• i-Ready Classroom Mathematics: 3rd Grade Mathematics Content Standards

     

    What mathematical concepts should 3rd Grade students know by the end of the school year? 

     

    3rd Grade Mathematics Scope & Sequence
    Quarter 1 Quarter 2 Quarter 3 Quarter 4
    DMM Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6
     

    Unit Themes

    Developing Mathematical Mindsets

    Becoming a confident learner and doer of mathematics begins first with believing we are capable, that mistakes are essential to developing depth of understanding, and that most often our highest level work happens through collaboration with others.

    Unit 1: Three-Digit Numbers: Place Value, Addition, and Subtraction

    • Rounding numbers can be useful when estimating. Knowing how to round will help you with addition and subtraction.

    • You can use what you know about place value to add or subtract using partial sums or differences and other strategies.

    Unit 2: Multiplication and Division: Concepts, Relationships, and Patterns

    • Multiplication is a way of combining equal groups.  Knowing how to work with equal groups will help you with both multiplication and division problems.

    • There are many models and strategies to help you multiply. Knowing these strategies, such as breaking apart factors, will help make you more fluent with your multiplication facts. 

    • You can multiply numbers in any order. You can also use place value to multiply.

    • Division means separating a total number of objects into equal-sized groups. Knowing how to divide will help you find the number of groups or the number of items in a group.

    Unit 3: Multiplication: Finding Area, Solving Word Problems, and Using Scaled Graphs

    • Area is the measure of the space inside a shape.

    • You can use what you know about multiplication to find the area of a rectangle. U can add areas to find the area of complex shapes.

    • You can use what you know about arrays to help you model and solve multiplication and division problems.

    • The scale on a graph can be greater than 1. Knowing how to multiply will help you use scale to solve problems and data more efficiently.

    Unit 4: Fractions: Equivalence and Comparison, Measurement, and Data

    • Fractions are numbers that describe wholes divided into equal parts. Knowing how many equal parts you have will help you name fractions.

    • Fractions name points on a number line. Knowing about number lines can help you compare fractions with whole numbers and other fractions.

    • You can use what you know about fraction models and number lines to find different names for the same fraction, or equivalent fractions.

    • You can use what you know about fractions to compare fractions that have the same numerator or the same denominator.

    Unit 5: Measurement: Time, Liquid Volume, and Mass

    • Both analog and digital clocks are used to tell time.  Knowing how to read and tell time to the nearest minute will help you solve problems involving elapsed time.

    • You can use what you know about measurement to estimate and measure the volume of liquid in liters and the mass of an object in grams or kilograms.

    Unit 6: Shapes: Attributes and Categories, Perimeter and Area, and Partitioning

    • Two-dimensional shapes have many attributes. Knowing about these attributes will help you categorize shapes.

    • Perimeter is the sum of a shape's side lengths, and area measures the space inside the shape. Knowing a rectangle’s perimeter or area can help you reason about its shape.

    • You can divide shapes into equal parts to show fractional parts of a whole.

     

    Third Grade Math Content Standards

    What are the math expectations of third grade students?


    Operations and Algebraic Thinking 

    • Interprets multiplication as combining equal groups, e.g. 5 x 7 is the total number of objects in 5 groups of 7 objects each

    • Interprets division as separating a total number of objects into equal sized groups, e.g. 56 ÷ 8 is the number of objects in each group when 56 is broken into 8 equal groups or the number of groups when 56 is divided into groups of 8 objects each

    • Understands and applies mathematical properties (commutative, associative, and distributive) to multiply 

    • Multiplies and divides within 100 using various strategies 

    • Solves two-step word problems involving addition, subtraction, multiplication and division 

    • Identifies and explains patterns in arithmetic 

    Numbers and Operation in Base Ten 

    • Uses place value understanding to round whole numbers

    • Fluently add and subtract within 1000 using strategies and algorithms based on place value and properties of operations 

    Numbers and Operations -- Fractions

    • Understands a fraction as a quantity formed of equal parts

    • Understands a fraction on a number line has value and can place fractions on a number line

    • Compares fractions by reasoning about their size

    • Recognizes, creates, and compares equivalent fractions 

    Measurement and Data 

    • Solves problems involving measurement and estimation of intervals of time, liquid volume, and  masses of objects 

    • Tells and writes time to the nearest minute and measures time in intervals.

    • Measures and estimates liquid volume and mass of objects

    • Interprets data and creates a variety of graphs to represent data 

    • Understands concepts of area and relates area to multiplication and to addition 

    • Finds the area of rectangular shapes with whole-number side lengths using tiling, addition, and/or multiplication

    • Understands that an area of a shape can result in different perimeters and a given perimeter can result in different areas 

    Geometry 

    • Recognizes and describes shapes by their attributes and understands that different shapes can share the same attributes

    • Can divide a shape into fractional parts and can name the unit fraction e.g. when a shape is divided into four equal parts, each part is named 1/4

     

    Standards for Mathematical Practice 

    The eight standards for mathematical practice describe the “know-how” or habits of mind that we seek to develop in students. These practices define important methods and skills that students need to be mathematically proficient.


    1. Make sense of problems and persevere in solving them. 

    Students are able to “stick with” problems and will try multiple methods to reach a solution. 

    2. Reason abstractly and quantitatively. 

    Students understand that written numerals represent real world objects and quantities. 

    3. Construct viable arguments and critique the reasoning  of others. 

    Students are able to explain their own mathematical ideas and strategies and they respond to the thinking of others. 

    4. Model with mathematics. 

    Students represent problem situations in multiple ways including equations, mathematical words, labeled sketches, objects, making a chart, list, or graph. 

    5. Use appropriate tools strategically. 

    Students select the appropriate tools and resources to solve a problem. 

    6. Attend to precision. 

    Students use detailed and accurate mathematical vocabulary to  communicate mathematical understandings. 

    7. Look for and make use of structures. 

    Students notice attributes and structures in mathematics such as: sorts shapes by the number of sides or recognizes that 4 x 7 = 28  and 28 ÷ 7 = 4.

    8. Look for and express regularity in repeated reasoning. 

    Students notice repetitive actions in computation and look for patterns that support computation: 12 x 5 is the same as 10 x 5 and 2 x 5 to arrive at 60.