Mathematics, Grade 6

Unit 1: Number

Place value beyond a million and below a thousandth, factors and multiples, ratio and percent, integers, decimal multiplication and division, and order of operations.

• Place value greater than one million
• Place value less than one thousandth
• Large numbers with technology

• Factors and multiples
• Prime and composite numbers
• Problems involving multiples
• Improper fractions and mixed numbers

• Understanding ratio
• Understanding percent
• Understanding integers

• Multiplying decimals
• Dividing decimals
• Order of operations

Unit 2: Patterns and Relations

Tables of values, patterns shown with graphs and tables, equations with letter variables, and preservation of equality.

• Relationships in tables of values
• Patterns with graphs and tables
• Equations with letter variables
• Preservation of equality

Unit 3: Shape and Space

Angles and interior-angle sums, perimeter/area/volume formulas, triangles and polygons, transformations, and plotting in the Cartesian plane.

• Identifying and classifying angles
• Estimating angles with reference angles
• Measuring and drawing angles

• Angle sum of a triangle
• Angle sum of a quadrilateral
• Perimeter of polygons
• Area of rectangles
• Volume of right rectangular prisms

• Constructing triangles
• Comparing triangles
• Sides and angles of polygons
• Combining transformations on one shape
• Successive transformations to create a design

• Plotting points in the first quadrant
• Transforming a shape on the Cartesian plane

Unit 4: Statistics and Probability

Line graphs, methods of collecting data, graphing and analyzing data, and experimental versus theoretical probability.

• Line graphs
• Collecting data by questionnaires and experiments
• Collecting data from databases and electronic media
• Graphing and analyzing data

• Listing possible outcomes
• Experimental versus theoretical probability
• Determining theoretical probability
• Determining experimental probability and comparing