Master: Geometry & Trigonometry

Master: Geometry & Trigonometry

Course Modules

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1. Explain concepts relating to geometry; Point, line, parallel lines, intersecting lines and perpendicular lines, line segment, ray, curve, plane, angle (acute, obtuse, reflex, right angle, straight angle), face, edge, vertex.
 
Move done incomplete Curriculum Requirements for Specific Objective 1 Curriculum Requirements for Specific Objective 1
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Move done incomplete Identify the vertex and the sides that form each angle (Mathworksheets4kids) Identify the vertex and the sides that form each angle (Mathworksheets4kids)
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Move done incomplete Naming angles (Mathworksheets4kids) Naming angles (Mathworksheets4kids)
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Move done incomplete Identify acute, obtuse or right angle (Mathworksheets4kids) Identify acute, obtuse or right angle (Mathworksheets4kids)
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Move done incomplete Geometry (Mastering Mathematics) Geometry (Mastering Mathematics)
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Move done incomplete Geometry Lines and Angles - book extract The Next Step (New Brunswick Community College) Geometry Lines and Angles - book extract The Next Step (New Brunswick Community College)
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Move done incomplete Introduction Geometry parallel lines (Everything Maths) Introduction Geometry parallel lines (Everything Maths)
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2. Draw and measure angles and line segments accurately using appropriate geometrical instruments.
 
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Move done incomplete Draw and measure angles and line segments accurately - book extract The Next Step (New Brunswick Community College) Draw and measure angles and line segments accurately - book extract The Next Step (New Brunswick Community College)
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Move done incomplete Construction worksheets with step by step instructions (Math Open Reference) Construction worksheets with step by step instructions (Math Open Reference)
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Move done incomplete Construct shapes (NOSTT) Construct shapes (NOSTT)
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3. Construct lines, angles, and polygons using appropriate geometrical instruments; parallel and perpendicular lines, triangles, quadrilaterals, regular and irregular polygons. Angles to be constructed include 30, 45, 60, 90, 120.
 
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Move done incomplete Construct parallel and perpendicular lines, line segments, angles - book extract The Next Step (New Brunswick Community College) Construct parallel and perpendicular lines, line segments, angles - book extract The Next Step (New Brunswick Community College)
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Move done incomplete Construction (amsi.org.au) Construction (amsi.org.au)
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Move done incomplete Construct a 30 degree angle with compass and ruler (Math Open Reference) Construct a 30 degree angle with compass and ruler (Math Open Reference)
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Move done incomplete Construct 45 degree angle with compass and ruler (Math Open Reference) Construct 45 degree angle with compass and ruler (Math Open Reference)
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Move done incomplete Construct 60 degree angle with compass and ruler (Math Open Reference) Construct 60 degree angle with compass and ruler (Math Open Reference)
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Move done incomplete Construct 90 degree angle with compass and ruler (Math Open Reference) Construct 90 degree angle with compass and ruler (Math Open Reference)
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Move done incomplete Construct a triangle given 2 angles and the included side (Math Open Reference) Construct a triangle given 2 angles and the included side (Math Open Reference)
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Move done incomplete How to construct Hexagon given one side (Math Open Reference) How to construct Hexagon given one side (Math Open Reference)
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4. Identify the type(s) of symmetry possessed by a given plane figure; line(s) of symmetry, rotational symmetry, order of rotational symmetry.
 
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Move done incomplete Lines of symmetry (CK-12) Lines of symmetry (CK-12)
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Move done incomplete Identify Lines of Symmetry in Figures and Objects (Open High School) Identify Lines of Symmetry in Figures and Objects (Open High School)
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Move done incomplete Symmetry (Commonwealth of Learning) Symmetry (Commonwealth of Learning)
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Move done incomplete Order of rotational symmetry - (mkyou2tube on YouTube) Order of rotational symmetry - (mkyou2tube on YouTube)
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5. Solve geometric problems using properties of: (a) lines, angles, and polygons; Vertically opposite angles, alternate angles, adjacent angles, corresponding angles, co-interior angles, angles at a point, complementary angles, supplementary angles. Parallel lines and transversals. Equilateral, right, and isosceles triangles. (b) circles; Square, rectangle, rhombus, kite, parallelogram, trapezium. (c) congruent triangles; (d) similar figures; (e) faces, edges and vertices of solids; (f) classes of solids; Prisms, pyramids, cylinders, cones, sphere.
 
