard
        (C)	     use [concrete and] pictorial models of square units to determine the
                 area of two-dimensional surfaces. Supporting Standard
(3.12)	 Measurement. The student reads and writes time and measures
        temperature in degrees Fahrenheit to solve problems. The student is
        expected to

        (A)	     use a thermometer to measure temperature; and
                 Supporting Standard
        (B) 	    tell and write time shown on analog and digital clocks.
                 Supporting Standard




STAAR Grade 3 Mathematics	                                                 Page 6 of 8

                                   Texas Education Agency

                                 Student Assessment Division

                                          Fall 2010
Reporting Category 5:

Probability and Statistics

The student will demonstrate an understanding of probability and

statistics.


(3.13)	 Probability and statistics. The student solves problems by collecting,
        organizing, displaying, and interpreting sets of data. The student is
        expected to

        (A)	     collect, organize, record, and display data in pictographs and bar
                 graphs where each picture or cell might represent more than one
                 piece of data; Readiness Standard
        (B) 	    interpret information from pictographs and bar graphs; and
                 Supporting Standard
        (C)	     use data to describe events as more likely than, less likely than, or
                 equally likely as. Supporting Standard




STAAR Grade 3 Mathematics	                                               Page 7 of 8

                                    Texas Education Agency

                                  Student Assessment Division

                                           Fall 2010
Underlying Processes and Mathematical Tools
These skills will not be listed under a separate reporting category.
Instead, they will be incorporated into at least 75% of the test questions
in reporting categories 1–5 and will be identified along with content
standards.

(3.14)	 Underlying processes and mathematical tools. The student applies
        Grade 3 mathematics to solve problems connected to everyday experiences
        and activities in and outside of school. The student is expected to

        (A)	     identify the mathematics in everyday situations;
        (B) 	    solve problems that incorporate understanding the problem, making
                 a plan, carrying out the plan, and evaluating the solution for
                 reasonableness;
        (C)	     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; and
        (D) 	    use tools such as real objects, manipulatives, and technology to
                 solve problems.
(3.15)	 Underlying processes and mathematical tools. The student
        communicates about Grade 3 mathematics using informal language. The
        student is expected to

        (A) 	    explain and record observations using objects, words, pictures,
                 numbers, and technology; and
        (B) 	    relate informal language to mathematical language and symbols.
(3.16)	 Underlying processes and mathematical tools. The student uses logical
        reasoning. The student is expected to

        (A)	     make generalizations from patterns or sets of examples and
                 nonexamples; and
        (B)	     justify why an answer is reasonable and explain the solution
                 process.




STAAR Grade 3 Mathematics	                                             Page 8 of 8

