MAPPING DIAGRAMS AND FUNCTIONS WORKBOOK Scaffolded notes + worksheets + solutions + mini folded notes to learn and practise: Understand that a mapping diagram consists of two parallel columns connected by lines or arrows that show the relationship between input and output values. Explain the relationship between the inputs and the outputs of mapping diagrams. Draw a mapping diagram of the ordered pairs. Determine whether the mapping diagrams represent a function. Draw a mapping diagram for functions. There are two styles of the workbook. Style 1: Cover, fill in the blank notes and worksheets Style 2: Cover, completed (filled) notes and worksheets Total pages in each workbook: 14 Easy classroom preparation: For workbook: Just print and staple all pages together to make a book. For Mini folded note: print, fold and glue the pages to make a mini notebook. Grades: 9th & 12th Learning Outcomes: Define and use a relation as mappings between sets and as a rule or a formula that defines one variable quantity in terms of another. Identify types of relations on a given domain and range (ordered pairs) using mapping diagrams. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Also comply with Australian Curriculum: Use function notation, domain and range, independent and dependent variables (ACMMM023) Understand the concept of the graph of a function (ACMMM024) Other Resource about Mapping Diagrams and Relations [Functions-Classifying and Mapping Relations Workbook] ( More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Functions Visit my shop :)

CLASSIFYING AND MAPPING RELATIONS WORKBOOK Scaffolded notes + worksheets + activity + solutions + mini folded notes to learn and practise: Understand the types of relations Identify types of relations in a given domain and range in forms such as mapping diagrams, sets of ordered pairs and a table of values. Classify a variety of types of graphs as a specific type of relation and as a function or not a function. Understand the formal definition of a function as a set of ordered pairs (x, y) of real numbers such that each x-value is exactly connected to one y-value. THIS RESOURCE INCLUDES: • File 1: Resources Description and other info • File 2: Teacher Notes for transparencies and whiteboards • File 3: Workbook A (Fill in the blank notes + Worksheets) • File 4: Workbook B (Filled notes + Worksheets) • File 5: Solutions • File 6: Relations Map activity • File 7: Student mini folded notes There are two styles of the workbook. Style 1: Cover, fill in the blank notes and worksheets Style 2: Cover, filled notes and worksheets Total pages in each workbook: 14 Easy classroom preparation: • For teacher notes: print the notes on transparencies or display them on a whiteboard. • For the workbook: print and staple all pages together to make a book. • For the activity: print the activity. Students need scissors and glue. • For the mini folded notes: print, fold and glue the pages to make a mini notebook. Grades: 9th & 12th Learning Outcomes: Define a relation as any set of ordered pairs (x, y) of real numbers. Define a function and a relation as mappings between sets, and as a rule or a formula that defines one variable quantity in terms of another. Identify types of relations in a given domain and range in forms such as mapping diagrams, sets of ordered pairs and a table of values. Understand the formal definition of a function as a set of ordered pairs (x, y) of real numbers such that each x-value is exactly connected to one y-value. Write a possible equation for relations. Classify a variety of types of graphs as a specific type of relation and as a function or not a function. Also comply with Australian Curriculum: Use function notation, domain and range, independent and dependent variables (ACMMM023) Understand the concept of the graph of a function (ACMMM024) Other resource about Mapping Diagrams: Mapping Diagrams and Functions Workbook Visit my shop :)

PARABOLA & CIRCLE PROBLEMS - FUNCTIONS & GRAPHS REVIEW for Math Test Preparation. Working mathematically & critical thinking to solve problems involving function and relation graphs. The resource contents: Worksheets + Step by step solutions + Teacher notes. Problem 1 in 2 skills: Easy: Steps to solve the problem are given. Hard: Steps to solve the problem are not given. Problem 2: Steps to solve the problem are not given. Grades: 10th & 12th Learning Outcomes: Recognise features of the graphs of x^2 + y^2 = r^2 and (x − h)^2 + (y − k)^2 = r^2, including their circular shapes, their centres and their radii. Recognise features of the graph of y = x^2 including its parabolic shape and its axis of symmetry. Find the intersection points of a parabola and a circle. Also comply with Australian Curriculum: Understand the concept of the graph of a function (ACMMM024) Recognise features of the graphs of x^2 + y^2 = r^2 and (x − h)^2 + (y − k)^2 = r^2, including their circular shapes, their centres and their radii. (ACMMM020) Recognise features of the graph of y = x^2 including its parabolic shape and its axis of symmetry. (ACMMM021) MA-F1: Working with functions. More Function Resources: Mapping Diagrams and Functions Workbook Classifying and Mapping Relations Workbook Parabolas & Circles-Functions & Graphs Review- Math Test Prep Visit my shop :)

