These rigorous, higher-level thinking questions are made in STAAR format, have multiple choice answers, and address these skills:

 

SET 1:
•Apply mathematics to problems arising in everyday life, society and the workplace.
•Use a problem-solving model.
•Select tools and techniques to solve problems.
•Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
•Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm.
•Add and subtract positive rational numbers fluently.
•Identify prime and composite numbers.
•Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
•Describe the meaning of parentheses and brackets in a numeric expression.
•Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
 

Standards Covered:
TEKS: 5.1A, 5.1B, 5.1C, 5.1D, 5.3A, 5.3B, 5.3C, 5.3K, 5.4A, 5.4B, 5.4E, 5.4F
CCSS: 4.MD.A.2, 4.OA.A.3, 4.OA.B.4, 5.NBT.B.5, 5.NBT.B.6, 5.NBT.B.7, 5.NF.A.1, 5.OA.A.1, 5.OA.A.2

 

SET 2:
•Add and subtract positive rational numbers fluently.
•Apply mathematics to problems arising in everyday life, society, and the workplace.
•Balance a simple budget.
•Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =.
•Define income tax, payroll tax, sales tax, and property tax.
•Describe actions that might be taken to balance a budget when expenses exceed income.
•Develop a system for keeping and using financial records.
•Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division.
•Explain the difference between gross income and net income.
•Identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments.
•Represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models.
•Represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models.
•Represent, compare, and order positive rational numbers and understand relationships as related to place value.
•Round decimals to tenths or hundredths.
•Select tools and techniques to solve problems.
•Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
•Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers.
•Solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm.
•Use a problem-solving model.
 

Standards Covered:

TEKS: 5.1, 5.1A, 5.1B, 5.1C, 5.1D, 5.1E, 5.1F, 5.1G, 5.2, 5.2B, 5.2C, 5.3A, 5.3D, 5.3E, 5.3F, 5.3G, 5.3K, 5.4F, 5.10A, 5.10B, 5.10C, 5.10D, 5.10E, 5.10F
CCSS: 5.NBT.A.3.A, 5.NBT.A.3.B, 5.NBT.A.4, 5.NBT.B.7, 5.OA.A.1, CEE.1.4.9, CEE.1.12.7, CEE.2.4.2, CEE.2.4.7, CEE.2.8.3

 

SET 3:
• Add and subtract positive rational numbers fluently.
• Analyze mathematical relationships to connect and communicate mathematical ideas.
• Apply mathematics to problems arising in everyday life, society, and the workplace.
• Create and use representations to organize, record, and communicate mathematical ideas.
• Divide whole numbers by unit fractions and unit fractions by whole numbers.
• Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division.
• Represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations.
• Represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models.
• Represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7 ÷ 1/3 using objects and pictorial models, including area models.
• Represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models.
• Represent the value of the digit in decimals through the thousandths using expanded notation and numerals.
• Select tools and techniques to solve problems.
• Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
• Use a problem-solving model.
 

Standards Covered:
TEKS: 5.1A, 5.1B, 5.1C, 5.1E, 5.1F, 5.3A, 5.3F, 5.3H, 5.3I, 5.3J, 5.3K, 5.3L, 5.4A, 5.4F
CCSS: 5.NBT.B.7, 5.NF.A.1, 5.NF.A.2, 5.NF.B.4, 5.NF.B.6, 5.NF.B.7, 5.NF.B.7.C, 5.OA.A.1

 

SET 4:
• Classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.
• Describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered.
• Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane.
• Determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.
• Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph.
• Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.
• Recognize a cube with side length of 1 unit as a unit cube having 1 cubic unit of volume and the volume of a 3-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible.
• Recognize the difference between additive and multiplicative numerical patterns given in a table or graph.
• Represent and solve problems related to perimeter and/or area and related to volume.
• Solve problems by calculating conversions within a measurement system, customary or metric.
• Use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V=l x w x h, V= s x s x s, and V=Bh).

 

Standards Covered:
TEKS: 5.4C, 5.4D, 5.4G, 5.4H, 5.5A, 5.6A, 5.6B, 5.7A, 5.8A, 5.8B, 5.8C
CCSS: 4.MD.A.3, 5.G.A.1, 5.G.A.2, 5.G.B.3, 5.MD.A.1, 5.MD.C.3.B, 5.MD.C.4, 5.MD.C.5.A, 5.MD.C.5.B, 5.MD.C.5.C, 5.OA.B.3
 

SET 5:
•Adding and subtracting positive rational numbers
•Analyzing mathematical relationships to connect & communicate mathematical ideas
•Applying mathematics to problems arising in everyday life, society, & the workplace
•Communicating mathematical ideas, reasoning, & their implications using multiple representations
•Dividing whole numbers by unit fractions and unit fractions by whole numbers
•Representing & solving multiplication of a whole number and a fraction that refers to the same whole
•Representing categorical data with bar graphs or frequency tables and numerical data, including data sets, dot plots, and stem-and-leaf plots
•Representing discrete paired data on a scatterplot
•Simplifying numerical expressions that do not involve exponents, including up to two levels of grouping
•Solving for products of decimals to the hundredths
•Solving for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors
•Solving one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot
•Using a problem-solving model
 

Standards Covered:
TEKS: 5.1A, 5.1B, 5.1D, 5.1F, 5.3E, 5.3G, 5.3I, 5.3K, 5.3L, 5.4F, 5.9A, 5.9B, 5.9C
CCSS: 5.MD.B.2, 5.NBT.B.5, 5.NBT.B.6, 5.NF.A.1, 5.NF.B.3, 5.NF.B.7.A, 5.NF.B.7.B, 5.NF.B.7.C, 5.OA.A.2

 

SET 6:
•Adding and subtracting positive rational numbers fluently
•Dividing whole numbers by unit fractions and unit fractions by whole numbers
•Estimating to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division
•Representing & solving addition and subtraction of fractions with unequal denominators referring to the same whole
•Representing & solving multiplication of a whole number and a fraction that refers to the same whole
•Representing multiplication of decimals with products to the hundredths
•Representing quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors
•Simplifying numerical expressions that do not involve exponents, including up to two levels of grouping
•Solving for products of decimals to the hundredths
•Solving for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors

 

Standards Covered:
TEKS: 5.3A, 5.3D, 5.3E, 5.3F, 5.3G, 5.3H, 5.3I, 5.3K, 5.3L, 5.4F
CCSS: 4.NBT.B.4, 4.OA.A.3, 5.NBT.B.7, 5.NF.A.2, 5.NF.B.3, 5.NF.B.7, 5.OA.A.1

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