                                   Texas Education Agency

                                 Student Assessment Division

                                          Fall 2010

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Assess curr mathg03

  • 1. Grade 3 Mathematics Assessment Eligible Texas Essential Knowledge and Skills Texas Education Agency Student Assessment Division Fall 2010
  • 2. STAAR Grade 3 Mathematics Assessment Reporting Category 1: Numbers, Operations, and Quantitative Reasoning The student will demonstrate an understanding of numbers, operations, and quantitative reasoning. (3.1) Number, operation, and quantitative reasoning. The student uses place value to communicate about increasingly large whole numbers in verbal and written form, including money. The student is expected to (A) use place value to read, write (in symbols and words), and describe the value of whole numbers through 999,999; Supporting Standard (B) use place value to compare and order whole numbers through 9,999; and Supporting Standard (C) determine the value of a collection of coins and bills. Supporting Standard (3.2) Number, operation, and quantitative reasoning. The student uses fraction names and symbols (with denominators of 12 or less) to describe fractional parts of whole objects or sets of objects. The student is expected to (C) use fraction names and symbols to describe fractional parts of whole objects or sets of objects. Readiness Standard (3.3) Number, operation, and quantitative reasoning. The student adds and subtracts to solve meaningful problems involving whole numbers. The student is expected to (A) model addition and subtraction using pictures, words, and numbers; and Supporting Standard (B) select addition or subtraction and use the operation to solve problems involving whole numbers through 999. Readiness Standard (3.4) Number, operation, and quantitative reasoning. The student recognizes and solves problems in multiplication and division situations. The student is expected to (A) learn and apply multiplication facts through 12 by 12 using [concrete] models [and objects]; Supporting Standard (B) solve and record multiplication problems (up to two digits times one digit); and Readiness Standard STAAR Grade 3 Mathematics Page 2 of 8 Texas Education Agency Student Assessment Division Fall 2010
  • 3. (C) use models to solve division problems and use number sentences to record the solutions. Readiness Standard (3.5) Number, operation, and quantitative reasoning. The student estimates to determine reasonable results. The student is expected to (A) round whole numbers to the nearest ten or hundred to approximate reasonable results in problem situations; and Supporting Standard (B) use strategies including rounding and compatible numbers to estimate solutions to addition and subtraction problems. Supporting Standard STAAR Grade 3 Mathematics Page 3 of 8 Texas Education Agency Student Assessment Division Fall 2010
  • 4. Reporting Category 2: Patterns, Relationships, and Algebraic Reasoning The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning. (3.6) Patterns, relationships, and algebraic thinking. The student uses patterns to solve problems. The student is expected to (A) identify and extend whole-number and geometric patterns to make predictions and solve problems; Supporting Standard (B) identify patterns in multiplication facts using [concrete objects,] pictorial models, [or technology]; and Supporting Standard (C) identify patterns in related multiplication and division sentences (fact families) such as 2 3 = 6, 3 2 = 6, 6 ÷ 2 = 3, 6 ÷ 3 = 2. Supporting Standard (3.7) Patterns, relationships, and algebraic thinking. The student uses lists, tables, and charts to express patterns and relationships. The student is expected to (A) generate a table of paired numbers based on a real-life situation such as insects and legs; and Supporting Standard (B) identify and describe patterns in a table of related number pairs based on a meaningful problem and extend the table. Readiness Standard STAAR Grade 3 Mathematics Page 4 of 8 Texas Education Agency Student Assessment Division Fall 2010
  • 5. Reporting Category 3: Geometry and Spatial Reasoning The student will demonstrate an understanding of geometry and spatial reasoning. (3.8) Geometry and spatial reasoning. The student uses formal geometric vocabulary. The student is expected to (A) identify, classify, and describe two- and three-dimensional geometric figures by their attributes. The student compares two- dimensional figures, three-dimensional figures, or both by their attributes using formal geometry vocabulary. Readiness Standard (3.9) Geometry and spatial reasoning. The student recognizes congruence and symmetry. The student is expected to (A) identify congruent two-dimensional figures; and Supporting Standard (C) identify lines of symmetry in two-dimensional geometric figures. Supporting Standard (3.10) Geometry and spatial reasoning. The student recognizes that a line can be used to represent numbers and fractions and their properties and relationships. The student is expected to (A) locate and name points on a number line using whole numbers and fractions, including halves and fourths. Readiness Standard STAAR Grade 3 Mathematics Page 5 of 8 Texas Education Agency Student Assessment Division Fall 2010
  • 6. Reporting Category 4: Measurement The student will demonstrate an understanding of the concepts and uses of measurement. (3.11) Measurement. The student directly compares the attributes of length, area, weight/mass, and capacity, and uses comparative language to solve problems and answer questions. The student selects and uses standard units to describe length, area, capacity/volume, and weight/mass. The student is expected to (A) use linear measurement tools to estimate and measure lengths using standard units; Supporting Standard (B) use standard units to find the perimeter of a shape; and Readiness Standard (C) use [concrete and] pictorial models of square units to determine the area of two-dimensional surfaces. Supporting Standard (3.12) Measurement. The student reads and writes time and measures temperature in degrees Fahrenheit to solve problems. The student is expected to (A) use a thermometer to measure temperature; and Supporting Standard (B) tell and write time shown on analog and digital clocks. Supporting Standard STAAR Grade 3 Mathematics Page 6 of 8 Texas Education Agency Student Assessment Division Fall 2010
  • 7. Reporting Category 5: Probability and Statistics The student will demonstrate an understanding of probability and statistics. (3.13) Probability and statistics. The student solves problems by collecting, organizing, displaying, and interpreting sets of data. The student is expected to (A) collect, organize, record, and display data in pictographs and bar graphs where each picture or cell might represent more than one piece of data; Readiness Standard (B) interpret information from pictographs and bar graphs; and Supporting Standard (C) use data to describe events as more likely than, less likely than, or equally likely as. Supporting Standard STAAR Grade 3 Mathematics Page 7 of 8 Texas Education Agency Student Assessment Division Fall 2010
  • 8. Underlying Processes and Mathematical Tools These skills will not be listed under a separate reporting category. Instead, they will be incorporated into at least 75% of the test questions in reporting categories 1–5 and will be identified along with content standards. (3.14) Underlying processes and mathematical tools. The student applies Grade 3 mathematics to solve problems connected to everyday experiences and activities in and outside of school. The student is expected to (A) identify the mathematics in everyday situations; (B) solve problems that incorporate understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness; (C) 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; and (D) use tools such as real objects, manipulatives, and technology to solve problems. (3.15) Underlying processes and mathematical tools. The student communicates about Grade 3 mathematics using informal language. The student is expected to (A) explain and record observations using objects, words, pictures, numbers, and technology; and (B) relate informal language to mathematical language and symbols. (3.16) Underlying processes and mathematical tools. The student uses logical reasoning. The student is expected to (A) make generalizations from patterns or sets of examples and nonexamples; and (B) justify why an answer is reasonable and explain the solution process. STAAR Grade 3 Mathematics Page 8 of 8 Texas Education Agency Student Assessment Division Fall 2010