Mathematics
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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 – 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.
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.
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.