Elementary School Math - K-5 Grade elementary math tutoring
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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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