Count aloud the number names from 1 to 10

UT.Math.4yr.1.1

Count orally to ten by ones, saying the number names in standard order

1

Read a whole number from 0 to 10

UT.Math.4yr.1.4

Read a whole number from 0 to 10

2

Identify written numerals 0 to 9 in environment

UT.Math.4yr.1.4

Identify the written numerals 0 to 9 in the everyday environment

3

Understand relationship: counting / quantities

UT.Math.4yr.1.3

Understand the relationship between counting and quantities

5

Count out 0 to 10 objects given oral directions

UT.Math.4yr.1.3

Count out a number of objects from 0 to 10 given oral directions

6

Compare sets of up to 5 objects

UT.Math.4yr.1.7

Compare sets of up to 5 objects

13

Count on with numbers 1 to 10

UT.Math.4yr.1.2

Count on with numbers 1 to 10

14

Count orally to 20 by ones

UT.Math.4yr.1.1

Count orally to 20 by ones

18

Identify the position in sequences, up to 5th

UT.Math.4yr.2.5

Identify positions of objects in sequences (e.g., first, second) up to fifth

22

Extend pattern: objects / pictures / sounds / movement

UT.Math.4yr.2.5

Extend a simple non-numeric pattern using objects, pictures, sounds, or movement

24

Create pattern: objects / pictures / sounds / movement

UT.Math.4yr.2.5

Create a simple non-numeric pattern using objects, pictures, sounds, or movement

25

Model addition within 5 using objects

UT.Math.4yr.2.1

Model addition within 5 using objects

27

Model subtraction within 5 using objects

UT.Math.4yr.2.1

Model subtraction within 5 using objects

31

Identify actual objects using position words

UT.Math.4yr.4.1

Identify objects in the environment based on position words

21

Identify a 2-dimensional shape

UT.Math.4yr.4.2

Identify a 2-dimensional shape

37

Compare sets of up to 5 objects

UT.Math.4yr.3.4

Compare sets of up to 5 objects

13

Sort objects according to one attribute

UT.Math.4yr.3.3

Sort objects according to one attribute

35

Classify objects according to one attribute

UT.Math.4yr.3.3

Classify objects according to one attribute

41

Count out a given number of objects from 1 to 20

UT.Math.K.CC.5

Count out a given number of objects from 1 to 20

53

Write numbers from 0 to 20 given oral directions

UT.Math.K.CC.3

Write a number from 0 to 20 when given oral directions

55

Represent 0 to 20 grouped objects with a numeral

UT.Math.K.CC.3

Represent the total number of objects in a group from 0 to 20 with a numeral

56

Compare with words: 2 groups with up to 20 items

UT.Math.K.CC.6

Compare two groups containing up to 20 objects each using words

58

Find the number that is 1 larger than, within 20

UT.Math.K.CC.4.c

Determine the number that is one larger than a given number within 20

60

Count aloud by 1s from a number less than 100

UT.Math.K.CC.2

Count on orally by ones from a number less than 100

63

Compose number from 11 to 19 using pictures

UT.Math.K.NBT.1

Compose a number from 11 to 19 from ten ones and some further ones, using pictures or objects

85

Add numbers with a sum to 10: pictures / objects

UT.Math.K.OA.2

Add numbers with a sum up to 10, using pictures or objects

68

Add numbers with sum up to 10

UT.Math.K.OA.2

Add numbers with a sum up to 10

71

Subtract numbers using objects: minuend up to 10

UT.Math.K.OA.2

Subtract numbers with a minuend up to 10, using pictures or objects

75

Subtract numbers with minuend to 10

UT.Math.K.OA.2

Subtract numbers with a minuend up to 10

79

Decompose number 10 or less into pairs: pictures

UT.Math.K.OA.3

Decompose a number less than or equal to 10 into pairs, using pictures or objects

80

Find number to make 10 when added: picture

UT.Math.K.OA.4

Determine the number that makes 10 when added to a number from 1 to 9, using pictures or objects

82

Identify attributes of a 2-dimensional shape

UT.Math.K.G.4

Identify attributes of a 2-dimensional shape

94

Identify a shape regardless of orientation / size

UT.Math.K.G.2

Correctly identify a shape regardless of orientation or overall size

95

Compare / sort common 2-D shapes

UT.Math.K.G.4

Compare and sort common 2-dimensional shapes by comparing their attributes

98

Identify a 2-D or 3-D shape as flat or solid

UT.Math.K.G.3

Identify a 2-dimensional or 3-dimensional shape as flat or solid

104

Describe measurable attributes of an object

UT.Math.K.MD.1

Describe several measurable attributes of an object

88

Count aloud up to 120 from a smaller number

UT.Math.1.NBT.1

Count orally up to 120 from a number less than 120

109

Count on by ones from a number within 120

UT.Math.1.NBT.1

Count on by ones from a number within 120

110

Represent numbers of objects by numerals: 0-120

UT.Math.1.NBT.1

Represent the total number of objects in a group from 0 to 120 with a numeral

113

Understand 2-digit number digits: 10s and 1s

UT.Math.1.NBT.2

Understand that the digits of a 2-digit number represent amounts of tens and ones

