Math

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 multistep 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 threedimensional 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 threedimensional objects. Students reason about relationships among twodimensional figures using scale drawings and informal geometric constructions, and they gain familiarity with the relationships between angles formed by intersecting lines. Students work with threedimensional figures by examining crosssections. They solve realworld and mathematical problems involving area, surface area, and volume of two and threedimensional 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.
Prerequisites for rising 8th Grade students to enroll in PreAP Algebra I:
7th grade students who wish to enroll in PreAP Algebra I as 8th graders must have:
 teacher recommendation*
 a score in the "Exceeding" range on the ACT Aspire
 a score of 25 or higher on the Algebra Readiness Test given in the 4th quarter
 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 PreAP 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 nonperpendicular sides (pyramids, cones and spheres)
Volume of containers with nonperpendicular sidesData Analysis, Statistics and Probability
Compound probabilityindependent and dependent events
Box and Whisker PlotsAlgebra
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 OperationsAbsolute value
Geometry
Three dimensional/two dimensionalmat plans, isometric drawings, nets
Transversals Construction of parallel and perpendicular lines and selfsimilarity
Similarity based on scale drawings
Ratio and proportionPrerequisites for rising 9th Grade students to enroll in PreAP Algebra I:
8th grade students who wish to enroll in PreAP Algebra I as 9th graders must have:
 teacher recommendation*
 a score in the "Exceeding" range on the ACT Aspire
 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 histogramFunctions, Relations and Patterns
Functions notation and vocabulary
Functions represented algebraically, graphically, and as tables of valuesPolynomials
Operations with polynomials
Factoring simple polynomials
Solutions to quadratic functions by factoring and graphing
Solutions to problems involving scientific notationPrerequisites for rising 9th Grade students to enroll in Pre AP Geometry:
8th grade students who wish to enroll in PreAP Geometry as 9th graders must have:
 successfully completed PreAP Algebra I
 teacher recommendation*
 a score in the "Exceeding" range on the ACT Aspire
 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 diagramsGeometry of Dimensions
Distances and midpoints (1 and 2 dimensions)
Number line Cartesian coordinate system
Parallel and perpendicularslope of lines on rectangular coordinate system
Cross sectionsdraw and describe
Spherical GeometrynonEuclidean vocabularyGeometry 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 circleGeometry of Shape
Functions notation and vocabulary
Applications of Transformations and TessellationGeometry 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.