Grade-level summaries are provided to offer an overview of the standards for each grade.
In kindergarten, students will:
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Collect, sort, analyze, and communicate data through charts and graphs.
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Identify coins and use measurement vocabulary to compare objects.
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Identify, describe, compare, and analyze 2D and 3D shapes based on their attributes.
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Build number sense for numbers 0 to 20, focusing on counting, comparing quantities, and understanding whole numbers. A major focus will be subitizing quantities to 10.
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Use multiple representations to solve addition and subtraction problems within 10, exploring the relationship between these operations.
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Extend and continue patterns using reasoning.
In first grade, students will:
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Create investigative questions, collect data, and sort, analyze, and communicate it using charts and graphs.
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Identify coins and bills by name and value, count collections of like coins not to exceed one dollar, and tell time to the hour on analog and digital clocks.
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Identify, describe, classify, construct, compare, and analyze two-dimensional and three-dimensional shapes based on their attributes.
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Build number sense and place value understanding for numbers 0 to 100, count by grouping items into tens, compare numbers using various representations, and partition shapes into equal parts as a building block for fractional understanding.
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Use multiple representations to solve addition and subtraction problems within 100, understand the equal sign, and explore the relationship between addition and subtraction.
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Apply concepts to mathematical and real-world situations and use reasoning to create, describe, and extend patterns.
In second grade, students will:
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Create investigative questions, collect data, and represent it through charts and graphs.
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Identify and write the values of coins and bills, count collections of mixed coins not to exceed one dollar, and count collections of mixed bills with the total value not to exceed 100 dollars. They will tell and record time in five-minute intervals and measure object lengths using appropriate tools. Students will also explore two-dimensional and three-dimensional shapes based on their attributes.
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Build number sense and place value understanding for numbers 0 to 999, count by grouping items into tens or hundreds to demonstrate place value structure, and compare numbers using various representations. They will partition shapes into halves and fourths as a building block for fractional understanding. They will identify the nearest multiple of 10 for a given two-digit number.
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Use a variety of strategies to solve addition and subtraction problems within 100, understand the equal sign, and explore the relationship between these operations. They will begin using arrays to connect addition and multiplication and recognize, describe, extend, and create patterns.
In third grade, students will:
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Collect, analyze, and communicate data through tables, charts, and scaled graphs, and be introduced to probability by representing the likelihood of simple events.
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Solve area and perimeter problems in real-world and mathematical situations, connecting area with multiplication. They will measure lengths in customary and metric units, determine elapsed time to the half-hour, and record time in one-minute intervals. Students will also determine the value of collections of money greater than one dollar and record using decimal notation.
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Represent and compare whole numbers within the base ten system and build a strong foundation in fractions using concrete, area, and linear models.
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Use multiple representations to solve problems involving operational properties of whole numbers. They will explore addition, subtraction, and build a strong foundation in multiplication and division, leading to solving multi-digit problems in later grades. They will also represent and solve algebraic and numerical situations involving unknowns and patterns.
In fourth grade, students will:
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Be introduced to collecting and organizing numerical and categorical data based on observations, surveys, and experiments.
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Interpret whole number and fractional data from observations, surveys, and experiments using tables, scaled bar graphs, or dot plots, and solve one-step problems. They will continue learning about probability by determining the likelihood of events, identifying events as impossible, equally likely, or certain.
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Solve real-world problems involving the perimeter and area of rectangles, identify missing side lengths, and label units with square units. They will estimate and measure lengths to the nearest quarter inch and half centimeter, classify polygons based on attributes, and investigate attributes to classify shapes.
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Use relationships within the base ten system to represent, compare, and order whole numbers, fractions, and decimals. They will focus on building a strong understanding of fractions, use models and reasoning strategies to generate fraction equivalencies, and represent fractions and decimals in multiple ways.
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Use multiple representations to reason and solve problems involving whole numbers and decimals. They will use standard algorithms and various previously taught strategies for addition and subtraction, and build on multiplication and division concepts to operate with multi-digit problems. Students will develop an understanding of operations involving fractions. Students will begin to operate with fractions with the same denominator and decimals (limited to tenths and hundredths). Additionally, they will describe and extend numerical patterns using their knowledge of operations and number relationships.
In fifth grade, students will:
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Explore data by finding the range and mode and solve one-step problems using tables, line graphs, scaled bar graphs, or dot plots. They will analyze categorical and numerical data to make predictions and draw conclusions and continue learning about probability by representing simple events as fractions.
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Solve problems involving the area and perimeter of composite rectangles, including both whole and fractional numbers, and be introduced to the volume of right rectangular prisms. They will convert between measurements, estimate and measure lengths, and use the coordinate system to plot and label ordered pairs in the first quadrant.
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Represent and compare multi-digit numbers with decimals, build a strong understanding of decimal values, and convert between fractions and decimals using number lines and reasoning strategies. A major focus for students in fifth grade will include building a strong conceptual foundation of understanding decimal values.
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Use multiple representations to reason and solve problems involving operational properties of decimals, fractions, and whole numbers, focusing on solidifying their understanding of multi-digit operations and standard algorithms for addition, subtraction, multiplication, and division.
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Learn to simplify fractions using factors and multiples, graph ordered pairs, understand functions, and use grouping symbols to evaluate numerical expressions.
