Fourth Grade Mathematics Curriculum Objectives

2011-2012

Number Sense and Place Value (M4:1, M4:2) Student compares and orders positive and negative integers, positive fractions, and numbers with decimals to the hundredths place. Student understands the connection between fractions, decimals, and percentages. Student accurately rounds numbers.

1. Student reads, writes, compares (>, <, and =), identifies numbers to 100,000,000.
2. Student recognizes and uses the fractions 1/2, 1/3, 1/4, 1/6, 1/8, 1/10.
3. Student demonstrates understanding, through ordering and comparing, of decimals to hundredths place, including money notation.
4. Student compares and orders positive and negative integers.
5. Student orders, compares, and identifies positive fractional numbers.
6. Student estimates and evaluates the reasonableness of solutions.
7. Student connects fractions, decimals, and percentages.
8. Student chooses appropriate increments for rounding.

Operations and Computation (M4:3, M4:4, M4:6) Student understands the meaning of mathematical operations and how they relate to one another. Student computes fluently and accurately and makes reasonable estimates.

1. Student demonstrates the relationship between repeated subtraction and division.
2. Student describes the inverse relationship between multiplication and division.
3. Student adds and subtracts fractional numbers with like denominators.
4. Student solves problems involving multiple operations on numbers.
5. Student adds and subtracts decimals to the hundredths place.
6. Student applies the conventions of order of operations.
7. Student memorizes multiplication facts through 12.
8. Student memorizes division facts through 12.

Geometry and Measurement (M4:9, M4:11, M4:12, M4:13, M4:14, M4:15, M4:16, M4:17) Student uses properties or attributes of angles to identify, describe, or distinguish among geometric shapes. Student uses properties or attributes of shapes (number of bases and number of lateral faces) to identify, compare, and describe three-dimensional shapes and demonstrate understanding of similarity and congruency. Student solves problems involving perimeter and area.

1. Student identifies and describes polygons.
2. Student classifies angles relative to 90 degrees.
3. Student recognizes parallel, perpendicular, and intersecting lines.
4. Student identifies/describes components of three-dimensional shapes.
5. Student identifies congruency by matching congruent figures.
6. Student demonstrates understanding of similarity.
7. Student finds the perimeter of polygons on grids.
8. Student finds the area of polygons or irregular shapes on grids.
9. Student measures and uses units of measure appropriately (length, volume).
10. Student determines elapsed and accrued time to the 1/4 hour.
11. Student tells time to the nearest minute.
12. Student solves problems using the coordinate grid system.

Functions and Algebra Concepts (M4:19, M4:20, M4:21, M4:22) Student uses a variety of patterns to generate a rule to find the next case. Student demonstrates conceptual understanding of linear relationships as a constant rate of change, understanding of algebraic expressions, and understanding of the concept of equality.

1. Student describes geometric and numerical number patterns.
2. Student uses numerical patterns to derive rules to solve problems.
3. Student uses rate tables to solve rate problems.
4. Student shows understanding of algebraic expressions.
5. Student shows understanding of equality using parenthesis.
6. Student shows understanding of one-step linear equations.

Data, Statistics, and Probability Concepts (M4:23, M4:24, M4:25, M4:26, M4:27, M4:28, M4:29) Student interprets a given representation to solve problems and analyze data using measures of central tendency. Student organizes and displays data to formulate or justify conclusions.

1. Student interprets a given representation.
2. Student uses measures of central tendency to analyze data.
3. Student organizes and displays given data.
4. Student solves problems (combinations and simple permutations).
5. Student determines the theoretical probability of an event.
6. Student collects and displays appropriate data.
7. Student uses experimental probability.

Mathematical Problem Solving (M4:30) Student solve grade appropriate problems using a variety of strategies and approaches, extend and generalize results, and effectively communicate 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 level problems.
2. Student determines what the problem is asking.
3. Student creates and uses a variety of strategies and approaches.
4. Student makes connections between concepts to solve problems.
5. Student extends concepts and generalizes the results.
6. Student makes sensible, reasonable estimates.