In all grade levels in middle school, students utilize the Math in Focus Texts as well as additional resources to follow Singapore Math practices, align with Common Core and develop their proficiency in the following nine mathematical practices set forth by the National Council of Teachers of Math and the Mathematics Education Leadership Association:

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
9. Solve problems in novel ways and pose new mathematical questions of interest to investigate.

Students study arithmetic, algebraic operations, and other skills as critical tools in solving problems of progressively greater complexity. Through engaging explorations and investigations, each student is challenged to achieve conceptual understanding.

##### Pre-Algebra I

Pre-Algebra 1 is a 7th grade curriculum based on Singapore Math-In Focus Texts A & B Course 2.

Each unit in Math In-Focus focuses on a particular area of mathematics while presenting students with guided opportunities for mathematical analysis and problem solving.  Topics covered in Pre-Algebra I include:

• The Real Number System
• Rational Number Operations
• Algebraic Expressions
• Algebraic Expressions and Inequalities
• Direct and Inverse Proportion
• Angle Properties and Straight Lines
• Geometric Construction
• Volume and Surface Area of Solids
• Statistics
• Probability
• Integers, absolute value, & integer operations
• Simplifying fractions (mixed vs improper)
• Multiplying & dividing fractions
• Fractions, decimals, & percent conversion
• Exponents, zero exponents, negative exponents
• Perfect squares & perfect cubes
• Square roots & cube roots
• Scientific notation
• Comparing & ordering number forms
• Order of operations
• Evaluating expressions
• The real number system
• Properties of real numbers
• Translating expressions
• Combining like terms
• Distributive property
• Simplifying expressions (distribute & combine)
• Factoring expressions
• Simplify vs. factor
• One-step equations
• Rational equations
• Two-step equations
• Multi-step equations
• Variables on both sides
• Special cases: no so/all so
• Solve by clearing fractions
• Translating equations
• Applications
• Writing & graphing inequalities
• One and two-step inequalities
• Translating inequalities
• Multi-step inequalities
• Ratio, rates, unit rates
• Proportional vs. non proportional relationships
• Solving proportions
• Proportion word problems
• Scale drawings and models
• Similar figures
• Indirect measurement
• Percent proportion
• Percent equation
• Discount, mark-up, sales tax, tip
• Percent of change
• Simple interest
• Relations vs. functions
• Domain & range
• Graphing linear functions by table
• Slope (from a graph & slope formula)
• Slope-intercept form
• Writing linear equations given a graph
• Standard form
• Linear vs. nonlinear functions
• Slope-intercept form applications
• Proportional relationships (direct variation)
• Systems of equations - solve by:
• Graphing
• Substitution
• Elimination
• Applications
• Special cases
• Types of angles & basic angle relationships
• Parallel lines cut by a transversal
• Classifying triangles
• Triangle sum theorem
• Pythagorean theorem & converse
• Pythagorean theorem word problems
• Congruent polygons
• Reflections
• Translations
• Rotation
• Dilations
• Perimeter & area of plane figures
• Area and circumference of circles
• Area and perimeter of composite figures
• 3D figures & slicing 3D figures
• Volume of prisms & cylinders
• Volume of pyramids & cones
• Surface area of prisms & cylinders
• Surface area of pyramids & cones
• Volume & surface area of spheres
• Perimeter & area of similar figures
• Volume & surface area of similar solids
• Effects of changing dimensions
• Counting principle & tree diagrams
• Simple probability
• Compound probability: independent and dependent events
• Theoretical vs. experimental probability
• Measure of central tendency
• Mean absolute deviation
• Box-and-whisker plots
• Scatter plots
• Line of best fit
• Two-way tables
• Relative frequency