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Move done incomplete Angles at a point, vertically opposite angles, adjacent angles (Mathworksheets4kids) Angles at a point, vertically opposite angles, adjacent angles (Mathworksheets4kids)
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Move done incomplete Angles around a point (Mathworksheets4kids) Angles around a point (Mathworksheets4kids)
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Move done incomplete Complementary, supplementary angles (Mathworksheets4kids) Complementary, supplementary angles (Mathworksheets4kids)
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Move done incomplete Straight angle - form equation (Mathworksheets4kids) Straight angle - form equation (Mathworksheets4kids)
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Move done incomplete Parallel lines and transversal (Mathworksheets4kids) Parallel lines and transversal (Mathworksheets4kids)
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Move done incomplete Corresponding, alternate or co-interior angles (Mathworksheets4kids) Corresponding, alternate or co-interior angles (Mathworksheets4kids)
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Move done incomplete Quadrilaterals (Everything Maths) Quadrilaterals (Everything Maths)
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Move done incomplete Triangles, Similarity, Congruency (Everything Maths) Triangles, Similarity, Congruency (Everything Maths)
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Move done incomplete Classes of solids - right prisms and cylinders (Everything Maths) Classes of solids - right prisms and cylinders (Everything Maths)
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Move done incomplete Pyramid, cone, sphere (Everything Maths) Pyramid, cone, sphere (Everything Maths)
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Move done incomplete Geometry and Trigonometry Part 2 - GED Prep Math (nsccalpmath on YouTube) Geometry and Trigonometry Part 2 - GED Prep Math (nsccalpmath on YouTube)
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6. Represent translations in the plane using vectors, column matrix notation.
 
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Move done incomplete Translation using a column vector (Nayland School) Translation using a column vector (Nayland School)
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Move done incomplete Geometric translations with vectors (CK-12) Geometric translations with vectors (CK-12)
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Move done incomplete How to translate a shape using a column vector (mkyou2tube on YouTube) How to translate a shape using a column vector (mkyou2tube on YouTube)
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7. Determine and represent the location of: (a) the image of an object; (b) an object given the image under a transformation; a translation in the plane; a reflection in a line in that plane; a rotation about a point (the centre of rotation) in that plane; an enlargement or reduction in that plane.
 
Move done incomplete Curriculum Requirements for Specific Objective 7 Curriculum Requirements for Specific Objective 7
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Move done incomplete Transformations vocabulary (Open High School) Transformations vocabulary (Open High School)
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Move done incomplete Geometry for Elementary School/Transformation (Wikibooks) Geometry for Elementary School/Transformation (Wikibooks)
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Move done incomplete Translations, Reflections, and Rotations - book extract (Open High School) Translations, Reflections, and Rotations - book extract (Open High School)
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Move done incomplete Geometry: Transformations (CNX) Geometry: Transformations (CNX)
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Move done incomplete Transformation (Commonwealth of Learning) Transformation (Commonwealth of Learning)
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Move done incomplete Enlargement (Nayland School) Enlargement (Nayland School)
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Move done incomplete Translations example 1 (Open High School) Translations example 1 (Open High School)
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Move done incomplete Reflection example (Open High School) Reflection example (Open High School)
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Move done incomplete Rotation example (Open High School) Rotation example (Open High School)
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8. Identify the relationship between an object and its image in the plane after a geometric transformation; similarity; congruency.
 
Move done incomplete Curriculum Requirements for Specific Objective 8 Curriculum Requirements for Specific Objective 8
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Move done incomplete Transformation (Commonwealth of Learning) Transformation (Commonwealth of Learning)
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Move done incomplete Geometry: Transformations (CNX) Geometry: Transformations (CNX)
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Move done incomplete Translation, rotation, reflection with congruent triangles (Wikipedia) Translation, rotation, reflection with congruent triangles (Wikipedia)
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9. Describe a transformation given an object and its image; a translation in the plane; a reflection in a line in that plane; a rotation about a point (the centre of rotation) through an angle in the plane; an enlargement or reduction in that plane about a center.
 
