Standardized Test Preparation

TEKS (Texas Essential Knowledge and Skills)

References: Texas Education Agency : STAAR Released Tests |

Math - Grade 4

Assessment Exam - TEKS Grade 4 Math

Mathematical process standards	eTAP Lesson
The student uses mathematical processes to acquire and demonstrate mathematical understanding
Apply mathematics to problems arising in everyday life, society, and the workplace TX.MATH.111.6.1.A
Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution TX.MATH.111.6.1.B	Multiplying and Dividing Whole Numbers in Word Problems
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems TX.MATH.111.6.1.C	Word Problems with Money The Need for Expansion Rumblings of War The Russian Revolution and the End of WWI
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate TX.MATH.111.6.1.D
Create and use representations to organize, record, and communicate mathematical ideas TX.MATH.111.6.1.E
Analyze mathematical relationships to connect and communicate mathematical ideas TX.MATH.111.6.1.F
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication TX.MATH.111.6.1.G
Number and operations	eTAP Lesson
The student applies mathematical process standards to represent, compare, and order whole numbers and decimals and understand relationships related to place value
Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left TX.MATH.111.6.2.A	Place Values to 1,000,000
Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals TX.MATH.111.6.2.B	Compare Multi-Digit Whole Numbers
Compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, < or = TX.MATH.111.6.2.C	Compare Multi-Digit Whole Numbers
Round whole numbers to a given place value through the hundred thousands place TX.MATH.111.6.2.D	Round Multi-digit Whole Numbers
Represent decimals, including tenths and hundredths, using concrete and visual models and money TX.MATH.111.6.2.E	Decimal Notation for Fractions (Tenths & Hundredths)
Relate decimals to fractions that name tenths and hundredths TX.MATH.111.6.2.G	Decimal Notation for Fractions (Tenths & Hundredths)
Determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line TX.MATH.111.6.2.H	Add & Subtract Fractions on Number Lines
The student applies mathematical process standards to represent and generate fractions to solve problems
Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b TX.MATH.111.6.3.A	Fractions Add & Subtract Fractions (with Like Denominators)
Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations TX.MATH.111.6.3.B	Order of Fractions
Determine if two given fractions are equivalent using a variety of methods TX.MATH.111.6.3.C	Add and Subtract Simple Fractions
Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or < TX.MATH.111.6.3.D	Order of Fractions
Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations TX.MATH.111.6.3.E	Number Lines with Decimals, Fractions, Whole Numbers
Ealuate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole TX.MATH.111.6.3.F
Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line TX.MATH.111.6.3.G	Add & Subtract Fractions on Number Lines Decimal Notation for Fractions (Tenths & Hundredths)
The student applies mathematical process standards to develop and use strategies and methods for whole number computations and decimal sums and differences in order to solve problems with efficiency and accuracy
Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm TX.MATH.111.6.4.A	Adding and Subtracting Whole Numbers in Word Problems
Determine products of a number and 10 or 100 using properties of operations and place value understandings TX.MATH.111.6.4.B	Multiplying and Dividing Whole Numbers in Word Problems
Represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15; TX.MATH.111.6.4.C	Multiply Whole Numbers (4-Digit x 1-Digit and 2-Digit x 2-Digit)
Use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutativ TX.MATH.111.6.4.D	Multiply Whole Numbers (4-Digit x 1-Digit and 2-Digit x 2-Digit)
Represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations TX.MATH.111.6.4.E	Divide Whole Numbers (1-Digit Divisor and 4-Digit Dividends) Add & Subtract Fractions on Number Lines
Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor TX.MATH.111.6.4.F	Divide Whole Numbers (1-Digit Divisor and 4-Digit Dividends)
Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers TX.MATH.111.6.4.G	Round Multi-digit Whole Numbers
Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders TX.MATH.111.6.4.H	Multiplying and Dividing Whole Numbers in Word Problems
Algebraic reasoning	eTAP Lesson
The student applies mathematical process standards to develop concepts of expressions and equations
Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity TX.MATH.111.6.5.A	Word Problems of Measurements & Four Operations
Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence TX.MATH.111.6.5.B	Word Problems of Measurements & Four Operations
Use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w) TX.MATH.111.6.5.C
Solve problems related to perimeter and area of rectangles where dimensions are whole numbers TX.MATH.111.6.5.D
Geometry and measurement	eTAP Lesson
The student applies mathematical process standards to analyze geometric attributes in order to develop generalizations about their properties
Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines TX.MATH.111.6.6.A	Angles & Angle Measurement Parallel & Perpendicular Lines
Identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure TX.MATH.111.6.6.B	Line of Symmetry
Apply knowledge of right angles to identify acute, right, and obtuse triangles TX.MATH.111.6.6.C	Angles & Angle Measurement
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size TX.MATH.111.6.6.D	Parallel & Perpendicular Lines
The student applies mathematical process standards to solve problems involving angles less than or equal to 180 degrees
Iillustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is "cut out" by the rays of the angle TX.MATH.111.6.7.A	Angles & Angle Measurement
Illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one degree and an angle that "cuts" n/360 out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to whole number TX.MATH.111.6.7.B	Angles & Angle Measurement
Determine the approximate measures of angles in degrees to the nearest whole number using a protractor TX.MATH.111.6.7.C	Angles & Angle Measurement
Draw an angle with a given measure TX.MATH.111.6.7.D	Add & Subtract Angle Measures, Angle Measures in Equations
Determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures TX.MATH.111.6.7.E	Add & Subtract Angle Measures, Angle Measures in Equations
The student applies mathematical process standards to select appropriate customary and metric units, strategies, and tools to solve problems involving measurement
Identify relative sizes of measurement units within the customary and metric systems TX.MATH.111.6.8.A	Measurements & Multiples in U.S. System of Measurement
Convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table TX.MATH.111.6.8.B	Measurements & Multiples in Metric System of Measurement
Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate TX.MATH.111.6.8.C	Word Problems of Measurements & Four Operations
Data Analysis	eTAP Lesson
The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data
Represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions TX.MATH.111.6.9.A	Data, Tables, & Graphs
Solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot TX.MATH.111.6.9.B	Data, Tables, & Graphs
Personal financial literacy	eTAP Lesson
The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security
Distinguish between fixed and variable expenses TX.MATH.111.6.10.A	Fixed and Variable Expenses
Calculate profit in a given situation TX.MATH.111.6.10.B	Fixed and Variable Expenses
Compare the advantages and disadvantages of various savings options TX.MATH.111.6.10.C	Savings Options
Describe how to allocate a weekly allowance among spending; saving, including for college; and sharing TX.MATH.111.6.10.D	Savings Options
Describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending TX.MATH.111.6.10.E	Purpose of Financial Institutions/Banks