Students engage in problem solving, communicating, reasoning, and connecting to:
Number Sense and Operations
- compare, order and read whole numbers to 100,000.
- select, use and explain various models of multiplication and division of whole numbers.
- know and use multiplication facts through 12.
- add, subtract, and multiply accurately and efficiently.
- divide 3-digit whole numbers with single digit divisor (with and without remainders).
- select, use and explain the commutative, associative, and identity properties.
- demonstrate an understanding of common fractions (1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, 1/12 and 1 1/2) as parts of units, as equivalent forms, as decimals.
- round whole numbers through 100,000 to the nearest 10, 100, 1000, 10,000 and 100,000.
Patterns, Relations, and Algebra
- create, describe, extend, and explain symbolic and numeric patterns.
- use symbols and letter variables to represent unknowns or quantities.
- determine values of variables in simple equations.
- determine how change in one variable relates to change in a second variable.
- compare and classify 2 and 3-dimensional geometric shapes by attributes.
- describe, model, draw, compare, and classify 2 and 3-dimensional shapes.
- recognize similar figures. Identify angles as acute, right or obtuse.
- describe and draw intersecting, parallel and perpendicular lines.
- use ordered pairs of numbers and/or letters; graph, locate, identify points, and describe paths (first quadrant).
- describe and use transformations, specifically reflections, rotations and translations for determining congruence.
- demonstrate an understanding of such attributes as length, area, weight, and volume and select the appropriate type of unit for measuring each.
- carry out simple conversions within a measurement system.
- identify time to the minute on analog and digital clocks using a.m. and p.m. and compute lapsed time using a clock.
- estimate and find area and perimeter of shapes.
- identify and use appropriate metric and English unit and tools to estimate, measure and solve problems involving length, area, volume, weight, time, angle size and temperature.
Data Analysis, Statistics, and Probability
- collect and organize data using observations, measurement, surveys or experiments and identify appropriate ways to display the data.
- match a representation of a data set such as lists, tables, or graphs with actual data.
- construct, draw conclusions and make predictions from various representations of data.
- give the probability of possible outcomes for a simple situation.
- list and count the number of possible combinations of objects from 3 sets.
- classify outcomes as certain, likely, unlikely, or impossible by designing and conducting experiments using concrete objects.