AREA OF COMPOSITE SHAPE ACTIVITY Math Challenge Activity- to keep your learners engaged, thinking critically and making connections to 2D shapes. This activity requires learners to determine the area of a shape based on the given dimensions. It also encourages them to think creatively and come up with mathematical strategies to solve unknown lengths. The aim of this activity is to: Increase their fluency and confidence in geometry and measurements Develop understanding of a variety of 2D shapes in real life problems. In this activity, students will practice finding the area of a composite (irregular) figure involving a rectangle, a triangle and semi-circles. Step-by-step solutions are also included. Grades: 6th to 9th Learning Outcomes: Establish the formulas for the areas of rectangles, triangles and parallelograms, and use them in problem-solving. Solve problems involving the area of circles. Calculate the area of the composite shape. Also comply with Australian Curriculum: Calculate areas of composite shapes (ACMMG216) Critical Thinking Problems: Area of Composite Shape-Critical thinking Activity-Math Challenge 1 Area of Composite Shape-Critical thinking Activity-Math Challenge 2 Area of 2D Shapes-Critical thinking Activity-Math Challenge 3

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 :)

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 :)

Solving the trapezium problems. Tasks to practice working mathematically, applying strategies and reasoning to solve trapezium shape problems. This activity will help students to: practise working mathematically, applying strategies and reasoning involving 2D shapes. understand the relationship between shapes and areas. improve problem-solving skills and understanding of mathematical language and notation. apply mathematical principles to real-world problems. Task 1: Trapezium Field Students solve two trapezium problems (right trapezium and isosceles trapezium). Task 2: Trapezium Resort Students solve problems involving trapezium and triangles in a hexagonal field. Task 3: Trapezium Garden Students solve problems involving congruent isosceles trapeziums and triangles in a rectangular field. Total pages in each set: 8 Easy classroom preparation: Just print then glue each page onto students’ notebooks or staple all pages together. Answer keys are also included. Skill Level: Easy Grades: 6th to 9th Key Learnings: Demonstrate that the trapezium area is the average length of its parallel sides multiplied by the perpendicular height. A = h/2(a + b) Apply strategies, reasoning, and explain mathematical relationships to solve trapezium and other 2D shape problems. Australian Curriculum: Recognise and explain mathematical relationships using reasoning (MA4-3WM). Apply appropriate mathematical techniques to solve problems (MA4-2WM) Communicate and connect mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM) Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159) Find areas of trapeziums, rhombuses and kites (ACMMG196) Resources about Trapeziums: Trapezium Area: Lesson Notes + Worksheets + Answers Math Manipulatives Part 1 for the Trapezium Area Math Manipulatives Part 2 for the Trapezium Area Solving Trapezium Problems

Trapezium Areas Flipbooks contain covers, scaffolded notes and worksheets to practise finding trapezium areas The notes with examples show step by step how to find the trapezium area Worksheets A & B: general questions Worksheets C & D: Challenge Questions. Students work out the missing lengths before finding the trapezium area. Flipbooks are available in 2 styles. Style A: Cover, fill in the blank notes and worksheets. Teacher and students work together to fill the scaffolded notes. Style B: Cover, filled notes and worksheets. Total pages in each flipbook: 10 Easy classroom preparation: Just print then glue each page onto students’ notebooks or staple all pages together. Answer keys and mini folded notes are also included. Skill Level: Easy Grades: 6th to 9th Key Learnings: Demonstrate that the trapezium area is the average length of its parallel sides multiplied by the perpendicular height. A = h/2(a + b) Use the trapezium formula to calculate trapezium areas and convert between area units Apply strategies, reasoning, and explain mathematical relationships using other two-dimensional shapes to find the trapezium area Australian Curriculum: Recognise and explain mathematical relationships using reasoning (MA4-3WM). Apply appropriate mathematical techniques to solve problems (MA4-2WM) Communicate and connect mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM) Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159) Find areas of trapeziums, rhombuses and kites (ACMMG196) Methods to find the trapezium area: Math Manipulatives Part 1 for the Trapezium Area Math Manipulatives Part 2 for the Trapezium Area

