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.

MAJOR TEACHING FOCUS FOR GRADE 8
Measurement 

Surface areas of containers with nonperpendicular sides (pyramids, cones and spheres) 

Volume of containers with nonperpendicular sides 
Data Analysis, Statistics and Probability 

Compound probabilityindependent 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 dimensionalmat plans, isometric drawings, nets 

Transversals Construction of parallel and perpendicular lines and selfsimilarity 

Similarity based on scale drawings 

Ratio and proportion

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 
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 perpendicularslope of lines on rectangular coordinate system 

Cross sectionsdraw and describe 

Spherical GeometrynonEuclidean 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 
PREREQUISITE CRITERIA FOR PREAP ALGEBRA
Seventh grade students are recommended for placement in PreAP Algebra in the eighth grade if the student is very strong in at least three of the following four areas:
1. Students must have scored Advanced on the 6th grade administration of the ACTAAP. 
2. Students must score at least 25 out of 30 on the Algebra Readiness Exam given during the third quarter of the seventh grade. 
3. Students must maintain at least a 90% average in their math class. 
4. Teacher recommendation* 
Eighth grade students are recommended for placement in PreAP Algebra in the ninth grade if the student is very strong in at least two of the following three areas:
1. Students must have scored Proficient or Advanced on the 7th grade administration of the ACTAAP. 
2. Students must maintain at least a 90% average in Prealgebra. 
3. Teacher recommendation* 
PREREQUISITE CRITERIA FOR PREAP GEOMETRY
1. Students must maintain at least a 90% average in PreAP Algebra I. 
2. Teacher recommendation* 
* Teacher recommendation takes into consideration such factors as attendance, work habits, problem solving skills, and the ability to learn new material quickly.