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Move done incomplete Describe Transformations as x and y Coordinate Changes - book extract (Open High School) Describe Transformations as x and y Coordinate Changes - book extract (Open High School)
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Move done incomplete Translations (CK-12) Translations (CK-12)
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Move done incomplete Transformation (Commonwealth of Learning) Transformation (Commonwealth of Learning)
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Move done incomplete Transformation (CK-12) Transformation (CK-12)
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Move done incomplete Geometry - Transformations (CNX) Geometry - Transformations (CNX)
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Move done incomplete Describe a transformation (Nayland School) Describe a transformation (Nayland School)
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10. Locate the image of a set of points under a combination of transformations; combination of any two of enlargement/reduction, translation, rotation, reflection, glide reflection.
 
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Move done incomplete Transformation (Commonwealth of Learning) Transformation (Commonwealth of Learning)
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Move done incomplete Representing and combining transformations - for teachers (mathshell) Representing and combining transformations - for teachers (mathshell)
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Move done incomplete Translations, Reflections, and Rotations - book extract (Open High School) Translations, Reflections, and Rotations - book extract (Open High School)
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Move done incomplete Glide Reflections (HCCMathHelp on YouTube) Glide Reflections (HCCMathHelp on YouTube)
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11. State the relations between an object and its image as the result of a combination of two transformations.
 
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Move done incomplete Transformation (Commonwealth of Learning) Transformation (Commonwealth of Learning)
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Move done incomplete Composite transformations (CK-12) Composite transformations (CK-12)
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Move done incomplete Congruency Transformations in Geometry - for teachers (DOE.mass.edu) Congruency Transformations in Geometry - for teachers (DOE.mass.edu)
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12. Use Pythagoras’ theorem to solve problems.
 
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Move done incomplete Pythagoras' theorem - applications in 2D and 3D (mathcentre.ac.uk) Pythagoras' theorem - applications in 2D and 3D (mathcentre.ac.uk)
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Move done incomplete Applications Using the Pythagorean Theorem (CK-12) Applications Using the Pythagorean Theorem (CK-12)
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Move done incomplete Pythagoras- Word Problem (VividMaths on YouTube) Pythagoras- Word Problem (VividMaths on YouTube)
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Move done incomplete Geometry and Trigonometry Part 3 - GED Prep Math (nsccalpmath on YouTube) Geometry and Trigonometry Part 3 - GED Prep Math (nsccalpmath on YouTube)
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13. Determine the trigonometric ratios of acute angles in a right-angled triangle.
 
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Move done incomplete Trigonometry - book extract (Michael Corral) Trigonometry - book extract (Michael Corral)
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Move done incomplete Defining the trigonometric ratios (Everything Maths) Defining the trigonometric ratios (Everything Maths)
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Move done incomplete Trigonometrical ratios in a right-angled triangle (mathcentre.ac.uk) Trigonometrical ratios in a right-angled triangle (mathcentre.ac.uk)
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14. Use trigonometric ratios in the solution of right angled-triangles; practical geometry and scale drawing, bearing.
 
Move done incomplete Curriculum Requirements for Specific Objective 14 Curriculum Requirements for Specific Objective 14
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Move done incomplete Trigonometry - book extract (Michael Corrall) Trigonometry - book extract (Michael Corrall)
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Move done incomplete Finding angles in right angled triangle (Everything Maths) Finding angles in right angled triangle (Everything Maths)
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Move done incomplete Trigonometrical ratios in a right-angled triangle (mathcentre.ac.uk) Trigonometrical ratios in a right-angled triangle (mathcentre.ac.uk)
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Move done incomplete Applications of right triangle trigonometry (Wikibooks) Applications of right triangle trigonometry (Wikibooks)
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15. Use trigonometric ratios to solve problems based on measures in the physical world; heights and distances; angles of elevation and depression.
 
