Buncombe County Schools Mathematics
  • Home
    • Vision and Mission
    • Focus, Coherence, and Rigor
    • Mathematics Curriculum Staff
    • You Cubed (Jo Boaler)
    • Math Class Needs a Makeover
    • Math Class Today
  • K-5 Mathematics
    • K-5 General Mathematics Information
    • Kindergarten
    • 1st Grade
    • 2nd Grade
    • 3rd Grade
    • 4th Grade
    • 5th Grade
  • 6-8 Mathematics
    • 6th Grade
    • 7th Grade
    • 8th Grade
  • 9-12 Mathematics
    • 9-12 General Information
    • Math 1
    • Math 2
    • Math 3
  • Celebrations
    • State Math Competition
    • College of Charleston Math Meet
    • Elementary Math Meet

7th Grade Mathematics

Picture
the STANDARDS
Sample Problems from NCDPI Unpacking
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



7th Grade Parent Roadmap

Picture

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




Picture

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
Picture

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


Picture

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
The Big Ideas:  Click in order to get additional information and support
Number Systems
Geometry
Ratios and Proportions
Statistics and Probability
Expressions and Equations

Powered by Create your own unique website with customizable templates.