Middle School Geometry Goals

• Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. CCSS.MATH.CONTENT.6.G.A.1

• Area of triangles worksheet
• Area of triangles, trapezoids, and parallelograms

Given formulas for finding the area of triangles and other polygons, Nia can find the area of mixed shapes with 20% accuracy. 

• Given access to notes on how to find the area of polygons and graph paper, Name will find the area of right triangles, other triangles, special quadrilaterals, and polygons with 80% accuracy as measured by teacher records and observation CCSS.MATH.CONTENT.6.G.A.1

• Make it harder: Take away the formulas or make it in the context of real world problems.
• Make it easier: Limit the polygons the student needs to find the area for to triangles and rectangles.

• 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. CCSS.MATH.CONTENT.7.G.B.6

• Area
  • Area of triangles worksheet
  • Area of triangles, trapezoids, and parallelograms
• Volume and surface area
  • Of mixed shapes

Given the exact formula he needs, Dion can find the area for rectangles with 80% accuracy and triangles with 60% accuracy. He gets confused on the difference between surface area and volume and can find them with under 30% accuracy.

• Given access to notes and formulas, Name will solve mathematical problems involving area, volume and surface area of two- and three-dimensional objects, including triangles, quadrilaterals, polygons, cubes, and right prisms with 80% accuracy as measured by teacher records and observations CCSS.MATH.CONTENT.7.G.B.6

• Make it harder: Focus on just area or just surface area and volume.
• Make it easier: Add in real world problems or remove the support of formulas.

• Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. CCSS.MATH.CONTENT.8.G.C.9
• Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. CCSS.MATH.CONTENT.8.G.B.7

• Volume and surface area of mixed shapes
• Pythagorean theorem

For surface area and volume: Given access to formulas, Lysandra can find the area of triangles and other polygons. She often confuses surface area and volume and solves problems on volume with under 30% accuracy.

For right triangles: Given access to formulas and a calculator, Lysandra can find the area of triangles, but she needs significant teacher support to apply the Pythagorean theorem.

• Given the formulas for the volumes of cones, cylinders, and spheres, Name will use them to solve mathematical problems with 80% accuracy as measured by teacher records and observations CCSS.MATH.CONTENT.8.G.C.9
• Given a calculator and the formula, Name will apply the Pythagorean Theorem to determine unknown side lengths in right triangles in mathematical problems with 80% accuracy on two of three trials as measured by teacher records and observations CCSS.MATH.CONTENT.8.G.B.7

• Make it harder: Remove the supports of formulas and calculators. Add in real world problems.
• Make it easier: Limit the length of the sides in the right triangle problems. Limit the types of shapes the student has to find the volume of.