120

Recognize a number from a model of 10s / 1s to 100

UT.Math.1.NBT.2

Recognize a number from a model of tens and ones to 100

121

Determine a digit's value in a 2-digit number

UT.Math.1.NBT.2

Determine the value of a digit in a 2-digit number

122

Compare 2-digit numbers using standard symbols

UT.Math.1.NBT.3

Compare two 2-digit numbers using standard symbols

124

Add 10 to a 2-digit number using mental math

UT.Math.1.NBT.5

Add 10 to a 2-digit number using mental math

133

Subtract 10 from a 2-digit number: mental math

UT.Math.1.NBT.5

Subtract 10 from a 2-digit number using mental math

134

Subtract multiple of 10 from 10 to 90: various

UT.Math.1.NBT.6

Subtract a multiple of 10 from a multiple of 10 in the range 10 to 90, using various methods

136

Understand composing a 10: add / subtract to 100

UT.Math.1.NBT.4

Understand when it is necessary to compose a ten when adding or subtracting within 100

138

Add within 100

UT.Math.1.NBT.4

Add within 100 using one of various strategies

142

Add within 20 using place value strategy

UT.Math.1.OA.6.b

Add within 20 using strategies based on place value

127

Add within 20 using place value strategy

UT.Math.1.OA.6.a

Add within 20 using strategies based on place value

127

Subtract within 20 using any strategy

UT.Math.1.OA.6.b

Subtract within 20 using any strategy

130

Subtract within 20 using any strategy

UT.Math.1.OA.6.a

Subtract within 20 using any strategy

130

Subtract within 20 using any strategy

UT.Math.1.OA.3

Subtract within 20 using any strategy

130

Solve a problem: addition / subtraction within 20

UT.Math.1.OA.1

Solve a problem involving addition or subtraction of numbers within 20

131

Find an unknown: addition / subtraction fact to 20

UT.Math.1.OA.8

Determine an unknown whole number in an addition or subtraction equation within 20

139

Draw a shape with given attributes

UT.Math.1.G.1

Draw a shape with given attributes

150

Compose a composite shape from 2-D shapes

UT.Math.1.G.2.a

Compose a composite shape from 2-dimensional shapes

153

Compose a composite shape from 2-D shapes

UT.Math.1.G.2.b

Compose a composite shape from 2-dimensional shapes

153

Partition a 2-D figure into 2 / 4 equal shares

UT.Math.1.G.3

Partition a 2-dimensional figure into two or four equal shares

159

Order three objects by length

UT.Math.1.MD.1

Order three objects by length

147

Recognize length: exact number of spanning units

UT.Math.1.MD.2

Understand length measurement of an object as the number of same-size length units that span it with no gaps or overlaps

148

Count on by ones from a number within 1000

UT.Math.2.NBT.2

Count on by ones from a number within 1000

165

Understand 3-digit number represents 100s / 10s / 1s

UT.Math.2.NBT.1

Understand that the digits of a 3-digit number represent amounts of hundreds, tens, and ones

169

Read a whole number to 1000

UT.Math.2.NBT.3

Read a whole number to 1000

171

Write a whole number in standard form up to 1000

UT.Math.2.NBT.3

Write a whole number in standard form up to 1000

174

Write a whole number in expanded form up to 1000

UT.Math.2.NBT.3

Write a whole number in expanded form up to 1000

176

Compare two 3-digit numbers: standard symbols

UT.Math.2.NBT.4

Compare two 3-digit numbers using standard symbols, emphasizing the meanings of hundreds, tens, and ones

177

Understand when to regroup: add / subtract to 1000

UT.Math.2.NBT.7

Understand when it is necessary to compose a ten and/or a hundred when adding or subtracting within 1000

194

Add within 1000

UT.Math.2.NBT.7

Add within 1000 using one of various strategies

197

Subtract within 1000: place-value strategies

UT.Math.2.NBT.7

Subtract within 1000 using strategies based on place value

198

Know basic addition facts within 20

UT.Math.2.OA.2.a

Know basic addition facts within 20

178

Know basic addition facts within 20

UT.Math.2.OA.2.b

Know basic addition facts within 20

178

Solve a problem: open sentence to model context

UT.Math.2.OA.1

Represent a situation with an open sentence to solve a problem

181

Solve addition / subtraction problem within 100

UT.Math.2.OA.1

Solve a 1- or 2-step problem in any addition or subtraction situation within 100

182

Partition a rectangle / circle into equal parts

UT.Math.2.G.3

Partition a rectangle or circle into equal-sized parts

216

Name rectangle / circle parts cut equally in 2 / 3 / 4

UT.Math.2.G.3

Describe the shares of a rectangle or circle partitioned into two, three, or four equal shares

217

Draw a shape with specified attributes

UT.Math.2.G.1

Draw a shape with specified attributes

222

Solve a problem: open sentence to model context

UT.Math.2.MD.5

Represent a situation with an open sentence to solve a problem

181

Know ruler units equal in size / span with no gaps

UT.Math.2.MD.2

Understand that the units on a ruler or number line are equal in size and span it with no gaps or overlaps

201

Measure / find difference in length in whole units

UT.Math.2.MD.4

Measure in whole units to determine how much longer one object is than another

207

Generate data: measure length using whole units

UT.Math.2.MD.9

Generate measurement data by measuring lengths using whole-number units

208

Add / subtract to 100 to solve a length problem

UT.Math.2.MD.5

Add or subtract within 100 to solve a problem involving lengths that are given in the same units

210

Tell / write time to nearest 5 minutes

UT.Math.2.MD.7

Tell and write time to the nearest five minutes, including indication of a.m. and p.m.

