#### WA10.1: Demonstrate understanding of the preservation of equality including solving problems that involve the manipulation and application of formulas related to perimeter, area, the Pythagorean Theorem, primary trigonometric ratios, and income.

WA10.1.f: Solve situational questions that involve the application of a formula that:

WA10.1.f.2: does require manipulation.

#### WA10.5: Demonstrate using concrete and pictorial models, and symbolic representations, understanding of area of 2-D shapes and surface area of 3-D objects including units in SI and Imperial systems of measurement.

WA10.5.d: Develop, generalize, explain, and apply strategies (including measuring and applying formulae) for determining areas and surface areas of:

WA10.5.d.1: regular, composite, and irregular 2-D shapes, including circles

WA10.5.d.2: 3-D objects, including right cylinders and right cones.

WA10.5.e: Create, solve, and verify the reasonableness of solutions to situational questions relevant to self, family, or community that involve area or surface area measurement of:

WA10.5.e.1: regular or irregular 2-D shapes including circles

WA10.5.e.2: 3-D objects, including right cylinders and cones.

WA10.5.g: Analyze, with and without the use of dynamic geometry software, the effect of changing the measurement of one or more dimensions on area and perimeter of rectangles and surface area of rectangular prisms.

#### WA10.6: Apply understanding of the Pythagorean Theorem to solve problems.

WA10.6.a: Model, including the use of drawing, concrete materials, and technology, the meaning, role, and use of the Pythagorean Theorem, using examples and non-examples.

WA10.6.b: Observe and analyze a set of triangles to judge if the Pythagorean Theorem could be used to determine an unknown side length and explain the reasoning.

WA10.6.c: Describe historical and contemporary applications of the Pythagorean Theorem, including the 3:4:5 ratio (e.g., Explain the relationship between a circle of string that has 13 equidistant knots or beads forming 12 spaces of equal length on it to the Pythagorean Theorem).

WA10.6.d: Relate, using examples, ratios equivalent to 3:4:5 and other Pythagorean Triples to the Pythagorean Theorem.

#### WA10.7: Demonstrate understanding of similarity of convex polygons, including regular and irregular polygons.

WA10.7.a: Analyze and generalize about the relationships between:

WA10.7.a.1: the corresponding sides of two or more polygons that have corresponding angles of equal measure

WA10.7.c: Verify whether two or more given polygons are similar.

WA10.7.f: Create and solve situational questions relevant to self, family, or community that involve similarity of polygons.

#### WA10.8: Demonstrate an understanding of primary trigonometric ratios (sine, cosine, and tangent).

WA10.8.a: Observe a set of similar right triangles and analyze and draw conclusions about the ratios of the lengths, with respect to one acute angle of the:

WA10.8.a.1: side opposite to the side adjacent

WA10.8.a.2: side opposite to the hypotenuse

WA10.8.a.3: side adjacent to the hypotenuse.

WA10.8.b: Identify situations where the trigonometric ratios can be used for indirect measurement for angles and lengths.

WA10.8.c: Develop, generalize, explain, and apply formulae for the primary trigonometric ratios (cosine, tangent, and sine).

WA10.8.d: Analyze solutions to situational questions that involve primary trigonometric ratios to determine if they are reasonable and explain the reasoning.

WA10.8.e: Apply knowledge and skills related to the solving of right triangles using the primary trigonometric ratios to create and solve situational problems relevant to self, family, or community.

#### WA10.9: Demonstrate understanding of angles including: drawing and sketching, replicating and constructing, bisecting, relating to parallel, perpendicular, and transversal lines, and solving problems.

WA10.9.d: Explain and illustrate how angles can be replicated (e.g., Mira, protractor, compass and straightedge, carpenter?s square, and dynamic software).

WA10.9.k: Generalize, develop, explain, and apply relationships between pairs of angles formed by parallel lines and a transversal, including:

WA10.9.k.1: corresponding angles

WA10.9.k.2: vertically opposite angles

WA10.9.k.3: alternate interior angles

WA10.9.k.4: alternate exterior angles

WA10.9.m: Describe and apply strategies for determining if lines or planes are perpendicular or parallel in situations relevant to self, family, or community (e.g., are the walls perpendicular to the floor? Are the corners square? Are the seams on the duvet parallel? Are the joists parallel?).

#### WA10.10: Apply proportional reasoning to solve problems involving unit pricing and currency exchange.

WA10.10.d: Develop (using proportional reasoning), explain, and apply strategies for:

WA10.10.d.3: determining percent increase or decrease for a given situation.

Correlation last revised: 9/16/2020

This correlation lists the recommended Gizmos for this province's curriculum standards. Click any Gizmo title below for more information.