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Operations and Relationships Worksheet

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Algebra

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Educator and Tagging Information:
Learning Area:
Maths
Resource Name:
Maths
Assessment Exemplar Number:
M7.22
Item:
22
Phase:
Senior
7
Learning Outcome(s) and Assessment Standard(s):
Learning Outcome 1: Numbers, Operations and Relationships
Assessment Standard: We know this when the learner
7.1.4 Recognises and uses equivalent forms of the rational numbers listed above, including:
common fractions; decimals; percentages.
7.1.7 Estimates and calculates by selecting and using operations appropriate to solving problems
that involve: rounding off numbers to at least one decimal place; multiple operations with integers;
multiplication of positive decimals to at least 2 decimal places; division of positive decimals with at
least 3 decimal places by whole numbers; finding percentages; exponents.
7.1.9 (a) Uses a range of techniques to perform calculations including: using the commutative,
associative and distributive properties with positive rational numbers and zero.
7.1.10 Uses a range of strategies to check solutions and judges the reasonableness of solutions.
Learning Space:
Assessment
To be completed later.
Number of questions for exemplar:
1
Rating:
Easy questions:
Medium questions:
Question 1
Difficult questions:

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Questions:
1. You are given the following structures:
x y z
x y z
x y z
−−
+−
−+
If
42, 21 11x y and z= = =
a) Which structure yields the largest result? Show your working.
b) Can you can make two structures equivalent by inserting brackets in them? Show all
your working and provide an answer that shows you can, or that you can not.
c) Now use the numbers to show that your answer in (b) is indeed correct.

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Educator and Tagging Information: Learning Area: Maths Resource Name: Maths Assessment Exemplar Number: M7.22 Item: 22 Phase: Senior Grade: 7 Learning Outcome(s) and Assessment Standard(s): Learning Outcome 1: Numbers, Operations and Relationships Assessment Standard: We know this when the learner 7.1.4 Recognises and uses equivalent forms of the rational numbers listed above, including: common fractions; decimals; percentages. 7.1.7 Estimates and calculates by selecting and using operations appropriate to solving problems that involve: rounding off numbers to at least one decimal place; multiple operations with integers; addition, subtraction and multiplication of common fractions; addition, subtraction and multiplication of positive decimals to at least 2 decimal places; division of positive decimals with at least 3 decimal places by whole numbers; finding percentages; exponents. 7.1.9 ...
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