214

Read / write a number up to 10,000: standard form

UT.Math.3.NBT.1

Read and write a whole number in standard form up to 10,000

231

Compare whole numbers up to 10,000 using < / > / =

UT.Math.3.NBT.1

Compare whole numbers up to 10,000 using the symbols <, >, and =

232

Multiply 1-digit by multiple of 10 up to 90

UT.Math.3.NBT.3

Multiply a 1-digit whole number by a multiple of 10 within 90

253

Understand the structure of a fraction

UT.Math.3.NF.1.b

Understand the structure of a fraction

262

Understand the structure of a fraction

UT.Math.3.NF.1.a

Understand the structure of a fraction

262

Represent a unit fraction on a number line

UT.Math.3.NF.2.a

Represent a unit fraction on a number line

266

Generate simple equivalent fractions

UT.Math.3.NF.3.b

Generate simple equivalent fractions

271

Explain fraction equivalence with fraction model

UT.Math.3.NF.3.b

Explain why two fractions are equivalent using a visual fraction model

272

Interpret product fact: sum of equal groups

UT.Math.3.OA.1

Interpret a multiplication fact as the sum of equal groups

234

Represent a multiplication fact various ways

UT.Math.3.OA.3

Represent a multiplication fact using a variety of approaches

236

Interpret quotient as partitioning into shares

UT.Math.3.OA.2

Interpret the whole-number quotient of a division fact as a partitioning into equal shares

237

Solve problem within 100 involving equal groups

UT.Math.3.OA.3

Solve a problem within 100 involving equal groups

241

Fluently multiply within 100, using basic facts

UT.Math.3.OA.7.b

Fluently multiply within 100, using basic facts

244

Fluently multiply within 100, using basic facts

UT.Math.3.OA.7.a

Fluently multiply within 100, using basic facts

244

Multiply whole numbers within 100

UT.Math.3.OA.5

Multiply whole numbers within 100 using strategies based on properties of operations

245

Fluently divide within 100, using basic facts

UT.Math.3.OA.7.b

Fluently divide within 100, using basic facts

246

Fluently divide within 100, using basic facts

UT.Math.3.OA.7.a

Fluently divide within 100, using basic facts

246

Solve 2-step problem: whole numbers / 4 operations

UT.Math.3.OA.8.c

Solve a 2-step problem with whole numbers using any of the four operations

247

Solve 2-step problem: whole numbers / 4 operations

UT.Math.3.OA.8.b

Solve a 2-step problem with whole numbers using any of the four operations

247

Solve 2-step problem: whole numbers / 4 operations

UT.Math.3.OA.8.a

Solve a 2-step problem with whole numbers using any of the four operations

247

Determine the unknown: multiplication equation

UT.Math.3.OA.4

Determine the unknown in a multiplication equation

248

Determine the unknown in a division equation

UT.Math.3.OA.4

Determine the unknown in a division equation

249

Partition a shape into parts with equal areas

UT.Math.3.G.2

Partition a shape into parts with equal areas

260

Express area of a part of shape as unit fraction

UT.Math.3.G.2

Express the area of a part of a shape as a unit fraction

263

Tell / write time to the nearest minute

UT.Math.3.MD.1

Tell and write time to the nearest minute, including indication of a.m. and p.m.

278

Perimeter of a polygon given side lengths

UT.Math.3.MD.8

Find the perimeter of a polygon given the side lengths

292

Show tiling / length times width yield same area

UT.Math.3.MD.7.a

Demonstrate that the area of a rectangle is the same using tiling or multiplying side lengths

302

Find rectangle's area: multiplying side lengths

UT.Math.3.MD.7.b

Find the area of a rectangle by multiplying side lengths

303

Make length measurement data (nearest 1 / 4 in.)

UT.Math.3.MD.4

Generate measurement data by measuring lengths using rulers with halves and fourths of an inch

314

Read / write number: expanded form up to 1,000,000

UT.Math.4.NBT.2

Read and write a whole number in expanded form up to 1,000,000

318

Compare two whole numbers up to 1,000,000

UT.Math.4.NBT.2

Compare two whole numbers up to 1,000,000

319

Round number within 1,000,000

UT.Math.4.NBT.3

Round a whole number within 1,000,000 to a specified place

320

Fluently add whole numbers within 1,000,000

UT.Math.4.NBT.4

Fluently add whole numbers within 1,000,000

321

Fluently subtract whole numbers within 1,000,000

UT.Math.4.NBT.4

Fluently subtract whole numbers within 1,000,000

322

Multiply 1-digit by 2- / 4-digit: place value

UT.Math.4.NBT.5

Multiply a 1-digit whole number by a 2- to 4-digit whole number using strategies based on place value and properties of operations

324

Multiply two 2-digit whole numbers various ways

UT.Math.4.NBT.5

Multiply two 2-digit whole numbers using various strategies

325

Divide 4-digit number / 1-digit: relationships

UT.Math.4.NBT.6

Divide a number of up to four digits by a 1-digit number using strategies based on place value and the relationship between multiplication and division

327

Create equivalent fractions by multiplying by 1

UT.Math.4.NF.1

Generate equivalent fractions by multiplying the numerator and denominator of a fraction by the same number

