GRADE 5 MATH CURRICULUM

NUMBER AND OPERATIONS

Meaning, notation, place value, and comparisons

Students Will:

Understand percentages as parts out of 100, use % notation, and express a part of a whole as a percentage.

Understand ones, tenths, and hundredths and the relationship of each place to the place to its right.

Express fractions as equivalent fractions with a common denominator.

Understand a fraction as a statement of division.

Number relationships and meaning of operations

Students Will:

Understand the meaning of dividing whole numbers

Find the prime factorization of prime numbers between 1 and 50

Write mathematical statements involving division.

Solve applied problems involving multiplication and division of whole numbers.

Express fractions as decimals and percentages.

Solve for the unknown in equations.

Multiply one and two digit whole numbers by decimals.

Fluency with operations and estimation

Students Will:

Divide numbers by 10s, 100s, and 100s using mental math.

Multiply a multi-digit number by a 2 digit number

Divide fluently up to a four digit number by a two digit number.

Write mathematical statements describing situations involving addition and subtraction.

Add and subtract fractions with like and unlike denominators.

Find the product of two fractions.

Divide a fraction and a whole number.

Solve applied problems involving fractions and decimals including interpreting remainders.

ALGEBRA

Patterns, relations, functions, and change

Students Will:

Representation

Students Will:

Formulas, expressions, equations, and inequalities

Students Will:

MEASUREMENT

Understand systems of measurement

Students Will:

Compare the relative size of one cubic inch to one cubic foot, and one cubic centimeter to one cubic meter.

Recognize equivalences of 1 liter, 1,000 ml, and 1000 cubic cm.

Know unites of volume and use their abbreviations.

Convert ;units of length, weight, area, volume, and time using easy manipulated numbers.

Techniques and formulas for measurement

Students Will:

Understand and know how to use the area formula A = ½ bh.

Understand and know how to use the area formula for a parallelogram A= bh.

Build solids with unit cubes and state their volumes.

Use filling and counting or measuring to find the volume of a cube and rectangular prism.

Problem solving involving measurement

Students Will:

Represent relationships between areas of rectangles, triangles, and parallelograms.

Solve problems about the volumes of rectangular prisms.

GEOMETRY

Geometric shape, properties, and mathematical arguments

Students Will:

Location and spatial relationships

Students Will:

Build solids with unit cubes and state their volume.

Spatial reasoning and geometric modeling

Transformation and symmetry

Students Will:

Associate an angle with a certain amount of turning, knowing that angles are measured in degrees.

DATA AND PROBABILITY

Data representation

Students Will:

Construct line graphs from tables of data, include axis labels and scale.

Data interpretation and analysis

Probability

Students Will: