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Prioritized Standards

MAT-00.AR.OA.01

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
  (AR) Algebraic Reasoning 
(OA) Operations and Algebraic Thinking
Learners will analyze patterns and relationships to generate and interpret numerical expressions.
MAT-00.AR.OA.01 Automatically add and subtract within 5.

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Progressions

Operations – Basic Facts

  • MAT-00.AR.OA.01 Automatically add and subtract within 5. 
  • MAT-01.AR.OA.01 Automatically add and subtract within 10. 
  • MAT-02.AR.OA.01 Automatically add and subtract within 20. 
  • MAT-03.AR.OA.01 Using mental strategies, multiply and divide basic facts within 100. Automatically multiply and divide up to 5 x 5 and 10s facts. 
  • MAT-04.AR.OA.01 Automatically multiply and divide through 10 x 10. 
  • MAT-05.AR.OA.01 Automatically multiply and divide through 12 x 12.

MAT-00.AR.OA.04

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
  (AR) Algebraic Reasoning 
(OA) Operations and Algebraic Thinking
Learners will analyze patterns and relationships to generate and interpret numerical expressions.
MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10.*

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Progressions

Solve Problems Using Operations

  • MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10. 
  • MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation. 
  • MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20. 
  • MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns. 
  • MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10. 
  • MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20.
  • MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns. 
  • MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array. 
  • MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown. 
  • MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations. 
  • MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations. 
  • MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

MAT-00.AR.OA.05

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
  (AR) Algebraic Reasoning 
(OA) Operations and Algebraic Thinking
Learners will analyze patterns and relationships to generate and interpret numerical expressions.
MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10.*

proficiency scale iconProficiency Scale

Progressions

Solve Problems Using Operations

  • MAT-00.AR.OA.04 Solve authentic word problems with addition by putting together or adding to within 10. 
  • MAT-01.AR.OA.06 Use the +, -, and = symbols accurately in an equation. 
  • MAT-01.AR.OA.04 Solve authentic word problems with addition, including three numbers and unknowns, within 20. 
  • MAT-02.AR.OA.03 Solve one- and two-step authentic word problems with addition within 100, including the use of unknowns. 
  • MAT-00.AR.OA.05 Solve authentic word problems with subtraction by taking apart or taking from within 10. 
  • MAT-01.AR.OA.05 Solve authentic word problems with subtraction, including unknowns, within 20. 
  • MAT-02.AR.OA.04 Solve one- and two-step authentic word problems with subtraction within 100, including the use of unknowns. 
  • MAT-02.AR.OA.05 Use repeated addition to find the total number of objects arranged in a rectangular array. 
  • MAT-03.AR.OA.03 Solve two-step authentic word problems using addition and subtraction within 1000, including equations with a letter as an unknown. 
  • MAT-03.AR.OA.04 Use strategies and visual models to solve authentic word problems with multiplication within 100, including unknowns, using grouping models and equations.
  • MAT-03.AR.OA.05 Use strategies and visual models to solve authentic word problems with division within 100, including unknowns, using grouping models and equations. 
  • MAT-04.AR.OA.03 Solve multi-step authentic word problems using the four operations, including problems with interpreted remainders. Represent problems using equations, including a symbol as an unknown.

MAT-00.AR.OA.06

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
  (AR) Algebraic Reasoning 
(OA) Operations and Algebraic Thinking
Learners will analyze patterns and relationships to generate and interpret numerical expressions.
MAT-00.AR.OA.06 Recognize, duplicate, complete, and extend repeating patterns in a variety of contexts.* (e.g., shape, color, size, objects, sounds, and movement)

