• Ramsey Junior High Math



    In Grade 7, instructional time should focus on four critical areas:

    Developing understanding of and applying proportional relationships

    Students extend their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems including those involving discounts, interest, taxes, tips, and percent increase or decrease.  Students solve problems about scale drawings, graph proportional relationships, and understand the unit rate informally as slope.

    Developing understanding of operations with rational numbers and working with expressions and linear equations

    Students develop an understanding of number, recognizing fractions, decimals, and percents as different representations of rational numbers. Students extend addition, subtraction, multiplication, and division to all rational numbers.  Students interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers.  Students formulate expressions and equations in one variable and use these equations to solve problems.

    Solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume

    Students solve problems involving the area and circumference of a circle and surface area of three-dimensional objects. Students reason about relationships among two-dimensional figures using scale drawings and informal geometric constructions, and they gain familiarity with the relationships between angles formed by intersecting lines. Students work with three-dimensional figures by examining cross-sections. They 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.

    Drawing inferences about populations based on samples

    Students compare two data distributions and address questions about differences between populations. They use random sampling to generate data sets and learn about the importance of representative samples for drawing inferences.





    Surface areas of containers with non-perpendicular sides (pyramids, cones and spheres) 
    Volume of containers with non-perpendicular sides

    Data Analysis, Statistics and Probability

    Compound probability-independent and dependent events
    Box and Whisker Plots


    Percent as ratio, proportion and linear equations
    Properties of inequalities, linear inequalities
    Absolute value functions
    Addition, subtraction and multiplication of monomials and binomials

    Numbers and Operations

    Absolute value


    Three dimensional/two dimensional-mat plans, isometric drawings, nets
    Transversals Construction of parallel and perpendicular lines and self-similarity
    Similarity based on scale drawings
    Ratio and proportion




    Real Number System

    Complete the development of the real number system by developing the concept of irrational numbers and operations with irrationals.

    Equalities and Inequalities

    Reflective property of equality
    Symmetric property of equality
    Transitive property of inequality
    Transitive property of equality
    Substitution principle
    Addition property of equality
    Subtraction property of equality
    Multiplication property of equality
    Division property of equality
    Addition property of inequality
    Subtraction property of inequality
    Multiplication property of inequality
    Division property of inequality
    Applications of equations and inequalities including ratio and proportion, absolute value, etc.

    Graphs and Tables

    Simple matrices used to represent data and perform operations of addition, subtraction and scalar multiplication.
    Line of Best Fit will be used to model data sets. The y = mx + b and Ax + By = C forms will be utilized.
    Graphs will be used to represent data including stem and leaf, box and whisker and histogram

    Functions, Relations and Patterns

    Functions notation and vocabulary
    Functions represented algebraically, graphically, and as tables of values


    Operations with polynomials
    Factoring simple polynomials
    Solutions to quadratic functions by factoring and graphing
    Solutions to problems involving scientific notation