• Ramsey Junior High Math

     

    MAJOR TEACHING FOCUS FOR GRADE 7

    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.

     

    Pre-requisites for rising 8th Grade students to enroll in Pre-AP Algebra I:

    7th grade students who wish to enroll in Pre-AP Algebra I as 8th graders must have:

    1. teacher recommendation*
    2. a score in the "Exceeding" range on the ACT Aspire
    3. a score of 25 or higher on the Algebra Readiness Test given in the 4th quarter
    4. an overall grade of 90% or higher in 7th grade math

    Students must be strong in 3 of these 4 areas to be recommended to take Pre-AP Algebra I in the 8th grade.

    * Teacher recommendation takes into consideration such factors as attendance, work habits, problem solving skills, and the ability to learn new material quickly.


    MAJOR TEACHING FOCUS FOR GRADE 8


    Measurement

     
    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

    Algebra

    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

    Geometry

    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

    Pre-requisites for rising 9th Grade students to enroll in Pre-AP Algebra I:

    8th grade students who wish to enroll in Pre-AP Algebra I as 9th graders must have:

    1. teacher recommendation*
    2. a score in the "Exceeding" range on the ACT Aspire
    3. an overall grade of 90% or higher in 8th grade math

    * Teacher recommendation takes into consideration such factors as attendance, work habits, problem solving skills, and the ability to learn new material quickly.

    ALGEBRA I

    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

    Polynomials

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

     

    Pre-requisites for rising 9th Grade students to enroll in Pre- AP Geometry:

    8th grade students who wish to enroll in Pre-AP Geometry as 9th graders must have:

    1. successfully completed Pre-AP Algebra I
    2. teacher recommendation*
    3. a score in the "Exceeding" range on the ACT Aspire
    4. an overall grade of 90% or higher in Pre- AP Algebra I.

    * Teacher recommendation takes into consideration such factors as attendance, work habits, problem solving skills, and the ability to learn new material quickly.

    GEOMETRY

    Geometry of Patterns

    Inductive Reasoning
    Deductive Reasoning
    Logic (conditional statements)
    Venn diagrams

    Geometry of Dimensions

    Distances and midpoints (1 and 2 dimensions)
    Number line Cartesian coordinate system
    Parallel and perpendicular-slope of lines on rectangular coordinate system
    Cross sections-draw and describe
    Spherical Geometry-non-Euclidean vocabulary

    Geometry of Relationships

    Angles of polygons
    Altitudes, medians, perpendicular bisectors of triangles
    Right triangles
    Pythagorean Theorem
    Trigonometry relationships
    Platonic solids
    Circles
    Angles, arcs and sectors
    Equation of a circle

    Geometry of Shape

    Functions notation and vocabulary
    Applications of Transformations and Tessellation

    Geometry of Size

    Estimate the area under a simple closed curve
    Applications of the geometry of size (volume, surface area, area)
    Relationships between perimeter, area and volume

     

    * Teacher recommendation takes into consideration such factors as attendance, work habits, problem solving skills, and the ability to learn new material quickly.