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Progressions

Patterns

  • MAT-00.AR.OA.06 Recognize, duplicate, complete, and extend repeating patterns in a variety of contexts (e.g., shape, color, size, objects, sounds, and movement). 
  • MAT-01.AR.OA.07 Identify, create, complete, and extend patterns that are repeating, increasing, and decreasing in a variety of contexts. 
  • MAT-02.AR.OA.06 Identify a group of objects from 0 to 20 as even or odd by showing even numbers as a sum of two equal parts. 
  • MAT-03.AR.OA.06 Identify arithmetic patterns and explain them using the properties of operations.
  • MAT-04.AR.OA.06 Generate a number or shape pattern that follows a given rule while identifying apparent features of the pattern that were not explicit in the rule itself. 
  • MAT-05.AR.OA.05 Generate two numerical patterns using two given rules and form ordered pairs consisting of corresponding terms from the two patterns. (Graphing on a coordinate plane). 
  • MAT-09.AR.01 Use the structure of an expression (i.e., quadratic and exponential) to identify ways to rewrite it. 
  • MAT-12.AR.02 Use the structure of an expression (to extend to polynomial and rational expressions) to identify ways to rewrite it.

MAT-00.DPS.D.01

BPSS-MAT-GM logo Kindergarten (MAT) Targeted Standard  
  (DPS) Data Probability and Statistics
(D) Data
Learners will represent and interpret data.
MAT-00.DPS.D.01 Sort and classify objects (up to 10) based on attributes and explain the reasoning used.*

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Progressions

Data Collection

  • MAT-00.DPS.D.01 Sort and classify objects (up to 10) based on attributes and explain the reasoning used. 
  • MAT-01.DPS.D.01 Collect, organize and represent data with up to three categories using picture and bar graphs. 
  • MAT-02.DPS.D.01 Formulate questions and collect, organize, and represent data, with up to four categories using single unit scaled pictures and bar graphs. 
  • MAT-03.DPS.D.01 Formulate questions to collect, organize, and represent data with more than four categories using scaled pictures and bar graphs. 
  • MAT-04.DPS.D.01 Formulate questions to collect, organize, and represent data to reason with math and across disciplines. 
  • MAT-06.DPS.DA.01 Write a statistical question that can be answered using measures of center or variability of a data set. 
  • MAT-07.DPS.DA.01 Identify the strengths and weaknesses of a population sample, including possible bias in the process of the data collection. 
  • MAT-12.DPS.06 Use data from a sample survey to estimate a population means or proportion; develop a margin of error through the use of simulation models for random sampling. 
  • MAT-12.DPS.09 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.

MAT-00.GM.G.01

BPSS-MAT-GM logo Kindergarten (MAT) Targeted Standard  
  (GM) Geometry and Measurement
(G) Geometry
Learners will compose and classify figures and shapes based on attributes and properties; represent and solve problems using a coordinate plane.
MAT-00.GM.G.01 Name shapes and identify them as two-dimensional regardless of their orientations or overall sizes.*

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Progressions

Two-Dimensional Shapes

  • MAT-00.GM.G.01 Name shapes and identify them as two-dimensional (squares, circles, triangles, rectangles)regardless of their orientations or overall size. 
  • MAT-00.GM.G.03 Compare and classify two-dimensional shapes to describe their similarities, differences, and attributes (squares, circles, triangles, rectangles). 
  • MAT-01.GM.G.01 Name shapes and identify them as two-dimensional (trapezoids, rhombuses, pentagons, hexagons, octagons). 
  • MAT-01.GM.G.03 Determine geometric attributes of two-dimensional and three-dimensional shapes. 
  • MAT-02.GM.G.01 Identify two-dimensional shapes (parallelograms and quadrilaterals). 
  • MAT-02.GM.G.03 Compose geometric shapes having specified geometric attributes, such as a given number of edges, angles, faces, vertices, and/or sides. 
  • MAT-03.GM.G.01 In two-dimensional shapes, identify lines, angles (right, acute, obtuse), and perpendicular and parallel lines. 
  • MAT-03.GM.G.02 Sort quadrilaterals into categories based on attributes. 
  • MAT-04.GM.G.01 Identify, label, and draw points, lines, line segments, rays, and angles (right, acute, obtuse). 
  • MAT-04.GM.G.02 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of specified size. 
  • MAT-05.GM.G.01 Classify two-dimensional figures in a hierarchy based on properties. 
  • MAT-10.GM.01 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, and plane. 
  • MAT-10.GM.09 Prove and apply theorems about lines and angles. MAT-10.GM.10 Prove and apply theorems about triangles. 
  • MAT-10.GM.11 Prove and apply theorems about parallelograms. 
  • MAT-10.GM.34 Identify the shapes of two-dimensional cross-sections of three-dimensional objects and identify three-dimensional objects generated by rotations of two-dimensional objects.

MAT-00.NO.CC.01

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(CC) Counting and Cardinality
Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.
MAT-00.NO.CC.01 Count verbally in sequential order by ones and tens to 100, making accurate decuple transitions (ex.89 to 90).
Count verbally forward from any given number within 100.*

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Progressions

Counting Forward 

  • MAT-00.NO.CC.01 Count verbally in sequential order by ones and tens to 100, making accurate decuple transitions (ex.89 to 90).
    Count verbally forward from any given number within 100. 
  • MAT-01.NO.CC.01 Count forward by ones and tens from any given point within 120. 
  • MAT-02.NO.CC.01 Count forward from any given number within 1000.

MAT-00.NO.CC.02

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(CC) Counting and Cardinality
Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.
MAT-00.NO.CC.02 Count backward from 20 by ones and from a given number within 10.*

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Progressions

Counting Backward

  • MAT-00.NO.CC.02 Count backward from 20 by ones and from a given number within 10. 
  • MAT-01.NO.CC.02 Count backward by ones and tens from any given number within 120. 
  • MAT-02.NO.CC.02 Count backward from any given number within 1000.

MAT-00.NO.CC.03

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(CC) Counting and Cardinality
Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.
MAT-00.NO.CC.03 Identify and write any given numeral within 20.*

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Progressions

Number Identification and Writing

  • MAT-00.NO.CC.03 Identify and write any given numeral within 20. 
  • MAT-01.NO.CC.03 Represent several objects with a written numeral up to 120. 
  • MAT-02.NO.CC.03 Read and write numbers up to 1,000 using standard, word, and expanded forms. 
  • MAT-03.NO.CC.01 Read and write numbers up to 10,000 using objects or visual representations including standard and expanded forms. 
  • MAT-04.NO.CC.01 Read numbers to the millions place including word, standard and expanded form. Write numbers to the millions place including standard and expanded form. 
  • MAT-05.NO.CC.01 Read, write, and compare decimals to the thousandths including standard and expanded forms.

MAT-00.NO.CC.04

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(CC) Counting and Cardinality
Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.
MAT-00.NO.CC.04 Recognize and verbally label arrangements, without counting, for briefly shown collections up to 10 (e.g., "I saw 5." How do you know?" "I saw 3 and 2, that is 5.").*

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Progressions

Subitizing 

  • MAT-00.NO.CC.04 Recognize and verbally label arrangements, without counting, for briefly shown collections up to 10 (e.g., "I saw 5." How do you know?" "I saw 3 and 2, that is 5."). 
  • MAT-01.NO.CC.04 Recognize and verbally label arrangements, without counting, for briefly shown collections up to 20 (e.g., "I saw 16." "How did you know?" "I saw 10 and 6, that is 16.").

MAT-00.NO.CC.05

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(CC) Counting and Cardinality
Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.
MAT-00.NO.CC.05 Count and tell how many objects up to 20 are in an arranged pattern or up to 10 objects in a scattered configuration. Represent a quantity of up to 20 with a numeral.*

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Progressions

Counting Patterns

  • MAT-00.NO.CC.05 Count and tell how many objects up to 20 are in an arranged pattern or up to 10 objects in a scattered configuration. Represent a quantity of up to 20 with a numeral. 
  • MAT-01.NO.CC.05 Skip count forward and backward by 5s and 10s from multiples and recognize the patterns of up to 10 skip counts. 
  • MAT-02.NO.CC.04 Skip count forward and backward by 2s and 100s and recognize the patterns of skip counts. 
  • MAT-10.DPS.09 Determine the number of outcomes using permutations and combinations in context. 
  • MAT-12.DPS.11 Use permutations and combinations to compute probabilities of compound events and solve problems.

