All Lessons

(A) Recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible

(Y6) Connect volume and capacity and their units of measurement (ACMMG138)

5.MD.3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

5.MD.3.A A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.

5.MD.3.B A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

(B) Determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.

(Y7) Calculate volumes of rectangular prisms (ACMMG160)

5.MD.5.B Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

(A) Describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin

(B) Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane

(Y5) Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113)

(Y6) Introduce the Cartesian coordinate system using all four quadrants (ACMMG143)

(Y7) Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178)

5.G.1 Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

(B) Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane

(Y5) Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113)

(Y7) Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178)

5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

(C) Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.

(Y9) Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214)

5.G.2 Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

(B) Use attributes to recognize rhombuses, parallelograms, trapezoids, rectangles, and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories

(Y7) Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165)

5.G.3 Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

H.5.6.3 Identify the different roles women played during the Revolution (e.g., Abigail Adams, Martha Washington, Molly Pitcher, Phillis Wheatley, Mercy Otis Warren).

H.5.8.4 Discuss the experiences of settlers on the overland trails to the West (e.g., location of the routes; purpose of the journeys; the influence of the terrain, rivers, vegetation, and climate; life in the territories at the end of these trails).