 # Shapes and Fractions

Related Topics:
Common Core Math Resources, Lesson Plans & Worksheets for all grades
Common Core Math Video Lessons, Math Worksheets and Games for Grade 2
Common Core Math Video Lessons, Math Worksheets and Games for all grades

Worksheets, examples, and solutions to help Grade 2 students learn how to interpret equal shares in composite shapes as halves, thirds, and fourths.

Common Core Standards: 2.G.3, 2.G.1

### NYS Math Grade 2, Module 8, Lesson 7 and Lesson 8

Lesson 7 Concept Development and Homework 1. Solve the following puzzles using your tangram pieces. Draw your solutions in the space below.
a. Use the two largest triangles to make a square.
b. Use the two smallest triangles to make a square.
c. Use the two smallest triangles to make a parallelogram with no square corners.
d. Use the two smallest triangles to make one larger triangle.
e. How many equal shares do the larger shapes in Parts (a–d) have?
f. How many halves make up the larger shapes in Parts (a–d)?

2. Circle the shapes that show halves.

3. Examine the trapezoid.
a. How many equal shares does the trapezoid have?
b. How many thirds are in the trapezoid?

4. Circle the shapes that show thirds.

5. Examine the parallelogram.
a. How many equal shares does the shape have?
b. How many fourths are in the shape?

6. Circle the shapes that show fourths.

Lesson 8 Concept Development and Homework 1. Name the pattern block used to cover half the rhombus.
Sketch the 2 pattern blocks used to cover both halves of the rhombus.

2. Name the pattern block used to cover half the hexagon.
Sketch the 2 pattern blocks used to cover both halves of the hexagon.

3. Name the pattern block used to cover 1 third of the hexagon.
Sketch the 3 pattern blocks used to cover thirds of the hexagon.

4. Name the pattern block used to cover 1 third of the trapezoid.
Sketch the 3 pattern blocks used to cover thirds of the trapezoid.

5. Sketch 4 pattern block squares used to make one larger square.
a. Shade 1 small square. Each small square is 1 __________ (half / third / fourth) of the whole square.
b. Shade 1 more small square. Now, 2 __________ (halves / thirds / fourths) of the whole square are shaded.
c. And, 2 fourths of the square is the same as 1 _________ (half / third / fourth) of the whole square.
d. Shade 2 more small squares. ____ fourths is equal to 1 whole.

6. Name the pattern block used to cover 1 sixth of the hexagon.
Sketch the 6 pattern blocks used to cover 6 sixths of the hexagon.

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