7th Grade Mathematics

Grade 7 mathematics focuses on four critical areas:
  • Understanding and applying proportional relationships
  • Understanding operations with rational numbers and working with expressions and equations
  • Solving problems with scale drawings; informal geometric constructions; and 2 and 3 dimensional shapes involving area, surface area and volume 
  • Making inferences about populations based on samples

First Quarter

During the first 9-weeks... 
Students extend their understanding of ratios and develop understanding of proportionality to:
  • solve single- and multi-step problems 
  • solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects
  •  use tables, graphs and equations for proportional relationships and understand the unit rate informally as a measure of the steepness of the related line, called the constant of proportionality
  • distinguish proportional relationships from other relationships
Also, they will:
  •  apply the properties of operations and the relationships between addition and subtraction, and multiplication and division to negative numbers in terms of everyday contexts
  • explain and interpret the rules for adding, subtracting, multiplying and dividing with negative numbers
Standards Addressed:
Ratio and Proportions:1,2
Geometry: 1
Number Systems: 1,2,3
Expressions and Equations: 1,4b

Second Quarter

During the second 9-weeks...
Students will continue working with rational numbers including operations with and application of integers.  
They will use the arithmetic of rational numbers to:
  • formulate expressions and equations in one variable and use these equations to solve problems.
  • use properties of operations to generate equivalent expressions.
  • use and solve real-life mathematical problems using numerical and algebraic expressions and equations.
  • use variables to represent quantities in a real-world or mathematical problem to construct and solve simple equations and inequalities in one and two steps 
  • reason about the quantity of their solutions.
​Standards Addressed:
Number Systems: 3
Expressions and Equations: 1, 2,3,4

Third Quarter

During the third nine weeks.
Students will:
  • use their understanding of ratios and proportionality to solve a wide variety of percent problems, including those involving discounts, interest, taxes, tips, and percent increase or decrease.
  • solve problems involving the area and circumference of a circle and surface area of three-dimensional objects.
  • reason about relationships among informal geometric constructions.
  • work with three-dimensional figures, relating them to two-dimensional figures by examining cross-sections.
  • solve real-world and mathematical problems involving area, surface area, and volume of two-and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
​Standards Addressed:
Ratio and Proportion:2d,3
Expressions and Equations: 2,3,4a
​Geometry: 2,3,4,6

Fourth Quarter

During the fourth nine weeks...
​Students connect their work with equations to geometry by
  • using facts about supplementary, complementary, vertical and adjacent angles to write and solve equations for an unknown angle in a figure
Also, students build on their previous work with single data distributions to compare two data distributions and address questions about differences between populations. They
  • ​work informally with random sampling to generate data sets to learn about the importance of representative samples for drawing inferences.
  • draw informal comparison inferences about two populations by examining the measures of center and measures of variability
  • investigate chance processes by developing, using and evaluating probability models
  • find probabilities of compound events using organized lists, tables, tree diagrams and simulations
Standards Addressed:
Geometry: 5
​Statistics and Probability: 1,2,3,4,5,6,7,8
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