Grade by Grade
E. Spatial Sense · Angles, Rectangles, Grids and Measurement

Angles, Rectangles, Grids and Measurement: Unit Review

A1 E1.1 E1.2 E1.3 E2.1 E2.2 E2.3 E2.4 E2.5 E2.6About 40 minutes
Learning goals
  • I can name angles and describe the properties of rectangles.
  • I can plot points and translate and reflect shapes on a grid.
  • I can measure mass and capacity with metric units and choose units and tools.
  • I can solve elapsed time problems and find areas and missing sides of rectangles.

Words to know

acute, right, obtuse, straight
The four kinds of angles: smaller than, equal to, bigger than a square corner, and a straight line.
parallel and perpendicular
Never meeting and always the same distance apart; meeting at a right angle.
ordered pair (x, y)
Coordinates: across first, then up.
translation and reflection
A slide and a flip.
kilo-, centi-, milli-
One thousand, one hundredth, one thousandth.
elapsed time
The time that passes from start to end.
A = l × w
The formula for the area of a rectangle.

Let's review!

In this unit you became an angle detective, a grid navigator and a measuring expert. You named angles, described rectangles using parallel and perpendicular sides and lines of symmetry, plotted points, slid and flipped shapes on grids, worked with grams, kilograms, millilitres and litres, used metric prefixes, connected units of time and found elapsed time, and found the area of rectangles by multiplying and dividing.

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.

acutesmaller than a right anglerighta square cornerobtusewider than a right anglestraighta straight line
Quick recap: the four kinds of angles. Compare each one with the square corner of a right angle.
0112233445566xy1. across 32. up 4(3, 4)
Quick recap: to plot (3, 4), start at the origin (0, 0), go across 3 first, then up 4.

Angles: Right, Acute, Obtuse and Straight

1

What kind of angle is smaller than a right angle?

2

What kind of angle do the clock hands make at 6:00?

3

An angle is wider than a square corner, but its arms do not make a straight line. What kind is it?

Parallel and Perpendicular Lines

1

What do we call lines that stay the same distance apart and never meet?

2

Two lines cross and make square corners. What are they called?

3

In the capital letter H, which segments are parallel?

Properties of Rectangles: Angles, Sides and Lines of Symmetry

1

How many right angles and how many pairs of parallel sides does a rectangle have?

2

How many lines of symmetry does a long rectangle have? A square?

3

Is a square a rectangle? Explain.

Plotting and Reading Coordinates

1

In the ordered pair (5, 2), which number tells you how far across to go?

2

Where is the point (0, 6)?

3

Plot (2, 1), (6, 1), (6, 3) and (2, 3) and join them in order. What shape is it?

Translations: Sliding Points and Shapes on a Grid

1

Describe the translation from (1, 4) to (5, 1).

2

Point (6, 2) slides 4 units left and 3 units up. Where does it land?

3

After a translation, does a shape face the same way or the opposite way?

Reflections: Flipping Shapes on a Grid

1

Reflect (2, 3) over the vertical line through 5 on the x-axis.

2

Reflect (4, 6) over the horizontal line through 4 on the y-axis.

3

How can you tell a reflection from a translation?

Mass: Grams and Kilograms

1

How many grams are in 3 kg?

2

Which is heavier: 1 kg 200 g or 1100 g?

3

What is a benchmark for about 1 kg?

Capacity: Millilitres and Litres

1

How many millilitres are in 2 L?

2

How many 250 mL cups can you fill from a 1 L carton?

3

Would you measure the capacity of a bucket in mL or L?

Metric Prefixes: Choosing Units and Tools

1

What does the prefix milli- mean?

2

Put in order from smallest to largest: 1 km, 1 cm, 1 mm, 1 m.

3

Which tool would you use to measure the mass of flour for a recipe?

Units of Time: Seconds to Centuries

1

How many minutes are in 5 hours?

2

Write 100 minutes in hours and minutes.

3

How many years are in 2 centuries?

Elapsed Time: How Long Did It Take?

1

How long is it from 10:35 a.m. to 12:05 p.m.?

2

A bake sale starts at 1:45 p.m. and lasts 2 h 30 min. When does it end?

3

A show ends at 7:20 p.m. and is 50 minutes long. When did it start?

Area of Rectangles: Rows, Columns and Multiplying

1

Find the area of a rectangle 8 cm by 6 cm.

2

A floor is 14 m long and 3 m wide. What is its area?

3

Why does multiplying give the area of a rectangle?

Using the Area Formula to Find a Missing Side

1

A rectangle has an area of 45 cm² and a length of 9 cm. What is the width?

2

A square has an area of 36 m². How long is each side?

3

A = 56 m² and w = 7 m. What is l?

Just for fun

Q: What do you call someone who can name angles, plot points, slide and flip shapes, measure mass, capacity and time, and find area?

A: You, after this review!

How to use this review

  • Do the review over two or three short sittings. Each section matches one lesson.
  • Keep tools nearby: a paper right-angle tester, grid paper, a ruler, a clock with hands, a measuring cup and food labels. Using tools is part of Grade 4 math.
  • For grid questions, draw the grid and plot the points. For time questions, draw a timeline.
  • After each answer, ask "How do you know?" and "How can you check?"
  • Note which section had mistakes, then revisit that lesson's examples, activity and practice.
Check your understanding

Quiz

1.

What kind of angle do the clock hands make at 9:00?

2.

How many lines of symmetry does a square have?

3.

In a rectangle, the two sides that meet at a corner are...

4.

A point is 3 across and 5 up from the origin. What are its coordinates?

5.

A point moves from (2, 2) to (7, 4). Describe the translation.

6.

Reflect (1, 4) over the vertical line through 3 on the x-axis.

7.

Which is the greatest amount?

8.

4 kg is the same as...

9.

How long is it from 8:40 a.m. to 10:10 a.m.?

10.

A rectangle has an area of 42 m² and a width of 6 m. How long is it?

For parents and teachers

How to use the results: Each section of the review matches one lesson. If your child has trouble, go back to that lesson's examples and practice.

  • Mixes up acute and obtuse, or judges angles by arm length: revisit Angles: Right, Acute, Obtuse and Straight.
  • Confuses parallel and perpendicular: revisit Parallel and Perpendicular Lines.
  • Thinks a rectangle's diagonal is a line of symmetry, or says a square is not a rectangle: revisit Properties of Rectangles.
  • Reverses coordinates (goes up first) or puts points in squares: revisit Plotting and Reading Coordinates.
  • Changes the wrong number when sliding a point, or stretches shapes: revisit Translations.
  • Copies a shape instead of flipping it, or counts from the edge of the grid: revisit Reflections.
  • Compares 900 g and 2 kg without converting: revisit Grams and Kilograms.
  • Misreads measuring cup scales or mixes up mL and L: revisit Millilitres and Litres.
  • Mixes up centi- and milli-, or picks unreasonable units: revisit Metric Prefixes.
  • Writes 90 minutes as 0 h 90 min, or forgets leftovers: revisit Units of Time.
  • Subtracts times like ordinary numbers, or has trouble crossing noon or midnight: revisit Elapsed Time.
  • Adds instead of multiplying for area, or mixes up area and perimeter: revisit Area of Rectangles.
  • Subtracts instead of dividing to find a missing side: revisit Using the Area Formula to Find a Missing Side.