GRADE 4 - Mathematics

1 TEKSING TOWARD STAAR 2014 GRADE4 STAAR FormatSkillsandConceptsOrganized byTEKS Categories MATHEMATICSTEKSING TOWARD STAARTEKSING TOWARD STAAR 2014 Page1 OVERVIEWG rade4 Open-Ended Skills and ConceptsThis document was created with all students in mind and provides teachers with sets of 5 open-endedquestions to assess student masteryof all GRADE levelTEKS, including the Process Standards TEKS,and the TEKS not assessed on ofquestions in this document is correlated to aspecific Category and are 9 sets of 5 open-ended questions to assess student mastery of each of the 7 ProcessStandards TEKS. Each question on each set is also correlated to another TEKS. There is onequestion in each of the sets for each of the Process Standards TEKS that addresses each of thegrade level materials canbe utilized for guided practice, independent practice, or homework. Thesematerials can be utilized with a whole class,or insmall groups and/or tutorial :There is no answer key provided for the Skills and Concepts problems as the author'sphilosophy is that each teacher should create a personalized Solutions Manual so the teacher becomesmore familiar with the Revised TEKS and assessment of the Revised TEKS, as well as formulatesvarious solution strategies for each question.

2 Teachers are encouraged to communicate with theauthor regarding discussion of any question in this 'S VISION FOR IMPLEMENTATION- SKILLS AND CONCEPTS Skills and Concepts are open-ended questions that are organized Skillsand Concepts includes 5 open-ended questions. The teacher sets a time limit prior to students beginning the Skills and Conceptsif the material isbeing utilized for independent practice. Students work on Skills and Concepts in partner pairseven during independent practice. Partnerpairs are given specific share questions on the Skills and Concepts. The process that should befollowed by all partner pairs is to complete the question(s) they are assigned, then work on the otherquestions until time is called. The teacher calls time and the partner pairs guide class discussion on their share questions who did not complete the Skills and Concepts prior to the time limit mayrecord on their individual papers during the discussion time but must record in a different color.

3 A Skills and Concepts should not be sent home for homework until the majority of the class hasdemonstrated mastery of the TEKS addressed. MATHEMATICSTEKSING TOWARD STAARTEKSING TOWARD STAARGRADE4 SKILLS AND CONCEPTST able of ContentsTEKSING TOWARD STAAR 2014 Page1 TEKS Category 1- Mathematical Process StandardsThese student expectations will not be listed under a , they will be incorporated into questions acrossTEKS categories sincethe application of mathematical process standards is part of each knowledge statement.( )Mathematical Process StandardsThe student uses mathematical processes to acquire and demonstrate mathematical EXPECTATIONN umber ofSkills& (A)apply Mathematics to problems arising in everyday life, society, andthe (B)use a problem-solving model that incorporates analyzing giveninformation, formulating a plan or strategy, determining a solution,justifying thesolution, and evaluating the problem-solving processand the reasonableness of the (C)select tools, including real objects, manipulatives, paper and pencil,and technology as appropriate, and techniques, including mentalmath,estimation, and number sense as appropriate, to (D)communicate mathematical ideas, reasoning, and their implicationsusing multiple representations, including symbols, diagrams, graphs,and language as (E)create and use representations to organize, record, and communicatemathematical (F)

4 Analyze mathematical relationships to connect and communicatemathematical (G)display, explain, and justify mathematical ideas and arguments usingprecise mathematical language in written or oral communication9 TEKSING TOWARD STAARGRADE4 SKILLS AND CONCEPTST able of ContentsTEKSING TOWARD STAAR 2014 Page2 TEKSC ategory2: Number and Operations( )Number and OperationsThe student applies mathematical process standards to represent, compare, and orderwhole numbersand decimals and understand relationships related to place EXPECTATIONN umber of Skills& (A)interpret the value of each place-value position as 10 times thepo sition to the right and as one-tenth of the value of the place to (B)represent the value of the digit in whole numbers through1,000,000,000 and decimals to the hundredths using expandednotation and (C)compare and order whole numbers to 1,000,000,000 and representcomparisons using the symbols >, <, or = (D)round whole numbers to a given place value through the hundredthousands (E)represent decimals, including tenths and hundredths, using concreteand visual models and (F)compare and order decimals using concrete and visual models to (G)

5 Relate decimals to fractions that name tenths and (H)determine the corresponding decimal to the tenths or hundredthsplace of a specified point on a number line4( )Number and OperationsThe student applies mathematical process standards to represent andgenerate fractionsto solve EXPECTATIONN umber of Skills& (A)represent a fractiona/bas a sum of fractions 1/b, whereaandbarewhole numbers andb> 0, including whena> (B)decompose a fraction in more than one way into a sum of fractionswith the same denominator using concrete and pictorial models andrecording results with symbolic (C)determine if two given fractions are equivalent using a variety (D)compare two fractions with different numerators and differentdenominators and represent the comparison using the symbols >, =,or < (E)represent and solve addition and subtraction of fractions with equaldenominators using objects and pictorial models that build to thenumber line and properties of (F)evaluate the reasonableness of sums and differences of fractionsusing benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to thesame whole (G)represent fractions and decimals to the tenths or hundredths asdistances from zero on a number line4 TEKSING TOWARD STAARGRADE4 SKILLS AND CONCEPTST able of ContentsTEKSING TOWARD STAAR 2014 Page3 TEKSC ategory2.

