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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