M.1.3.5 Solve a linear measurement problem including perimeter, circumference, and length + width + height (used in shipping and air travel).
M.1.3.6 Determine the operation that should be used to solve a linear measurement problem.
M.1.3.7 Provide an example of a situation in which a fractional linear measurement would be divided by a fraction.
M.1.3.8 Determine, using a variety of strategies, the midpoint of a linear measurement such as length, width, height, depth, diagonal and diameter of a 3-D object, and explain the strategies.
M.1.3.9 Determine if a solution to a problem that involves linear measurement is reasonable.
M.1.4 Solve problems that involve SI and imperial area measurements of regular, composite and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions.
M.1.4.1 Identify and compare referents for area measurements in SI and imperial units.
M.1.4.2 Estimate an area measurement, using a referent.
M.1.4.3 Identify a situation where a given SI or imperial area unit would be used.
M.1.4.4 Estimate the area of a given regular, composite or irregular 2-D shape, using an SI square grid and an imperial square grid.
M.1.4.5 Solve a contextual problem that involves the area of a regular, a composite or an irregular 2-D shape.
G.1.4 Demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by:
G.1.4.a applying similarity to right triangles
G.1.4.b generalizing patterns from similar right triangles
G.1.4.c applying the primary trigonometric ratios
G.1.4.d solving problems.
G.1.4.1 Show, for a specified acute angle in a set of similar right triangles, that the ratios of the length of the side opposite to the length of the side adjacent are equal, and generalize a formula for the tangent ratio.
G.1.4.2 Show, for a specified acute angle in a set of similar right triangles, that the ratios of the length of the side opposite to the length of the hypotenuse are equal, and generalize a formula for the sine ratio.
G.1.4.3 Show, for a specified acute angle in a set of similar right triangles, that the ratios of the length of the side adjacent to the length of the hypotenuse are equal, and generalize a formula for the cosine ratio.
G.1.4.4 Identify situations where the trigonometric ratios are used for indirect measurement of angles and lengths.
G.1.4.5 Solve a contextual problem that involves right triangles, using the primary trigonometric ratios.
G.1.4.6 Determine if a solution to a problem that involves primary trigonometric ratios is reasonable.
G.1.5 Solve problems that involve parallel, perpendicular and transversal lines, and pairs of angles formed between them.
G.1.5.1 Sort a set of lines as perpendicular, parallel or neither, and justify this sorting.
G.1.5.2 Illustrate and describe complementary and supplementary angles.
G.1.5.3 Identify, in a set of angles, adjacent angles that are not complementary or supplementary.
G.1.5.4 Identify and name pairs of angles formed by parallel lines and a transversal, including corresponding angles, vertically opposite angles, alternate interior angles, alternate exterior angles, interior angles on same side of transversal and exterior angles on same side of transversal.
G.1.5.5 Explain and illustrate the relationships of angles formed by parallel lines and a transversal.