345

Compare fractions with unlike denominators

UT.Math.4.NF.2

Compare fractions with unlike denominators

348

Write fraction: sum of like fractions many ways

UT.Math.4.NF.3.b

Decompose a fraction into a sum of fractions with the same denominator in more than one way

352

Add or subtract fractions with like denominators

UT.Math.4.NF.3.c

Add or subtract fractions with like denominators

356

Understand fraction as multiple of unit fraction

UT.Math.4.NF.4.a

Understand a fraction as a multiple of a unit fraction

360

Multiply a fraction by a whole number

UT.Math.4.NF.4

Multiply a fraction by a whole number

363

Write fractions, denominator 10 / 100, as decimals

UT.Math.4.NF.6

Express a fraction with a denominator of 10 or 100 as a decimal

367

Compare decimals to 100ths using <, >, =

UT.Math.4.NF.7

Compare two decimals through hundredths using standard symbols

370

Interpret multiplication equation as comparison

UT.Math.4.OA.1

Interpret a multiplication equation as a comparison

329

Multiply / divide: multiplicative comparison

UT.Math.4.OA.2

Multiply or divide in a given situation involving multiplicative comparison

332

Solve problems: whole numbers with 4 operations

UT.Math.4.OA.3.b

Solve a multi-step problem with whole numbers involving the four operations

334

Solve problems: whole numbers with 4 operations

UT.Math.4.OA.3.a

Solve a multi-step problem with whole numbers involving the four operations

334

Solve problems: whole numbers with 4 operations

UT.Math.4.OA.3

Solve a multi-step problem with whole numbers involving the four operations

334

Interpret remainder in a multi-step word problem

UT.Math.4.OA.3.b

Interpret the remainder in a multi-step word problem

335

Interpret remainder in a multi-step word problem

UT.Math.4.OA.3.a

Interpret the remainder in a multi-step word problem

335

Interpret remainder in a multi-step word problem

UT.Math.4.OA.3

Interpret the remainder in a multi-step word problem

335

Draw a line of symmetry

UT.Math.4.G.3

Draw a line of symmetry

391

Convert larger to smaller unit: single system

UT.Math.4.MD.1

Convert a larger unit to a smaller unit within a single measurement system

373

Solve problems: area / perimeter rectangle formula

UT.Math.4.MD.3

Solve a problem using the area or perimeter formulas for rectangles

392

Fluently multiply multi-digit whole numbers

UT.Math.5.NBT.5

Fluently multiply multi-digit whole numbers

395

Divide up to 4-digit by 2-digit using strategies

UT.Math.5.NBT.6

Divide a whole number of up to four digits by a 2-digit whole number using one of various strategies

396

Explain x / ÷ by power of 10 in decimals

UT.Math.5.NBT.2

Explain the pattern in the placement of the decimal point when multiplying or dividing decimals by powers of 10

425

Read and write a decimal through thousandths

UT.Math.5.NBT.3.a

Read and write a decimal through thousandths in any form

428

Compare two decimals through thousandths

UT.Math.5.NBT.3.b

Compare two decimals through thousandths

429

Add decimals through hundredths

UT.Math.5.NBT.7

Add decimals through hundredths using one of various strategies

432

Subtract decimals through hundredths

UT.Math.5.NBT.7

Subtract decimals through hundredths using one of various strategies

434

Multiply decimals through hundredths

UT.Math.5.NBT.7

Multiply decimals through hundredths using one of various strategies

438

Divide decimals through hundredths

UT.Math.5.NBT.7

Divide decimals through hundredths using one of various strategies

440

Add / subtract fractions referring to same whole

UT.Math.5.NF.2

Solve problems involving addition or subtraction of fractions referring to the same whole

402

Multiply a fraction by a fraction

UT.Math.5.NF.4

Multiply a fraction by a fraction

409

Multiply fractional lengths for rectangular area

UT.Math.5.NF.4.b

Multiply fractional side lengths of a rectangle to find its area

410

Multiply fractions and mixed numbers in context

UT.Math.5.NF.6

Multiply fractions and mixed numbers in a given situation

413

Interpret unit fraction divided by whole number

UT.Math.5.NF.7.a

Interpret division of a unit fraction by a nonzero whole number

414

Divide a unit fraction by a nonzero whole number

UT.Math.5.NF.7.a

Divide a unit fraction by a nonzero whole number

415

Divide a whole number by a unit fraction

UT.Math.5.NF.7.b

Divide a whole number by a unit fraction

418

Evaluate numerical expression: grouping symbols

UT.Math.5.OA.1

Evaluate a numerical expression containing grouping symbols

442

Evaluate an expression using order of operations

UT.Math.5.OA.1

Evaluate a numerical expression involving four or more operations, using order of operations

444

Graph a point in the first quadrant

UT.Math.5.G.2

Graph a point in the first quadrant of the coordinate plane

453

Understand volume measurement using unit cubes

UT.Math.5.MD.3.b

Understand that volume can be measured using unit cubes

462

Find volume of prism by multiplying edges

UT.Math.5.MD.5.a

Find the volume of a right rectangular prism by multiplying edge lengths

465

Solve problem using volume formula for prism

UT.Math.5.MD.5.b

Find the volume of a right rectangular prism to solve a problem, using a formula

466

Describe a ratio relationship between quantities

UT.Math.6.RP.1

Describe a ratio relationship between two quantities

486

Determine a unit rate

UT.Math.6.RP.2

Determine a unit rate

488

Solve a unit rate problem

UT.Math.6.RP.3.b

Solve a unit rate problem

490

Solve a problem: parts / wholes / percentages

UT.Math.6.RP.3.c

Solve a problem involving parts, wholes, and percentages

493

Factor a numerical sum via the distributive law

UT.Math.6.NS.4

Express the sum of two whole numbers in factored form using the distributive property

