geometry

This lesson unit is intended to help you assess how well students are able to:

• Describe in words the transformation that maps an object to a transformed image.
• Given a geometric figure and a rotation, reflection or translation, draw the transformed figure (or the original
...

This lesson unit is intended to help you assess how well students are able to:

• Translate between the equations of circles and their geometric features.
• Sketch a circle from its equation.

This lesson unit is intended to help you assess how well students are able to:

• Use the Pythagorean theorem to derive the equation of a circle.
• Translate between the geometric features of circles and their equations.

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, the lesson will help you identify and help students who have difficulty:

• Solving problems by determining the lengths of the sides in right
...

This lesson unit is intended to help you assess how well students are able to visualize two-dimensional cross-sections of representations of 3-dimensional objects. In particular, the lesson will help you identify and help students who have difficulties recognizing and drawing 2-dimensional cross...

This lesson unit is intended to help you assess how well students are able to produce and evaluate geometrical proofs. In particular, it is intended to help you identify and assist students who have difficulties in:

• Interpreting diagrams.
• Identifying mathematical knowledge
...

This lesson unit is intended to help you assess how well students are able to:

• Choose appropriate mathematics to solve a non-routine problem.
• Generate useful data by systematically controlling variables.
• Develop experimental and analytical models of a physical
...

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty:

• Decomposing complex shapes into simpler ones in order to solve a problem.
...

This lesson unit is intended to help you assess how well students can:

• Understand the concepts of length and area.
• Use the concept of area in proving why two areas are or are not equal.
• Construct their own examples and counterexamples to help justify or refute
...

This lesson unit is intended to help you assess how well students are able to solve problems involving area and volume, and in particular, to help you identify and assist students who have difficulties with:

• Computing perimeters, areas, and volumes using formulas.
• Finding
...

This lesson unit is intended to help you assess how well students are able to:

• Work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles.
• Identify and understand the significance of a
...

This lesson unit is intended to help you assess how well students are able to identify and use geometrical knowledge to solve a problem. In particular, it aims to identify and help students who have difficulty in:

• Making a mathematical model of a geometrical situation.
...

This lesson unit is intended to help you assess how well students solve problems involving measurement and in particular, to identify and help students who have difficulty:

• Computing measurements using formulas.
• Decomposing compound shapes into simpler ones.
• Using
...

This lesson unit is intended to help you assess how well students are able to solve problems involving area and arc length of a sector of a circle using radians. It assumes familiarity with radians and should not be treated as an introduction to the topic. This lesson is intended to help you...

This lesson unit is intended to help you assess how well students are able to:

• Recognize and visualize transformations of 2D shapes.
• Translate, reflect and rotate shapes, and combine these transformations.

It also aims to encourage discussion on some common...

This lesson unit is intended to help you assess how students reason about geometry and, in particular, how well they are able to:

• Use facts about the angle sum and exterior angles of triangles to calculate missing angles.
• Apply angle theorems to parallel lines cut by a
...

This lesson unit is intended to help students to:

• Select appropriate mathematics to solve a problem.
• Compare and evaluate different methods for solving a problem and make generalizations about the appropriateness of different approaches.
• Understand the Pythagorean
...

This lesson unit is intended to help you assess how well students are able to:

• Use the area of right triangles to deduce the areas of other shapes.
• Use dissection methods for finding areas.
• Organize an investigation systematically and collect data.
• Deduce a
...

This lesson unit is intended to help students to apply their knowledge of the relationship between the radius and the area of a circle. In particular, students will:

• Sketch and construct loci involving arcs of circles.
• Calculate the area of a circle, given its radius.
...

This lesson unit is intended to help you assess how well students are able to:

• Model a situation.
• Make sensible, realistic assumptions and estimates.
  • Use assumptions and estimates to create a chain of reasoning, in order to solve a practical problem.