Mathematics Standards

Third Grade

B= Beginning D= Developing S= Secure

Problem Solving

Solves problems that arise in math and in other content areas:

• Builds new mathematical knowledge through problem solving
• Makes, investigates, and applies a variety of strategies to solve problems
• Monitors and reflects on solutions
• Develops and evaluates inferences and predictions that are based on data

Communicates mathematical thinking coherently and clearly:

• Uses mathematical language to express ideas
• Shows connections among mathematical ideas
• Creates and uses representations to organize, record, and communicate mathematical ideas

Number and Operations

Understands numbers, ways of representing numbers, relationships among numbers, and number systems:

• Applies place-value concepts in 4 digit numbers (D/S)
• Finds equivalent names for numbers (D/S)
• Reads, writes and compares whole numbers up to 5 digits (S)
• Identifies place-value in whole numbers up to 5 digits (S)
• Reads, writes and compares 6 and 7 digit whole numbers (B)
• Reads and writes 1 and 2 digit decimals (D)
• Identifies place value in decimals (D)
• Reads and writes 3 digit decimals (B)
• Counts by 10s and 100s.  (S)
• Compares and orders fractions (B)
• Identifies fractions on a number line (B/D)
• Identifies fractional parts of a set (D)
• Identifies fractional parts of a region (D)

Understands meanings of operations and how they relate to one another:

• Uses basic facts to solve fact extensions (D/S)

Computes fluently and makes reasonable estimates:

• Estimates answers to multi-digit addition and subtraction problems.  (D)
• Adds multi-digit numbers  (S)
• Subtracts multi-digit numbers  (S)
• Completes fact and number families (S)
• Completes multiplication/division fact families (D/S)
• Solves multiplication facts from the first set of Fact Triangles (S)
• Solves extended multiplication facts to tens times tens (D)
• Solves extended multiplication facts to hundreds times hundreds (D)
• Multiplies multi-digit numbers by one or two digit numbers (B/D)
• Makes ballpark estimates for sums and products (B/D)
• Finds factors of a number (B/D)
• Converts between mixed numbers and fractions (B)
• Knows basic addition and subtraction facts. (S)
• Knows multiplication facts having 3 or 4 as one factor and 2 through 7 as the other factor (D)
• Knows multiplication facts having 2, 5 or 10 as a factor (D)
• Knows multiplication facts having 0 or 1 as a factor (S)
• Knows multiplication facts from the first set of Fact Triangles (S)
• Knows multiplication facts from the second set of Fact Triangles (D)
• Knows multiplication facts (D)
• Interprets remainders in division problems (B/D)
• Recognizes and knows square products (D)
• Solves addition and subtraction multi-digit number stories(S)
• Solves number stories involving equal groups by using multiplication (D)
• Solves number stories involving equal sharing and equal grouping (D)
• Solves number stories involving equal shares and equal groups (D)
• Solves number stories involving positive and negative numbers (B)
• Solves fraction number stories (B/D)

Algebra

Understands patterns, relations and functions:

• Identifies and uses number patterns to solve problems. (D/S)
• Completes “What’s my Rule?” tables (D)

Represents and analyzes mathematical situations and structures using algebraic symbols:

• Understand function and placement of parentheses in number sentences (B/D)
• Make a frequency table (D)

Uses mathematical models to represent and understand quantitative relationships:

• Finds equivalent fractions (B/D)

Geometry

Analyzes characteristics and properties of two-and three-dimensional geometric shapes and develops mathematical arguments about geometrical relationships:

• Identifies and names 2-D and 3-D shapes  (S)
• Identifies, draws, and names line segments, lines and rays (D)
• Identifies right angles (S)

Specifies locations and describes spatial relationships using coordinate geometry and other representational systems:

• Identifies symmetric figures and draws lines of symmetry (S)
• Draws parallel and intersecting line segments, lines and rays (D)

Applies transformations and uses symmetry to analyze mathematical situations:

• Draws angles as records of rotations (D) 

Measurement

Understands measurable attributes of objects and the units, systems, and processes of measurement:

• Knows units of measure for length, weight, and capacity (D)
• Tells and shows times to the nearest minute (D/S)

Applies appropriate techniques, tools, and formulas to determine measurements:

• Counts combinations of bills and coins and writes the totals in dollars and cents notation (D/S)
• Makes change  (D)

• Finds the perimeter of a polygon (D)
• Finds the area of a rectangular region divided into square units (D)
• Measures line segments to the nearest ¼ inch (S)
• Measures line segments to the nearest centimeter (S)
• Measures in centimeters and inches (D)
• Finds the volume of a rectangular prism (B/D)

Data Analysis and Probability

Formulates questions that can be addressed with data and collects, organizes, and displays relevant data to answer them:

• Collects and organizes data for use in predicting outcomes (B/D)
• Makes a bar graph (D/S)

Selects and uses appropriate statistical methods to analyze data:

• Finds the median of a data set (D)
• Finds the mean of a data set (B/D)
• Understands area model of probability and solves simple spinner problems (B)

Understands and applies basic concepts of probability:

• Understands the language of probability (B)
• Uses random draws to predict outcomes (B/D)
• Uses fractions to record probabilities of events (B/D)