Mathematics

Algebra and Analytical Methods: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

Use algebraic concepts and procedures to represent and solve problems.

Apply properties of powers, perfect squares and square roots.

Geometry and Measurement

Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

Justify which objects in a collection match a given geometric description.

Geometry: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

Demonstrate and apply geometric concepts involving points, lines, planes and space.

Identify and describe how geometric figures are used in practical settings (e.g., construction, art, advertising).

The Number System – Students will:

Apply and extend previous understandings of numbers to the system of rational numbers.

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Worksheet TransformationsGrade 6

Geometry – Students will:

Understand congruence and similarity using physical models, transparencies, or geometry software.

Verify experimentally the properties of rotations, reflections, and translations:

Lines are taken to lines, and line segments are taken to line segments of the same length.

Worksheet Similar PolygonsGrade 8

Geometry – Students will:

Understand congruence and similarity using physical models, transparencies, or geometry software.

Verify experimentally the properties of rotations, reflections, and translations:

Lines are taken to lines, and line segments are taken to line segments of the same length.

Measurement and Data – Students will:

Represent and interpret data.

Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot where the horizontal scale is marked off in appropriate units – whole numbers, halves, or quarters.

Geometry – Students will:

Understand congruence and similarity using physical models, transparencies, or geometry software.

Verify experimentally the properties of rotations, reflections, and translations:

Lines are taken to lines, and line segments are taken to line segments of the same length.

Worksheet Similar PolygonsGrade 8

The Number System – Students will:

Apply and extend previous understandings of numbers to the system of rational numbers.

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Worksheet ReflectionsGrade 6

The Number System – Students will:

Apply and extend previous understandings of numbers to the system of rational numbers.

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Worksheet TransformationsGrade 6

Geometry – Students will:

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Geometry – Students will:

Understand congruence and similarity using physical models, transparencies, or geometry software.

Verify experimentally the properties of rotations, reflections, and translations:

Lines are taken to lines, and line segments are taken to line segments of the same length.

Geometry and Measurement

Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

Justify which objects in a collection match a given geometric description.

Geometry: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

Demonstrate and apply geometric concepts involving points, lines, planes and space.

Identify and describe how geometric figures are used in practical settings (e.g., construction, art, advertising).

Algebra and Analytical Methods: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

Use algebraic concepts and procedures to represent and solve problems.

Apply properties of powers, perfect squares and square roots.

Data Analysis, Probability, and Discrete Mathematics

Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

Formulate and answer questions by interpreting and analyzing displays of data, including double bar graphs, single line graphs, or circle graphs

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Measurement and Data

Represent and interpret data.

Explain the classification of data from real-world problems shown in graphical representations including the use of terms mean and median with a given set of data. (L)

Worksheet Pie Chart PercentsGrade 5

Data Analysis, Probability, and Discrete Mathematics

Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

Formulate and answer questions by interpreting and analyzing displays of data, including double bar graphs, single line graphs, or circle graphs