Year 8 - Unit 2
House Planning (Workbook)
2025
Name: _____________________
Learning Sequence and Skill Checklist
WEEK ONE
2.1 Length and Unit Conversions pg.
2.2a Perimeter of Regular Shapes pg.
3–4
2.2b Area of Regular Shapes pg.
5-6
WEEK TWO
2.3 Area of a kite and rhombus pg.
7-8
2.4 Area of trapezium pg.
9 - 10
2.5 Area of composite shapes pg.
11 – 12
WEEK THREE
2.6 Volume pg. 13 -
14
1
2.7 Capacity pg.
15 - 16
2.8 Algebra Language pg.
17 - 18
2.9 Substitution and evaluation pg.
19
WEEK FOUR
2.10 Adding and Subtracting terms pg.
20 – 21
2.11 Multiplying terms pg.
22
2.12 Dividing terms pg.
23
WEEK FIVE
2.13 Expanding brackets pg.
24 – 25
2.14 Factorising pg. 26
2.15 Pythagoras introduction pg.
27
WEEK SIX
2.16 Finding the length of the hypotenuse pg.
28 - 29
2.17 Finding the length of the shorter side pg.
30 - 31
WEEK SEVEN
2.18 Tessellation pg. 32 -
33
2.19 Congruent Figures pg. 34 -
35
2
2.20 Congruent Triangles pg. 36 -
38
WEEK EIGHT
Revision and CAT
WEEK NINE
Flexi Week
WEEK TEN
Reflection and Post test
2.1 Length & Unit Conversions
3
2.2a Perimeter of Regular Shapes
4
5
2.2b Area of Regular Shapes (Rectangles, Squares, Triangles and Parallelograms)
6
7
8
2.3 Area of Kite and Rhombus
9
10
2.4 Area of Trapeziums
1. Find the area of each trapezium below:
11
2. The area of a trapezium is 63cm2, and its two bases are 6 and 12cm long. Find
the height of the trapezium.
3. The area of a trapezium is 126mm2 with a height of 9mm and the length of one
of the bases is 13mm. Find the length of the second base.
12
13
2.5 Finding the Area of Composite Shapes
1. Find the area of each composite shape.
14
4.
6 Draw an L-shape in the area of 40 cm2. Label your dimensions.
15
16
2.6 Volume
2.
17
5. A tent has a cross-section in the shape of a triangle 2 m wide and 2 m high. The
depth of the tent is 2.5 m, and the tent forms a triangular prism.
a) What is the cross-sectional area of the tent?
b) What is the volume of the tent?
6.
18
2.7 Capacity
1.
2.
19
3.
4.
20
5.
21
2.8 Algebra Language
1.
2.
3. Identify the different parts of algebraic expressions in each of the following:
Expression Variables Coefficients Constants Terms
4+5𝑤
22
4𝑏−14
3−𝑓+5
4.
8.
23
9.
10. A plumber charges a $70 call-out fee and then $90 per hour. Write an
expression for the total cost of calling a plumber out for x hours.
2.9 Substitution and Evaluation
1.
2.
24
3.
6.
7.
8.
25
2.10 Adding and Subtracting Terms
1.
2.
3.
6.
26
8.
12.
27
2.11 Multiplying Terms
1.
2.
28
3.
9. The top of this box is rectangular, with a length three
times its width. All measurements are in centimetres.
a. If the width is x, write an algebraic term that would
represent the length in centimetres.
b. Write an algebraic expression that represents the area
of the top of the box.
c. The height of the box is five times the width. Write an algebraic term to represent
the height.
d. Write an algebraic expression to represent the volume of the box.
29
2.12 Dividing Terms
1.
2.
3. The rectangle has an area of 14xy, and its width is 2y. Find its
length.
(Hint: Length = Area ÷ Width)
30
4.
2.13 Expanding Brackets
1.
2.
3.
4.
31
5.
6.
10.
32
11.
33
2.14 Factorising
1.
2.
3.
4.
5.
34
6.
2.15 Pythagoras Introduction
35
2.16 Finding the length of the hypotenuse
1.
2.
36
3.
7.
8.
37
9.
38
2.17 Finding the length of the shorter side
39
3) To wash a window that is 8 metres off the ground, Ben leans a 10-metre ladder
against the side of the building. To reach the window, how far from the building
should Ben place the base of the ladder?
4) A rectangular swimming pool is 21 metres wide and 50 metres long. Calculate
the length of the diagonal to 1 decimal place.
40
5) Miss Barker is teaching a 5th grade class. She is standing 12 metres in front of
Jim. Francisco is sitting 5 metres to Jim’s right. How far apart are Miss Barker and
Francisco?
6) A triangle has sides with lengths of 10 metres, 16 metres and 20 metres. Is it a
right-angled triangle? Explain your reasoning.
7) One side of a right angled triangle is 10cm. The other two are both of length x.
a) Calculate x to 2 decimal places.
b) Find the perimeter of the triangle in part a)
8) Find the length of the diagonal of a square of side 4cm to 2 decimal places.
41
42
43
2.19 Congruent Figures
4.
44
.
45
.
2.19 Congruent Triangles
1.
46
2.
3.
47
48
4.
5.
49
