
Hierarchy of Quadrilaterals
Coordinate geometry for 5th grade: measure square ABCD from its vertices, finish a rectangle at (7, 6), and match quadrilateral definitions.
5.G geometry: graphing points on the coordinate plane to solve real-world and mathematical problems.

Coordinate geometry for 5th grade: measure square ABCD from its vertices, finish a rectangle at (7, 6), and match quadrilateral definitions.

Hierarchy sort for 2D figures: read a marked shape bank, checkmark categories from polygon to square, then defend three always-sometimes-never statements.

Town map coordinate problems: locate the Fire Station at (7, 5), walk Maya 7 blocks to a bakery, and measure the 12-square-block rectangle the landmarks form.

Five-minute coordinate plane check: name points at (1, 4), (5, 2) and (3, 0), write plotting steps for (4, 5), and settle whether (2, 6) equals (6, 2).

Quadrilaterals in a Venn diagram: sort four measured parallelograms into regions A to D, name the square in the overlap, and defend Maya's rectangle claim.

Plotting points practice: read five points from A(2, 5) to E(3, 0), fix Marcus's reversed (1, 4), and measure 5-block map distances (5.G.1-2).
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 O 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).”
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.”
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.”
5.G.4
“Classify two-dimensional figures in a hierarchy based on properties.”
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5.NF fraction operations: adding and subtracting fractions with unlike denominators and multiplying fractions.

5.NBT decimals: reading, writing, and comparing decimals to thousandths using place value understanding.

5.MD measurement: converting among different-sized standard measurement units within a given measurement system.

5.OA expressions: using parentheses, brackets, or braces in numerical expressions and evaluating expressions containing these symbols.