## Mathematics

The objective of teaching Mathematics is to develop the skills of problem-solving and logical reasoning within learners. The curriculum is structured in a manner that each student is thoroughly clear of all the concepts by the end of the grade. The aim of Grade 6 is to provide learners with the introduction to complex concepts since they are proficient with the basic concepts learnt in primary grades.

## LEARNING OBJECTIVES

#### Concept

• The learner represents numbers up to seven-digits with ease.
• The learner develops an understanding of rational numbers  and ratios.
• The learner effectively analyzes complex shapes and patterns.
• The learner begins to understand basic concepts of algebra.
• The learner converts fractions into percentages.

#### Confidence

• The learner begins to understand the relationship between the height, the area of the base, and the volume of major 3-D figures , and  attempts  to develop the formula.
• The learner measures and construct angles up to 180° using a protractor, and  can also classify them as acute, right, obtuse, or straight angles.
• The learner builds relationships with comparable objects through observing the objects in depth.
• The learner gives intricate directions to objects and understands the reading of a compass.
• The learner recognizes quadrangles, pentagons, hexagons etc along with their major features.

#### Clarity

• The learner identifies and replicates  3-D figures with respect to their attributes such as angle, size and location.
• The learner demonstrates an understanding of different ways in which variables are used.
• The learner begins to describe pattern rules (in words) that generate patterns by adding or subtracting a constant, or multiplying or dividing by a constant.
• The learner determines the solution to a simple equation with one variable.
• The learner begins to make tables of values for growing pattern.

#### Application

• The learner applies mental strategies to solve addition, subtraction, multiplication and division problems.
• The learner develops the understanding of arithmetic  operations on decimal numbers.
• The learner organizes discrete data consisting of relatively complex digits and sequence.
• The learner develops the skill of selecting the appropriate type of standardized unit to measure various 2-D figures  and 3-D figures.
• The learner predicts growth and drop for basic numeric and geometric patterns.

#### Innovation

• The learner performs on DMAS (Division, Multiplication, Addition and Subtraction) problems on fractions and decimals.
• The learner develops the skill of answering to mathematical questions within capacities.
• The learner extends and create repeating patterns and shapes with proficiency.
• The learner solves problems requiring conversion of larger metric units to smaller units.
• The learner explores various kinds of 2-D and 3-D shapes.

#### Compassion

• The learner develops a habit for solving problems logically.
•  The learner motivates peers to solve arithmetic problems within capacities.
• The learner begins to work with others to promote qualities such as team-work.
• The learner develops the habit of respecting others.
• The learner realizes the importance of sharing through word problems based on division.

## LEARNING OUTCOMES

#### Concept - The learner is able to:

• Display an overall understanding of numbers with multi-digits;
• Recognize the kinds of fractions and decimals;
• Develop comfort with using fractions and ratios;
• Convert fractions into percentages.

#### Confidence - The learner is able to:

• Describe all kinds of 3-D figures;
• Measure angles of triangles;
• Analyze similar looking objects;
• Constructively discriminate between angles and sizes of similar objects;
• Indicate proper directions of  objects.

#### Clarity - The learner is able to:

• Create 3-D shapes like cube with definite attributes using tools such as protractor, scale or even computer software;
• Demonstrate variables as letters in equations consisting of numeric operations involving fractions or decimals;
• Understand the magnitude of growth or drop in a particular pattern and present it in a tabular form;
• Describe different kinds of 2-D and 3-D shapes;
• Read, interpret and draw conclusions from primary data.

#### Application - The learner is able to:

• Evaluate relatively complex dis-joined data with ease;
• Demonstrate information on bar graphs and tables;
• Understand the concept of standardized units of common 2-D and 3-D shapes;
• Collect data by conducting minor surveys;
• Compare different graphical representations of the same data.

#### Innovation - The learner is able to:

• Represent the probability of an event occurred in daily life;
• Develop inquisitiveness towards solving complex problems;
• Aspires to find logic for addition, subtraction, multiplication and division questions on fractions and decimals;
• Explore into deeper concepts involving word problems on division or multiplication of fractions or decimals and  its conversions;
• Analyze designs that involve rotations of  a shape.

#### Compassion - The learner is able to:

• Develop respect for everyone;
• Encourage peers to put in more efforts for understanding a particular topic;
• Cultivate the habit of finding the right solution with dedication;
• Aspire to deliver reason for concepts known;
• Develop the skill of working in a team.
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