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# (GM) Geometry and Measurement

### Cluster (AV) Area and Volume

#### Learners will use visualization and spatial reasoning to solve problems involving the area, surface area, and volume of geometric figures.

• Units of Measurement
• Perimeter
• Volume
• Circle Measurements

# (NO) Number and Operations

### Cluster (CC) Counting and Cardinality

#### Learners will understand the relationship between numerical symbols, names, quantities, and counting sequences.

• Counting Forward
• Counting Backward
• Number Identification and Writing
• Subitizing
• Counting Patterns

# (AR) Algebraic Reasoning

### Cluster (D) Data

#### Learners will represent and interpret data.

• Data Collection
• Displaying Data
• Data Analysis

# (AR) Algebraic Reasoning

### Cluster (EE) Expressions and Equations

#### Learners will look for, generate, and make sense of patterns, relationships, and algebraic symbols to represent mathematical models while adapting approaches in novel situations.

• Properties of Operations
• Factor Pairs/Multiples
• Equations / Expressions
• Linear Equations
• Equivalent Expressions
• Inequalities

# (AR) Algebraic Reasoning

### Cluster (F) Functions

#### Learners will develop a foundational knowledge of functions and use them to model relationships between quantities.

• Functional Relationships
• Graphing Functions

# (GM) Geometry and Measurement

### Cluster (G) Geometry

#### Learners will compose and classify figures and shapes based on attributes and properties; represent and solve problems using a coordinate plane.

• Two-Dimensional Shapes
• Three-Dimensional Shapes
• Compare Shapes
• Symmetry
• Coordinate Plane
• Congruence and Similarity
• Transformations
• Angles and Triangles

# (GM) Geometry and Measurement

### Cluster (GF) Geometric Figures

#### Learners will use visualization, spatial reasoning, and geometric modeling to investigate the characteristics of figures, perform transformations, and construct logical arguments.

• Three-Dimensional Shapes
• Coordinate Plane
• Congruence and Similarity
• Transformations
• Angles and Triangles

# (GM) Geometry and Measurement

### Cluster (M) Measurement

#### Learners will represent and calculate measurement data, including time, money, and geometric measurement, and convert like measurement units within a given system.

• Measure Length
• Compare Objects
• Units of Measurement
• Time
• Money
• Perimeter
• Area / Surface Area
• Volume

# (NO) Number and Operations

### Cluster (NBT) Number Base 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.

• Place Value
• Compare Numbers and/or Expressions
• Rounding Numbers
• Addition and Subtraction
• Multiplication and Division

# (NO) Number and Operations

### Cluster (NF) Number Fractions

#### Learners will understand fractions and equivalency to represent, compare, and perform operations of fractions and decimals.

• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions

# (NO) Number and Operations

### Cluster (NS) Number System

#### Learners will expand their knowledge of the number system to create connections and solve problems within and across concepts.

• Place Value
• Compare Numbers and/or Expressions
• Rounding Numbers

# (NO) Number and Operations

### Cluster (O) Operations

#### Learners will expand their computational fluency to create connections and solve problems within and across concepts.

• Addition and Subtraction
• Multiplication and Division
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions

# (AR) Algebraic Reasoning

### Cluster (OA) Operations and Algebraic Thinking

#### Learners will analyze patterns and relationships to generate and interpret numerical expressions.

• Operations - Basic Facts
• Properties of Operations
• Decompose Numbers and/or Expressions
• Factor Pairs/Multiples
• Solve Problems Using Operations
• Equations / Expressions
• Patterns

• Probability

# (AR) Algebraic Reasoning

### Cluster (RP) Ratios and Proportional Relationships

#### Learners will use ratios, rates, and proportions to model relationships and solve problems.

• Ratio and Proportional Relationships
• Percents
• Unit Rate

### M

#### MAT-MA.C

##### MAT-MA.C (C) Connections

Create connections within and across concepts, using supporting evidence to interpret how they originate, extend, and relate to other learning, ideas, and life experiences.

MAT-K2.MA.C Learners can make connections and demonstrate relationships using words, pictures, or symbols.

MAT-EL.MA.C Learners can make connections and summarize related ideas using supporting evidence.

MAT-MS.MA.C Learners can create connections within and across concepts and provide examples of how they relate to other learning and ideas using supporting evidence.

MAT-HS.MA.C Learners can create connections within and across concepts, using supporting evidence to interpret how they originate, extend, and relate to other learning, ideas, and life experiences

MAT-LL.MA.C Learners can apply connections and develop generalizations within and across concepts to execute effective decision-making or generate new ideas.

#### MAT-MA.P

##### MAT-MA.P (P) Problem-Solving

Analyze, execute, evaluate, and adapt approaches and solutions when solving novel situations.

MAT-K2.MA.P Learners can identify and use strategies to problem solve situations and determine an appropriate solution.

MAT-EL.MA.P Learners can develop and carry out a logical plan to problem-solve situations, reflect on the reasonableness of solutions, and explore alternate strategies with guidance.

MAT-MS.MA.P Learners can analyze information and formulate a flexible, systematic plan to problem-solve authentic situations and reflect on the reasonableness of the solution, making revisions when necessary.

MAT-HS.MA.P Learners can analyze, execute, critique, and adapt approaches and solutions when problem-solving in novel situations.

MAT-LL.MA.P Learners can integrate their cumulative knowledge and life experiences to discern and prioritize information in authentic situations, consider and apply alternative methods of resolution, and evaluate the relevance, efficacy, and accuracy of solutions.

#### MAT-MA.R

##### MAT-MA.R (R) Reasoning and Proof

Reason logically, citing relevant evidence to explain and critique what they see, think, and conclude through exploration, generalization, and validation.

MAT-K2.MA.R Learners can use prior knowledge and experiences to explain their thinking.

MAT-EL.MA.R Learners can reason logically based on experience and knowledge, citing evidence to support their reasoning and conclusions.

MAT-MS.MA.R Learners can reason logically, citing evidence to evaluate and explain what they see, think, and conclude through exploration and justification.

MAT-HS.MA.R Learners can reason logically, citing evidence to critique and explain what they see, think, and conclude through exploration, generalization, and validation.

MAT-LL.MA.R Learners can reason logically to discern the validity of information and synthesize it to formulate, investigate, and critique claims and evidence.

### N

#### ND REA Prioritized

The North Dakota Standards-Based Learning (NDSBL) team is a collaborative of Regional Education Associations (REA) the Northeast Education Services Cooperative (NESC), South East Education Cooperative (SEEC), and Central Regional Education Association (CREA), supported by the North Dakota Department of Public Instruction (NDDPI). They believe in equitable resources and learning opportunities for students and educators across North Dakota. We are passionate about high-quality curriculum, instruction, and assessment practices that help educators understand and meet their students’ needs and engage their students and stakeholders in the learning process.

### P

#### Prioritized Standards Identifiers

##### Prioritized Standards are those that have been identified as most essential to a particular grade level, content area, or course.

Although it is still important to teach standards that are not deemed prioritized, teachers devote significant time and resources to ensuring that prioritized standards are mastered.

 Keyword(s): BPS-PrioritizedBPS-Prioritized Standards

### S

#### Standards Identifiers auto-link

Standards Identifiers auto-link to provide a consistent, clear understanding of what students are expected to learn.

In LearnBPS, the auto-linking glossary acts like a built-in definitions of standards expectations that automatically connecting these  with predefined terms to PowerSchool.

 Keyword(s): BPS-Supporting

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