Massachusetts Common Core Standards
MA.CC.6.EE. Expressions and Equations
Apply and extend previous understandings of arithmetic to algebraic expressions.
6.EE.2. Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.2.c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s^3 and A = 6 s^2 to find the volume and surface area of a cube with sides of length s = 1/2.
6.EE.3. Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.1. 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.
MA.6.G.1.a. Use the relationship between radius, diameter, and center of a circle to find the circumference and area.
MA.6.G.1.b. Solve real-world and mathematical problems involving the measurements of circles.