Math Manipulatives Part 1 flipbook about the Trapezium Area A series of fun activities to practice using different types of 2D shapes to prove and establish the trapezium area formula. This activity will help students to practise working mathematically, applying strategies and reasoning involving 2D shapes. understand the relationship between shapes and areas. improve problem-solving skills and understanding of mathematical language and notation. develop critical thinking skills and the ability to identify patterns and apply mathematical principles to real-world problems. Task 1: To prove the area of a trapezium is half of a parallelogram. Task 2: To prove the area of a trapezium is the sum of two triangles. Task 3: To prove the area of a right trapezium is half of a rectangle. Skill Level: Easy Grades: 6th to 9th ** Learning Outcomes:** Demonstrate that the trapezium area is the average length of its parallel sides multiplied by the perpendicular height. A = h/2(a + b) Apply strategies, reasoning and mathematical methods using other two-dimensional shapes to find the trapezium area. Australian Curriculum: Manipulate, classify and draw two-dimensional shapes, including equilateral, isosceles and scalene triangles and describes their properties (MA3-15MG). Recognise and explain mathematical relationships using reasoning (MA4-3WM). Apply appropriate mathematical techniques to solve problems (MA4-2WM) Communicate and connect mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM) Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159) Find areas of trapeziums, rhombuses and kites (ACMMG196) Total pages: 28 (Covers + Tasks + Answers) Geometry Resources: Math Manipulatives Part 2 flipbook about the Trapezium Area Geometry | The Angle Sum of a Triangle | Printable Activity

Math Manipulatives Part 2 flipbook about the Trapezium Area A series of fun activities to practice using different types of 2D shapes to prove and establish the trapezium area formula. This activity will help students to practise working mathematically, applying strategies and reasoning involving 2D shapes. understand the relationship between shapes and areas. improve problem-solving skills and understanding of mathematical language and notation. develop critical thinking skills and the ability to identify patterns and apply mathematical principles to real-world problems. Task 1: To find the area of a trapezium using a triangle area. Task 2: To find the area of a trapezium using a parallelogram area. Task 3: To prove the area of a trapezium is the area sum of a rectangle and a triangle. Skill Level: Easy Grades: 6th to 9th Learning Outcomes: Demonstrate that the trapezium area is the average length of its parallel sides multiplied by the perpendicular height. A = h/2(a + b) Apply strategies, reasoning and mathematical methods using other two-dimensional shapes to find the trapezium area. Australian Curriculum: Manipulate, classify and draw two-dimensional shapes, including equilateral, isosceles and scalene triangles and describes their properties (MA3-15MG). Recognise and explain mathematical relationships using reasoning (MA4-3WM). Apply appropriate mathematical techniques to solve problems (MA4-2WM) Communicate and connect mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM) Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159) Find areas of trapeziums, rhombuses and kites (ACMMG196) Total pages: 32 (Covers + Tasks + Answers) Geometry Resources: Math Manipulatives Part 1 flipbook about the Trapezium Area Geometry | The Angle Sum of a Triangle | Printable Activity

AREA OF COMPOSITE SHAPES ACTIVITY Math Challenge Activity- to keep your learners engaged, thinking critically and making connections to 2D shapes. This activity requires learners to determine the area of circles and squares based on the given dimensions. It also encourages them to think creatively and come up with mathematical strategies to solve unknown lengths and compare the areas of circles and squares and shaded parts. The aim of this activity is to: Increase their fluency and confidence in geometry and measurements Develop understanding of a variety of problems with 2D shapes. Step-by-step solutions are also included. Grades: 6th to 9th Learning Outcomes: Solve problems involving the area of circles and squares. Calculate the area of composite shapes. Determine the ratio of square area to circle area. Determine the ratio of shaded areas. Also comply with Australian Curriculum: Calculate areas of composite shapes (ACMMG216) Critical Thinking Problems: Area of Composite Shape-Critical thinking Activity-Math Challenge 1 Area of Composite Shape-Critical thinking Activity-Math Challenge 2 Area of 2D Shapes-Critical thinking Activity-Math Challenge 3

AREA OF 2D SHAPES ACTIVITY Math Challenge Activity- to keep your learners engaged, thinking critically and making connections to 2D shapes. This activity requires learners to Determine which shape has complete dimensions to calculate its area Calculate the area of the other shapes including their type. Find the exact value of each pronumeral. The activity encourages them to think creatively and come up with mathematical strategies to solve unknown lengths. The aims of this activity are to: Increase their fluency and confidence in geometry and measurements Develop understanding of a variety of problems with 2D shapes. Step-by-step solutions are also included. Grades: 6th to 9th Learning Outcomes: Solve problems involving the area of 2D Shapes. Find the unknown lengths (Critical Thinking) Also comply with Australian Curriculum: Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving (ACMMG159) Critical Thinking Problems: Area of Composite Shape-Critical thinking Activity-Math Challenge 1 Area of Composite Shape-Critical thinking Activity-Math Challenge 2 Area of 2D Shapes-Critical thinking Activity-Math Challenge 3

Area of Circles Colouring Activity Years: 6 to 8 Make circle area practice fun and engaging with this colour‑by‑numbers activity. Students calculate the area using A = πr², round to the nearest tenth, and use the last digit of each answer to colour the mystery picture. Perfect for warm‑ups, early finishers, sub plans, or geometry review. What’s Included: Area of Circles practice page Colour‑by‑code page Student‑friendly instructions Answer key Skills Covered: Using A = πr² Understanding radius and diameter Rounding to the nearest tenth Applying geometry in a fun, low‑stress format Ideal for KS3/ Years 6–8 Geometry. Curriculum Alignment KS3 Geometry & Measures Derive and apply the formula for the area of a circle. Use π in calculations. Solve problems involving circles.

