Maths Library

Grade 7 math, age 12 to 13

Grade 7 mathematics emphasizes proportional relationships, operations with rational numbers, and algebraic expressions and equations. Students apply ratios to solve complex multi-step percentage problems, perform the four operations across all positive and negative rational numbers, and solve two-step linear equations and inequalities. They also examine angle relationships, calculate the circumference and area of circles, and explore probability models.

Start a Grade 7 sheet

Equivalent levels

Topics

Ratio

TopicFocusCodes
Proportions and Unit Ratesdevelop7.RP.A.1

Measurement

TopicFocusCodes
Speed, Distance, and Timedevelop7.RP.A.1
Circumference and Area of Circlesintroduce7.G.B.4
Area of Triangles and Parallelogramsdevelop7.G.B.6
Volume of Rectangular Prismsdevelop7.G.B.6

Percentages

TopicFocusCodes
Percent of a Numberdevelop7.RP.A.3
Percent Increase and Decreasedevelop7.RP.A.3

Number

TopicFocusCodes
Negative Numbersdevelop7.NS.A.1
Operations with Integersdevelop7.NS.A.1

Fractions

TopicFocusCodes
Adding and Subtracting Fractionsdevelop7.NS.A.1
Multiplying Fractionsdevelop7.NS.A.2
Dividing Fractionsdevelop7.NS.A.2
Fractions, Decimals, and Percentsdevelop7.NS.A.2

Algebra

TopicFocusCodes
Combining Like Termsdevelop7.EE.A.1
Distributive property and expanding polynomialsdevelop7.EE.A.1
Two-step and multi-step equationsdevelop7.EE.B.4
Solving linear inequalitiesdevelop7.EE.B.4

Geometry

TopicFocusCodes
Finding Angle Measuresdevelop7.G.B.5

Statistics

TopicFocusCodes
Mean, Median, Mode, and Rangedevelop7.SP.B.4

Probability

TopicFocusCodes
Basic Probabilityintroduce7.SP.C.5

Curriculum items

Indicative, from Common Core State Standards. See the official document for the authoritative text.

  • 7.RP.A.1 Compute unit rates associated with ratios of fractions and quantities measured in different units.
  • 7.RP.A.3 Use proportional relationships to solve multi-step ratio and percent problems including tax, markups, and percent change.
  • 7.NS.A.1 Add and subtract rational numbers including positive and negative fractions, decimals, and integers.
  • 7.NS.A.2 Multiply and divide rational numbers, converting between fractional and decimal representations.
  • 7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions.
  • 7.EE.B.4 Construct and solve two-step linear equations and simple inequalities to solve real-world problems.
  • 7.G.B.4 State the formulas for the area and circumference of a circle and use them to solve problems.
  • 7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles to write and solve simple equations.
  • 7.G.B.6 Solve real-world problems involving area, volume, and surface area of two- and three-dimensional objects.
  • 7.SP.B.4 Use measures of center and measures of variability from random samples to draw informal comparative inferences.
  • 7.SP.C.5 Understand that the probability of a chance event is a number between 0 and 1 expressing the likelihood of occurrence.

Previous: Grade 6 | Next: Grade 8