* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date:
Lie sphere geometry wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Algebraic geometry wikipedia , lookup
Event symmetry wikipedia , lookup
Cartan connection wikipedia , lookup
History of trigonometry wikipedia , lookup
Mirror symmetry (string theory) wikipedia , lookup
Multilateration wikipedia , lookup
Approximations of π wikipedia , lookup
Rational trigonometry wikipedia , lookup
Analytic geometry wikipedia , lookup
Geometrization conjecture wikipedia , lookup
Euclidean geometry wikipedia , lookup
Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: Fetac Mathematics Level 4 Code 4N1987 Geometry Brief Name: Date Received: Page | 1 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2 GEOMETRY Description of contents. 2.1 Describe simple geometric shapes associated with the home and workplace 2.2 Recognize folding symmetry and rotational symmetry in common shapes 2.3 Plot graphs of ordered pairs in the coordinate plane showing the relationship between two variables, using real life situations and the correct terminology 2.4 Use formulae for calculations in the coordinate plane correctly, including distance between two points, mid-point of a line segment, slope of a line, parallel lines, perpendicular lines, equation of a line, equation of a circle with centre (0,0) and radius r, and tangent to a circle 2.5 Construct, using drawing instruments, a variety of angles and simple geometric shapes to given criteria to include naming of angle types and sides associated with the shapes and angles 2.6 Solve practical problems by using the correct formula(e) to calculate the area and perimeter of a square, rectangle, triangle, and circle, giving the answer in the correct form and using the correct terminology 2.7 Solve practical problems by using the correct formula(e), to calculate the volume/capacity and surface area of a cube, cuboid, cylinder, cone, and sphere, giving the answer in the correct form and using the correct terminology 2.8 Apply standard axioms and theorems of geometry, including Pythagoras Theorem, to solve real life or simulated problems involving straight lines, parallel lines, angles, and triangles. Page | 2 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.1 Describe simple geometric shapes associated with the home and workplace 2.1.1 Discussion questions: Why are manhole covers mostly circular? Why are most window panes rectangular? 2.1.2 We use the language of geometry to describe the shape of objects. Name some household or workplace object whose shape could be described by each of the following terms Square Circular Rectangular Triangular Cube shaped Cone shaped Cylindrical Page | 3 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.2 Recognize folding symmetry and rotational symmetry in common Shapes On the following shapes, mark the axis of folding symmetry and the axis of rotational symmetry. Page | 4 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.3 Plot graphs of ordered pairs in the coordinate plane showing the relationship between two variables, using real life situations and the correct terminology In this section we wish to graph some real life data. The graph should have a caption, and both axes should be labeled appropriately. A brief descrition of how the data was collacted should be included. Three possible data collection exercises are given below, other data collection exercises may be used if your tutor agrees. Suggestion 1 Gather data on the drop in temperature a a container of hot water cools. Suggested apparatus a cup of boiling or close to boiling water, a thermometer, and some method for keeping track of time. Sugestion 2 Measure the loss in weight of a candle or set of candles as they burn. Suggested apparatus: four night lights, and a digital weighting scales. The weight loss should be recorded over a period of half an hour or so Suggestion 3 Light levels are measured moving away from a light source, and both the light level and the distance are recorded and ploted. Page | 5 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.4 Use formulae for calculations in the coordinate plane correctly, including distance between two points, mid-point of a line segment, slope of a line, parallel lines, perpendicular lines, equation of a line, equation of a circle with centre (0,0) and radius r, and tangent to a circle Page | 6 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.5 Construct, using drawing instruments, a variety of angles and simple geometric shapes to given criteria to include naming of angle types and sides associated with the shapes and angles Page | 7 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.6 Solve practical problems by using the correct formula(e) to calculate the area and perimeter of a square, rectangle, triangle, and circle, giving the answer in the correct form and using the correct terminology Page | 8 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.7 Solve practical problems by using the correct formula(e), to calculate the volume/capacity and surface area of a cube, cuboid, cylinder, cone, and sphere, giving the answer in the correct form and using the correct terminology Page | 9 Fetac Mathematics Level 4 Code 4N1987 Geometry Name : Date: 2.8 Apply standard axioms and theorems of geometry, including Pythagoras Theorem, to solve real life or simulated problems involving straight lines, parallel lines, angles, and triangles. Page | 10