## Intermediate Math 1 - Geometry

## 1- Expressions and Equations 2- Geometry 3- Number Systems

4- Ratios and Proportions 5- Statistics and Probability

## Draw, construct, and describe geometrical figures and describe the relationships between them.

7.G.1 Solve problems involving scale drawings of geometric figures, such as computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. |
7.G.1 I can solve problems involving scale drawings of geometric figures.For example: Students can compute actual length and areas from a scale drawing and create/reproduce scale drawings at a different scale. 7.G.2 I can draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions, focusing on triangles.For example: Given three measures of angles or sides, a student can determine whether it will yield a unique triangle, more than one triangle, or no triangle. 7.G.3 I can describe cross sections of three-dimensional figures.For example: Students can identify plane sections of right rectangular prisms, right rectangular pyramids and cylinders.Web resource: http://www.shodor.org/interactivate/activities/CrossSectionFlyer/ |

## Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

7.G.4 Know the formulas for the area and circumference of a circle and solve problems; give an informal derivation of the relationship between the circumference and area of a circle. 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. 7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. |
7.G.4.a I can recite the formulas for the area and circumference of a circle.7.G.4.b I can solve problems involving area and circumference.7.G.4.c I can visually demonstrate the relationship between area and circumference of a circle.7.G.5 I can use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.7.G.6 I can solve contextual situations and math problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. |