Accelerated High School
Standardized Curriculum of General Mathematics-VI
Mathematical knowledge and skills are essential for navigating the complexities of the 21st century. Understanding and applying mathematical concepts is crucial for personal decision-making, civic participation, and career readiness. Accelerated High School (AHS) aligns its curriculum with various educational standards to ensure comprehensive coverage of mathematical principles and their practical applications.
Mission:
All students will understand the mathematical concepts and processes required for personal decision-making, participation in civic life, and preparation for future academic and career pursuits.
Vision:
Prepare students to become mathematically literate individuals who can effectively:
- Apply mathematical thinking and skills to solve real-world problems.
- Engage in logical reasoning and develop problem-solving strategies.
- Conduct investigations, analyze data, and interpret results.
- Communicate mathematical ideas through various forms, including reports, presentations, and visual displays.
Spirit and Intent:
The AHS Mathematics Curriculum ensures that students in Grade 6 build a strong foundation in number systems, algebraic thinking, geometry, measurement, probability, and statistics, while connecting mathematics to real-world applications.
Four Dimensions of AHS Mathematics Curriculum:
- Fluency with operations on whole numbers, decimals, fractions, and integers.
- Connecting ratios, rates, and percentages to everyday applications.
- Extending understanding of algebra, equations, geometry, and measurement.
- Developing statistical literacy and probability-based reasoning.
Curriculum for Grade-VI Mathematics
Standard 1: Numbers & Operations
Learning Objectives:
- Strengthen number sense through whole numbers, decimals, fractions, and integers.
- Apply all four operations in real-life problem-solving contexts.
- Develop understanding of factors, multiples, HCF, and LCM.
- Estimate results to check the reasonableness of answers.
Topics of AHS-M:
- Place Value, Roman Numerals, Word Names
- Addition, Subtraction, Multiplication, Division (with Word Problems)
- Number Theory: Prime/Composite, Factors, Multiples, HCF & LCM
- Decimals: Place Value, Comparing, Rounding, Conversions
- Fractions: Equivalent, Comparing, Simplifying, Improper ↔ Mixed Numbers
- Fraction & Decimal Operations (Add, Subtract, Word Problems)
- Integers: Number Line, Ordering, Operations, Rules for Signs
- Mixed Operations (Whole Numbers, Decimals, Fractions, Integers)
- Simplification (BODMAS, Roots, Ratios, Algebraic Expressions)
- Sequences: Number Patterns, AP, GP, Special Sequences
- Financial Math: Percentages, Profit/Loss, Discount, Simple Interest
Standard 2: Algebraic Thinking & Equations
Learning Objectives:
- Develop algebraic reasoning and use variables to represent unknowns.
- Write and evaluate algebraic expressions.
- Apply properties of operations (commutative, associative, distributive).
- Solve simple equations and inequalities in real-life contexts.
Topics of AHS-M:
- Algebra Basics: Expressions, Properties, Distributive Law
- Evaluating & Writing Expressions from Word Problems
- Solving Equations & Simple Inequalities
- Ratios, Rates, Proportions, Scale Drawings
- Coordinate Geometry: Cartesian Plane, Plotting Points, Distance, Midpoint, Slope, Linear Equations
Standard 3: Geometry & Measurement
Learning Objectives:
- Recognize, classify, and analyze 2D and 3D shapes.
- Apply properties of polygons, circles, and angles.
- Explore transformations: symmetry, reflection, rotation, translation.
- Apply measurement concepts for perimeter, area, surface area, and volume.
- Use geometric constructions for problem solving.
Topics of AHS-M:
- Geometry Basics: Polygons, Angles, Triangles, Quadrilaterals, Circles
- Symmetry: Lines, Rotations, Reflections, Similarity & Congruence
- Constructions: Bisectors, Perpendiculars, Equilateral Triangle, Hexagon
- 3D Shapes: Identifying, Nets, Views, Vertices/Edges/Faces
- Measurement Skills: Perimeter, Area (simple & compound), Volume
- Motion & Measurement: Speed, Distance, Time, Unit Conversions
- Time Skills: Elapsed Time, Clocks, Transport Schedules
- Money Skills: Add/Subtract, Multiply/Divide with Word Problems
Standard 4: Data Handling & Probability
Learning Objectives:
- Collect, organize, and represent data using multiple formats.
- Interpret and compare graphs, charts, and tables.
- Understand measures of central tendency: mean, median, mode, range.
- Explore chance, outcomes, and predictions through probability models.
Topics of AHS-M:
- Data Handling: Pictographs, Bar Graphs, Line Graphs, Histograms, Stem-and-Leaf Plots
- Statistics: Collecting Data, Frequency Tables, Mean, Median, Mode, Range
- Probability: Outcomes, Predictions, Combinations, Compound Events
Standard 5: Mathematical Reasoning & Applications
Learning Objectives:
- Strengthen logical reasoning through complex word problems.
- Apply strategies such as estimation, guess-and-check, and reasoning to solve multi-step problems.
- Connect mathematical concepts to real-life contexts in finance, travel, science, and daily decision-making.
Topics of AHS-M:
- Problem Solving: Multi-Step, Extra/Missing Info, Logical Reasoning
- Real-Life Applications: Shopping, Banking, Travel, Measurement Contexts
