Mathematics Standards

First 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  (B/D)
• Makes, investigates, and applies a variety of strategies to solve problems  (B/D)
• Monitors and reflects on solutions  (B/D)
• Develops and evaluates inferences and predictions that are based on data  (B/D)

Communicates mathematical thinking coherently and clearly:

• Uses mathematical language to express ideas  (B/D)
• Shows connections among mathematical ideas  (B)
• Creates and uses representations to organize, record, and communicate mathematical ideas  (B/D) 

Number and Operations

Understands numbers, ways to show numbers, relationship among numbers:

• Reads and writes numbers to 1 to 100 (S)
• Counts by 1’s,2’s,5’s,10’s to 100 (S)
• Reads and writes numbers 100 to 1000 ( B/D)
• Counts by 100’s (D)
• Writes and counts tallies (D)
• Orders and compares numbers to 22 (D/S)
• Counts 20 or more objects (S)
• Identifies numbers odd or even (D)
• Compares numbers using < & > (D)
• Compares fractions less than 1 (B)
• Identifies fractional parts of regions and sets with a focus on unit fractions (B/D)

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

• Understands place value for tens and ones (D/S)
• Compare pairs of numbers less than 16 (D/S)
• Understands concept of addition and subtraction (D/S)

Computes fluently and makes reasonable estimates:

• Knows addition facts (D/S)
• Knows +1, +0, doubles, and sums of tens addition facts (D)
• Solves addition and subtraction problems by skip counting on the number line and the number grid (D)
• Solves addition and subtraction number stories (D/S)
• Solves two-digit addition and subtraction problems (B)
• Finds sums and missing addends (D)
• Finds complements of ten (D)

Algebra

Understands patterns, relations, and functions:

• Completes frames-and-arrows diagrams (B/D)
• Identify and use patterns on a number grid (D/S)
• Tell how and why to complete a pattern (D/S)
• Tell how and why to classify objects (D/S)

Represents and analyzes mathematical situations and structures using algebraic symbols:

• Finds patterns in addition and subtraction pattern (B/D/S)

Uses mathematical models to represent and understand quantitative relationships:

• Uses objects, pictures, and symbols to solve addition and subtraction number stories (D)
• Finds missing numbers and/or the missing rule in “What’s my Rule?” problems (B/D)
• Finds many names for a number (D)
• Finds equivalent fractions for given fractions (B)
• Compares numbers using  <,> symbols (B/D)

Geometry

Analyzes characteristics and properties of two-and three-dimensional geometric shapes:

• Identifies two-and three-dimensional shapes and knows their characteristics (B)
• Identifies polygons and knows their characteristics (B/D)

Applies transformations and uses symmetry to analyze mathematical situations:

• Identifies symmetrical figures (B)

Uses visualization, spatial reasoning, and geometric modeling to solve problems:

• Sorts and identifies objects by attributes (D)

Measurement

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

• Tells time to the nearest hour and half-hour (D/S)
• Understands digital notation for time (B)
• Knows the values of pennies, nickels, dimes, and quarters (B/D/S)
• Understands linear, weight and volume measures  (D)

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

• Calculates the values of coin combinations: P, N, D, and Q  (B/D/S)
• Makes change for amounts less than $1 (B/D)
• Uses standard units for measuring lengths, weight, volume, time, and temperature   (B/D)

Data Analysis and Probability

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

• Conducts a survey (B)
• Discusses events related to students’ experiences as likely or unlikely (B)

Selects and uses appropriate statistical methods to analyze data:

• Makes and records data in a tally chart (D)
• Makes and records data in a bar graph (B/D)
• Collects data by counting (B/D)
• Finds the range, mode, and median (B)