6 Number and Operations( )Number andOperationsThe student applies mathematicalprocess standards to develop and use strategies andmethods for whole number computations and decimal sums and differencesin order to solve problems with efficiency and EXPECTATIONN umber of Skills& (A)add and subtract whole numbers and decimals to the hundredthsplace using the standard (B)determine products of a number and 10 or 100 using properties ofoperations and place value (C)represent the product of 2 two-digit numbers using arrays, areamodels, or equations, including perfect squares through 15 by (D)use strategies and algorithms, including the standard algorithm, tomultiply up to a four-digit number by a one-digit number and tomultiply a two-digit number by a two-digit number. Strategies mayinclude mental math, partial products, and the commutative,associative, and distributive (E)represent the quotient of up toa four-digit whole number divided by aone-digit whole number using arrays, area models, or (F)use strategies and algorithms, including the standard algorithm, todivide up to a four-digit dividend by a one-digit (G)round to the nearest 10, 100, or 1,000 or use compatible numbers toestimate solutions involving whole (H)solve with fluency one- and two-step problems involvingmultiplication and division, including interpretingremainders4 TEKSING TOWARD STAARGRADE4 SKILLS AND CONCEPTST able of ContentsTEKSING TOWARD STAAR 2014 Page4 TEKSC ategory3.

7 Algebraic Reasoning( ) Algebraic ReasoningThe student applies mathematical process standards to develop conceptsof expressions and EXPECTATIONN umber of Skills& (A)represent multi-step problems involving the four operations withwhole numbers using strip diagrams and equations with a letterstanding for the unknown (B)represent problems usingan input-output table and numericalexpressions to generate a number pattern that follows a given rulerepresenting the relationship of the values in the resulting sequenceand their position in the sequence4 Not (C)use models to determine the formulas for the perimeter of a rectangle(l+w+l+wor 2l+ 2w), including the special form for perimeter of asquare (4s) and the area of a rectangle (lxw) (D)solve problems related to perimeter and area of rectangles wheredimensions are whole numbers4 TEKSING TOWARD STAARGRADE4 SKILLS AND CONCEPTST able of ContentsTEKSING TOWARD STAAR 2014 Page5 TEKSC ategory4.

8 Geometry and Measurement( ) Geometry and MeasurementThe student applies mathematical process standards to analyze geometric attributesin order to develop generalizations abouttheir EXPECTATIONN umber of Skills& (A)identify points, lines, line segments, rays, angles, and perpendicularand parallel (B)identify and draw one or more lines of symmetry, if they exist, for atwo-dimensional (C)apply knowledge of right angles to identify acute, right, and (D)classify two-dimensional figures based on the presence or absenceof parallel or perpendicular lines or the presence or absence ofangles of a specified size4( ) Geometry and MeasurementThe student applies mathematical process standards to solve problemsinvolving angles less than or equal to 180 EXPECTATIONN umber of Skills& ConceptsNot (A)illustrate the measure of an angle as the part of a circle whose center is atthe vertex of the angle that is "cut out" by the rays of the angle.

9 Anglemeasures are limited to whole numbers1 Not (B)determine the perimeter of a polygon or a missing length when givenperimeter and remaining side lengths in (C)determine the approximate measures of angles in degrees to thenearest whole numberusing a (D)draw an angle with a given (E)determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures4( ) Geometry and MeasurementThe student applies mathematical process standards to select appropriate customary and metric units,strategies, and tools to solve problems involving EXPECTATIONN umber of Skills& (A)identify relative sizes of measurement units within the customaryand metric (B)convert measurements within the same measurement system,customary or metric, from a smaller unit into a larger unit or a largerunit into a smallerunit when given other equivalent measuresrepresented in a (C)solve problems that deal with measurements of length, intervals oftime, liquid volumes, mass, and money using addition, subtraction,multiplication, or division as appropriate4 TEKSING TOWARD STAARGRADE4 SKILLS AND CONCEPTST able of ContentsTEKSING TOWARD STAAR 2014 Page6 TEKSC ategory5.

10 Data Analysis( ) Data AnalysisThe student applies mathematical process standards to solve problems by collecting,organizing, displaying, and interpreting EXPECTATIONN umber of Skills& (A)represent data on a frequency table, dot plot, or stem-and-leaf plotmarked with whole numbers and (B)solve one- and two-step problems using data in whole number,decimal, and fraction formin a frequency table, dot plot, or stem-and-leaf plot4 TEKSC ategory6: Personal Financial Literacy( ) Personal Financial LiteracyThe student applies mathematical process standards to manage one's financial resources effectivelyfor lifetime financial EXPECTATIONN umber of Skills& (A)distinguish between fixed and variable (B)calculate profit in a given situation2 Not (C)compare the advantages and disadvantages of various savings options1 Not (D)describe how to allocate a weekly allowance among spending, saving, includingfo r college, and (E)