Measurement and Geometry Bundle about Area of Trapeziums
The bundle includes:
Math Manipulatives Part 1 for the Trapezium Area
Math Manipulatives Part 2 for the Trapezium Area
Area of Trapeziums | Notes & Worksheets
Solving Trapeziums Problems
A series of fun activities 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.
More Resources:
Fractions
Decimals
Percentages
Meaurement and Geometry
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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
Practise calculating 10%, 50% and 25% of the given amounts and colouring activity.
Students find the answers then colour each object with the colour matching the answer.
Answer keys is included.
Level of Difficulty: Beginner (Easy)
Grades: 4th to 8th
Learning Outcomes:
Practise 10%, 25% and 50% of amounts
Australian Curriculum:
Find percentages of quantities and express one quantity as a percentage of another, with and without the use of digital technologies (ACMNA158)
More Resources:
Colouring Pages
Fun Activity
Topics:
Numbers
Times Table
Fractions
Decimals
Percentages
Significant Figures
Consumer Maths
Financial Maths
Algebra
Measurement and Geometry
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THE ANGLE SUM OF A TRIANGLE
~ Working mathematically & Applying strategies and reasoning ~
Skill Level: Easy
Grades: 7th to 9th
Printable activity to practise working mathematically, applying
strategies and reasoning to prove that the angle sum of a
triangle is 180°.
Tasks 1A and 1B: Draw, cut and glue - manipulative activity
Prove the sum of angles in a triangle is 180°.
Tasks 2A and 2B: Drawing and measuring activity
Use parallel lines to prove that the angle sum of a triangle is
180°.
Learning Outcomes:
Demonstrate that the angle sum of a triangle is 180°
Recognise and explain mathematical relationships using angles in parallel lines to prove the angle sum of a triangle is 180°.
More Resources:
Colouring Pages
Fun Activity
Topics:
Numbers
Times Table
Fractions
Decimals
Percentages
Significant Figures
Consumer Maths
Financial Maths
Algebra
Measurement and Geometry
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Algebra worksheets and answers to
practise simplifying algebraic expressions that involve multiplication and division.
introduce the index law of multiplication.
Level of Difficulty: Beginner (Easy)
Grades: 7th to 9th
Also suitable for Australian Curriculum
Simplify algebraic expressions involving the four operations (ACMNA192)
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 :)
Right Triangle Trigonometry Exit Ticket
~ Crack the Code & Escape the Tunnel! ~
Grades: 9th to 10th
A fun and engaging Trigonometry Exit Ticket where students use trig ratios (sine, cosine, tangent) to solve right triangles and crack the tunnel code.
Perfect for quick checks, warm-ups, stations, or end-of-lesson review.
Covers sine, cosine, tangent, and special angles (30°, 45°, 60°).
A fun, confidence-boosting way to assess understanding!.
No prep — just print and go!
Included in This Resource:
Trigonometry Ratios Worksheets & Working Space
Trigonometry Tunnel Exit Tickets
Step by Step Solutions
Learning Outcomes:
Identify the base, altitude, hypotenuse, adjacent, and opposite sides in any right‑angled triangle.
Recognise that the sine, cosine, and tangent ratios remain constant for a given angle in right‑angled triangles, using properties of similarity.
Apply trigonometric ratios (SOH CAH TOA) to solve right‑angled triangle problems, including finding unknown sides and unknown angles.
Also comply with
Australian Curriculum:
Apply trigonometry to solve right-angled triangle problems (ACMMG224)
Develop and apply trigonometric ratios to solve problems involving similar right-angled triangles. (AC9M9SP01)
Key Stage 3 Geometry & Measures & GCSE— using trigonometric ratios in right-angled triangles to solve problems.
CCSS HSF-TF.A.3
Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–𝘹, π+𝘹, and 2π–𝘹 in terms of their values for 𝘹, where 𝘹 is any real number.
CCSS HSG-SRT.C.7
Explain and use the relationship between the sine and cosine of complementary angles.
CCSS HSG-SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
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
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Practice calculating 10%, 50% and 25% of the given amounts and coloring activity.
Students find the answers then color each object with the color matching the answer.
Answer keys is included.
Level of Difficulty: Beginner (Easy)
Grades: 4th to 8th
Outcomes: Students practise 10%, 25% and 50% of amounts
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 :)
Subtracting Like Fractions:
2 Tasks in 1 page for students to practise subtracting like fractions (same denominators) then express the answers in simplest fractions and color the diagrams to show the answers.
Level of Difficulty: Beginner (Easy)
Grades: 4th to 7th
**Learning Outcomes: **
• Subtracting like fractions (Same denominators)
• Writing fractions in their simplest form.
• Using diagrams to demonstrate fractions.
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 :)
Adding Like Fractions:
2 Tasks in 1 page for students to practise adding like fractions (same denominators) then express the answers in simplest fractions and color the diagrams to show the answers.
Level of Difficulty: Beginner (Easy)
Grades: 4th to 7th
**Learning Outcomes: **
• Adding like fractions (Same denominators)
• Writing fractions in their simplest form.
• Colour the given diagrams to show the fractions.
Other Resources about Fractions:
Fractions
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 :)
A fun classroom activity to practise connects fractions, decimals & percentages.
Students colour the matching fraction, decimal & percentage with the same colour.
The answer key is also included.
The activity in two formats: Printable and PowerPoint and in British and American English.
Skills Level: Beginner (Easy)
Grades: 4th to 8th
Learning Outcomes:
– Connect fractions, decimals and percentages and carry out simple conversions.
Also comply with Australian Curriculum:
Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)
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
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This resource contains worksheets and answers about rounding multi-digit numbers to the nearest any place value.
Level of Difficulty: Beginner
Grades: 5th to 8th
Learning Outcomes:
• Use place value understanding to round whole numbers to the nearest whole number, 10, 100, 1000 or up to million.
Also suitable for Australian Curriculum
Round decimals to a specified number of decimal places (ACMNA156)
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 :)
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 :)
Area of Rectangles lesson notes, worksheets, homework, activity and answers in one bundle
The bundle includes:
AREA OF RECTANGLES WORKBOOK
AREA OF RECTANGLES ACTIVITY
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)
Measurement and Geometry
Area
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Decimal Mazes is a fun activity to practise adding and subtracting decimals.
All mazes have the same target number which is 100.
Students complete each maze by finding the correct number for each blank box.
Answer keys are also included.
The PowerPoint is editable, teachers can change the numbers to make more decimals mazes.
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 :)
Fun activities to learn fractions with colouring pages
**Adding & Subtracting Unlike Fractions: **
2 Fraction Mazes with 44 questions for students to practise adding & subtracting unlike fractions (Different denominators) then express the answers in simplest fractions.
The resource is in Printable (pdf) and PowerPoint Slides
Teaching Ideas:
Students work individually or in pairs to complete the fraction mazes then they swap their page with their friend or another pair to check the answers.
Level of Difficulty: Beginner (Easy)
**Grades: **5th to 8th
Learning Outcomes:
Adding and subtracting unlike fractions (Different denominators)
Writing fractions in their simplest form.
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 :)
Printable worksheets and PowerPoint slides to practise times table 1 × 1 to 10 × 12.
The Times table drills with two versions: with timer and without timer.
Grades: 2nd to 5th
Learning Outcomes:
Practise multiplication facts 1 × 1 to 10 × 12.
Also suitable for Australian Curriculum:
Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)
Other Resources about Times Tables
Times Tables Worksheets and PowerPoint
Times Tables Video and PowerPoint
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 :)