Kindergarten Mathematics: Chapter 7 | Shapes, Position, Sorting and Numbers
Separate teacher guide and answer key. Read the matching student chapter aloud, model a worked example, then let the learner respond independently. Keep individual student records private.
Day 1: Describe Flat Shapes
Instructional reading
A flat, or two-dimensional, shape has length and width. A triangle has three straight sides and three corners. A rectangle has four sides and four right-angle corners. A square is a rectangle whose four sides are equal. A circle has no straight sides or corners. When we turn or slide a shape, its number of sides does not change.
Model the concept
Show a triangle cut from paper, count three sides, and turn it. Explain why it remains a triangle.
Answer key
- 1. How many straight sides does a triangle have? Answer: 3
- 2. How many corners does a rectangle have? Answer: 4
- 3. Which has no corners, a circle or square? Answer: circle
- 4. Is every square also a rectangle? Answer: yes
- 5. Does turning a triangle make it a new shape? Answer: no
- 6. Draw and label a shape with four equal sides. Answer: A recognizable labeled square
Score six core questions. Accept developmentally appropriate spoken or drawn equivalents, reteach missed skills, and check again without prompting.
Day 2: Describe Solid Shapes
Instructional reading
A solid, or three-dimensional, object has length, width and height. A cube has flat square faces; a ball is shaped like a sphere, which has a curved surface. A can is close to a cylinder, which has two circular faces and a curved side. Real objects may resemble shapes without matching perfect mathematical models.
Model the concept
Compare a dice-shaped cube with a ball. The ball rolls smoothly; a cube has flat faces and edges.
Answer key
- 1. Which solid resembles a ball? Answer: sphere
- 2. Which solid resembles a dice? Answer: cube
- 3. What shape resembles a can? Answer: cylinder
- 4. Does a cube have flat faces? Answer: yes
- 5. Can a sphere roll? Answer: yes
- 6. Name one real object that resembles a cylinder. Answer: can, paper roll, or another valid object
Score six core questions. Accept developmentally appropriate spoken or drawn equivalents, reteach missed skills, and check again without prompting.
Day 3: Use Position Words
Instructional reading
Position words explain where an object is relative to another. Place a block above a book, below a table, beside a cup, or between two pencils. Left and right depend on a viewer’s orientation. Give directions clearly so a partner can repeat them with the same objects.
Model the concept
Put a cube between two blocks and describe its location aloud.
Answer key
- 1. Where is an object placed between two chairs? Answer: between
- 2. What word means next to? Answer: beside
- 3. What is the opposite of above? Answer: below
- 4. What word describes an object inside a box? Answer: inside
- 5. Why might left and right depend on where you stand? Answer: The viewer’s orientation affects the direction
- 6. Position a pencil beside a book and describe it. Answer: An accurate action and description
Score six core questions. Accept developmentally appropriate spoken or drawn equivalents, reteach missed skills, and check again without prompting.
Day 4: Sort and Count Objects
Instructional reading
We can classify objects by color, shape, size or other visible attributes. State a rule before sorting. For example, put all triangles in one group and all circles in another. Count each group carefully. The same objects could be sorted by color instead, but a new sorting rule creates new groups.
Model the concept
Sort a collection of red and blue buttons by color, then count each group without guessing.
Answer key
- 1. Name one attribute used to sort. Answer: color, shape, size or material
- 2. If there are four red buttons and three blue, how many buttons in all? Answer: 7
- 3. Can objects be sorted by shape? Answer: yes
- 4. Should you explain your sorting rule? Answer: yes
- 5. Which group is larger, five or eight objects? Answer: eight
- 6. Give a rule for sorting blocks into two groups. Answer: Any clear repeatable rule
Score six core questions. Accept developmentally appropriate spoken or drawn equivalents, reteach missed skills, and check again without prompting.
Day 5: Chapter 7 Independent Check
Instructional reading
Review flat shapes, solid shapes, position and sorting. Make a labeled drawing or use safe manipulatives before choosing an answer. Correct work uses the shape’s properties, not its size, color or orientation.
Model the concept
A cylinder has a curved surface and two circular faces. A triangle has three sides. Compare objects using those properties.
Answer key
- 1. Which flat shape has three straight sides? Answer: triangle
- 2. Which solid resembles a ball? Answer: sphere
- 3. How many corners in a square? Answer: 4
- 4. What does beside mean? Answer: next to
- 5. Which is greater, 16 or 13? Answer: 16
- 6. Explain one way to sort a group of classroom objects. Answer: Any clear attribute-based rule
Score six core questions. Accept developmentally appropriate spoken or drawn equivalents, reteach missed skills, and check again without prompting.
Review and next steps
Five daily checks with 30 questions total. Discuss progress privately and use a separate independent check before advancement.