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E. Spatial Sense · 3D Objects, Directions and Measurement

3D Objects, Directions and Measurement: Unit Review

A1 E1.1 E1.2 E1.3 E1.4 E2.1 E2.2 E2.3 E2.4 E2.5 E2.6 E2.7 E2.8 E2.9About 40 minutes
Learning goals
  • I can name and describe 3D objects and find congruent parts.
  • I can give and follow directions with distances and turns.
  • I can measure perimeter, length, capacity, mass and area and choose good units.
  • I can tell time on analog and digital clocks and timers.

Words to know

face, edge, vertex
The flat surfaces, the lines where faces meet, and the corner points of a 3D object.
congruent
Exactly the same size and shape.
perimeter
The distance around a shape.
area
The surface a shape covers, measured in squares like cm² or m².
capacity
How much a container can hold.
mass
How heavy an object is.

Let's review!

In this unit you explored 3D objects and structures, gave directions with distances and turns, and measured perimeter, length, capacity, mass, time and area. This review has a few questions from every lesson. Try each one, then press Show answer to check. If a part feels tricky, go back to that lesson for more practice.

front: a triangledashed lines =hidden edges
A triangular prism, for the last question below. Count the faces: look at the front, the back and all the sides. Dashed lines show edges hidden at the back.

3D Objects: Faces, Edges and Vertices

1

How many faces, edges and vertices does a cube have?

2

I have 1 flat circle face, 1 curved surface and 1 vertex. What am I?

3

How many faces does a triangular prism have? What shapes are they?

Sorting and Building 3D Objects

1

What is the difference between a prism and a pyramid?

2

Group A: cube, rectangular prism. Group B: cone, cylinder. What is the rule?

3

How many sticks and clay balls make a square-based pyramid skeleton?

Structures: Putting 3D Objects Together

1

A tower is a cylinder with a cone on top. Decompose it.

2

A house is a box with a roof that slopes on two sides. Name the 3D objects.

3

Why should the cone go on the top of a tower?

Congruent Faces, Edges and Objects

1

What does congruent mean?

2

How many pairs of congruent faces does a cereal box have?

3

Box A has edges 2 cm, 5 cm, 7 cm. Box B has edges 7 cm, 2 cm, 5 cm. Are they congruent?

Giving and Following Directions

1

You face right and make a quarter turn left. Which way do you face?

2

You face up and make a half turn. Which way do you face?

3

On a grid, start facing up. Go forward 2, make a quarter turn right, go forward 3. How many squares up and how many squares right of the start are you?

4

Each square on a map is 100 m. How far is a path of 3 squares?

Perimeter: The Distance Around

1

Find the perimeter of a rectangle 8 cm by 3 cm.

2

A triangle has sides 5 cm, 6 cm and 9 cm. Find its perimeter.

3

How can you find the perimeter of a round plate?

4

Name a rectangle with a perimeter of 10 cm.

Millimetres, Centimetres, Metres and Kilometres

1

Fill in: 1 cm = ___ mm, 1 m = ___ cm, 1 km = ___ m.

2

7 cm = ___ mm

3

Which unit would you use for the length of a bed: mm, m or km?

4

Which is longer: 35 mm or 4 cm?

Capacity: How Much Does It Hold?

1

With the same cup: a pot holds 11 cups and a bowl holds 6 cups. How many more does the pot hold?

2

If you heap every scoop, is your count too big or too small?

3

A jug holds 3 big mugs or ___ small cups, if each mug holds 2 small cups.

Mass: Using a Pan Balance

1

On a pan balance, which side goes down?

2

A book balances 22 cubes. A mug balances 15 cubes. Which is heavier? By how much?

3

Is a big object always heavier than a small one?

123456789101112
The clock from the first question below. The short hour hand is between the 9 and the 10. The long minute hand points to the 7.

Telling Time: Clocks and Timers

1

The hour hand is between 9 and 10. The minute hand points to the 7. What time is it?

2

The hour hand is almost at 3 but not past it. The minute hand is 1 mark past the 11. What time is it?

3

Write 6 minutes after 4 as a digital time.

4

A timer shows 2:30 and counts down. What will it show 1 minute later?

Comparing Area and Measuring with Non-Standard Units

1

A tray is covered by 14 cards. A board is covered by 10 of the same cards. Which has more area?

2

Will gaps between units make your area count too big or too small?

3

You cut a shape apart and rearrange the pieces. Does the area change?

Square Centimetres and Square Metres

1

A rectangle on cm grid paper has 4 rows of 5 squares. What is its area?

2

Would you measure the area of a gym floor in cm² or m²?

3

A shape covers 15 whole squares and 10 part squares. Estimate its area.

Just for fun

Which 3D object is everyone's favourite at a party?

The cone: it holds the ice cream and makes a party hat!

How to use this review

  • Do the review in two or three short sittings. Each section matches one lesson.
  • Keep real objects and tools nearby: boxes and cans, a ruler, string, a cup, a homemade balance, a clock and grid paper.
  • After each answer, ask "How do you know?" Explaining matters as much as the answer.
  • Note which sections had mistakes, then revisit those lessons' examples, activities and practice.
Check your understanding

Quiz

1.

How many edges does a rectangular prism have?

2.

Which object is a pyramid?

3.

Two boxes have edges 3 cm, 4 cm, 9 cm and 9 cm, 3 cm, 4 cm. They are ...

4.

You are facing left. You make a quarter turn right. Which way do you face?

5.

What is the perimeter of a square with 7 cm sides?

6.

1 km is the same as ...

7.

Underfilling each cup when measuring capacity makes the count ...

8.

An orange balances 12 cubes or 6 big blocks. Why are the numbers different?

9.

The hour hand is just past the 11. The minute hand points to the 3. What time is it?

10.

A rectangle on cm grid paper has 3 rows of 6 squares. What is its area?

For parents and teachers

Use mistakes to choose what to revisit. Each review section matches one lesson.

  • Miscounts faces, edges or vertices, or mixes up names: revisit 3D Objects: Faces, Edges and Vertices with real boxes and cans.
  • Confuses prisms and pyramids, or gives sorting rules that don't fit every object: revisit Sorting and Building 3D Objects.
  • Can't name the objects inside a structure, or mixes 2D and 3D names: revisit Structures: Putting 3D Objects Together.
  • Thinks same shape means congruent, or is confused when a box is turned: revisit Congruent Faces, Edges and Objects.
  • Turns the wrong way, or forgets which way they face before turning: revisit Giving and Following Directions and play the robot game.
  • Adds only two sides of a rectangle, or counts squares for perimeter: revisit Perimeter: The Distance Around.
  • Changes units the wrong way (7 cm = 0.7 mm), or chooses unsuitable units: revisit Millimetres, Centimetres, Metres and Kilometres.
  • Says heaped scoops give a bigger count, or compares counts made with different cups: revisit Capacity: How Much Does It Hold?.
  • Reads the balance backwards, or thinks bigger means heavier: revisit Mass: Using a Pan Balance.
  • Reads the hour from the nearest number (2:56 as 3:56), or writes 4:6 for 4:06: revisit Telling Time: Clocks and Timers.
  • Doesn't see how gaps and overlaps change the count, or thinks rearranging changes area: revisit Comparing Area and Measuring with Non-Standard Units.
  • Mixes up area and perimeter, or writes cm for an area: revisit Square Centimetres and Square Metres.

A few mistakes are normal. Praise careful measuring and clear explanations, not only right answers.