Geometry Semester 1 - Standards |
State Standard |
* Basic Skills Tests - Students will demonstrate a knowledge of basic, pre-requisite math skills: (1) operations with fractions, (2) order of operations, (3) solve basic equations and (4) compute areas of basic shapes. |
Not applicable |
1. Students will learn the basics of geometry, including the building blocks and basic structure of geometry, parts of a line, how to measure lengths and angles and complete basic constructions. |
Not applicable |
2. Identify, apply, and analyze angle relationships among two or more lines and a transversal to determine if lines are parallel, perpendicular, or neither. |
H.1G.1 |
3. Apply slopes, distance, and midpoint formulas to solve problems in a coordinate plane. |
H.3G.4 |
4a. Apply theorems of corresponding parts of congruent figures to determine missing sides and angles of polygons. |
H.1G.3 |
4b. Apply theorems, properties, and definitions to determine, identify, and justify congruency of triangles. |
H.1G.2 |
5. Classify quadrilaterals. |
H.1G.2 |
6a. Apply theorems of corresponding parts of similar figures to determine missing sides and angles of polygons. |
H.1G.3 |
6b. Apply theorems, properties, and definitions to determine, identify, and justify similarity of triangles. |
H.1G.2 |
7a. Use trigonometric ratios (sine, cosine, and tangent) and the Pythagorean Theorem to solve for unknown lengths in right triangles. |
H.1G.4 |
7b. Determine if three given lengths form a triangle. If the given lengths form a triangle, classify it as acute, right or obtuse. |
H.1G.6 |
Geometry Semester 2 - Standards |
State Standard |
* Basic Skills Tests - Students will demonstrate a knowledge of basic, pre-requisite math skills. |
Not applicable |
1. Identify and perform single and composite transformations of geometric figures in a plane, including translations, origin-centered dilations, reflections across either axis or y = ±x, and rotations about the origin in multiples of 90 degrees. |
H.3G.2 |
2. Recognize and identify line and rotational symmetry of two dimensional figures. |
H.3G.1 |
3. Determine the missing dimensions, angles, or area of quadrilaterals and triangles including composite shapes and shaded regions. |
H.1G.5 |
4. Determine the missing dimensions, angles, or area of regular polygons and circles including composite shapes and shaded regions. |
H.1G.5 |
5. Identify, classify, model, sketch, and label representations of three-dimensional objects from nets and from different perspectives. |
H.2G.1 |
6. Identify and apply formulas for surface area and volume of spheres, right solids, including rectangular prisms and pyramids; cones; and cylinders; and compositions thereof. Solve related context-based problems. |
H.2G.2 |
7. Identify and apply formulas to solve for the missing dimensions of spheres and right solids, including rectangular prisms and pyramids, cones, and cylinders, both numerically and symbolically. |
H.2G.3 |
8. Apply a scale factor to determine similar two- and three-dimensional figures, are similar. Compare and compute their respective areas and volume of similar figures. |
H.3G.3 |
9. In problems involving circles, apply theorems and properties of chords, tangents, and angles; and theorems and formulas of arcs and sectors. |
H.1G.7 |
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