How to learn High school: Mathematics
Virginia Standards of Learning: Mathematics, High school
0 of 5 concepts ready to learn · Markdown, for your AI
1. Functions · Write the equation of a linear function to model a linear relationship between two quantities, including those that can represent contextual situations. Writing the equation of a linear fu
- Linear Function Graphs: Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context
2. Polygons and Circles · Determine the equation of a circle given:
- Circles: Circumference & Area: Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts
3. Polygons and Circles · Solve problems in the coordinate plane involving equations of circles:
- Coordinate Transformations: Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original
4. Reasoning, Lines and Transformations · Prove and justify angle pair relationships formed by two parallel lines and a transversal, including:
- Angles with parallel lines: Understand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side interior) angles; use these to find unknown angles
5. Identities and Equations · Use trigonometric identities to make algebraic substitutions to simplify and verify trigonometric identities. The basic trigonometric identities include
- Trigonometry basics: Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem