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# Primary School Math Tuition | PSLE Math Tuition

APM’s Primary School Math Tuition is meticulously crafted to prepare students to achieve PSLE success starting from Primary 3 where layers of foundation are constantly laid and materialized through our proven methods of revision. By Primary 6, our students will have the necessary skills, aptitude and confidence to embrace PSLE Mathematics. To help our students revise effectively, we provide comprehensive notes, concept maps and regular practice papers. Our curriculum materials are constantly kept abreast with prevailing PSLE trends to ensure that students are ready for the more current questions types

With a small class size of 6 (max 8), we ensure that every student receive our dedicated attention during our classes. Quizzes, games and real-world projects make the learning of Mathematics interactive, fun and real for our students. We champion consistency and active learning in students, equipping them with the skills and wits to carve out their edge in Mathematics / Math and eventually ACE the PSLE examination.

To prepare students for PSLE success and beyond, our students will be exposed to topical revision through comprehensive concept maps and noteworthy past examination questions during our Primary School Math Tuition. Students will further solidify their examination skills through error analysis exercises and practice tests.

## Primary School Math Tuition Curriculum

### Primary 3

#### Whole Numbers up to 10 000

• Number notation and place values
• Comparing and ordering numbers
• Forming numbers • Number patterns

#### Addition and Subtraction

• Addition and subtraction within 10 000
• Mental addition and subtraction within 1 000
• Sum and difference • Word problems

#### Multiplication and Division

• Multiplication and division within the tables of 6, 7, 8 and 9
• Multiplication and division up to 3 digits by 1 digit
• Grouping and product
• Quotient and remainder
• Word problems

#### Money

• Equivalent amount of money
• Converting an amount of money in decimal notation
• to cents and vice versa
• Adding and subtracting of money
• Word problems

#### Fractions

• Notation and representations of fractions
• Equivalent fractions
• Simplifying fractions
• Comparing and ordering fractions
• Addition and subtraction of fractions within one whole
• Word problems

#### Length

• Measuring and comparing length in compound units (km and m / m and cm)
• Estimating length of real-life objects (km, m and cm)
• Converting length in compound units to the smaller unit and vice versa (km and m / m and cm)
• Solving word problems

#### Mass

• Measuring and comparing mass in compound units (kg and g)
• Estimating mass of real-life objects (kg and g)
• Converting mass in compound units to the smaller unit and vice versa (kg and g)
• Solving word problems

#### Volume

• Measuring and comparing volume of liquid in compound units (mL and L)
Estimating volume of real-life objects (mL and L)
Converting volume in compound units to the smaller unit and vice versa (mL and L)
Solving word problems

#### Time

• Telling time using ‘past’ and ‘to’
• Telling and comparing time in hours and minutes
• Converting time from hours and minutes to total number of minutes, and vice versa
• Finding the starting time, finishing time or duration given the other two quantities
• Solving word problems

#### Bar Graphs

• Reading and interpreting bar graphs
• Solving word problems

#### Geometry

• Right angles, acute angles and obtuse angles
• Parallel and perpendicular lines

#### Area and Perimeter

• Area and perimeter of squares, rectangles and composite figures
• Area involving transformation of shapes
• Area involving shaded parts

### Primary 4

#### Whole Numbers up to 100 000

• Number notation and place values
• Rounding off numbers
• Factors and multiples
• Prime numbers*
• Prime factorization and factor tree*
• Order of operations*
• Word problems

#### Fractions

• Conversion between improper fractions and mixed numbers
• Addition and subtraction of improper fractions and mixed numbers
• Multiplication of fractions
• Word problems

#### Decimals

• Number notation and place values
• Ordering decimals
• Conversion between decimals and fractions
• Addition and subtraction of decimals
• Multiplication and division of decimals
• Rounding off decimals
• Word problems

#### Area and Perimeter

• Area and perimeter of composite figures
• Area and perimeter involving borders, overlaps, optimization and fractions

