F-10 Curriculum (V8)
F-10 Curriculum (V9)
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This sequence of lessons explores the geometry of similar triangles using two real world objects: ironing boards and pantographs. In the first lesson, students investigate different ironing board leg lengths and pivot positions using similar and congruent triangles. In the second lesson, they use their knowledge of parallelogram ...
This lesson explores different shapes that can be formed by cutting a trapezium in two with one straight line. Students are challenged to classify and name the shapes that are made, and justify their classifications based on the definitions and properties of shapes. The lesson is outlined in detail including curriculum ...
In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...
This is a website designed for both teachers and students that introduces congruence of shapes in the plane through transformations. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are used to define congruence and to identify congruent shapes. The four congruence ...
This series of six lessons explores geometry proofs using real world contexts focused on the dynamics of linkages and moving joints. Students use physical models and computer simulations, the lessons move from a view of geometry as a study to static diagrams to encompass movement. Each lesson is outlined in detail including ...
This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...
This series of six lessons explores geometry using real world contexts focussed on the dynamics of linkages and moving joints of everyday tools and objects. Students use physical models and computer simulations, the lessons move from a view of geometry as a study static diagrams to encompass movement. Each lesson is outlined ...
This sequence of lessons explores the geometry of angles using real world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, supported by using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical ...
This is a website designed for both teachers and students, which addresses similarity from the Australian Curriculum for year 9 students. It contains material on enlargement transformation and similar triangles. There are pages for both teachers and students. The student pages contain interactive questions for students ...
In this lesson, students study the concept of triangle inequality, which determines if three positive numbers can serve as the side lengths of a triangle. Students experiment with various combinations of three natural numbers. They investigate whether these numbers can form a triangle and classify and construct the corresponding ...
In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.
This five lesson unit of work focuses on the area of shapes. Students establish and use the formulas for the area of rectangles, parallelograms, and triangles, including applications to find areas of L-shapes and other compound shapes and surface areas of rectangular and triangular prisms and cubes. The unit includes a ...
This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...
This planning resource for Year 9 is for the topic of Transformation. Students explore and develop their understanding of the enlargement transformation using dynamic geometry software. They will investigate what changes and what remains the same when a shape or object is enlarged. Students will look for patterns in the ...
This planning resource for Year 7 is for the topic of Angles and parallel lines. Students identify corresponding, alternate and co-interior angles on parallel lines crossed by a transversal (a line that intersects two or more parallel lines).
This planning resource for Year 7 is for the topic of Shapes and objects. Students build on their knowledge of two-dimensional shapes. They classify triangles according to their side length (scalene, isosceles, equilateral) and their angle properties (right, acute, obtuse). Students identify and describe different quadrilaterals ...
Students identify a variety of three-sided shapes and describe the features of all triangles.
This planning resource for Year 8 is for the topic of Shapes and objects. Students begin to explore geometric properties and proof. They identify the properties of quadrilaterals based on transformation, angles, parallel sides, side lengths, diagonals and symmetry.
This planning resource for Year 7 is for the topic of Area and perimeter. Students should be familiar with the concept of area and how to find the area of a rectangle. They will extend this knowledge to find the formulas for the areas of other shapes, such as a parallelogram and triangles.
This eight lesson unit of work focuses on congruence. Students explore the congruence of lengths, angles, and shapes, determine the congruence of triangles and shapes using appropriate tests including with algorithms and determine the size of unknown corresponding parts and finally solve problems involving congruence through ...