Accelerated High School
Standardized Curriculum of Mathematics-VI
Mathematical knowledge and skills are essential for navigating the complexities of the 21st century. Understanding and applying mathematical concepts is crucial for making informed personal decisions, engaging in civic participation, and achieving 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 necessary for informed decision-making, active 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: Ratios and Proportional Relationships
Learning Objectives:
- Understand ratio concepts and use ratio language to describe a relationship between two quantities.
- Use ratio reasoning to solve real-world and mathematical problems.
- Understand the concept of a unit rate and use rate reasoning to solve problems.
- Represent proportional relationships using tables, graphs, and equations.
Topics of AHS-M:
Writing Ratios
- Ratio concepts and equivalent ratios
- Unit rate problems
Ratio Tables
- Ratio tables and double number lines
- Converting measurement units using ratio reasoning
Solving Proportions
- Solving word problems involving proportions
Standard 2: The Number System
Learning Objectives:
- Interpret and compute quotients of fractions and solve word problems involving division of fractions by fractions.
- Fluently divide multi-digit numbers using the standard algorithm.
- Add, subtract, multiply, and divide multi-digit decimals.
- Find common factors and multiples.
- Understand negative numbers and represent them on the number line.
- Compare and order integers and rational numbers.
- Apply absolute value in real-world contexts.
Topics of AHS-M:
Factors and Multiples
- Factors and multiples
- Prime and composite numbers
- Common factors and least common multiples
Fraction Operations
- Operations with fractions (addition, subtraction, multiplication, division)
- Operations with decimals
Integer Operations
- Integers and their operations
- Absolute value and number line concepts
- Rational numbers and coordinate plane representation
Standard 3: Expressions and Equations
Learning Objectives:
- Write and evaluate numerical expressions involving whole-number exponents.
- Apply the order of operations to solve expressions.
- Write, read, and evaluate expressions in which letters stand for numbers.
- Identify parts of an expression using mathematical terminology.
- Generate equivalent expressions using mathematical properties.
- Solve one-step and two-step equations and inequalities.
- Represent and analyze quantitative relationships between dependent and independent variables.
Topics of AHS-M:
Algebra Basics
- Exponents and powers
- Order of operations (PEMDAS)
- Algebraic expressions and variables
- Simplifying expressions
Equations and Inequalities
- Dependent and independent variables
- Problem-solving using algebraic models
Standard 4: Data Handling & Probability
Learning Objectives:
- Find the area of right triangles, quadrilaterals, and polygons by composing or decomposing shapes.
- Apply formulas for the area, surface area, and volume of 3D shapes.
- Use nets to find the surface area of three-dimensional figures.
- Draw polygons in the coordinate plane, given coordinates for the vertices.
- Solve real-world problems involving geometric measurement.
Topics of AHS-M:
Geometric Basics
- Polygons and their properties
- Coordinate plane and plotting points
- Perimeter and area of triangles, rectangles, and parallelograms
- Surface area and volume of cubes and rectangular prisms
3D Shapes
- Nets of 3D shapes
- Distance between points on the coordinate plane
Standard 5: Mathematical Reasoning & Applications
Learning Objectives:
- Develop understanding of statistical variability.
- Summarise and describe distributions.
- Recognise a statistical question and collect data to answer it.
- Display data in dot plots, histograms, and box plots.
- Calculate measures of centre (mean, median, mode)
- Variability (range, interquartile range).
- Interpret and analyse data in real-life contexts.
Topics of AHS-M:
Data Handling
- Data collection and representation
- Mean, median, mode, and range
- Frequency tables, line plots, and bar graphs
- Histograms and box plots
- Interpreting data and drawing conclusions
- Probability and chance experiments
- Real-world statistical investigations
