South Carolina 2025 Fifth Grade Math Standards

Data and Probability

Standard 1: Demonstrate an understanding of data collection, analysis, and probability.
 

Enduring Understanding: Data can be collected, represented, and analyzed to solve problems and make predictions. Probability helps describe the likelihood of events.

Indicators:

• 5.DPSR.1.1 – Describe data by determining the range and mode, including whole numbers, fractions, and decimals (to the hundredths).

• 5.DPSR.1.2 – Solve two-step, real-world problems using data shown in tables, line graphs, bar graphs, or dot plots.

• 5.DPSR.1.3 – Analyze data in graphs to make predictions and draw conclusions.

• 5.DPSR.2.1 – Represent the probability of simple events as 0, a fraction, or 1.

Measurement and Geometry

Standard 2: Demonstrate an understanding of measurement, geometry, and spatial reasoning.

Enduring Understanding:
Measurement and geometric reasoning help us describe, compare, and solve real-world problems involving space, shape, and size.

Indicators:

• 5.MGSR.1.1 – Solve problems involving area and perimeter of composite figures by breaking them into rectangles.

• 5.MGSR.1.2 – Measure and estimate the volume of rectangular prisms using unit cubes.

• 5.MGSR.2.1 – Convert measurements within the same system (length, weight, liquid volume, and time) and apply them to real-world problems.

• 5.MGSR.2.2 – Measure lengths to the nearest eighth of an inch or millimeter.

• 5.MGSR.3.1 – Identify and use the coordinate plane to write and plot ordered pairs in the first quadrant.

• 5.MGSR.3.2 – Graph and interpret real-world situations using points on the coordinate plane.

Expansion and Migration

Standard 1: Demonstrate an understanding of the economic, political, and social effects of expansion and industrialization on the United States and South Carolina between 1860–1910.
 

Enduring Understanding: The Second Industrial Revolution, urbanization, and access to resources contributed to U.S. expansion. Migration within and into the U.S. created tensions and enriched national culture.

Indicators:

• 5.1.CO – Compare the physical landscape and demographics of the U.S. before and after the Transcontinental Railroad. (Focus on how building the railroad changed the land and settlement patterns.)
  
  

• 5.1.CE – Examine push- and pull-factors related to immigration and expansion on urban and rural populations. (Focus on why people immigrated and how immigrant cultures influenced society.)
  
  

• 5.1.P – Summarize how U.S. involvement in the Spanish American War led to increased economic expansion and imperialism. (Focus on U.S. overseas markets and industrial growth.)
  
  

• 5.1.CX – Contextualize how the Second Industrial Revolution led to a desire for raw materials and U.S. involvement in imperialistic efforts and economic expansion. (Focus on industrialization in the U.S. and South Carolina.)
  
  

• 5.1.CC – Summarize how imperialism and economic expansion impacted different groups and shaped American cultural identities. (Topics may include labor, working conditions, and population growth.)
  
  

• 5.1.E – Analyze multiple perspectives on economic, political, and social effects of western expansion, the Industrial Revolution, and immigration using primary and secondary sources.
  
  

Data and Probability

Standard 1: Demonstrate an understanding of data collection, analysis, and probability.

Enduring Understanding:
Data can be collected, represented, and analyzed to solve problems and make predictions. Probability helps describe the likelihood of events.

Indicators:

• 5.DPSR.1.1 – Describe data by determining the range and mode, including whole numbers, fractions, and decimals (to the hundredths).

• 5.DPSR.1.2 – Solve two-step, real-world problems using data shown in tables, line graphs, bar graphs, or dot plots.

• 5.DPSR.1.3 – Analyze data in graphs to make predictions and draw conclusions.

• 5.DPSR.2.1 – Represent the probability of simple events as 0, a fraction, or 1.

Number and Operations

Standard 3: Demonstrate an understanding of numbers and relationships within the base-ten system and fractions.

Enduring Understanding:
Numbers can be represented in multiple ways, and understanding their relationships helps solve problems involving whole numbers, decimals, and fractions.

Indicators:

• 5.NR.1.1 – Read, write, and represent numbers up to 999 with decimals to the thousandths place.

• 5.NR.1.2 – Explain how the value of a digit changes based on its place in a number.

• 5.NR.1.3 – Round decimal numbers to the nearest whole number, tenth, or hundredth.

• 5.NR.1.4 – Use patterns to explain multiplying and dividing by powers of 10.

• 5.NR.2.1 – Compare fractions and mixed numbers using common denominators and symbols (<, >, =).

Operations and Algebraic Thinking

Standard 4: Demonstrate an understanding of operations with whole numbers and decimals.

Enduring Understanding:
Efficient strategies and mathematical properties can be used to solve problems involving all four operations with whole numbers and decimals.

Indicators:

• 5.PAFR.1.1 – Multiply multi-digit numbers using strategies and real-world contexts.

• 5.PAFR.1.2 – Divide multi-digit numbers using strategies, including interpreting remainders.

• 5.PAFR.1.3 – Add and subtract decimals to the hundredths.

• 5.PAFR.1.4 – Multiply and divide decimals by one-digit whole numbers and explain the reasoning.

Fraction Operations

Standard 5: Demonstrate an understanding of operations with fractions.

Enduring Understanding:
Fractions can be combined, compared, and applied to real-world situations using multiple strategies and representations.

Indicators:

• 5.PAFR.2.1 – Add and subtract fractions and mixed numbers with unlike denominators.

• 5.PAFR.2.2 – Multiply fractions and whole numbers in real-world situations.

• 5.PAFR.2.3 – Interpret and solve division problems involving whole numbers and unit fractions.

Algebraic Reasoning

Standard 6: Demonstrate an understanding of numerical and algebraic reasoning.

Enduring Understanding:
Patterns, relationships, and expressions help represent and solve real-world mathematical situations.

Indicators:

• 5.PAFR.3.1 – Determine the least common multiple (LCM) to find common denominators.

• 5.PAFR.3.2 – Determine the greatest common factor (GCF) to simplify fractions.

• 5.PAFR.3.3 – Identify patterns in function tables and write rules as expressions.

• 5.PAFR.3.4 – Write and evaluate numerical expressions using parentheses to represent real-world situations.