475

Divide mixed numbers and fractions

UT.Math.6.NS.1.a

Divide mixed numbers or fractions

479

Solve problem: multiply decimals to thousandths

UT.Math.6.NS.3

Solve a problem involving multiplication of two decimal numbers to thousandths

484

Recognize where opposites are on a number line

UT.Math.6.NS.6.a

Recognize that opposite numbers are located on opposite sides of zero on a number line

504

Convert between fractions and decimals

UT.Math.6.NS.7

Convert between fractions and decimals

508

Understand coordinate signs determine quadrants

UT.Math.6.NS.6.b

Understand signs of numbers in ordered pairs as indicating locations in the quadrants of the coordinate plane

542

Evaluate an expression with whole-number powers

UT.Math.6.EE.1

Evaluate a numerical expression involving whole-number exponents

517

Evaluate an expression given values of variables

UT.Math.6.EE.2.c

Evaluate an expression for specific values of its variables

522

Relate a graph / table to a 2-variable equation

UT.Math.6.EE.9

Relate a graph or a table showing the relationship between two variables to an equation

537

Solve problem: x + p = q or px = q (rationals)

UT.Math.6.EE.7

Solve a problem involving an equation of the form x + p = q or px = q with nonnegative rational numbers

539

Solve problem: area of triangle/square/rectangle

UT.Math.6.G.1

Determine the area of a triangle, square or rectangle to solve a problem

547

Find polygon area from triangle / rectangle areas

UT.Math.6.G.1

Find the area of polygons including special quadrilaterals composed of triangles and/or rectangles

549

Apply volume formula for prism: fractional length

UT.Math.6.G.2

Solve a problem using a formula to find the volume of a right rectangular prism with fractional-edge lengths

556

Draw a net of a 3-dimensional object

UT.Math.6.G.4

Draw a net of a 3-dimensional object

558

Understand data sets by center / spread / shape

UT.Math.6.SP.2

Understand a statistical distribution by its center, spread, and overall shape

562

Display data on a dot / box plot / histogram

UT.Math.6.SP.4

Display numerical data in dot plots, histograms, and box plots

565

Summarize a data set in relation to its context

UT.Math.6.SP.5

Summarize a numerical data set in relation to its context

567

Compute a unit rate from a ratio of fractions

UT.Math.7.RP.1

Compute the unit rate associated with a ratio of fractions

606

Decide if variables are in a linear relationship

UT.Math.7.RP.2.a

Determine if the variables in a situation are in a proportional or linear non-proportional relationship given a table, a graph, or an equation

607

Identify the constant of proportionality

UT.Math.7.RP.2.b

Identify the constant of proportionality

608

Explain ordered pair: proportional relationship

UT.Math.7.RP.2.d

Interpret the meaning of an ordered pair on a graph that shows a proportional relationship in a given situation

610

See subtraction as adding the additive inverse

UT.Math.7.NS.1.c

Understand subtraction of rational numbers as adding the additive inverse

579

Add integers

UT.Math.7.NS.1.d

Add integers

585

Subtract integers

UT.Math.7.NS.1.d

Subtract integers

586

Add rational numbers

UT.Math.7.NS.1.d

Add rational numbers

589

Subtract rational numbers

UT.Math.7.NS.1.d

Subtract rational numbers

590

Divide integers

UT.Math.7.NS.2.c

Divide integers

598

Multiply or divide integers to solve a problem

UT.Math.7.NS.3

Multiply or divide integers to solve a problem

599

Multiply rational numbers

UT.Math.7.NS.2.c

Multiply rational numbers

600

Divide rational numbers

UT.Math.7.NS.2.c

Divide rational numbers

601

Convert between rational numbers in any form

UT.Math.7.NS.2.d

Convert between rational numbers in any form

602

Solve problems with rationals and 4 operations

UT.Math.7.NS.3

Solve a real-world problem with rational numbers involving any of the four operations

605

Add / subtract to simplify a linear expression

UT.Math.7.EE.1

Add or subtract to simplify a linear expression with rational coefficients

615

Compare different forms of an expression

UT.Math.7.EE.2

Understand that different forms of an expression can show how its various quantities are related

618

Solve problems: px + q = r or p(x + q) = r

UT.Math.7.EE.4.a

Fluently solve equations of the form px + q = r or p(x + q) = r

620

Graph solutions of inequalities with rationals

UT.Math.7.EE.4.b

Graph the solution set of an inequality involving rational numbers

626

Find the measure of an unknown angle in a figure

UT.Math.7.G.5

Determine the measure of an unknown angle in a geometric figure

631

Solve problems: apply area / circumference formula

UT.Math.7.G.4

Solve a problem involving the area or circumference of a circle using the appropriate formula

633

Solve a problem with surface area or volume

UT.Math.7.G.6

Solve a problem involving the surface area or volume of a 3-dimensional object composed of cubes and/or right prisms

636

Determine 2-D cross-sections of 3-D shapes

UT.Math.7.G.3

Determine the 2-dimensional figure that results from slicing a 3-dimensional shape

