• i-Ready Classroom Mathematics: 4th Grade Mathematics Content Standards

     

    What mathematical concepts should 4th Grade students know by the end of the school year?

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

     

    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: Whole Numbers: Place Value, Comparison, Addition, and Subtraction

    • You can use what you know about place value to read, write, and compare multi-digit numbers.

    • Knowing that each place in a number is ten times greater than the place to its right can help you determine the value of numbers.

    • You can also use what you know about place value to round numbers and to add and subtract multi-digit numbers.

    Unit 2: Operations: Multiplication, Division, and Algebraic Thinking

    • You can solve problems involving multiplicative comparisons by using multiplication or division.

    • Knowing your basic multiplication facts will help you find the factors of a number.

    • You can use rules to generate or extend a number or shape pattern.

    Unit 3: Multi-Digit Operations and Measurement: Multiplication, Division, Perimeter, and Area

    • You can use what you know about place value to multiply multi-digit numbers.

    • You can use what you know about place value to help you divide.

    • Units of measurement can be divided into smaller units.  Knowing how these units relate to one another will help you convert measurements from the larger unit to the smaller unit.

    • You can use formulas to find the area and perimeter of rectangles.

    Unit 4: Fractions, Decimals, and Measurement: Addition, Subtraction, and Multiplication

    • Fractions are numbers that work like whole numbers. Knowing about whole numbers will help you add, subtract, multiply, and compare fractions.

    • You can use what you know about whole numbers to show, build, and take apart fractions to solve problems.

    • You can also use what you know about fractions to write and compare decimals.

    Unit 5: Geometry and Measurement: Figures, Classification, and Symmetry

    • Points, lines, line segments, rays, and angles are geometric figures.  Knowing about these figures will help you classify shapes based on their attributes.

    • You can use what you know about benchmark angles to estimate the size of an angle or you can measure it accurately with a protractor.

    • You can use what you know about angles and parallel and perpendicular lines to classify figures.
     

    Fourth Grade Math Content Standards

    What are the math expectations of fourth grade students?


    Operations and Algebraic Thinking 

    • Solves multi-step word problems involving addition, subtraction, multiplication, and division of whole numbers

    • Develops and uses accurate, efficient methods to multiply multi-digit whole numbers 

    • Gains familiarity with factors and multiples

    • Generates and analyze patterns that follow a given rule

    Numbers and Operation in Base Ten 

    • Generalizes place value understanding for multi-digit whole numbers

    • Uses place value understanding and properties of operations to perform multi-digit addition and subtraction

    • Multiplies and divides multi-digit numbers by one-digit numbers using strategies based on place value, properties of operations, and models.

    • Understands models for multi-digit multiplication, place value, and properties of operations (commutative, associative, and distributive) 

    Numbers and Operations -- Fractions

    • Extends understanding of equivalent fractions and ordering fractions 

    • Uses models and equations to solve problems involving addition and subtraction of fractions  including improper fractions and mixed numbers 

    • Uses models and equations to solve problems involving multiplication of a fraction by a whole  number 

    • Understands decimal notation for fractions

    • Determines decimal equivalents or approximations of common fractions 

    Measurement and Data 

    • Solves problems involving measurement and conversion of measurements 

    • Solves word problems involving distances, intervals of time, liquid volumes, masses of objects, and money.

    • Applies the area and perimeter formulas for rectangles to solve real world problems

    • Represent and interpret data on line plots 

    • Understands concepts of angles and measures angles

    Geometry 

    • Draws and identifies different types lines and angles

    • Classifies two-dimensional shapes based on properties of their lines and angles

    • Recognizes and draws lines of symmetry for two-dimensional shapes


    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.