Grade 4 Mathematics
Performance Standards
1.0 Multiplication and Division Patterns
1.1 Find multiplication patterns.
1.2 Use arrays as models for multiplication.
1.3 Recognize prime numbers.
1.4 Recognize that division represents a variety of situations (sharing and
partitioning).
1.5 Determine the interpretation for remainders in division.
1.6 Partition numbers for easy multiplication.
2.0 Geometry
2.1 Complete three-dimensional cube configurations.
2.2 Think about problems related to volume.
2.3 Understand geometric perspective.
2.4 Communicate effectively about three-dimensional objects.
3.0 Number Theory
3.1 Count by factors of 100.
3.2 Relate knowledge of factors to division situations.
3.3 Read, write, and locate in sequence, numbers to
thousands.
3.4 Identify and use important landmarks up to 1000.
3.5 Develop strategies for adding and subtracting numbers in the hundreds.
3.6 Estimate quantities up to 1000.
4.0 Fractions
4.1 Be familiar with relationships among halves, fourths, and eighths, and
among thirds, sixths, and twelfths.
4.2 Use different combinations of fractions to make a whole.
4.3 Work with fractions that have numerators larger than one.
4.4 Compare fractions to the landmarks of 0, ½, 1, and 2.
4.5 Use both numerical reasoning and areas to order fractions.
4.6 Use size of numerator to compare fractions that have the same
denominator and use size of denominators to compare fractions with the
same numerators.
5.0 Data
5.1 Describe the shape of the data, moving from individual features of the
data to describing the overall shape of the
distribution.
5.2 Invent ways to compare two sets of data by describing the shape of the
data and what is typical of the data.
5.3 Make graphs or charts of data.
5.4 Use median to describe a set of data to compare one data set to another.
5.5 Find the median in a set of data arranged in numerical order.
5.6 Find the median in a set of data grouped by frequency.
5.7 Carry out stages of a data analysis investigation.
5.8 Choose and refine a research question.
6.0 Decimals
6.1 Solve problems and interpret decimals as amounts of money.
6.2 Compare and combine decimal numerals .
6.3 See the relationships of decimal parts to the whole.
6.4 Become familiar with common decimal and fraction equivalents.
7.0 Graphs
7.1 Create representations of graphs to show change over time.
7.2 Interpret different kinds of graphs.
7.3 Develop a scale that includes all the data.
7.4 Establish conventions for consistency.
7.5 Examine real situations and events that show change.
7.6 Make and interpret representations that show change.
7.7 Use curves to communicate information.
7.8 Develop an understanding of the difference between continuous and
discrete changes.
7.9 Make, interpret, and compare line graphs.
8.0 Working With Multiplication and Division
8.1 Look for and use multiplication patterns of numbers.
8.2 Identify factors of numbers.
8.3 Solve single digit multiplication problems.
8.4 Use multiplication and division relationships to solve problems.
9.0 Coordinate Plane
9.1 Name and locate points on the coordinate grid.
9.2 Calculate distances on a grid based on paths along grid lines.
9.3 Apply knowledge of coordinates to locate points on a computer screen.
9.4 Describe geometric figures such as rectangles and squares in several ways.
9.5 Create and apply patterns and arithmetic strategies to solve turtle geometry
problems.
9.6 Use mirror and rotational symmetry to design complex patterns.
10.0 Using Fractions
10.1 Find familiar fraction families.
10.2 Collect, record, and analyze non-numerical data and describe date in terms
of fractions.
10.3 Use familiar fractions to estimate complex fractions.