639

Use data from a random sample to draw inferences

UT.Math.7.SP.2

Use data from a random sample to draw inferences about a population

643

Make comparative inferences from random samples

UT.Math.7.SP.4

Make comparative inferences about two populations using measures of center and measures of variability from random samples

647

Predict approximate frequency given probability

UT.Math.7.SP.6

Predict the approximate relative frequency of a chance event given its probability

651

Understand the probability of a compound event

UT.Math.7.SP.8.a

Understand that the probability of a compound event is the fraction of the outcomes in the sample space for which the compound event occurs

661

Approximate an irrational on a number line

UT.Math.8.NS.2

Approximate the location of an irrational number on a number line

670

Make equivalent integer exponent expressions

UT.Math.8.EE.1

Generate an equivalent expression using properties of integer exponents

674

Perform basic operations: scientific notation

UT.Math.8.EE.4

Perform operations with numbers written in scientific notation

679

Use square / cube root symbols for solutions

UT.Math.8.EE.2

Represent a solution of a simple quadratic or cubic equation using a square root or cube root symbol

690

Interpret a unit rate as the slope of a graph

UT.Math.8.EE.5

Interpret a unit rate as the slope of a graph

696

Derive the slope-intercept equation for a line

UT.Math.8.EE.6

Derive the equation y = mx + b for a line intercepting the vertical axis at b

700

Solve rational coefficient linear equations

UT.Math.8.EE.7.b

Solve a linear equation with rational coefficients

706

Solve a 2-step linear inequality in one variable

UT.Math.8.EE.7.b

Solve a 2-step linear inequality in one variable

710

Know graph as ordered pairs of inputs / outputs

UT.Math.8.F.1

Understand that the graph of a function is the set of ordered pairs consisting of an input and the corresponding output

692

Find rate of change / initial value of a function

UT.Math.8.F.4

Determine the rate of change or initial value of a function from a description of a relationship or from two (x, y) values

701

Write a function to model a linear relationship

UT.Math.8.F.4

Write a function to model a linear relationship between two quantities

703

Compare linear functions shown different ways

UT.Math.8.F.2

Compare two linear functions each represented in a different way

708

Know y = mx + b as linear (straight-line graph)

UT.Math.8.F.3

Recognize the equation y = mx + b as defining a linear function whose graph is a straight line

709

Apply Pythagorean theorem to find unknown side

UT.Math.8.G.7

Find an unknown side length of a right triangle, using the Pythagorean theorem

687

Use the Pythagorean theorem to find distance

UT.Math.8.G.8

Find the distance between two points, using the Pythagorean theorem

689

Perform a rotation, reflection, or translation

UT.Math.8.G.3

Perform a rotation, reflection, or translation

730

Understand congruence via rigid transformations

UT.Math.8.G.2

Understand congruence through rigid transformations

735

Understand similarity through transformations

UT.Math.8.G.4

Understand similarity through transformations

739

Angle facts from parallels and transversals

UT.Math.8.G.5

Establish facts about the angles created by parallel lines and a transversal

741

Solve problems with cone / cylinder / sphere volume

UT.Math.8.G.9

Solve a real-world or mathematical problem involving the volume of a cone, cylinder, or sphere

746

Construct a scatter plot

UT.Math.8.SP.1

Construct a scatter plot

720

Determine accuracy of measurement

UT.Math.M1.N.Q.3

Choose a level of precision appropriate to limitations on measurement

747

Convert a rate to an equivalent rate

UT.Math.M1.N.Q.1

Convert a rate to an equivalent rate

749

Select / interpret unit form of a formula quantity

UT.Math.M1.N.Q.1

Select or interpret the unit form of a quantity in a formula

750

Find a process for solving problems using units

UT.Math.M1.N.Q.1

Determine the process for solving a multi-step problem using the units involved

751

Interpret the meaning: graph's origin or scale

UT.Math.M1.N.Q.1

Interpret the meaning of the origin or scale for a graph or data display

764

Choose the scale for a graph or data display

UT.Math.M1.N.Q.1

Choose the scale for a graph or data display

765

Interpret a linear expression by parts

UT.Math.M1.A.SSE.1.b

Interpret a linear expression by viewing one or more of its parts as a single entity

772

Interpret an exponential expression by parts

UT.Math.M1.A.SSE.1.b

Interpret an exponential expression by viewing one or more of its parts as a single entity

809

Solve problems: 1-variable linear inequality

UT.Math.M1.A.CED.1

Solve a real-world problem involving a multi-step linear inequality in one variable

761

Solve a formula for a linear variable

UT.Math.M1.A.CED.4

Rearrange a formula to isolate a variable of interest where the formula is linear in that variable

762

Graph a linear equation using coordinate axes

UT.Math.M1.A.CED.2

Graph a linear equation using coordinate axes

767

Show conditions by linear equations / inequalities

UT.Math.M1.A.CED.3

Represent constraints using linear equations or inequalities

801

Graph an exponential equation: coordinate axes

UT.Math.M1.A.CED.2

Graph an exponential equation using coordinate axes

811

Solve a linear equation / inequality in 1 variable

UT.Math.M1.A.REI.3.a

Solve a linear equation or inequality in one variable

755

Solve a linear equation / inequality in 1 variable

UT.Math.M1.A.REI.3.b

Solve a linear equation or inequality in one variable

755

Solve a formula for a linear variable

UT.Math.M1.A.REI.3.a

Rearrange a formula to isolate a variable of interest where the formula is linear in that variable

