Grade+4+Math

This page provides families an overview of what to expect in Fourth Grade Mathematics. Information about the Massachusetts mathematics content and practice standards and enVisionMATH Common Core 2012 program resources are included. Each domain listed in the "What to Expect" table below links to student activities and interactive tools that families may use to engage their children in optional learning experiences at home.

**Quick Links** What to Expect in Fourth Grade Mathematics How Learning is Assessed Standards of Mathematical Practice iTunes Apps

 =How Learning is Assessed=
 * What to Expect in Fourth Grade Mathematics **
 * [[image:http://a1.mzstatic.com/us/r1000/024/Purple6/v4/44/de/1a/44de1a96-60d3-c2e8-77f2-71dc7a7d88f8/mzl.nbeljjsz.480x480-75.jpg width="207" height="156" align="center"]] || [[image:http://www.venturaes.com/curriculum/HOM3/Graphics/FS12_N/FS_Frac_Decimals3.jpeg width="238" height="142"]] || [[image:http://www.marktwainmediamath.com/CD-5930_F.jpg width="133" height="164" align="center"]] ||
 * **Term 1 Domains (Sep - Nov)**
 * Operations and Algebraic Thinking
 * Number and Operations (Base Ten) || **Term 2 Domains (Nov - Feb)**
 * Operations and Algebraic Thinking
 * Number and Operations (Base Ten)
 * Number and Operations (Fractions) || **Term 3 Domains (Mar - Jun)**
 * Operations and Algebraic Thinking
 * Number and Operations (Fractions)
 * Measurement and Data
 * Geometry ||

** Operations and Algebraic Thinking **
remainders have to be interpreted ||  || reasonableness of answers ||  ||
 * **Assessment Indicator** || **Term(s)** ||
 * Uses addition and subtraction with whole numbers to solve word problems ||  ||
 * Uses multiplication and division with whole numbers to solve word problems, including problems in which
 * Solves multi-step word problems using the four operations and uses estimation strategies to assess the
 * Demonstrates an understanding of multiples and factors ||  ||
 * Generates and analyzes patterns ||  ||

** Number and Operations (Base Ten) **

 * **Assessment Indicator** || **Term(s)** ||
 * Generalizes place value understanding for multi-digit whole numbers ||  ||
 * Uses standard algorithm to perform multi-digit addition and subtraction ||  ||
 * Knows multiplication and division facts through 12s tables ||  ||
 * Uses strategies based on place value to multiply 4-digit by 1-digit numbers and 2-digit by 2-digit numbers ||  ||
 * Uses strategies based on place value to divide 4-digit by 1-digit numbers ||  ||
 * Demonstrates an understanding of the relationship between multiplication and division ||  ||
 * Number and Operations (Fractions) **
 * **Assessment Indicator** || **Term(s)** ||
 * Demonstrates an understanding of fraction equivalence and ordering ||  ||
 * Adds and subtracts fractions and mixed numbers with like denominators ||  ||
 * Multiplies a fraction by a whole number ||  ||
 * Solves word problems involving fractions ||  ||
 * Demonstrates an understanding of decimal notation for fractions with denominators of 10 and 100 ||  ||
 * Compares decimals to the hundredths place ||  ||

** Measurement and Data **

 * **Assessment Indicator** || **Term(s)** ||
 * Solves problems involving measurement and conversion of measurements within one system ||  ||
 * Applies the area and perimeter formulas for rectangles ||  ||
 * Represents and interprets data using line plots ||  ||
 * Demonstrates an understanding of angles and measures angles ||  ||

** Geometry **
 **Standards of Mathematical Practice**  =iTunes Apps= Math Tappers - []
 * **Assessment Indicator** || **Term(s)** ||
 * Draws and identifies lines and angles ||  ||
 * Classifies shapes by properties of their lines and angles ||  ||
 * Demonstrates an understanding of symmetry ||  ||
 * 1) **__Make sense of problems and persevere in solving them__** - In fourth grade, students look for meaning in problems and identify ways to solve them. They engage in discussions about tools and strategies, use concrete objects or pictures to help them conceptualize, and check their thinking by asking, "Does this make sense?" Fourth grade students will often use another method to check their answers.
 * 2) __**Reason abstractly and quantitatively**__ - Fourth graders recognize that a number represents a specific quantity. They connect the quantity to written symbols and create a logical representation of the problem, considering both the appropriate units and the meaning of the quantities. They extend this understanding from whole numbers to their work with fractions and decimals. Students write simple expressions, record calculations with numbers, and represent or round numbers using place value concepts.
 * 3) __**Construct viable arguments and critique the reasoning of others**__ - Fourth graders may use concrete objects to construct arguments. They explain their thinking and make connections between models and equations. Grade 4 students refine their mathematical communication skills by explaining their thinking and responding to others' thinking.
 * 4) **Model with mathematics** - Students experiment with representing problems in multiple ways and are provided many opportunities to connect representations including numbers, mathematical language, pictures, objects, equations, etc. Fourth graders should evaluate their results in the context of the situation and reflect on whether the results make sense.
 * 5) **__Use appropriate tools strategically__** - Fourth graders consider available tools (including estimation) when solving mathematical problems, and decide when certain tools might be helpful. For example, they may use graph paper or a number line to represent and compare decimals and protractors to measure angles. They use other measurement tools to understand the relative size of units within a system.
 * 6) **__Attend to precision__** - As fourth grade students develop communication skills, they attempt to use math vocabulary in discussions with others and in their own reasoning. They are careful about specifying units of measure and state the meaning of symbols they choose (e.g., label units on a line plot).
 * 7) __**Look for and make use of structure**__ - Fourth graders look closely to discover a pattern or structure. For example, they use tree diagrams or arrays to represent the multiplication principle of counting when solving multiplication problems.
 * 8) **Look for and express regularity in repeated reasoning** - In grade four, students notice repetitive actions in computing and make generalizations. They use models to examine calculations, explain them, understand how algorithms work, and generate their own algorithms. For example, they use visual fraction models to write equivalent fractions.

Thinking Blocks - Fractions []

Thinking Blocks - Multiplication/Division []