CCSS.Math.Content.7.G.A

CCSS.Math.Content.7.G.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.7.G.A.1

  Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing ...

• CCSS.Math.Content.7.G.A.2

  Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of a...

• CCSS.Math.Content.7.G.A.3

  Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular ...

01

What Students Need to Do

Students make scale drawings and construct figures from given side lengths and angle measures. They explain how measurements limit possible figures. They also identify shapes made by slicing three-dimensional solids.

02

What Mastery Looks Like

Students use rulers, protractors, and scale factors accurately. They decide whether given measurements make one triangle, several triangles, or none. They predict and sketch cross-sections of three-dimensional figures.

03

Common Misconceptions

Students often reverse a scale factor or apply it to only one dimension. They may think any three lengths form a triangle. They also confuse a cross-section with the solid's visible face.

04

How to Assess It

Give a three-part exit ticket: find an actual length from a scale drawing, test three lengths for a triangle, and sketch a cube's diagonal slice.

1. 01

   Give pairs rulers, protractors, and straws to construct triangles from assigned measurements, then compare which sets produce one, several, or no triangles.

2. 02

   Ask students to explain in writing why side lengths 3, 4, and 8 cannot form a triangle.

3. 03

   Play a matching game pairing picture cards of sliced solids with cards showing their two-dimensional cross-sections.

4. 04

   Have students measure the classroom and create a scale floor plan that includes doors, windows, desks, and labeled dimensions.

• CCSS.Math.Content.4.G.A

  Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

• CCSS.Math.Content.4.G.A.1

  Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

• CCSS.Math.Content.1.G.A.1

  Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); bu...