Integers · Mana Maths

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Learning objective overview

Master Teaching Guide coverage for this objective.

Alpha textbook: Mixed Adding and Subtracting Skills in PSE 3C, pg 57
Alpha textbook: Integers in Context in Ex 3.13, pg 59
Alpha textbook: Mixed Multiplying and Dividing Skills in PSC 3I, pgs 64 & 65
Alpha textbook: Check Your Understanding on pgs 65 & 66)
Dr Austin Maths - Practical Negative Numbers Practice GridQuestions PDF · Answers
Quick Maths NZ - Adding and Subtracting Integers (Year 9 lesson)
Quick Maths NZ - Multiplying and Dividing Integers (Year 9 lesson)
Beta: Skills in Ex 1.04 & 1.05, pg 12 & 14
CorbettMaths worksheet +/-Questions PDF · Answers
CorbettMaths worksheet ×/÷Questions PDF · Answers

Identify and order positive and negative integers on a number line.
Add integers, including adding a negative integer.
Subtract integers, including subtracting a negative integer.
Multiply two integers and correctly determine the sign of the product.
Divide two integers and correctly determine the sign of the quotient.
Solve multi-step problems that combine addition, subtraction, multiplication, and division of integers.

Standalone Year-10-branded rebuild of 10MAT-ALGEBRA-LO2 (registry order 223, target lo-integers-y10) - the original Year 10 restatement of Integers was resolved by enriching the shared T1_LO5 entry rather than creating a new page; this -R entry is the curriculum team's later decision to publish a separate Year-10 page after all, so it is not an unresolved duplicate.
Same integer arithmetic scope as T1_LO5 (Integers): adding, subtracting, multiplying and dividing with negative numbers.
Linking integers to BEDMAS/GEMA (T1_LO7 / MG:10MAT-ALGEBRA-LO1-R) can come up later.
Checking for equivalence in expressions involving negative numbers, e.g. (-3)^2 not -3^2, -2 + 3 = 3 + (-2), 2 x (-3) = (-3) x 2 = (-2) x 3, etc.
Explicit use of number line.