GRADE 10-11 COURSE PARTICULARS
Grade 10 high school math is a foundational year that transitions students from elementary algebra to higher-level mathematics, primarily focusing on Functions, Advanced Algebra, and an introduction to Analytical Geometry and Trigonometry.
1. Advanced Algebra and Number Theory
This section builds fluency with manipulation and simplification techniques.
-Exponents and Powers: Understanding and applying all exponent laws to both integral (positive and negative) and sometimes rational bases.
-Polynomials: Mastery of multiplication of polynomials (especially binomials like (x+a)(x+b)) and advanced factoring techniques (GCF, trinomials, difference of squares).
-Systems of Linear Equations: Solving two-variable linear systems using graphing, substitution, and elimination methods, and applying them to real-world word problems.
2. Relations and Functions
This is the most critical conceptual shift, introducing the formal idea of a function.
-Functions and Relations: Defining a function, identifying the domain and range, and understanding and using function notation .
-Linear Functions: Deep dive into linear relationships, including finding the slope from two points, writing equations in various forms (slope-intercept, standard, point-slope), and understanding parallel and perpendicular lines.
-Arithmetic Sequences: Recognizing and working with linear patterns, connecting them to linear functions through the general term and common difference
3. Analytic Geometry and Quadratics
This introduces graphing functions beyond the straight line and locating geometric figures on the coordinate plane.
-Quadratic Relations: Introduction to the parabola as the graph of a quadratic function . This involves graphing from vertex form , factored form, and standard form.
-Analytic Geometry: Using algebraic formulas to analyze geometric figures. Key concepts include the distance formula, the midpoint formula, and understanding the equation of a circle.
-Solving Quadratics: Methods for finding the roots/zeros/x-intercepts of quadratic equations using factoring, and sometimes an introduction to the Quadratic Formula.
4. Geometry and Trigonometry
The focus here is typically on right-angle geometry and its applications.
-Right-Angle Trigonometry: Applying the primary trigonometric ratios to solve for missing sides and angles in right-angle triangles.
-Measurement: Working with 2-D and 3-D objects, often involving metric and imperial conversions, calculating surface area and volume (prisms and cylinders), and applying the Pythagorean Theorem.
ESSENTIALS
In math class, essentials include Graphing Calculator , Advanced Scientific Calculator, 3-Ring Binder (1.5" minimum) OR 3-Subject Spiral Notebook, Graph Paper, Loose-Leaf Lined Paper, Formula Sheet/Index Cards, Mechanical Pencils (or good quality wood pencils) & Erasers and lastly highlighters/ Colored Pens,Ruler,Geometry Set (Protractor & Compass)
A Grade 10 Mickelson math workbook
A Grade 11 Mickelson math workbook
The overall scope for grade 11 highschool math is to solidify abstract reasoning and provide the functional toolkit required for university-level mathematics and sciences
1. Advanced Functions and Relations
This is the most critical area, expanding on the linear and quadratic functions from Grade 10.
-Function Properties: Comprehensive study of domain, range, and formal function notation (f(x)).
-Transformations: Mastery of function graphing using parameters . This includes translations (shifts), reflections, and stretches/compressions.
-Inverse Functions: Understanding and determining the inverse function, , and its graphical relationship (reflection over y=x).
This image shows a protractor and a straight ruler which are essential in math class
Credits for this page goes to the following sources and websites:
1. Curriculum Structure & Pathways
2. Confirmed Grade 10 Topics (Foundations/Pre-Calculus 10)
3. Confirmed Grade 11 Topics (Pre-Calculus 11)
4.United States (US) - Algebra II/Pre-Calculus Track
CONCLUSION
In Summary, the Palmer Secondary curriculum for math 10-11 provides the essential language and tools necessary to model and solve real-world problems. By mastering the behavior of Quadratic, Exponential, and Trigonometric Functions, alongside advanced Algebraic Manipulation and Analytic Geometry, students gain the mathematical maturity required to analyze rates of change, model periodic phenomena, and confidently embark upon the rigors of Pre-Calculus and Calculus
2. Advanced Algebra and Equations
This section emphasizes the skills necessary to handle equations encountered in the function units.
-Radicals and Rational Exponents: Applying exponent laws to expressions involving roots and fractional exponents. Solving radical equations.
-Rational Expressions and Equations: Factoring polynomials to simplify, multiply, divide, add, and subtract algebraic fractions and solving rational equations.
-Sequences and Series: Defining and applying formulas for Arithmetic and Geometric sequences and calculating the sum of their corresponding series
3. Systems, Inequalities, and Conic Sections
-Solving Systems: Solving non-linear systems of equations, most commonly a linear equation and a quadratic equation, or two quadratic equations.
-Inequalities: Solving and graphing linear and quadratic inequalities in two variables, often leading to Optimization problems (Linear Programming).
-Conic Sections (Pre-Calculus Track): Analyzing and graphing circles, ellipses, parabolas, and hyperbolas from their standard equations.
4. Probability, Statistics, and Financial Literacy
These applied areas use algebra to solve real-world problems.
Counting Principles: Using the Fundamental Counting Principle, Permutations, and Combinations to determine the number of possible outcomes.
Probability: Calculating probabilities for various events, including dependent and independent events.
Financial Math: Deep dive into Compound Interest and applying formulas for Future Value (FV) and Present Value (PV) of investments and loans
This image explains the linear equalities in algebra using a number line
This image shows a coordinate explanation on a graph with axis