Download Year 7 | Unit 3

Learner Resource
School Name
Worongary State School
Subject
Maths
Description
Sample Pre-assessment task Unit 3
Topic
Patterns and algebra/ linear
relationships
Year
7
It is imperative that the learning experiences are not narrowed to the skills
outlined in this pre assessment as students will require concept
development in areas additional to this task in order to succeed in future
units.
Instructions
Students have opportunity to demonstrate their understanding of:
• Patterns and algebra - use variables to represent numbers, create
algebraic expressions, evaluate algebraic expressions by substitution
• Linear and non-linear relationships - plot points on a Cartesian plane, find
coordinates for points on a Cartesian plane, solve simple linear equations
and create and analyse graphs from authentic data.
Topics
5 Lessons Patterns and algebra
8 Lessons Linear and non-linear relationships
Task designed by
South East Region
Jo Smith
Contact
Janelle Dickman 0467 777 965
Learner Resource template
V1 – Aug 2013
Learner Resource
Student Name
Class
Date
PART A
1.
x + 5 = 17
2y = 12
4a + 9 = 25
3b – 2 = 7
2. Simplify and solve the following:
a=5
a + 20 =
b=2
b+b+b+b+b=
c = 100
500 – c – c =
d = 12
5d =
South East Region
Learner Resource template
V1 – Aug 2013
Learner Resource
Writing patterns as equations
Janelle used toothpicks to create this design.
3. Draw the next shape in this pattern.
4. Complete this table to show how many toothpicks Janelle needs for each shape in the pattern.
x
(shape)
y
(number of toothpicks)
1
2
3
3
5. Describe the relationship between the shape and the number of toothpicks.
6. Write an equation to describe the pattern.
South East Region
Learner Resource template
V1 – Aug 2013
Learner Resource
PART B
Cartesian plane (-10 to 10)
Label the x and y axes on the plane below. Plot the following points: A(-5,2), B(5, -2), C(-1, -4), D(9, -8)
The ________ is in the first
quadrant.
The ________ is in the
second quadrant.
The ________ is in the third
quadrant.
The ________ is in the
fourth quadrant.
Plot the following points on the
Cartesian plane:
A (3, -3)
B (4, -6)
C (-7, 3)
D (5, 9)
E (-2, 0)
F (3, -1)
South East Region
Learner Resource template
V1 – Aug 2013
Learner Resource
South East Region
Learner Resource template
V1 – Aug 2013