Best K-5 Grade elementary math tutoring

Elementary School Math Curriculum

 

Kindergarten Math Curriculum:
 

Basic mathematics part 1:

• The Numbers 1 to 5
• The numbers 6 to 9
• Ordinal numbers 1-9
• Zero and the Counting Numbers 1 to 9
• The Number 10
• The Numbers 11 to 20
• The numbers 20 to 99

 

Using and applying number:

• Using Place Value to Order Numbers up to 20

 

Calculations:

• Simple addition up to the number 10
• Simple addition up to the number 20
• Subtraction up to the number 10
• Subtraction: by comparison

 

Measurement – Length:

• Compare length by using informal units of measurement

 

Measurement – Mass:

• Introducing the concept of mass

 

Area:

• Comparing and ordering areas

 

Time:

• Months and Seasons of the year
• Days of the Week
• Duration
• Units of time

 

Space:

• Recognise and name triangles
• Recognise and name pyramids according to spatial properties
• Recognise nets for prisms, pyramids, cubes and cones
• Viewing 3-D Shapes

 

Geometry part 1:

• Special triangles
• Quadrilaterals

 

3-D shapes:

• Recognise and name prisms according to spatial properties

 

Graphs – Basic:

• Picture Graphs

 

1st Grade Math Curriculum:

 

Readiness:

• Review of the Previous grade

 

Basic mathematics part 1:

• Multiples of 10 up to 100
• Multiplication using repeated addition
• The number 100
• Addition up to the number 99
• Subtraction up to the number 99
• Subtraction with Word Problems

 

Measurement – Length:

• Using the metre as a formal unit to measure perimeter

 

Measurement – Mass:

• Introducing the concept of mass

 

Area:

• Comparing and ordering areas.

 

Time:

• O’clock and half past using digital time
• O’clock and half past on the analogue clock

 

Geometry part 1:

• Recognise and name triangles
• Recognise and name pyramids according to spatial properties

 

3-D shapes & Space:

• Recognise nets for prisms, pyramids, cubes and cones
• Viewing 3-D Shapes
• Position

 

Data:

• Bar Charts

 

Graphs – Basic:

• Line Graphs
• Pie and Bar Graphs

 

2nd Grade Math Curriculum:
 

Readiness :

• Review of the Previous grade

 

Basic mathematics part 1:

• The numbers 100 to 999
• Subtraction with trading
• Subtraction with Word Problems
• Multiplication with important facts
• Multiplication using equal groups
• Multiplication using repeated addition
• Multiples of 10 up to 100
• Strategies for division

 

Basic mathematics part 2:

• Solve and record division using known facts and sharing
• Addition up to the number 999
• Subtraction up to the number 999
• Multiplication using extended algorithms
• Multiplication by 2 and 3 Digits

 

Fractions:

• Using fractions 1/2, 1/4, 1/8 to describe part of a whole
• Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
• Comparing and ordering fractions
• Fractions 1/5, 1/10, 1/100
• mixed numbers (mixed numerals)
• Improper fractions

 

Decimals:

• Intro to Decimals
• Comparing and ordering decimals to two decimal places
• Decimals with whole numbers 10th and 100th
• Using decimals – shopping problems

 

Measurement – Length:

• Compare length by using informal units of measurement
• Using the metre as a formal unit to measure perimeter
• Compare and convert formal units of measurement
• Using the formal unit of the centimetre to measure length and perimeter

 

Time:

• Units of time
• am and pm time
• Quarter past and quarter to
• Relating analogue and digital time
• O’clock and half past using digital time
• O’clock and half past on the analogue clock

 

3-D shapes & Space:

• Recognise and name prisms according to spatial properties
• Recognise and name pyramids according to spatial properties
• Recognise nets for prisms, pyramids, cubes and cones
• Viewing 3-D Shapes
• Recognise and name triangles
• Use grids to enlarge/reduce 2-D shapes

 

Statistics part 1:

• The Range
• The Mode

 

3rd Grade Math Curriculum:

 

Readiness:

• Review of the Previous grade

 

Basic mathematics part 2:

• The numbers 1000 to 9999
• Addition up to the number 999
• Subtraction up to the number 999
• Addition to 9999 and beyond
• Subtraction involving four digit numbers and beyond using the renaming method.
• Multiples and factors of whole numbers
• Solve and record division using known facts and sharing
• Multiplication using extended algorithms
• Dividing two and three-digit numbers by a single-digit number

 

Problem solving:

• Problem Solving Strategies
• Word Problems with Numbers

 

Money:

• Problems involving money

 

Fractions:

• Using fractions 1/2, 1/4, 1/8 to describe part of a whole
• Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection
• Comparing and ordering fractions
• mixed numbers (mixed numerals)
• Improper fractions
• Fractions 1/5, 1/10, 1/100
• Finding equivalent fractions
• Adding and subtracting fractions with the same denominator

 

Decimals:

• Intro to Decimals
• Comparing and ordering decimals to two decimal places
• Decimals with whole numbers 10th and 100th
• Adding decimals to two decimal places
• Subtracting decimals to two decimal places
• Using decimals to record length
• Using decimals – shopping problems

 

Area:

• Comparing and ordering areas.

