Shapes and Equal Shares Homework

2nd Grade MathGeometry5 pages

About this worksheet

This 2nd grade geometry homework covers two Common Core standards in three parts. Shape attributes come first: sides and angles counted for a triangle, a trapezoid, a pentagon and a hexagon, plus two questions on a cube's 6 square faces. The middle section shows six partitioned shapes, and students decide equal or unequal before naming halves, thirds or fourths; two shapes are cut unequally on purpose, and one rectangle is halved along its diagonal into triangles. Partitioning practice closes it, asking for two different ways to cut identical rectangles into fourths and a fill-in sentence using fourth and fourths.

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Curriculum objectives covered

2.G.1

Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

Questions 1 to 5, the side, angle and face counts.

2.G.3

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

Questions 6 to 13, from the equal-or-unequal sort to the two-ways-to-fourth drawings.

What's inside this worksheet

Part 1: Shape Attributes

Four 2D shapes with side and angle counts against a word bank, then the cube's face count and face shape.

Part 2: Equal Shares

Six equal-or-unequal judgments. The diagonal-cut rectangle in question 11 still makes halves, and that is the item worth discussing.

Part 3: Partitioning Practice

Two identical rectangles to cut into fourths two different ways, plus the sentence about four equal shares.

Answer key

Lists four acceptable ways to make fourths, including two diagonals.

How teachers use it

Preview question 11

Show the diagonal cut in class before the page goes home. Halves that are triangles contradict most students' mental picture.

Helper-proof by design

Every part uses vocabulary printed on the page, so adults at home end up using the same words you do.

Tally Way B

Next morning, tally which second way of making fourths was most common. The rare diagonal drawer presents theirs to the class.

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