Move done incomplete Curriculum Requirements for Specific Objective 15 Curriculum Requirements for Specific Objective 15
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Move done incomplete Two dimensional problems (Everything Maths) Two dimensional problems (Everything Maths)
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Move done incomplete Solving problems using trigonometry (Math Open Reference) Solving problems using trigonometry (Math Open Reference)
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Move done incomplete Applications of right triangle trigonometry (Wikibooks) Applications of right triangle trigonometry (Wikibooks)
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Move done incomplete Angles Of Elevation And Depression (VividMaths on YouTube) Angles Of Elevation And Depression (VividMaths on YouTube)
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16. Use the sine and cosine rules in the solution of problems involving triangles.
 
Move done incomplete Curriculum Requirements for Specific Objective 16 Curriculum Requirements for Specific Objective 16
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Move done incomplete Area, sine and cosine rules (Everything Maths) Area, sine and cosine rules (Everything Maths)
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Move done incomplete Applying the Laws of Sines and Cosines (CK-12) Applying the Laws of Sines and Cosines (CK-12)
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17. Represent the relative position of two points given the bearing of one point with respect to the other.
 
Move done incomplete Curriculum Requirements for Specific Objective 17 Curriculum Requirements for Specific Objective 17
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Move done incomplete Right Triangles, Bearings, and other Applications (CK-12) Right Triangles, Bearings, and other Applications (CK-12)
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Move done incomplete Trigonometry and Bearings - Overview (CK-12) Trigonometry and Bearings - Overview (CK-12)
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18. Determine the bearing of one point relative to another point given the position of the points.
 
Move done incomplete Curriculum Requirements for Specific Objective 18 Curriculum Requirements for Specific Objective 18
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Move done incomplete Use cos rule and sine rule to find bearing (precalculusnwr7) Use cos rule and sine rule to find bearing (precalculusnwr7)
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Move done incomplete Trigonometry and bearing (CNX) Trigonometry and bearing (CNX)
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19. Solve problems involving bearings.
 
Move done incomplete Curriculum Requirements for Specific Objective 19 Curriculum Requirements for Specific Objective 19
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Move done incomplete Right Triangles, Bearings, and other Applications (CK-12) Right Triangles, Bearings, and other Applications (CK-12)
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Move done incomplete Maths Help Bearings Problem (VividMaths on YouTube) Maths Help Bearings Problem (VividMaths on YouTube)
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Move done incomplete CXC Math Bearings (CXCDirect1 on YouTube) CXC Math Bearings (CXCDirect1 on YouTube)
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20. Solve practical problems involving heights and distances in three dimensional situations.
 
Move done incomplete Curriculum Requirements for Specific Objective 20 Curriculum Requirements for Specific Objective 20
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Move done incomplete Applications of trigonometry in 2D and 3D (Everything Maths) Applications of trigonometry in 2D and 3D (Everything Maths)
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Move done incomplete Application in 3D using Pythagoras' theorem (Wikibooks) Application in 3D using Pythagoras' theorem (Wikibooks)
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Move done incomplete Pythagoras' theorem - applications in 2D and 3D (mathcentre.ac.uk) Pythagoras' theorem - applications in 2D and 3D (mathcentre.ac.uk)
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Move done incomplete Solving 3 Dimensional Problems Using Trigonometry (AlRichards314 on YouTube) Solving 3 Dimensional Problems Using Trigonometry (AlRichards314 on YouTube)
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must submit the assignment submitted the assignment
   
21. Solve geometric problems using properties of circles and circle theorems. Circle Geometry.
 
Move done incomplete Curriculum Requirements for Specific Objective 21 Curriculum Requirements for Specific Objective 21
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Move done incomplete Circle geometry (Everything Maths) Circle geometry (Everything Maths)
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Move done incomplete Chords in circles (CK-12) Chords in circles (CK-12)
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Move done incomplete GCSE revision - Circle theorems (mkyou2tube on YouTube) GCSE revision - Circle theorems (mkyou2tube on YouTube)
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Self Assessment Activities
 
Move done incomplete Geometry & Trigonometry Self Assessment Geometry & Trigonometry Self Assessment
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must submit the assignment submitted the assignment
   
   
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