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.

Solving Formulas for any Variable

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

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles

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

Surface and Lateral Areas of Prisms and Cylinders
Surface and Lateral Areas of Pyramids and 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

Area of Parallelograms
Area of Triangles
Circumference and Area of Circles
Perimeter and Area of Rectangles

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

Surface and Lateral Areas of Prisms and Cylinders

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.

Perimeter and Area of Rectangles
Surface and Lateral Areas of Prisms and Cylinders

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.

Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Surface and Lateral Areas of Pyramids and Cones
Tangent Function

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.

Cosine Function
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Tangent Function

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).

Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Surface and Lateral Areas of Pyramids and Cones
Tangent Function

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

Pythagorean Theorem
Pythagorean Theorem with a Geoboard

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

Similar Figures
Similarity in Right Triangles

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

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

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

Similar Figures

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

Sine, Cosine, and Tangent Ratios

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

Sine, Cosine, and Tangent Ratios

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

Sine, Cosine, and Tangent Ratios

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

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

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

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

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

Sine, Cosine, and Tangent Ratios

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.

Sine, Cosine, and Tangent Ratios

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).

Constructing Congruent Segments and Angles

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

Triangle Angle Sum

WA10.9.k.2: vertically opposite angles

Triangle Angle Sum

WA10.9.k.3: alternate interior angles

Triangle Angle Sum

WA10.9.k.4: alternate exterior angles

Triangle Angle Sum

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?).

Cat and Mouse (Modeling with Linear Systems) - Metric
Parallel, Intersecting, and Skew Lines

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.

Percent of Change