Grade+5+Math

This page provides families an overview of what to expect in Fifth Grade Mathematics. Information about the Massachusetts mathematics content and practice standards and enVisionMATH Common Core 2012 program resources are included. Note that Massachusetts has added one standard to the proposed Common Core standards in fifth grade. It is denoted by an asterisk (*) in the added domain "The Number System". 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 Fifth Grade Mathematics How Learning is Assessed Standards of Mathematical Practice iTunes Apps

 =How Learning is Assessed=
 * What to Expect in Fifth Grade Mathematics **
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 * **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
 * Measurement and Data
 * Geometry ||

** Operations and Algebraic Thinking **
(e.g., miles per hour) ||  ||
 * **Assessment Indicator** || **Term(s)** ||
 * Writes, interprets, and evaluates numerical expressions using all four operations and parentheses ||  ||
 * Uses patterns and rules to formulate a graph that shows the relationship between related terms

** Number and Operations (Base Ten) **
for multi-digit whole numbers and decimals to the thousandths ||  || of the digit to its left ||  ||
 * **Assessment Indicator** || **Term(s)** ||
 * Demonstrates an understanding of the relationship between the power of ten and the place value system
 * Understands that the value of a digit is ten times greater than the value to its right and 1/10 of the value
 * Reads, writes, compares, and rounds decimals to the thousandths ||  ||
 * Adds, subtracts, multiplies, and divides multi-digit whole number and decimals to the hundredths ||  ||
 * Number and Operations (Fractions) **
 * **Assessment Indicator** || **Term(s)** ||
 * Solves real world problems with fractions ||  ||
 * Uses equivalent fractions as a strategy to add or subtract fractions ||  ||
 * Applies understanding of multiplication and division when multiplying and dividing fractions ||  ||

** The Number System **
elevation above/below sea level, or credit/debit ||  ||
 * **Assessment Indicator** || **Term(s)** ||
 * *Use positive and negative integers to describe quantities such as temperature above/below zero,

** Measurement and Data **

 * **Assessment Indicator** || **Term(s)** ||
 * Uses conversion rules to solve multi-step real-world problems ||  ||
 * Is able to represent and interpret data using a line plot ||  ||
 * Demonstrates an understanding of volume, and uses formulas to find volumes of rectangular prisms ||  ||

** Geometry **
 **Standards of Mathematical Practice**  =iTunes Apps= Math Tappers - []
 * **Assessment Indicator** || **Term(s)** ||
 * Graphs points on the coordinate plane to solve real-world and mathematical problems ||  ||
 * Classifies two-dimensional figures into categories based on their properties ||  ||
 * 1) **__Make sense of problems and persevere in solving them__** - In fifth grade, students solve problems by applying their understanding of operations with whole numbers, decimals, and fractions. They seek the meaning of a problem and look for efficient ways to represent and solve it.They may check their thinking by asking, "What is the most efficient way to solve the problem?", "Does this make sense?", and "Can I solve the problem a different way?"
 * 2) __**Reason abstractly and quantitatively**__ - Fifth 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**__ - Fifth graders may use concrete objects to construct arguments. They explain calculations based upon models, properties of operations, and rules that generate patterns. Grade 5 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. Fifth graders should evaluate their results in the context of the situation and reflect on whether the results make sense. They also evaluate which models are most useful and efficient to solve problems.
 * 5) **__Use appropriate tools strategically__** - Fifth graders consider available tools (including estimation) when solving mathematical problems, and decide when certain tools might be helpful. For example, they may use unit cubes to fill a rectangular prism and then use a ruler to measure the dimensions.
 * 6) **__Attend to precision__** - Fifth grade students continue to refine their communication skills by using clear and precise language in discussions with others and in their own reasoning. They use appropriate terminology when referring to expressions, fractions, geometric figures, and coordinate grids. Grade 5 mathematicians are careful about specifying units of measure.
 * 7) __**Look for and make use of structure**__ - In fifth grade, students look closely to discover a pattern or structure. For example, they use properties of operations as strategies to add, subtract, multiply, and divide with whole numbers, fractions, and decimals. They examine numerical patterns and relate them to a rule or graphical representation.
 * 8) **Look for and express regularity in repeated reasoning** - In grade five, students use repeated reasoning to understand algorithms and make generalizations about patterns. They connect place value and their prior work with operations to understand algorithms to fluently divide multi-digit numbers and perform all operations with decimals. Fifth graders explore operations with fractions with visual models and begin to formulate generalizations.

Thinking Blocks - Fractions []

Thinking Blocks - Multiplication/Division [] = =