Fifth Grade Mathematics Curriculum Objectives

2011-2012

Number Sense and Place Value (M5:1, M5:2)  Student demonstrates conceptual understanding of whole numbers, positive fractional numbers, and benchmark percents.  Student demonstrates understanding of the relative magnitude of rational numbers, fractional numbers, and decimals.

1. Student reads, writes, compares, identifies numbers to 1 billion.
2. Student demonstrates understanding of fractional numbers.
3. Student demonstrates understanding of powers of ten.
4. Student demonstrate understanding of decimals to thousandths.
5. Student demonstrates understanding of percents.
6. Student understands the relative magnitude of numbers.
7. Student rounds mixed numbers and decimals to the nearest tenth.

Operations and Computation (M5:3, M5:4, M5:6)  Student understands the meaning of operations and how they relate to one another.  Student computes accurately and fluently and makes reasonable estimates.

1. Student demonstrates understanding of mathematical operations.
2. Student demonstrates understanding of division with/without remainders.
3. Student solves problems involving multiple operations.
4. Student solves problems involving fractions with like denominators and decimals.
5. Student applies the conventions of order of operations.
6. Student knows multiplication facts through 12.
7. Student knows division facts through 12.
8. Student solves 3-digit multiplication problems.
9. Student solves 2-digit division problems.
10. Student estimates the reasonableness of solutions.

Geometry and Measurement (M5:9, M5:11, M5:12, M5:14, M5:16, M5:18)  Student uses properties or attributes of angles to identify, classify, describe, or distinguish among, different types of triangles or quadrilaterals.  Student uses properties or attributes to identify, compare, or describe three-dimensional shapes.  Student understands similarity and congruency.  Student understands the concepts of perimeter, area, and volume.

1. Student defines geometric terms: angle, vertex, face, polygon, obtuse, acute, right angle, parallelogram, rhombus, trapezoid, edge.
2. Student identifies quadrilaterals using properties of angles.
3. Student identifies measures, and draws angles within five degrees.
4. Student identifies, compares, describes two- dimensional shapes.
5. Student identifies, compares, or describes three-dimensional shapes.
6. Student demonstrates understanding of congruency.
7. Student demonstrates understanding of similarity.
8. Student finds the perimeter of polygons.
9. Student finds the area of rectangles or right triangles.
10. Student finds the area of polygons.
11. Student finds the volume of rectangular prisms.
12. Student measures and uses units of linear measures appropriately.
13. Student determines elapsed and accrued time to the nearest minute.

Functions and Algebra Concepts (M5:19, M5:20, M5:21, M5:22)  Student identifies and extends a variety of patterns. Student demonstrates understanding of linear relationships as a constant rate of change, understanding of algebraic expressions, and understanding of the concept of equality.

1. Student describes, analyzes, and extends linear and nonlinear patterns.
2. Student writes a rule in words or symbols for a linear relationship.
3. Student understands linear relationships as a constant rate of change.
4. Student uses letters as variables in linear algebraic expressions.
5. Student solves one-step linear equations ax=c, x + b=c, x-b=c, x/a=c.
6. Student solves problems using the coordinate grid system.

Data, Statistics, and Probability Concepts (M5:23, M5:24, M5: 25, M5: 26, M5:27, M5:28, M5:28)  Student collects, organizes, and displays relevant data to make predictions, ask new questions, or make connections. Student selects and uses appropriate statistical methods to analyze data and solve problems. Student determines the probability of an event.  Student solves problems involving combinations and permutations.

1. Student interprets a given data representation to answer questions.
2. Student uses measures of central tendency to solve problems.
3. Student identifies the best display for a given set of data.
4. Student collects, organizes, and displays appropriate data to answer questions, make inferences, and predict.
5. Student solves problems involving combinations.
6. Student solves problems involving simple permutations.
7. Student determines the experimental probability of an event.
8. Student uses probability to describes the chance of an event.

Mathematical Problem Solving  (M5:30)  Student solves grade appropriate problems using a variety of strategies and approaches, extends and generalizes 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 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.