# Math Crosswalk - 7th Grade

### Ratios & Proportional Relationships

 Common Core Standard © AASL Learning Standard(s) 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. 2.3.1 - Connect understanding to the real world. 7.RP.2.a. Recognize and represent proportional relationships between quantities: Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. 2.1.6 - Use the writing process, media and visual literacy, and technology skills to create products that express new understandings. 7.RP.2.b. Recognize and represent proportional relationships between quantities: Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 2.1.2 - Organize knowledge so that it is useful. 7.RP.2.c. Recognize and represent proportional relationships between quantities: Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. 2.1.6 - Use the writing process, media and visual literacy, and technology skills to create products that express new understandings. 7.RP.2.d. Recognize and represent proportional relationships between quantities: Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. 2.1.2 - Organize knowledge so that it is useful. 7.RP.3. Use proportional relationships to solve multistep ratio and percent problems. 2.1.2 - Organize knowledge so that it is useful. 2.1.3 - Use strategies to draw conclusions from information and apply knowledge to curricular areas, real-world situations, and further investigations.

### Geometry

 Common Core Standard © AASL Learning Standard(s) 7.G.1. Solve problems involving scale drawings of geometric figures, including 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.4. Know the formulas for the area and circumference of a circle and use them to 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.