Mathematics

Number & Operations:

• Demonstrates understanding of place value and the magnitude for numbers up to 100.
• Composes and decomposes numbers in multiple ways up to 1000.
• Skip counts by 2’s, 5’s, and 10’s up to 100 and up to 1000.
• Understands the relationship between skip counting and grouping.
• Finds factors of numbers using factor pairs.
• Demonstrates an understanding of the characteristics of odd and even numbers and how they behave when combined.
• Understands common fractions (1/2, 1/3, and 1/4) as parts of wholes and parts of groups.
• Knows common fraction equivalents, especially relationships among halves, thirds, and sixths.
• Understands that the relationships that occur between 0 and 1 also occur between any consecutive whole numbers.
• When solving problems, selects and uses appropriate operations to solve addition, subtraction, mulitplication, and division problems.
• Understands the effect of an operation on whole numbers.
• Maintains automaticity with addition and subtraction facts to 20.
• Demonstrates automaticity with multiplication facts (0-5) and the realted division facts and fluency with fats 6-10.
• Uses efficient, accurate, and flexible mental and written strategies based on numerical reasoning to find: sums and differences of multi-digit numbers (up to 3-digit number); products of 1-and 2-digit numbers and 1-digit numbers by 10 and multiples of 10; quotients (dividing whole numbers up to 2-digits by 1-digit divisors).
• Develops, records, explains, and compares strategies for estimating and computing problems in more than one way.

Geometry:

• Invesitages and predicts the results of putting together and taking apart 2-D shapes.
• Recognizes the components of polygons (sides and vertices) and how the components of polygons are put together to form whole shapes.
• Identifies and describes the results of sliding, flipping and turning 2-D shapes.
• Identifies, describes, and draws intersecting, parallel and perpendicular shapes.
• Recongnizes the components of polyhedra (faces, verices, edges) and how the components of polyhedra are put together to form whole shapes.
• Identifies and builds 3-D objects from 2-D objects.

Measurement:

• Compares the effects on measurement of using units of different sizes; understands that smaller unit will result in a larger number of units used.
• Demonstrates understanding of the rationale for a standard unit of measure.
• Tells time to the minute.
• Counts mixed collections of pennies, nickles, dimes, and quarters to at least $1.00 and represents with the appropriate notation.
• Estimates, measures, and compares lenght (to the nearest inch, half inch, centimeter, quarter inch and half centimeter).
• Finds the area of shapes by identifying smaller units of area, such as square units and half units.
• Measures the perimeter of geometric figures.

Data & Probability:

• Collects and organizes data using observations, surveys, and experiments.
• Represents data using tables, bar graphs, line graphs, and line plots.
• Chooses and constructs representations that are appropriate for a data set.
• Describes the shape of the data and analyzes it for patterns.
• Describes events with terms such as likely, unlikely, more likely, and less likely.
• Predicts the probability of outcomes of simple experiments, tests the predictions and records results.

Algebra:

• Recognizes, describes, and extends geometric and numeric patterns.
• Identifies the core/unit of repeating and growing patterns.
• Explains and applies a rule for a pattern.
• Represents the idea of a variable as an unknown quantity using a letter or a symbol.
• Expresses mathematical relationships using equations.

Communication & Representation:

• Creates and uses representations to organize, record, and communicate mathematical ideas.
• Selects and applies appropriate mathematical representations to slove problems and demonstrate solution methods.
• Presents mathematical ideas and solutions in written, oral and visual forms.
• Communicates mathematically thinking coherently to others.
• Uses the language of mathematics to precisely express mathematical ideas and solution methods.
• Analyzes and evaluates the mathematical thinking and strategies of others.

Problem Solving:

• Selects, develops, adapts and applies strategies to solve a wide variety of problems.
• Transfers and generalizes previous experience to new problem solving situations.
• Builds new mathematical knowledge through problem solving.
• Demonstrates persistence in problem solving.
• Verifies results.