#### Patterns

• Grouping
• Linear patterns
• Square patterns

#### Geometry

• Right angles, acute angles and obtuse angles
• Measuring and constructing angles using a protractor
• Angles in squares and rectangles
• Angles in triangles and quadrilaterals*
• Cardinal directions
• Parallel and perpendicular lines

#### Symmetry

• Identifying symmetric figures and lines of symmetry
• Completing symmetric figures

#### Tables and Graphs

• Reading and interpreting tables, bar graphs and line graphs
• Solving word problems

#### Average*

• Mean, median and mode
• Change in average

#### Number Sequences*

• Recognizing simple patterns from various number sequences
• Completing number sequences
• Triangular numbers, Pascal triangle, Fibonacci sequence and factorials

#### Tessellations*

• Identifying unit shapes
• Drawing and completing tessellations

Note: * denotes GEP components

### Primary 5

#### Whole Numbers up to 10 000 000

• Number notation and place values
• Rounding off numbers
• Factors and multiples
• Order of operations
• Prime factorization and index notation*
• Divisibility rules*
• Word problems

#### Fractions

• Four operations of mixed numbers and improper fractions
• Simplifying nested fractions*
• Word problems

#### Area of Triangles

• Identifying base and height of a triangle
• Proportionality of area and height of triangles with the same base
• Proportionality of area and base of triangles with the same height

#### Ratio

• Ratio of two or more quantities
• Equivalent ratios
• Word problems

#### Measurements

• Converting measurement (length, mass and volume) in compound units to the smaller unit and vice versa

#### Decimals

• Four operations of decimals
• Recurring decimals*
• Word problems

#### Area and Perimeter

• Overlapping areas
• Folded and enclosed areas
• Area and perimeter of composite figures

#### Average

• Average of given data set
• Finding unknown quantity given average
• Change in average

#### Volume and Surface Area

• Volume of cubes and cuboids
• Surface area of cubes and cuboids
• Fitting cubes and cuboids in a container
• Finding volume in containers with holes, submerged objects and conjoined parts

#### Rates

• Constant rates
• Combined rates
• Multiple rates

#### Percentage

• Conversion between fractions, decimals and percentages
• Expression of one quantity as a percentage of another
• Finding percentage increase or decrease
• Word problems involving percentage, discount, tax and interest

#### Geometry

• Vertically-opposite angles, interior angles, corresponding angles and alternate angles
• Angle properties of triangles
• Angle properties of quadrilaterals (including trapeziums, parallelograms, rectangles, rhombuses, squares and kites)
• Geometrical construction of triangles and four-sided figures
• Geometrical properties of polygons*

#### Tables and Graphs

• Reading and interpreting tables, bar graphs and line graphs
• Word problems

#### Number Patterns

• Gauss summation
• Triangular patterns
• Inference from diagrams
• Method of finite differences*
• Introduction to Pascal’s triangle, Fibonacci sequence and factorials*

#### Solid Figures*

• Views of a solid
• Nets

#### Investigative Problem Solving*

• Application-based questions
• Logical-reasoning questions

Note: * denotes GEP components

### Primary 6

#### Algebra

• Simplifying algebraic expressions
• Evaluating simple algebraic expressions by substitution
• Word problems

#### Speed

• Relationship between distance, time and speed
• Word problems involving speed, average speed, ‘meetup’ and ‘catch-up’ concepts

#### Circles

• Area and circumference of circles
• Area and perimeter of semicircles and quarter circles

#### Area and Perimeter

• Overlapping areas
• Folded and enclosed areas
• Area and perimeter of composite figures involving squares, rectangles, triangles, semicircles and quarter circles

#### Solid Figures

• Two-dimensional representation of cubes, cuboids, cones, cylinders, prisms and pyramids
• Nets of cubes, cuboids, prisms and pyramids

#### Pie Charts

• Reading and interpreting pie charts
• Word problems

#### Rates

• Direct proportion
• Inverse proportion

#### Whole Numbers (Revision)

• Number notation and place values
• Rounding off numbers
• Factors and multiples
• Order of operations
• Word problems