 

Algebra-Basic:

• Solving Equations containing Addition and Subtraction

 

Rules properties:

• Using Order of Operation procedures (BIDMAS) with Fractions

 

Problem solving:

• Sign Words
• Word Problems with Area
• Word Problems with Length

 

Number sets:

• Addition and Multiplication Properties for Real Numbers

 

Measurement – Capacity:

• Using the cubic cm and displacement to measure volume and capacity
• Estimate, measure and compare the capacity of containers

 

Measurement – Volume:

• Constructing Models
• Using the Cubic Centimetre to Measure Volume
• Introducing the Formula for Volume

 

Measurement – Length:

• Using the formal unit of the centimetre to measure length and perimeter
• Compare and convert formal units of measurement

 

Space:

• Using the prefix to determine polygons
• Recognise and name triangles
• Spatial properties of quadrilaterals
• Measure and classify angles

 

Probability:

• Simple events
• Experimental probability

 

4th Grade Math Curriculum:

 

Readiness:

• Review of the Previous grade

 

Basic mathematics part 2:

• Seven digit numbers
• Addition to 9999 and beyond
• Multiplication using extended algorithms
• Multiplication by 2 and 3 Digits
• Dividing two and three-digit numbers by a single-digit number

 

Decimals:

• Rounding Decimals
• Decimals to three decimal places

 

Percentages:

• Understanding percentages
• Changing fractions and decimals to percentages tenths and hundredths

 

Long multiplication:

• Multiplying 2-digit numbers by multiples of 10
• Multiplying 3 and 4-digit numbers by multiples of 100
• Multiplying 2-digit numbers by 2-digit numbers

 

Measurement – Area:

• Introduction to the square centimetre
• Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
• Finding the Area of a Triangle and Other Composite Shapes
• Larger Areas: Square Metre, Hectare, Square Kilometre

 

Measurement – Advanced area:

• Area of a Circle

 

Algebra – Basic:

• Algebraic Expressions

 

Co-ordinate geometry part 1:

• The Gradient
• The Gradient Formula

 

Coordinate Geometry-straight line:

• The straight line.

 

Geometry-angles:

• Parallel Lines

 

Geometry transformations:

• Geometry Transformations without Matrices: Translation
• Geometry Transformations without Matrices: Dilation or Enlargement

 

Statistics part 1:

• The Mode
• The Mean
• The Median
• The Scatter plot

 

Statistics part 2:

• Measures of Spread

 

Probability:

• Rolling a pair of dice

 

5th Grade Math Curriculum:

 

Readiness:

• Review of the Previous grade

 

Basic mathematics part 2:

• Divide whole numbers by a 2-digit divisor

 

Measurement – Volume:

• Solving Problems about Volume Part 1
• Solving Problems about Volume Part 2

 

Measurement – Capacity:

• Converting between volume and capacity using milliliters and liters

 

Measurement – Mass:

• The Tonne

 

Percentages:

• Calculating Percentages and Fractions of Quantities
• Changing percentages to fractions and decimals

 

Logarithms-Power of 2:

• Powers of 2

 

Fractions:

• Multiplying fractions
• Multiplying mixed numbers
• Finding reciprocals of fractions and mixed numbers
• Dividing fractions
• Dividing mixed numbers

 

Algebra – Basic:

• Algebraic Expressions
• Substitution into Algebraic Expressions
• Simplifying Algebraic Expressions: Multiplication
• Simplifying Algebraic Expressions: Division
• Expanding Algebraic Expressions: multiplication
• Expanding Algebraic Expressions: Negative multiplier
• Expanding and simplifying algebraic expressions

 

Space:

• Mapping
• Main and intermediate compass points
• Informal coordinate system

 

Co-ordinate geometry part 1:

• The Mid-Point Formula

 

Measurement – Area:

• Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram
• Finding the Area of a Triangle and Other Composite Shapes

 

Surface area:

• Surface Area of a Cube/Rectangular Prism

 

Measurement – Volume:

• Introduction to Volume: using the cubic centimetre as a standard unit
• Constructing Models
• Using the Cubic Centimetre to Measure Volume
• Introducing the Formula for Volume
• Using the cubic metre to measure volume

 

Geometry part 3:

• Points, Lines and Planes

 

Geometry-constructions:

• Geometric constructions

 

Geometry – angles:

• To determine angle labelling rules, naming angles according to size, angle bisector properties and related algebra

 

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