Mathematics, Grade 6

Unit 1: Number

Place value past a million and below a thousandth, whole-number and decimal operations, factors and multiples, fractions, ratio, percent, and integers.

• Place value for numbers greater than one million
• Place value for numbers less than one-thousandth
• Solving problems with whole numbers and decimals

• Determining multiples and factors under 100
• Prime and composite numbers
• Solving problems with factors and multiples
• Improper fractions and mixed numbers

• Representing ratios
• Part-part, part-whole, and equivalent ratios
• Representing percent as parts of 100
• Solving percent problems with benchmarks
• Representing and ordering integers
• Comparing integers with symbols

• Multiplying decimals with estimation
• Dividing decimals with estimation
• Order of operations with whole numbers

Unit 2: Patterns and Relations

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

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

Unit 3: Measurement

Angles and their measure, interior angle sums of triangles and quadrilaterals, and formulas for perimeter, area, and volume.

• Classifying and estimating angles
• Measuring and drawing angles with a protractor
• Interior angle sums of triangles and quadrilaterals

• Perimeter of polygons
• Area of rectangles
• Volume of right rectangular prisms

Unit 4: Geometry

Constructing and comparing triangles, combinations of transformations, tessellations, and plotting and transforming points in the first quadrant of a Cartesian plane.

• Constructing and comparing triangles
• Combining transformations on a shape
• Designs and tessellations

• Plotting points in the first quadrant
• Transforming a shape on the grid

Unit 5: Statistics and Probability

Creating and interpreting line graphs, choosing data-collection methods, and understanding theoretical and experimental probability.

• Creating and interpreting line graphs
• Choosing data-collection methods
• Listing outcomes of a probability experiment
• Theoretical and experimental probability
• Comparing experimental results with theory