762

Know graph as all solutions of equation

UT.Math.M1.A.REI.10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane

766

Solve 2-variable linear systems using any method

UT.Math.M1.A.REI.6

Solve a system of linear equations in two variables using any method

796

Graph solution to system of linear inequalities

UT.Math.M1.A.REI.12

Graph the solution set to a system of linear inequalities in two variables

800

Evaluate a function for a given input

UT.Math.M1.F.IF.2

Evaluate a function for a given input

753

Graph a linear equation using coordinate axes

UT.Math.M1.F.IF.7.a

Graph a linear equation using coordinate axes

767

Interpret features of a linear function

UT.Math.M1.F.IF.4

Interpret features of a linear function that models a relationship between two quantities

774

Interpret features of an exponential function

UT.Math.M1.F.IF.4

Interpret features of an exponential function that models a relationship between two quantities

812

Graph exponentials with intercepts / end behavior

UT.Math.M1.F.IF.7.e

Graph an exponential function showing intercepts and end behavior

817

f(x+k), f(x)+k, kf(x), or f(kx) on linear graph

UT.Math.M1.F.BF.3

Identify the effect of replacing f(x) with f(x + k), f(x) + k, kf(x), or f(kx) on the graph of a linear function

781

f(x+k), f(x)+k, kf(x), or f(kx) on exp graph

UT.Math.M1.F.BF.3

Identify the effect of replacing f(x) with f(x + k), f(x) + k, kf(x), or f(kx) on the graph of an exponential function

822

Find a linear function from given information

UT.Math.M1.F.LE.2

Determine an equation of a linear function, using given information

784

Interpret features of an exponential function

UT.Math.M1.F.LE.5

Interpret features of an exponential function that models a relationship between two quantities

812

Find a sequence to transform a figure to another

UT.Math.M1.G.CO.5

Identify a sequence of transformations that will carry a given figure onto another figure

862

Tell if figures are congruent via rigid motions

UT.Math.M1.G.CO.6

Determine if two figures are congruent using the definition of congruence in terms of rigid motions

866

Show triangle congruence: corresponding parts

UT.Math.M1.G.CO.7

Show two triangles are congruent if corresponding sides and angles are congruent

868

Compute the area of a triangle or rectangle

UT.Math.M1.G.GPE.7

Compute the area of a triangle or rectangle

852

Find the linear function of best fit for data

UT.Math.M1.S.ID.6.a

Determine the linear function of best fit for data on a scatter plot

787

Find the linear function of best fit for data

UT.Math.M1.S.ID.6.c

Determine the linear function of best fit for data on a scatter plot

787

Solve problems using best fit linear functions

UT.Math.M1.S.ID.6.a

Solve a problem using a linear function of best fit

792

Rewrite expression: radical / rational exponents

UT.Math.M2.N.RN.2

Rewrite an expression involving radicals and rational exponents using properties of exponents

880

Perform the 4 operations on radical expressions

UT.Math.M2.N.RN.2

Perform the four operations on algebraic radical expressions

881

Know the standard form of complex numbers

UT.Math.M2.N.CN.1

Know the standard form of complex numbers

911

Solve quadratic equations with complex solutions

UT.Math.M2.N.CN.7

Solve a quadratic equation that has complex solutions

915

Use exponent properties to modify an exponential

UT.Math.M2.A.SSE.3.c

Use the properties of exponents to write an equivalent form of an exponential function

883

Interpret exponentials using exponent properties

UT.Math.M2.A.SSE.1.b

Interpret an expression for an exponential function using the properties of exponents

885

Complete the square: find the max / min value

UT.Math.M2.A.SSE.3.b

Complete the square in a quadratic expression to find the maximum or minimum value of the function it defines

907

Solve a quadratic equation by factoring

UT.Math.M2.A.REI.4.b

Solve a quadratic equation by factoring

892

Solve a quadratic using the quadratic formula

UT.Math.M2.A.REI.4.b

Solve a quadratic equation by using the quadratic formula

896

Solve system of linear / quadratic: algebraically

UT.Math.M2.A.REI.7

Solve a system of equations consisting of a linear equation and a quadratic equation, algebraically

919

Interpret exponentials using exponent properties

UT.Math.M2.F.IF.8.b

Interpret an expression for an exponential function using the properties of exponents

885

Relate domain of quadratic function in context

UT.Math.M2.F.IF.5

Relate the domain of a quadratic function to the quantitative relationship the function describes

922

Graph a quadratic showing intercepts / max / min

UT.Math.M2.F.IF.7.a

Graph a quadratic function, showing its intercepts and maximum or minimum

925

Interpret critical values of quadratic: context

UT.Math.M2.F.IF.8.a

Interpret zeros, maxima or minima, and axis of symmetry of a quadratic function, given a context

926

Explain transformations on a quadratic's graph

UT.Math.M2.F.BF.3

Explain the effects of transformations on the graph of a quadratic function

937

Use the Pythagorean identity to find trig values

UT.Math.M2.F.TF.8

Use the Pythagorean identity to find trigonometric values

978

Tell if figures are similar via transformations

UT.Math.M2.G.SRT.2

Determine if two figures are similar by using similarity transformations

956

Prove the Pythagorean theorem using similarity

UT.Math.M2.G.SRT.4

Prove the Pythagorean theorem using triangle similarity

961

Solve problems: congruence / similarity criteria

UT.Math.M2.G.SRT.5

Solve a problem using congruence and similarity criteria

962

Define trig ratios: similar triangle side ratios

UT.Math.M2.G.SRT.6

Understand that the side ratios in similar right triangles define the trigonometric ratios

968

Relate / use: sine / cosine of complementary angles

UT.Math.M2.G.SRT.7

Use the relationship between the sine and cosine of complementary angles to solve a problem

971

Find length: special right triangle properties

UT.Math.M2.G.SRT.8

Determine a length using the properties of a 45-45-90 degree triangle or a 30-60-90 degree triangle

973

Solve right triangles: trig / Pythagorean theorem

UT.Math.M2.G.SRT.8

Solve a right triangle using trigonometric ratios and/or the Pythagorean theorem

975

Apply inscribed angle / radius / chord relationships

UT.Math.M2.G.C.2

Apply relationships among inscribed angles, radii, and chords

983

Find the length of an arc of a circle

UT.Math.M2.G.C.5

Find the length of an arc of a circle

989

Find the area of a sector of a circle

UT.Math.M2.G.C.5

Find the area of a sector of a circle

992

Apply pyramid / cone / cylinder / sphere volumes

UT.Math.M2.G.GMD.3

Solve a problem involving the volume of a pyramid, cone, cylinder, and/or sphere

1001

Summarize data in a 2-way frequency table

UT.Math.M2.S.ID.5

Summarize categorical data for two categories in a two-way frequency table

1002

Construct a two-way frequency table of data

UT.Math.M2.S.CP.4

Construct a two-way frequency table of data

1007

Find the conditional probability of an event

UT.Math.M2.S.CP.6

Determine the conditional probability of an event A given an event B

1013

Rewrite a polynomial in an equivalent form

UT.Math.M3.A.SSE.2

Rewrite a polynomial expression in equivalent forms, using the structure of the expression

1035

Use polynomial identities to get numerical facts

UT.Math.M3.A.APR.4

Describe a numerical relationship using polynomial identities

1020

Know and apply the Remainder theorem

UT.Math.M3.A.APR.2

Know and apply the Remainder theorem

1026

Add or subtract rational expressions

UT.Math.M3.A.APR.7

Add or subtract rational expressions

1032

Multiply or divide rational expressions

UT.Math.M3.A.APR.7

Multiply or divide rational expressions

1033

Graph a nonlinear equation using coordinate axes

UT.Math.M3.A.CED.2

Graph a nonlinear equation using coordinate axes

1075

Solve a rational equation in one variable

UT.Math.M3.A.REI.2

Solve a rational equation in one variable

1038

Solve a radical equation in one variable

UT.Math.M3.A.REI.2

Solve a radical equation in one variable

1039

Graph polynomial function: end behavior / zeros

UT.Math.M3.F.IF.7.c

Graph a polynomial function showing the end behavior and zeros where appropriate

1030

Graph a trigonometric function in context

UT.Math.M3.F.IF.7.e

Determine the graph of a trigonometric function that represents a specific context or situation

1070

Graph an exponential or log function in context

UT.Math.M3.F.IF.7.e

Determine a graph of an exponential or logarithmic function that represents a specific context or situation

1087

Relate domain to the function's context

UT.Math.M3.F.IF.5

Relate the domain of a function to the quantitative relationship the function describes

1092

Estimate an average rate of change given a graph

UT.Math.M3.F.IF.6

Estimate the average rate of change of a function over a specified interval on a graph

1095

Represent a function in multiple symbolic ways

UT.Math.M3.F.IF.8

Represent a function symbolically in multiple ways

1101

Compare properties of functions in unlike forms

UT.Math.M3.F.IF.9

Compare the properties of two functions each represented in a different way

1102

Find the inverse of a function

UT.Math.M3.F.BF.4.a

Find the inverse of a function

1106

Model a situation with a trigonometric function

UT.Math.M3.F.TF.5

Model a situation with a trigonometric function

1071

Exponential growth will exceed polynomial growth

UT.Math.M3.F.LE.3

Recognize that exponential growth eventually exceeds linear, quadratic, and polynomial growth

1078

Solve an exponential equation using logarithms

UT.Math.M3.F.LE.4

Solve an exponential equation using logarithms

1079

Relate radian measure of an angle to arc length

UT.Math.M3.F.TF.1

Understand radian measure of an angle and how it relates to arc length

1064

Know and apply the law of sines

UT.Math.M3.G.SRT.11

Know and apply the law of sines

1052

Know and apply the law of sines

UT.Math.M3.G.SRT.10

Know and apply the law of sines

1052

Know and apply the law of cosines

UT.Math.M3.G.SRT.11

Know and apply the law of cosines

1054

Know and apply the law of cosines

UT.Math.M3.G.SRT.10

Know and apply the law of cosines

1054

Fit a data set to a normal distribution

UT.Math.M3.S.ID.4

Fit a data set to a normal distribution

1108

Estimate population proportions from sample data

UT.Math.M3.S.IC.4

Estimate a population mean or proportion, using data from a sample survey

1116

Evaluate a report based on data

UT.Math.M3.S.IC.6

Evaluate a report based on data

1118