• # 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
Subtraction property of equality
Multiplication property of equality
Division property of equality
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.