Pre-Algebra Syllabus
- Naming decimal places
- Reading and writing Integers
- Adding and subtracting Integers
- Multiplying and dividing Integers
- Naming decimal places
- Reading and writing decimal numbers
- Rounding decimal numbers
- Adding and subtracting decimal numbers
- Multiplying and dividing decimal numbers
- Factoring
- Greatest common factor (GCF)
- Least common multiple (LCM)
- Simplifying fractions
- Changing between fractions and decimals
- Adding and subtracting fractions/mixed numbers with like /unlike denominators
- Multiplying and dividing fractions/mixed numbers
- Variables and expressions
- The order of operations
- Evaluating expressions
- The distributive property
- Simplifying variable expressions
- Solving one-step equations by adding or subtracting integers/decimals/fractions
- Solving one-step equations by multiplying or dividing integers/decimals/fractions
- One-step equation word problems
- Solving two-step equations containing integers/decimals/fractions
- Two-step equation word problems
- Solving multi-step equations containing integers/decimals/fractions with variables on one or both sides Inequalities
- Inequalities and their graphs
- Solving one-step inequalities by adding or subtracting integers/decimals/fractions
- Solving one-step inequalities by multiplying or dividing integers/decimals/fractions
- Solving two-step inequalities containing integers/decimals/fractions
- Solving multi-step inequalities containing integers/decimals/fractions with variables on one or both sides
- Divisibility, factors, and factoring
- Exponents and multiplication (the product property of exponents)
- Exponents and division (the quotient property of exponents)
- Powers of products and quotients
- Reading and writing scientific notation
- Multiplying numbers in scientific notation
- Checking if fractions form a proportion
- Solving proportions
- Proportion word problems
- Similar figures
- Similar figure word problems
- Converting between fractions, decimals, and percents
- Percent word problems
- Percent of change
- Markup, tax, and discount
- Simple and compound interest
- Plotting points
- The midpoint formula
- Finding slope
- Slope-intercept form
- Standard form of a linear equation
- Writing linear equations
- Graphing linear inequalities
- Graphing systems of equations
- Solving systems of equations by substitution
- Systems of equations word problems
- Drawing and measuring angles
- Angle relationships and parallel lines
- Triangles (classifying, using angle sum)
- Quadrilaterals (classifying, using angle sum)
- Transformations: Rotations
- Transformations: Translations
- Transformations: Reflections
- Circles (circumference, area, radius, diameter, measuring)
- Area of parallelograms
- Area of triangles and trapezoids
- Solid Figures
- Classifying solids
- Volume of prisms and cones
- Volume of pyramids, cones, and spheres
- Surface area of prisms and cones
- Surface area of pyramids, cones, and spheres
- Right Triangles
- Square roots
- The Pythagorean Theorem
- The distance formula
- Arithmetic Sequences
- Geometric Sequences
- Fibonacci Sequence
- Functions
- Linear Functions
- Exponential Functions
- Quadratic Functions
- Direct and Inverse Variation
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Probability
Experimental Probability
Theoretical Probability
The Fundamental Counting Principle
Permutations and Combinations
Independent and Dependent Events
Odds
- Adding and subtracting polynomials
- Multiplying a polynomial and a monomial
- Multiplying binomials
- Sets
- Intersection and Union
- Venn Diagrams