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 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

Surds (Radicals) Activity to practise simplifying, comparing and arranging surds. Surds worksheets and colouring pages to practise surds in a fun way. 6 tasks plus solutions Easy classroom preparation: Just print then fold the pages. Skills Level: Beginner (Easy) Grades: 8th to 12th Learning Outcomes: Simplifying surds (Writing surds in simplest form). Comparing surds. Arranging surds. There are two versions: American English and British (Australian) English. Also comply with Australian Curriculum: Define rational and irrational numbers and perform operations with surds (ACMNA264) 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 Visit my shop :)

Scaffolded Note about how to calculate wages and salaries for various time periods and overtime. Grades: 9th to 12th Learning Outcomes: Calculate earnings from wages and salaries for various time periods, including increased rates for overtime. Find the equivalent number of hours worked at normal pay. Also comply with Australian Curriculum: Calculate weekly or monthly wage from an annual salary, wages from an hourly rate (ACMGM002) More Resources Topics: Numbers Times Table Fractions Decimals Percentages Significant Figures Consumer Maths Financial Maths Algebra Measurement and Geometry Colouring Pages Fun Activity Visit my shop :)

A video lesson (about 8 minutes) to learn the introduction to Pythagoras’ Theorem. The Video Lesson shows step by step how the Pythagoras’s Theorem works for right angled triangles. Grades: 8th to 10th Learning Outcomes: • Identify the hypotenuse in a right-angled triangle • Understand the relationship between the side lengths of a right-angled triangle • Understand Pythagoras’ theorem for right-angled triangles • Use Pythagoras Theorem to find the length of the hypotenuse given the other two sides • Use Pythagoras Theorem to find a side of a right-angled triangle given one side and the hypotenuse Teaching Idea: Teacher explains the Pythagoras’ Theorem using the video lesson (about 8 minutes) Alternative way: students just watch the video lesson. Also comply with Australian Curriculum: Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222) Apply Pythagoras’ theorem to solve problems (ACMEM116) 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 Visit my shop :)

Pythagoras’ Theorem workbook (Notes, worksheets & activity) to learn about Pythagoras’ Theorem and using Pythagoras’ Theorem to find the length of an unknown side in a right-angled triangle. The workbook comes in 2 styles. Style 1: Cover, fill in the blank notes, worksheets and activity. Style 2: Cover, completed notes, worksheets and activity. Total pages in each workbook: 15 Easy classroom preparation: Just print and staple all pages together to make a workbook. Solutions for the worksheets are also included. Level of Difficulty: Beginner (Easy) Grades: 8th to 11th Learning Outcomes: • Identify the hypotenuse in a right-angled triangle • Understand the relationship between the side lengths of a right-angled triangle • Understand Pythagoras’ Theorem for right-angled triangles • Use Pythagoras’ Theorem to find the length of the hypotenuse given the other two sides • Use Pythagoras Theorem to find a side of a right-angled triangle given one side and the hypotenuse PAIR ACTIVITY: • Describe the relationship between the sides of a right-angled triangle (Working Mathematically, Communicating and Reasoning - Critical and Creative Thinking). Also comply with Australian Curriculum: Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222) Apply Pythagoras’ theorem to solve problems (ACMEM116) 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 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 :)

Student flip-book contents lesson note, worksheets and answer keys about percentages lesson. Students make a connection between twenty-five percent and 1/4. calculate fifty percent of an amount (with diagrams) calculate fifty percent of money calculate fifty percent of an amount with unit (such as mass units e.g. kilograms and grams and capacity units e.g. liters and milliliters) The resource is in two versions: in colors and black and white.

Student flip-book contents lesson note, 4 worksheets and answer keys about percentages lesson. Learning Outcomes: Students make a connection between fifty percent and 1/2. calculate fifty percent of an amount (with diagrams) calculate fifty percent of money calculate fifty percent of an amount with unit (such as mass units e.g. kilograms and grams and capacity units e.g. liters and milliliters). The resource is in two versions: in colors and black and white.

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

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

Consumer Math flipbooks help students learn and understand methods of purchasing goods with cash or on a lay-by plan. The flipbook comes in 2 styles. Style 1: Cover, fill in the blank notes and worksheets Style 2: Cover, completed notes and worksheets Total pages in each flipbook: 13 Easy classroom preparation: Just print and glue each page in students’ notebooks or staple all pages together to make a flipbook. Answer keys and students’ folded notes are also included. Level of Difficulty: Beginner (Easy) Grades: 5th to 9th Key learning: Solve financial problems involving purchasing goods (with cash or a lay-by plan) Calculate the amount saved by paying cash. Understand the lay-buy (lay-by) method Finding the discount or deposit as a percentage of the marked price Finding the original (market) price Calculate the lay-buy deposit. Calculate each instalment on lay-buy. Australian Curriculum: Solve financial problems involving purchasing goods (MA4-6NA) Apply appropriate mathematical techniques to solve problems (MA4-2WM) Calculate a percentage of a given amount (ACMEM011) Determine one amount expressed as a percentage of another (ACMEM012) 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 :)

Christmas Colouring page - FREEBIE A fun classroom activity to practise the order of mathematical operations. Students practice adding, subtracting, multiplying and dividing numbers using BODMAS or PEMDAS rules and colouring the page. The answer key is also included. Level of Difficulty: Beginner (Easy) Grades: 4th to 8th Learning Outcomes: Apply the order of operations to perform calculations involving more than one operation. Also suitable for Australian Curriculum Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123) 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 :)

This resources is designed for students’ scaffolded note about angles properties and naming angles. Level of Difficulty: Beginner (Easy) Grades: 5th to 8th Learning Outcomes: • identify the ‘arms’ and ‘vertex’ of an angle • Learn to name an angle in four different ways 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 :)

This resource contains two worksheets of Make numbers. Students use the mathematical operations such as addition, subtraction, multiplication and division to make the target numbers: 5 and 15. Level of Difficulty: Easy Grades: 3rd - 8th 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 :)