Trigonometric problem and step-by-step solutions. (Working Mathematically and Critical Thinking) Solving trigonometric problems using the sine rule, the cosine rules and geometrical properties of triangles and quadrilaterals. Students think critically to demonstrate knowledge: Using the sine rule and the cosine rule to solve trigonometry problems. Using geometrical properties of triangles and quadrilaterals to solve problems. Finding the area of a parallelogram using the area formula of triangle and parallelogram. Also comply with Australian Curriculum: Apply Pythagoras’ theorem, trigonometric relationships, the sine rule, the cosine rule and the area rule to solve problems, including problems involving three dimensions (MA5.3-15MG) Establish the sine, cosine and area rules for any triangle and solve related problems (ACMMG273-10a )

Algebraic Puzzles in Geometric Shapes and Step-by-Step Solutions Algebraic puzzles to keep your learners engaged in algebra and measurement learning. The learners use perimeter and area formulas for 2D shapes and apply algebraic techniques such as the balancing method to complete each puzzle. Puzzle A: find the expression for unknown lengths. The perimeter (P ) of each shape is given and each variable (letter) has a distinct value. Puzzle B: find the expression for unknown lengths. The area (A ) of each shape is given and each variable (letter) has a distinct value. Grades: 7th to 10th Learning Outcomes: Use the formulas for the perimeter and area of two-dimensional shapes in problem-solving Create algebraic expressions and evaluate them by substituting a given value. Solve linear equations using algebraic techniques. Also comply with Australian Curriculum Introduce the concept of variables as a way of representing numbers using letters (ACMNA175). Communicate and connect mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM). Solve simple linear equations (ACMNA179). Solve linear equations using algebraic techniques and verify solutions by substitution (ACMNA194). Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving (ACMMG159) More Algebra Resources: Algebra

Back to school Freebie :) Identifying Significant Figures: 4 tasks (40 questions) for students to practise about significant figures: Determine the number of significant figures for the given numbers. Short answer questions to check students’ understanding of significant figures. Level of Difficulty: Beginner (Easy) Grades: 8th to 10th Geometry Resources: Trapezium Area: Lesson Notes + Worksheets + Answers Solving Trapezium Problems Math Manipulatives Part 1 flipbook about the Trapezium Area Geometry | The Angle Sum of a Triangle | Printable Activity More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Measurement and Geometry Visit my shop :)

Times Tables ×1 to ×5 Colouring Activity to practise times tables 1 × 1 to 10 × 5 and colouring activity using colour codes. Easy classroom preparation: Just print and fold the pages to make folded booklets. Grades: 2nd to 5th Learning Outcomes: Practise multiplication facts 1 × 1 to 10 × 5. Also suitable for Australian Curriculum: Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075) More Resources: Colouring Pages Fun Activity Topics: Numbers Times Table Fractions Decimals Percentages Area 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 :)

Grades: 10th to 12th Financial Mathematics Problem Solving can be used for: Assessment: As a formal task to evaluate student understanding. Revision: For targeted practice and review. As Exam Question The marking scheme is editable. Feel free to adjust it to your preferred criteria or school requirements. Focus Area: Reducing Balance Loans (Loan Repayments) To assess students’ understanding of reducing balance loan calculations, include: Determining the time required to repay a loan based on the interest rate and fixed repayment amount. Calculating the monthly repayment needed to pay off a loan within a specified time frame. Skill Development: Applying algebraic techniques to solve financial problems. Using geometric progressions to model loan repayments. Rounding money to the nearest cent. Converting interest rates and time periods between different formats. Learning Outcomes: Use a recurrence relation to model a reducing balance loan and investigate the effect of the interest rate and repayment amount on the time taken to repay the loan. Solve problems involving reducing balance loans; for example, determining the monthly repayments required to pay off a loan. Also comply with Australian Curriculum: Use a recurrence relation to model a reducing balance loan and investigate (numerically or graphically) the effect of the interest rate and repayment amount on the time taken to repay the loan (ACMGM097) With the aid of a financial calculator or computer-based financial software, solve problems involving reducing balance loans; for example, determining the monthly repayments required to pay off a housing loan. (ACMGM098)

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 :)

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 :)