Differential Calculus: The Equation of Tangents to a Curve problems and step-by-step solutions. Students think critically, demonstrate knowledge of functions and differential calculus. Apply the appropriate formulas, sketch the graph of y = f(x) and their tangents. Use mathematical strategies to solve all questions. Learning Outcomes: Use first principles to find the derivative of simple polynomials. Understand the derivative as the gradient of the tangent to the curve of y = f(x) at a point. Find the gradient of the tangents at a point on the curve. Find the equation of the tangent to the curve at a point. Practise sketching a curve and the tangents. Grades: 10th to 12th Also suitable for Australian Curriculum Examine the behaviour of the difference quotient (f(x+h)−f(x))/h as h→0 as an informal introduction to the concept of a limit (ACMMM081) Interpret the derivative as the gradient of the tangent to the graph of y = f(x) at a point (ACMMM085) Estimate numerically the value of the derivative at a point, for simple power functions (ACMMM086) understand the concept of the derivative as a function (ACMMM089)

Differential Calculus: The Equation of Tangent and Normal to a Curve problems and step-by step solutions. Students think critically, demonstrate knowledge of functions and differential calculus. Apply the appropriate formulas, sketch the graph of y = f(x) with the tangent and normal. Use mathematical strategies to solve all questions. Learning Outcomes: Understand the derivative as the gradient of the tangent to the curve of y = f(x) at a point. Understand that the normal on the curve is perpendicular to the tangent. Find the gradient of the tangent and normal at a point on the curve. Find the equation of the tangent and normal of the curve at a point. Practise sketching a curve with the tangent and normal. Find the angle of inclination. Grades: 11th to 12th Also comply with Australian Curriculum Interpret the derivative as the gradient of the tangent to the graph of y = f(x) at a point (ACMMM085) Estimate numerically the value of the derivative at a point, for simple power functions (ACMMM086) understand the concept of the derivative as a function (ACMMM089) Differential Calculus Resources: Differential Calculus -The Equation of Tangents to a Curve- Critical Thinking

2024 Yearly Planner Freebie for my fellow teachers and their students. Two sizes of yearly planners in colours and grayscale: A4 size: 29.7 cm x 21 cm Letter size: 27.9 cm x 21.6 cm Thank you for visiting my shop. Wishing you all happy teaching! CAS Take on Maths Resources: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area Functions Trigonometry Colouring Pages Fun Activity Visit my shop :)

AREA OF RECTANGLES ACTIVITY 6 tasks to practise area of rectangles in a variety of length units. (metric system). Tasks 1 and 2: Students place a whole number in each box, so the area of each rectangle is true. Tasks 3 and 4: Students place a decimal in each box, so the area of each rectangle is true. Tasks 5 and 6: Students fill in each box with one of the numbers in the list, so the area of each rectangle is true. Also included: Answer keys for tasks 5 & 6. Grades: 3rd to 6th Learning Outcomes: Understand that the area of a rectangle can be found by multiplying the length by the width. Calculate the areas of rectangles using familiar metric units. Establish the relationship between the lengths, widths and areas of rectangles. Also comply with Australian Curriculum: Calculate the areas of rectangles using familiar metric units (ACMMG109) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area and Perimeter Functions Visit my shop :)

AREA OF RECTANGLES WORKBOOK Notes, worksheets and homework to practise area of rectangles in a variety of length units (metric system). The workbook is in 2 styles. Style 1: Cover, fill in the blank notes, worksheets and homework. Style 2: Cover, completed (filled) notes, worksheets and homework. Total pages in each workbook: 14 Easy classroom preparation: Just print and staple all pages together. Also included: • Teacher notes for whiteboards and transparencies • Answer keys Grades: 3rd to 6th Learning Outcomes: Explain that the area of a rectangle can be found by multiplying the length by the width. Calculate the areas of rectangles using familiar metric units. Establish the relationship between the lengths, widths and areas of rectangles. Also comply with Australian Curriculum: Calculate the areas of rectangles using familiar metric units (ACMMG109) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area Functions Visit my shop :)

