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 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
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
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
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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
Visit my shop :)
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 rounding decimal worksheets and answers.
Level of Difficulty: Beginner
Grades: 5th to 8th
Learning Outcomes:
Use place value understanding to round decimals to any place.
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 :)
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 :)
This resource contains ten Worksheets of Make numbers.
Students use the mathematical operations such as addition, subtraction, multiplication and division to make the target numbers: 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100.
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 :)
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 :)
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 :)
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
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 :)
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 :)
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 :)
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 :)
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 and Subtracting Like Fractions:
4 Tasks in 2 pages for students to practise adding and subtracting like fractions (same denominators) then express the answers in simplest fractions.
They also use the given diagrams to show the answers by dividing the diagrams into equal parts and colouring the diagrams.
Level of Difficulty: Beginner (Easy)
Grades: 4th to 7th
Learning Outcomes:
Adding and 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 :)
This resource contains 4 worksheets and answers in a pdf file.
Teachers can use this resource as a revision or homework about adding and subtracting fractions with like denominators.
Level of Difficulty: Beginner (Easy)
Grades: 2nd to 5th
**Learning Outcomes: **
Practise to add and subtract fractions with like denominators
Write fractions in 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 :)