Third Grade Mathematics Curriculum Objectives

2011-2012

Number Sense and Place Value (M3:1, M3:3, M3:7) Student understands different ways of representing numbers and understands relationships among numbers.

1. Student gives five “other names for” numbers from 0 to 1,000.
2. Student uses expanded notation with numbers from 0 to 1,000.
3. Student understands the meaning of numerator and denominator.
4. Student identifies fractional parts of a region or set (1/2, 1/3, 1/4, and 1/8).
5. Student orders and compares whole numbers from 0 to 1,000.
6. Student uses dollar and cents notation up to $10.00.

Operations and Computation (M3:3, M3:4, M3:7, M3:8) Student understands concepts of mathematical operations and how they relate to one another. Student computes accurately and fluently and makes reasonable estimates.

1. Student understands the meaning of “fact families.”
2. Student knows whole number addition facts to 20.
3. Student knows whole number subtraction facts to 20.
4. Student uses partial sum addition to solve 3-digit problems including problems with decimals.
5. Student uses trade first subtraction to solve 3-digit problems.
6. Student knows multiplication facts 0, 1, 2, 5, 10.
7. Student uses “Ball Park” estimates appropriately.
8. Student applies the commutative and associative properties to solve problems and to simplify computations.

Geometry and Measurement (M3:9, M3:11, M3:14, M3:16, M3:18) Student uses properties of angles or sides to identify, describe, or distinguish among two-and three dimensional shapes. Student applies transformations (flips, slides, turns) to demonstrate conceptual understanding of congruency.

1. Student identifies polygons using properties of angles and sides.
2. Student identifies three-dimensional shapes.
3. Student identifies congruent shapes and polygons using flips, slides, and turns.
4. Student identifies and designs symmetrical shapes.
5. Student illustrates line symmetry in two-dimensional shapes.
6. Student finds the perimeter of polygons.
7. Student finds the area of rectangles.
8. Student identifies and uses units of measure (inch, foot, yard, and centimeter).
9. Student reads the Fahrenheit thermometer to the nearest degree.
10. Student solves problems using the coordinate grid.
11. Tells time to five-minute intervals.

Functions and Algebra Concepts (M3;19, M3:20, M3:22) Student understands patterns and can identify the rule that generates the pattern. Student demonstrates conceptual understanding of equality by finding the value that will make an open sentence true.

1. Student identifies and extends patterns.
2. Student identifies the rule that generates a pattern.
3. Student solves open addition sentences (i.e. 5 + ___ = 13).
4. Student solves open subtraction sentences (i.e. 21 - ___ = 16).
5. Student solves open multiplication sentences (i.e. ___ x 5 = 35).

Data, Statistics, and Probability Concepts (M3:23, M3:24, M3:25, M3;27, M3:28) Student interprets a given representation to answer questions, to analyze data, or to make predictions. Student collects, organizes, and displays appropriate data to answer questions. Student uses the data to determine the likelihood of an event.

1. Student interprets a given representation (line plots, tally charts, tables, or bar graphs) to answer questions and to make predictions.
2. Student analyzes patterns, trends, or distributions in data by determining or using “most frequent,” “least frequent,” “largest,” “smallest.”
3. Student organizes and displays data to answer questions.
4. Student uses a probability event to determine the likelihood of an event.
5. Student collects appropriate data to draw conclusions.

Mathematical Problem Solving (M:30) Student solves grade appropriate problems using a variety of strategies and approaches, extends and generalizes the results, and effectively communicates solutions to problems.
“Problem solving is not a distinct topic, but a process that should permeate the entire [math] program.” NCTM

1. Student solves grade appropriate problems.
2. Student determines what the problem is asking.
3. Student creates and uses a variety of strategies and approaches.
4. Student extends concepts and generalizes the results.
5. Student makes sensible reasonable estimates.