TRIGONOMETRIC RATIOS SOH CAH TOA Posters + Student Notes (in Card sizes) • Colour and black & white posters in 4 sizes: A2, A3, 24in × 18in and 19in × 13in • Colour and black & white cards in 2 sizes: A4 and letter. Easy classroom preparation: Print the preferred dimensions of the poster and cards. Grades: 9th to 12th LEARNING OUTCOMES: Define the sine, cosine, and tangent ratios for angles in right-angled triangles. Also comply with Australian Curriculum: Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223) Review sine, cosine and tangent as ratios of side lengths in right-angled triangles (ACMMM028) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area Functions Trigonometry Visit my shop :)

FRACTIONS EXIT TICKETS Two exit tickets for students to review fractions skills and understanding: Write shaded parts of the given diagram as a fraction. Locate fractions on number lines. Understand types of fractions: proper, improper and mixed numerals Identify and write equivalent fractions Simplifying fractions Compare and ordering fractions Write sequence fractions Add and subtract fractions with like denominators. Also included: Answer keys Note: the exit tickets are in PowerPoint format. Teacher types (inputs) the standards (outcomes) required for their class before printing the exit tickets. Please read the standards (outcomes) covered in the exit tickets on the description page. Grades: 3rd to 7th Comply with KS2 and KS3 Maths: Fractions. Also comply with Australian Curriculum: Count by quarters, halves and thirds, including with mixed numerals; locate and represent these fractions on a number line (ACMNA078) Investigate equivalent fractions used in contexts (ACMNA077) Compare and order common unit fractions and locate and represent them on a number line (ACMNA102) Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) Compare fractions with related denominators and locate and represent them on a number line (ACMNA125) Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area Functions Visit my shop :)

FRACTIONS EXIT TICKETS Two exit tickets for students to review fractions skills and understanding: Write shaded parts of the given diagram as a fraction. Locate fractions on number lines. Understand types of fractions: proper, improper and mixed numerals Identify and write equivalent fractions Simplifying fractions Compare and ordering fractions Write sequence fractions Add and subtract fractions with like denominators. Also included: Answer keys Note: the exit tickets are in PowerPoint format. Teacher types (inputs) the standards (outcomes) required for their class before printing the exit tickets. Please read the standards (outcomes) covered in the exit tickets on the next page. Grades: 3rd to 7th Comply with KS2 and KS3 Maths: Fractions. Also comply with Australian Curriculum: Count by quarters, halves and thirds, including with mixed numerals; locate and represent these fractions on a number line (ACMNA078) Investigate equivalent fractions used in contexts (ACMNA077) Compare and order common unit fractions and locate and represent them on a number line (ACMNA102) Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103) Compare fractions with related denominators and locate and represent them on a number line (ACMNA125) Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area Functions Visit my shop :)

CONVERTING REPEATING DECIMALS TO FRACTIONS WORKBOOK Scaffolded notes + worksheets + answer keys + mini folded notes to learn and practise: Use the notation for recurring (repeating) decimals. Convert terminating decimals to fractions. Convert recurring decimals to fractions. Compare and order terminating decimals and recurring decimals. The scaffolded notes show step by step how to convert repeated decimals to fractions. Grades: 7th to 10th There are two styles of workbook. Style 1: Cover, fill in the blank notes and worksheets Style 2: Cover, filled notes and worksheets Total pages in each workbook: 14 Easy classroom preparation: For teacher notes: print the notes on transparencies or display them on a whiteboard. For the workbook: print and staple all pages together to make a book. For the mini folded notes: print, fold and glue the pages to make a mini booklet. Also comply with Australian Curriculum: Investigate terminating and recurring decimals (ACMNA184) Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157) Apply appropriate mathematical techniques to solve problems (MA4-2WM) Communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Pythagoras Theorem Measurement and Geometry Area Functions Trigonometry Visit my shop :)