Nikki's Maths Classroom

This comprehensive Specialist Mathematics Unit 1 lesson bundle has been carefully designed for the new 2025 syllabus, supporting teachers with clear, rigorous, and classroom-ready resources for senior secondary students. Created by an experienced Head of Mathematics, this bundle prioritises conceptual understanding, mathematical precision, and accessibility, making it suitable for a wide range of learners while maintaining the depth required for Specialist-level mathematics. What’s Included? Th

Specialist Maths Unit 1 Exam (Topics 2–5) with Complete Teacher Toolkit This comprehensive exam resource is designed for Unit 1 of Specialist Mathematics, covering Topics 2–5 inclusively. It includes: ✔ Full Exam Paper – professionally formatted and ready to use ✔ Detailed Solutions – for accurate and efficient marking ✔ Marking Guide – ensures consistency and saves time ✔ Markbook with RAG Rating – track student performance at a glance ✔ Teacher Analysis Tools – identify strengths and

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 3 of the 2025 Specialist Maths Syllabus for QLD. It includes animation to represent that vectors and a lot of diagrams with worked examples. It covers the topic of Representation of vectors in two dimensions and covers the following dot points: •Examine examples of vectors including displacement, velocity and force. •Understand the difference bet

Give your students the confidence to succeed in their PSMT with this complete, curriculum-aligned assessment package designed for the QCAA Senior Mathematics Specialist Syllabus. This resource takes the stress out of planning, scaffolding, and marking by providing everything teachers and students need for a high-quality Problem-Solving and Modelling task. What's included? 1) Full PSMT Assessment Task Complete task ready to stick your school logo on and hand out. This task is based on Unit 1

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 1 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of Combinatorics and focusses the following dot points: •Define and use permutations. •Use factorial notation. •Use the notation nPr to represent the number of ways of selecting r objects from n distinct objects where order is important. •nPr="n!" /"(n-r)!" =n×(n−1)×(n−2)×…×(n−r

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 4 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of algebra of 2D vectors and covers the following dot points: • Define and use the scalar (dot) product.• a⋅b=|a||b|cos(θ)• (a_1¦a_2 )∙(b_1¦b_2 )=a_1 b_1+a_2 b_2• Apply the scalar product to vectors expressed in Cartesian form. • Examine properties of parallel and perpendicular v

Complete Exam for Unit 1 of Specialist Math 2025 Syllabus. This exam covers topics 2-5 of Unit 1. It is split into Tech free and Tech active. This document is the solution document, to print for students simply remove the markup.

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 4 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of algebra of 2D vectors and focusses the following dot points: • Model and solve problems that involve displacement, force, velocity and relative velocity using the above concepts. • Model and solve problems that involve motion of a body in equilibrium situations, including vect

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 1 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of Combinatorics and focusses the following dot points: •Use the inclusion-exclusion principle formulas to determine the number of elements in the union of two and the union of three sets. •|A∪B|=|A|+|B|−|A∩B| •|A∪B∪C|=|A|+|B|+|C|−|A∩B|−|A∩C|−|B∩C|+|A∩B∩C| •Use the multiplication

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 4 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of Algebra of 2D Vectors and covers the following dot points: • Determine a vector between two points.• Define and use a vector representing a section of a line segment, including the midpoint of a line segment.• Resolve vectors into (i ) ̂and j ̂ components.

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 5: Matrices of the 2025 Specialist Maths syllabus for QLD. It focuses on Matrix arithmetic and algebra and covers the following dot points: •Define and use addition and subtraction of matrices, scalar multiplication, matrix multiplication, multiplicative identity and multiplicative inverse. •Use matrix algebra properties, including •AA−1=I=A−1A (

**Please note preview images have been watermarked and redacted - full version will not have these**This is a powerpoint introducing students to the notation and definitions required for proofs. It covers the following dot points from the QLD 2025 Specialist Maths Unit 1 Syllabus: •Define and use set notation of number systems, including integers (Z), positive integers (Z+), negative integers (Z−), rational numbers (Q), irrational numbers (Q'), and real numbers (R). •Express rational numbers a

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 3 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of Vvectors in the plane and in 2D. The powerpoint focusses on the below dot points: •Define and use unit vectors and the perpendicular unit vectors i ̂  and j ̂ . •Express a vector in Cartesian (component) form using the unit vectors i ̂  and j ̂ . •Understand and express a ve

**PLEASE NOTE PREVIEW IS REDACTED AND WATERMARKED, DOWNLOADED VERSION IS COMPLETE WITH EXAMPLES AND SOLUTIONS WITH WATERMARK REMOVED** This powerpoint is on Unit 2 Topic 5: Matrices of the Specialist Maths 2025 Syllabus for QLD. It covers the topic of Matrix arithmetic and algebra and focusses on the following dot points: •Understand the matrix definition and notation. •Define and use addition and subtraction of matrices, scalar multiplication, matrix multiplication, multiplicative identity and

**PREVIEW VERSION IS REDDACTED AND WATERMARKED, DOWNLOAD IS COMPLETE AND DOES NOT INCLUDE WATERMARKED BACKGROUND** This powerpoint covers Unit 1 Topic 4: Algebra of vectors in two dimensions in the 2025 QLD Specialist Maths syllabus. It covers the following dot points: •Examine and use addition and subtraction of vectors in Cartesian form. •Define and use multiplication by a scalar of a vector in Cartesian form. •Examine properties of parallel and perpendicular vectors and determine if two vect

**PREVIEW IS A REDACTED AND WATERMARKED VERSION, FULL VERSION IS IN THE DOWNLOAD WITH FULL EXAMPLES AND SCAFFOLDS** This powerpoint is on Unit 1 Topic 2 of the 2025 Specialist Maths Syllabus for QLD. It covers the topic of Introduction to proof and covers the following dot points: •Use proof by contradiction. •Prove irrationality by contradiction. •Use examples and counterexamples. •Prove results involving integers, e.g. proving that the product of two consecutive odd numbers is an odd number a

Clear, engaging and aligned to the 2025 ISMG. The task is written to promote authentic mathematical modelling, reasoning and communication with a realistic real world application. Please see my full bundle with the teacher guide, student scaffold and interpreting the ISMG is included.

This is a scaffold document to help teachers and students interpret the new 2025 PSMT ISMG. It highlights the key verbs and differentiators between the strands. It also provides links to youtube videos for each section.

This teachers guide is a detailed walkthrough for the Gamblers fallacy PSMT that explains: what are the possible assumptions and observationswhat the mathematical translation iswhat technology to use (excel) and the codes you may needhow to verify your solutions/modelhow to evaluate your solution considering the assumptions and observationspossible strengths and limitations to considerThis is part of my PSMT bundle which includes the PSMT task, this teacher guide, the student sample structure s

This document is to be used alongside the Unit 1 Assessment to provide you with insight and students with a RAG rating to help them to use the exam to fill gaps in knowledge.