MAT-00.NO.NBT.01

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(NBT) Number Based Ten
Learners will understand the place value structure of the base-ten number system and represent, compare, and perform operations with multi-digit whole numbers and decimals.
MAT-00.NO.NBT.01 Compare two numbers between 1 and 20 using words greater than, less than, or equal to.*

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Progressions

Place Value

  • MAT-00.NO.NBT.01 Compose and decompose numbers from 11 to 19 using a group of ten ones and some more ones using a model, drawing, or equation. 
  • MAT-01.NO.NBT.01 Demonstrate that the two digits of a two-digit number represent a composition of some tens and some ones. 
  • MAT-02.NO.NBT.01 Understand that the three digits of a three-digit number represent a composition of some hundreds, some tens, and some ones. 
  • MAT-04.NO.NBT.01 Understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. 
  • MAT-05.NO.NBT.01 Understand that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 
  • MAT-08.NO.NS.03 Use scientific notation to represent very large or very small quantities. Interpret scientific notation generated by technology. Compare and order numbers in scientific and standard notation.

MAT-00.NO.NBT.02

BPSS-MAT-NO logo Kindergarten (MAT) Targeted Standard  
 (NO) Number and Operations 
(NBT) Number Based Ten
Learners will understand the place value structure of the base-ten number system and represent, compare, and perform operations with multi-digit whole numbers and decimals.
MAT-00.NO.NBT.02 Compare two numbers between 1 and 20 using words greater than, less than, or equal to.*

proficiency scale iconProficiency Scale

Progressions

Compare Numbers and/or Expressions

  • MAT-00.NO.NBT.02 Compare two numbers between 1 and 20 using words greater than, less than, or equal to.  
  • MAT-01.NO.NBT.02 Compare two two-digit numbers using symbols >, <, and =. Justify comparisons based on the number of tens and ones.  
  • MAT-02.NO.NBT.02 Compare two three-digit numbers using symbols >, <, and =. Justify comparisons based on the value of thousands, hundreds, tens, and ones.  
  • MAT-03.NO.NBT.01 Compare two four-digit numbers using symbols, >, <, and =. Justify comparisons based on the value of thousands, hundreds, tens, and ones.  
  • MAT-04.NO.NBT.02 Compare two numbers to the millions place and decimals to the hundredths place, using symbols >, <, and =. Justify comparisons based on the value of the digits.  
  • MAT-05.NO.NBT.02 Compare two decimals to thousandths using symbols >, <, and =. Justify comparisons based on the value of the digits.  
  • MAT-06.NO.NS.01 Explain and show the relationship between non-zero rational numbers and their opposites using horizontal and vertical number lines in authentic problems. Use rational numbers to represent quantities in authentic contexts and explain the meaning of 0 in certain situations.  
  • MAT-06.NO.NS.02 Write, interpret, and explain statements of order for rational numbers on a number line and in authentic contexts.  
  • MAT-07.NO.NS.01 Describe the absolute value of a number as its distance from zero on a number line.  
  • MAT-08.NO.NS.01 Compare and classify real numbers within the real number system.  
  • MAT-08.NO.NS.02 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them on a number line diagram, and estimate the value of irrational expressions involving one operation.  
  • MAT-08.NO.NS.03 Use scientific notation to represent very large or very small quantities. Interpret scientific notation generated by technology. Compare and order numbers in scientific and standard notation.  
  • MAT-09.AR.06 Solve linear equations and inequalities (to include compound inequalities) in one variable.  
  • MAT-09.AR.08 Graph the solution set to a two-variable system of linear equations. Create and graph the solution set to a two-variable system of linear inequalities in context.  
  • MAT-09.AR.09 Solve absolute value equations and inequalities in one or two variables.  
  • MAT-12.AR.09 Represent constraints by equations or inequalities and by systems of equations and/or inequalities and interpret solutions as viable or non-viable options in a modeling context.