Geometry
Exploring Shapes, Halves, and Quarters
Grade 1
- ✓Identify and describe the defining attributes of two-dimensional shapes (squares, circles, triangles, rectangles).
- ✓Draw shapes based on their defining attributes.
- ✓Partition circles and rectangles into two equal shares, describing them as "halves."
- ✓Partition circles and rectangles into four equal shares, describing them as "fourths" or "quarters."
- ✓Understand that equal shares are necessary for halves and quarters.
Key concepts
Attributes are features that help us describe and tell shapes apart. For 2D (flat) shapes, important attributes are the number of straight sides, whether sides are straight or curved, and the number of corners (also called vertices).\n\n* **Square**: Has 4 straight sides that are all the same length, and 4 corners.\n* **Rectangle**: Has 4 straight sides and 4 corners. Opposite sides are the same length.\n* **Triangle**: Has 3 straight sides and 3 corners.\n* **Circle**: Has no straight sides and no corners. It is a curved shape.
When you divide a whole shape into two parts that are exactly the same size, each part is called a 'half.' Both halves must be equal. If the parts are not equal, they are not halves.
When you divide a whole shape into four parts that are all exactly the same size, each part is called a 'fourth' or a 'quarter.' All four parts must be equal. If the parts are not equal, they are not fourths or quarters.
Key facts to remember
- 1Shapes have defining attributes like the number of sides and corners.
- 2A square has 4 equal straight sides and 4 corners.
- 3A rectangle has 4 straight sides and 4 corners, with opposite sides being equal.
- 4A triangle has 3 straight sides and 3 corners.
- 5A circle has no straight sides and no corners.
- 6When you divide a shape into 2 equal parts, each part is called a 'half'.
- 7When you divide a shape into 4 equal parts, each part is called a 'fourth' or a 'quarter'.
- 8For parts to be halves, fourths, or quarters, they must always be exactly the same size.
Worked examples
Example 1
I have 3 straight sides and 3 corners. What shape am I? Draw me.
Answer
The shape is a triangle.\n\n(Drawing of a triangle, e.g., three connected straight lines forming a closed shape)
Remember to count the sides and corners carefully!
Example 2
Draw a rectangle. Then, show how to partition it into two equal shares and label each share.
Answer
(Drawing of a rectangle with a line down the middle, dividing it into two equal parts. Each part is labeled 'half'.)
The line can go across or down, as long as the two parts are equal.
Example 3
Draw a circle. Then, show how to partition it into four equal shares and label each share.
Answer
(Drawing of a circle with two perpendicular lines crossing in the center, dividing it into four equal parts. Each part is labeled 'fourth' or 'quarter'.)
Make sure all four parts are the same size, like slices of a pizza!
Common mistakes
- ✗Not making the parts equal when dividing a shape into halves or quarters.
- ✗Confusing the attributes of different shapes, like thinking a rectangle has all equal sides like a square.
- ✗Calling parts 'halves' or 'quarters' even if they are not equal in size.
- ✗Forgetting that circles have no straight sides or corners.
Exam tips
- ★Always count the sides and corners carefully to identify a shape correctly.
- ★When drawing lines to divide shapes, make sure all the parts are exactly the same size.
- ★Use a ruler or a straight edge if you need to draw straight lines for shapes or divisions.
- ★Read the question carefully to know if you need to make two equal shares (halves) or four equal shares (fourths/quarters).
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