Framingham Public Schools

Fifth Grade Curriculum Outcomes

Language Arts | Math | Science | Social Studies | Art | Music | Physical Education

Math

Students engage in problem solving, communicating, reasoning, and connecting to:

Number Sense and Operations

Students will...

• demonstrate an understanding of place value to billions and thousandths in various forms using expanded notation and exponential notation.
• accurately and efficiently add, subtract, multiply and divide (with double-digit divisors) whole numbers, positive decimals, positive fractions.
• apply the Order of Operations for addition, subtraction, multiplication and division with grouping symbols.
• apply number theory concepts – prime, composite, prime factorization, greatest common factor, least common multiple.
• demonstrate an understanding of fractions as a ratio of whole numbers, as part of unit wholes, as parts of collection, equivalent fractions, decimals, and percents.
• find position, compare and order, fractions, mixed numbers and decimals.
• estimate results of computations with whole numbers, positive fractions, decimals, and percents and describe reasonableness of estimates.

Patterns, Relations, and Algebra

Students will...

• analyze and determine the rules for extending symbolic, arithmetic, and geometric patterns and progressions.
• replace variables with given values and evaluate/simplify.
• represent real situations and mathematical relationships with concrete models, tables, graphs, and rules and with symbols (input-output tables).

Geometry

Students will...

• identify polygons based on their properties, including types of interior angles, perpendicular or parallel sides, congruence of sides (squares, rectangles, rhombuses, parallelograms, trapezoids, isosceles, equilateral, and right triangles).
• identify 3-dimensional shapes (cubes, prisms, spheres, cones, and pyramids) based on their properties (edges, faces, etc).
• match 3-dimensional objects to their 2-dimensional representations.
• identify relationships among points, lines, and planes (intersecting, parallel and perpendicular).
• describe and use transformations on 2-dimensional shapes (translations, rotations and reflections) and determine congruence.
• identify types of symmetry, rotational or line.
• graph points and identify coordinates on the Cartesian coordinate plane (first quadrant).

Measurement

Students will...

• apply the concept of area and perimeter to triangles and parallelograms.
• identify, measure, describe, classify, and construct various angles, triangles, and quadrilaterals.
• identify, measure, and describe circles and the relationships of the radius, diameter, and circumference and the area.

Data Analysis, Statistics, and Probability

Students will...

• describe and compare data sets using mean, median, mode, range, maximum and minimum.
• construct and interpret stem-and-leaf plots, line plots, and circle graphs.
• use tree diagrams and other models (lists, tables) to represent possible and actual outcomes.
• predict the probability of outcomes of simple experiments (tossing a coin, rolling a die) and test the predictions.
• use appropriate ratios between 0 and 1 to represent the outcome.