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Constructing Loci and Equidistant Paths

Constructing Loci and Equidistant Paths

Students learn how to construct loci and equidistant paths using angle bisectors and construction techniques. There are several examples provided for the teacher to demonstrate as well as for the students to consolidate their learning. Differentiated Learning Objectives All students should be able to construct angle bisectors to identify an equidistant path between two lines. Most students should be able to perpendicular bisectors to identify an equidistant path between two points. Some students should be able to combine loci to identify regions or points within a given area. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Constructing Loci and Regions

Constructing Loci and Regions

Students learn how to construct the locus of a region by considering loci about a point and line. Learning is extended through the lesson by considering combinations of loci to identify certain regions. Differentiated Learning Objectives All students should be able to determine the locus around a point. Most students should be able to determine the locus about a line. Some students should be able to determine the locus about a point and line. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Constructing Angle Bisectors

Constructing Angle Bisectors

Students learn how to construct angle bisectors using a pair of compasses and a straight edge. The lesson covers bisecting acute, obtuse and right angles to constructing perpendicular bisectors and reflex angles. Differentiated Learning Objectives All students should be able to construct an acute angle bisector. Most students should be able to bisect an acute, obtuse, right angle and straight line. Some students should be able to find the equidistant point in a polygon using angle bisectors. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Constructions – Side, Angle, Side

Constructions – Side, Angle, Side

Constructions - Side, Angle, Side: Students learn how to construct triangles and other polygons using a ruler and protractor when an angle is given between two sides. As learning progresses they construct more complex shapes by considering their triangular components. Differentiated Learning Objectives All students should be able to construct a triangle using a pair of compasses, protractor and ruler. Most students should be able to construct a quadrilateral using a pair of compasses, protractor and ruler. Some students should be able to construct a polygon using a pair of compasses, protractor and ruler. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Constructions – Side, Side, Side

Constructions – Side, Side, Side

Constructions - Side, Side, Side: Students learn how to construct triangles and other polygons using a pair of compasses and straight edge given the length of all the sides in the polygon. Differentiated Learning Objectives All students should be able to construct a triangle using a pair of compasses and straight edge. Most students should be able to construct a quadrilateral using a pair of compasses and straight edge. Some students should be able to construct compound circular and triangular shapes using a pair of compasses and straight edge. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Constructions – Angle, Side, Angle

Constructions – Angle, Side, Angle

Students learn how to construct triangles and polygons using a protractor and straight edge when given a length between two know angles. Differentiated Learning Objectives All students should be able to construct a triangle using a protractor and straight edge. Most students should be able to construct a quadrilateral and pentagon using a protractor and straight edge. Some students should be able to construct a regular polygon using a protractor and straight edge. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Area of Parallelograms and Trapezia

Area of Parallelograms and Trapezia

Students learn how to calculate the area of parallelograms and trapeziums by considering how a parallelogram can form a rectangle and a trapezium a rectangle and triangle. Using this knowledge they derive the formulae for their respective areas. As the lesson progresses there is opportunity to apply these formulae to calculate the areas. Differentiated Learning Objectives All students should be able to calculate the area of a parallelogram using the formula Most students should be able to calculate the area of a parallelogram and trapezium using the formulae. Some students should be able to calculate the area of compound shapes involving parallelograms and trapeziums. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Area of Irregular Shapes

Area of Irregular Shapes

Students learn how to find the area of irregular shapes by grouping. As learning progresses they are challenged to consider the range of accuracy for their solutions and more complex irregular areas. An accompanying worksheet that matches the interactive whiteboard presentation is included to aid pace. Differentiated Learning Objectives All students should be able to measure an irregular area involving non rectilinear polygons. Most students should be able to measure an irregular area of shapes with curved edges. Some students should be able to measure a irregular areas of compound shapes. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Perimeter of Shapes Foundation GCSE Lesson

Perimeter of Shapes Foundation GCSE Lesson

Students learn how to measure the perimeter of 2D shapes. by counting and later by creating and using a formula. As learning progresses they area challenged to consider the perimeters of regular and composite shapes. Differentiated Learning Objectives All students should be able to measure the perimeter of a shape by counting. Most students should be able to calculate the perimeter of a shape. Some students should be able to solve problems involving the perimeter of a shape. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Area of Sectors

Area of Sectors

Students learn how find calculate the area of sectors using both calculator and non-calculator methods. As learning progresses they calculate the area of composite shapes involving sectors. Differentiated Learning Objectives All students should be able to calculate the area of a major and minor sector. Most students should be able to calculate the area of compound shapes involving sectors. Some students should be able to calculate the angle or radius of a sector when given the area Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Arc Length of Sectors

Arc Length of Sectors

Students learn how to calculate the arc length of a sector by considering it as a proportion of a complete circle. As learning progresses they use calculator and non-calculator methods to solve more complex problems. Differentiated Learning Objectives All students should be able to calculate the arc length of a major and minor sector. Most students should be able to calculate the perimeter around a sector. Some students should be able to calculate the perimeter of compound shapes involving sectors Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics

Area of Compound Shapes GCSE Mathematics Full Lesson

Area of Compound Shapes GCSE Mathematics Full Lesson

Students learn how to calculate the area of compound rectilinear shapes by splitting the shapes up into two or more rectangles and then calculating the sum. Differentiated Learning Objectives All students should be able to determine the area of a compound rectilinear shape by counting. Most students should be able to determine the area of a compound rectilinear shape by calculating. Some students should be able to determine possible perimeters when given the area of a compound rectilinear shape. Mr Mathematics’ annual members have instant access to all lessons across Key Stage 3 and 4. Termly GCSE assessments are also available to monitor student’s progress. Visit mr-mathematics for * Fully planned and differentiated maths lessons for the GCSE 9 - 1 and new Key Stage 3 specification * Schemes of work based on pedagogy and teacher support for Key Stage 3 and 9 – 1 GCSE courses. Follow me on twitter for updates on new lessons available at http://mr-mathematics.com @mr_mathematics.

By Mr_Mathematics