#### Fractions (Revision)

• Four operations of mixed numbers and improper fractions
• Word problems

#### Decimals (Revision)

• Four operations of decimals
• Word problems

#### Percentage (Revision)

• Conversion between fractions, decimals and percentages
• Expression of one quantity as a percentage of another
• Finding percentage increase or decrease
• Word problems involving percentage, discount, tax and interest

#### Ratio (Revision)

• Ratio of two or more quantities
• Equivalent ratios
• Word problems

#### Average (Revision)

• Average of given data set
• Finding unknown quantity given average
• Change in average

#### Number Patterns (Revision)

• Gauss summation
• Linear patterns
• Triangular patterns
• Square patterns
• Inference from diagrams

#### Geometry (Revision)

• Vertically-opposite angles, interior angles, corresponding angles and alternate angle
• Angle properties of triangles
• Angle properties of quadrilaterals (including trapeziums, parallelograms, rectangles, rhombuses, squares and kites)
• Geometrical construction of triangles and four-sided figures

#### Volume and Surface Area (Revision)

• Volume of cubes and cuboids
• Surface area of cubes and cuboids
• Fitting cubes and cuboids in a container
• Finding volume in containers with holes, submerged objects and conjoined parts

Note: * denotes GEP components

## Primary School Math Tuition Highlights

##### Content Mastery
• In Primary 3, students will master new topics including area and perimeter, angles, parallel and perpendicular lines and bar graphs. Students will also hone their problem-solving skills by applying heuristics including advanced model drawing, making a supposition and forming equations. In addition, they will learn to use specific tools, including the set-square and a ruler to draw parallel and perpendicular lines.
• In Primary 4, students will master new topics such as decimals and symmetry. Students will also hone their problem-solving skills by applying heuristics including advanced model drawing, branching and unitary method. In addition, they will learn to use specific tools to measure and construct angles.
• In Primary 5, students will learn new concepts in topics such as area of triangles, ratio, volume, rates, average and percentage. Additionally, they will learn and apply heuristics such as making a table, working backwards, forming equations, branching and unitary method to solve problems effectively. Students will also use calculators to solve word problems in Paper 2. They will hone examination skills such as error analysis and time management through practice tests.
• In Primary 6, students will complete the PSLE syllabus including learning new topics such as algebra, circles, speed and pie charts. Students will master key heuristics such as unitary method, units and parts and comparing difference to solve questions more efficiently.
##### Skills and Techniques
• Students will be trained to apply various heuristics to solve complex word problems involving multiple topics/concepts and tackle non-routine problems
• Students will learn techniques for checking answers, such as checking for reasonableness and working backwards
• Students will analyze and reflect on how to apply the most efficient techniques for exams and to avoid errors
• Students will be trained on other examination skills such as proper time management, effective stress management techniques and presenting solutions neatly
• Students will explore and hone their logical reasoning skills through puzzles
• Students will reinforce new concepts learnt through card games and online games
##### Revision and Reinforcement
• Towards Mid or PSLE Exam, APM’s Math Tuition focuses on revising and mastering all the topics through practice tests and revision handouts, which include questions that test foundational knowledge and examination questions
• Hone key examination skills such as time management and error analysis with practices on specific question types

## Key Features of Our Primary School Math Tuition Classes ### Small Class Size

2 to 8 students

Conducive Learning Environment ### Customized Coaching

Reinforcing current school topics

1 to 1 Coaching ### Hones Exam Skills

Time Management Skills

Exam Questions Training ### Proven Track Records

> 86% Scoring A

> 93% improvement ### Lesson Duration

2 Hrs Weekly (Sec & JC)

1.5 Hrs Weekly (Pri)

KJ said he wants to tell you his new score.

He got 95!

Please pretend don’t know. We are happy for him!

Kang Jie's Mom

Primary 5 Math, Evergreen Primary School

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