Grade 3 Math Minnesota standards Standards

Data Analysis

Geometry & Measurement

Algebra

Number & Operation

Patterns and Relationships: Represent and connect mathematical patterns and relationships using verbal descriptions, generalizations, tables and graphs. Use representations to generate questions, make predictions and solve mathematical problems.

Equivalence and Relational Thinking: Use concepts and properties of equivalence and relational thinking to represent and compare numerical expressions, proportional relationships, algebraic expressions and equations.

Number Relationships: Describe/Interpret and use quantities, relationships between and representations of quantities and number systems. Describe and relate operations. Use strategies and procedures accurately, efficiently and flexibly. Assess the reasonableness of the results.

Patterns and Relationships

Geometry: Analyze characteristics of geometric shapes to make mathematical arguments and justifications about geometric relationships. Use visualization and geometric modeling to compare, solve problems and communicate ideas.

Measurement: Investigate measurement using a variety of tools, units, systems, processes and techniques in various cultures. Explain and reason with attributes, estimations and formulas to communicate measurement(s) and relationships effectively. Justify decisions and consider the reasonableness of the measurement.

Spatial Reasoning

Chance and Uncertainty: Apply and explain the concepts of probability to interpret data, generate questions, predict and make informed decisions to solve problems and communicate ideas.

Data Sciences: Identify, formulate and investigate statistical questions by collecting data considering cultural perspectives, analyzing and interpreting data and communicating the results.

Data Analysis

Compare and represent whole numbers up to 100,000 with an emphasis on place value and equality.

Read, write and represent whole numbers up to 100,000. Representations may include numerals, expressions with operations, words, pictures, number lines, and manipulatives such as bundles of sticks and base 10 blocks.

Notice and describe patterns in data-rich situations or given data sets. Ask statistical questions that can be answered with data. (MP7) ☼ ✜

Use place value to describe whole numbers between 1000 and 100,000 in terms of ten thousands, thousands, hundreds, tens and ones.

Describe how data can be collected, including from surveys, grouping of items and measurement, to answer a statistical investigative question. (MP7) ☼

Find 10,000 more or 10,000 less than a given five-digit number. Find 1000 more or 1000 less than a given four- or five-digit. Find 100 more or 100 less than a given four- or five-digit number.

Collect and organize data to answer a statistical question using various tools and addressing missing or incomplete data. Represent data in a variety of ways including technology. (MP1, MP5) # μ ☼

Round numbers to the nearest 10,000, 1000, 100 and 10. Round up and round down to estimate sums and differences.

Make predictions and recognize that the amount and source of the data impacts the accuracy of predictions. (MP4, MP8)

Compare and order whole numbers up to 100,000.

Critically analyze data visualizations, including frequency tables, bar graphs, picture graphs or number line plots having a variety of scales to support a claim and solve situations. (MP1, MP3) $ #

Add and subtract multi-digit whole numbers; represent multiplication and division in various ways; solve real-world and mathematical problems using arithmetic.

Add and subtract multi-digit numbers, using efficient and generalizable procedures based on knowledge of place value, including standard algorithms.

Describe outcomes of events as impossible, certain, likely, unlikely and equally likely. (MP1, MP4)

Use addition and subtraction to solve real-world and mathematical problems involving whole numbers. Use various strategies, including the relationship between addition and subtraction, the use of technology, and the context of the problem to assess the reasonableness of results.

Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting. Represent division facts by using a variety of approaches, such as repeated subtraction, equal sharing and forming equal groups. Recognize the relationship between multiplication and division.

Solve real-world and mathematical problems involving multiplication and division, including both "how many in each group" and "how many groups" division problems.

Use strategies and algorithms based on knowledge of place value, equality and properties of addition and multiplication to multiply a two- or three-digit number by a one-digit number. Strategies may include mental strategies, partial products, the standard algorithm, and the commutative, associative, and distributive properties.

Understand meanings and uses of fractions in real-world and mathematical situations.

Read and write fractions with words and symbols. Recognize that fractions can be used to represent parts of a whole, parts of a set, points on a number line, or distances on a number line.

Understand that the size of a fractional part is relative to the size of the whole.

Order and compare unit fractions and fractions with like denominators by using models and an understanding of the concept of numerator and denominator.

Use single-operation input-output rules to represent patterns and relationships and to solve real-world and mathematical problems.

Create, describe, and apply single-operation input-output rules involving addition, subtraction and multiplication to solve problems in various contexts.

Use number sentences involving multiplication and division basic facts and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentences.

Understand how to interpret number sentences involving multiplication and division basic facts and unknowns. Create real-world situations to represent number sentences.

Use multiplication and division basic facts to represent a given problem situation using a number sentence. Use number sense and multiplication and division basic facts to find values for the unknowns that make the number sentences true.

Measure lengths to the nearest fourth when measuring with standard units. (MP2, MP5) ☼

Compare and contrast the relative sizes of measurement units within one system (inches and feet, centimeters and meters, grams and kilograms, ounces and pounds). (MP5, MP6) $ ☼

Calculate the perimeter of a polygon with whole number side lengths. (MP5, MP6)

Use addition and subtraction with whole numbers, within 100, to calculate change up to one dollar in several different ways, using $ and ¢ symbols appropriately. (MP7, MP8) $

Create representations of regular and irregular polygons with a given number of sides, including triangles, quadrilaterals, pentagons, hexagons and octagons. (MP2, MP6) ✜ ☼

Use geometric attributes to describe and create shapes in various contexts.

Identify parallel and perpendicular lines in various contexts, and use them to describe and create geometric shapes, such as right triangles, rectangles, parallelograms and trapezoids.

Sketch polygons with a given number of sides or vertices (corners), such as pentagons, hexagons and octagons.

Understand perimeter as a measurable attribute of real-world and mathematical objects. Use various tools to measure distances.

Use half units when measuring distances.

Find the perimeter of a polygon by adding the lengths of the sides.

Measure distances around objects.

Use time, money and temperature to solve real-world and mathematical problems.

Tell time to the minute, using digital and analog clocks. Determine elapsed time to the minute.

Know relationships among units of time.

Make change up to one dollar in several different ways, including with as few coins as possible.

Use an analog thermometer to determine temperature to the nearest degree in Fahrenheit and Celsius.

Given a value, mentally find 100 more or 100 less, 1,000 more or 1,000 less and 10,000 more or 10,000 less than the number. Justify reasoning by referencing a model. (MP2, MP3)

Use pictures and symbols to represent non- unit fractions up to 2 as sums of unit fractions using halves, fourths, thirds and eighths. (MP8)

Generate equivalent forms of one-half and 1 using fractions with denominators of 2, 4 and 8 and justify why these forms are equivalent using a visual model. (MP2, MP3)

Compare and order unit fractions using visual models and describe how the size of the fraction changes as the denominator changes. (MP1, MP7) μ

Use addition and subtraction with estimated whole numbers to create short- term and long-term spending and saving goals based on planned and unplanned financial decisions. (MP2) $

Recognize and describe the place value of numbers between 10 and 10,000 as a relationship of groups of ten, hundreds and thousands plus an amount of a single digit. Know that 10,000 is 100 hundreds, 1,000 is 10 hundreds or 100 tens. (MP7)

Compare and order whole numbers up to 100,000 justifying with place value language, number lines, and other tools using >, = and < symbols to record the results of comparisons. (MP3, MP4) $ ☼

Estimate sums and differences up to 1,000 using strategies based on benchmarks and place value language. (MP2) ✜ $ ☼

Use a range of strategies and algorithms based on knowledge of place value and equality to flexibly add and subtract within 1,000. Strategies may include decomposition, expanded notation and partial sums and differences. Explain how the strategies work using place value and the properties of operations. (MP1, MP7) $ μ

Represent and solve contextual situations involving multiplication, measurement division and partitive division with single digit factors using visual models. (MP1, MP4) $ μ ☼

Multiply and divide within 144, using strategies such as equal groups, repeated addition, the relationship between multiplication and division or properties of operations. Develop fluency with facts of 2s, 5s, 10s and square products. (MP7)

Multiply one-digit whole numbers by multiples of 10 and 100 using strategies such as decomposition of factors of ten, place value language, repeated addition and properties of operations. (MP7, MP8) $ ☼

Partition a whole into halves, thirds, fourths and eighths. Wholes can be circles, rectangles and the distance between 0 and 1 on a number line. (MP4, MP6) ☼

Use relational thinking to find a missing value in an open number sentence with up to three-digit whole number addition and subtraction expressions. Determine if the equation is true or false. Justify your reasoning. (MP3) $ #

Make conjectures and justifications about multiplication and division involving 0 and 1 with true/false and open number equations. (MP3)

Make conjectures and justifications using the commutative and associative properties of addition and multiplication with true/false and open number equations. (MP1, MP3) μ

Create, describe and apply single-operation input-output rules involving addition, subtraction and multiplication to solve situations in various contexts, including when x and y are 0. (MP7) ☼

Create the next two terms and the previous term in a visual pattern, growing or shrinking, and justify reasoning. (MP1, MP7) μ ✜

Collect, organize, display, and interpret data. Use labels and a variety of scales and units in displays.

Collect, display and interpret data using frequency tables, bar graphs, picture graphs and number line plots having a variety of scales. Use appropriate titles, labels and units.