CCSS: Mathematics, CCSS: Grade 7, Ratios & Proportional Relationships
7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
CCSS: Mathematics, CCSS: Grade 7, Expressions & Equations
7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
CCSS: Mathematics, CCSS: Grade 7, Geometry
7.G.A. Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.B. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
- 7.RP.A.2. Recognize and represent proportional relationships between quantities.
CCSS: Mathematics, CCSS: Grade 7, Expressions & Equations
7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
- 7.EE.B.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
- 7.EE.B.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
CCSS: Mathematics, CCSS: Grade 7, Geometry
7.G.A. Draw construct, and describe geometrical figures and describe the relationships between them.
- 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 at a different scale.
- 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 pyramids.
7.G.B. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
- 7.G.B.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.B.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.