Shapes and Equal Shares: practice solutions, Grade 1 – download the PDF

1 Name the flat shape ★★★

1. 3 sides and 3 corners: it is a triangle.
2. Round with no corners: it is a circle.
3. 4 equal sides and 4 square corners: it is a square.

2 Count sides and corners ★★★

We count the straight edges and the points.

A circle is round, so it has 0 sides and 0 corners.

3 Solids in real life ★★★

1. A soccer ball is round all over: sphere.
2. A can of corn has two circle faces: cylinder.
3. A number die has 6 square faces: cube.
4. A party hat has one circle face and a point: cone.

4 True or false: circles ★★★

It is false. A circle is round all the way around. It has no straight sides and no corners, so it has 0 corners.

5 Which sandwich shows halves? ★★★

Sandwich A is cut into halves. Its two pieces are exactly the same size. In sandwich B one piece is bigger than the other, so those pieces are not halves.

6 Fill in the words ★★★

1. 2 equal shares are called halves (one share is a half).
2. 4 equal shares are called fourths.
3. 2 halves make one whole.

7 Pizza shares ★★★

1. The pizza is cut into 4 equal shares.
2. 1 share is colored.
3. The colored share is one fourth (or one quarter) of the pizza.

8 Riddle time ★★★

1. 4 equal sides and 4 square corners: a square.
2. 4 sides, two long and two short: a rectangle.
3. A solid with 6 square faces: a cube.

9 Two triangles ★★★

Put the two triangles together along the long side. They make a rectangle (or a square if the sides match). The new shape has 4 sides and 4 square corners.

10 Two squares ★★★

Two squares side by side make a long shape with 4 sides and 4 square corners. It is a rectangle, and it has 4 sides.

11 Which solids roll? ★★★

A sphere rolls because it is round all over. A cylinder rolls on its curved side. A cube cannot roll because it has only flat square faces.

12 Sharing crackers ★★★

1. Make 2 equal groups: \(6 + 6 = 12\). Each friend gets 6 crackers.
2. Make 4 equal groups: \(3 + 3 + 3 + 3 = 12\). Each friend gets 3 crackers.

With more friends, each share is smaller.

13 Are these fourths? ★★★

Noah is not right. The 4 pieces have different widths, so they are not equal shares. Fourths must be 4 equal shares.

14 Half or fourth? ★★★

One half is bigger. A half comes from cutting the pie in 2 equal shares. A fourth comes from cutting in 4 equal shares, so each fourth is smaller.

15 Square in 4 shares ★★★

There are many ways. Here are three of them.

Way 1: one line down the middle and one across the middle. Way 2: two lines from corner to corner. Way 3: three lines down to make 4 strips. In every way, the 4 shares have exactly the same size, so each share is one fourth.

16 Build a tower ★★★

1. \(2 + 3 + 1 + 1 = 7\). There are 7 solids.
2. \(2 + 3 = 5\). 5 solids are cubes or cylinders.

17 Find the whole ★★★

1. Two halves make the whole: \(5 + 5 = 10\). The ribbon is 10 cubes long.
2. Four fourths make the whole: \(3 + 3 + 3 + 3 = 12\). The ribbon is 12 cubes long.

18 Pie problem ★★★

1. \(1 + 2 = 3\). They ate 3 shares.
2. \(4 - 3 = 1\). 1 share is left.
3. Each share is one fourth of the pie, so one fourth is left.

19 Same four squares ★★★

1. Shape A is a big square. It has 4 equal sides and 4 square corners.
2. Shape B is a rectangle that is not a square. It is long, with 2 long sides and 2 short sides.

The same 4 squares can make different shapes.

20 Find the mistake ★★★

Ben is not right. A triangle is a flat shape with 3 sides and 3 corners. A cone is a solid shape with a circle face and a curved surface. You can hold a cone, but a triangle drawn on paper is flat.