Mathematics (Grade 6) by Ms. Hanley

(0)

Bernadine Hanley

118 Lessons

9 months

12 Student

Free

Enroll In This Course

IITAE Course UpdateGrade 6Primary School Courses

Mathematics (Grade 6) by Ms. Hanley

Bernadine Hanley

118 Lessons

(0)

9 months

12 Student

Free Enroll In This Course

Introduction

Rationale

Mathematics is being used more increasingly in other subject areas such as Social Studies, Science and Technology. Children need to master mathematical concepts and skills to find answers to questions and problems which arise in everyday life. Children need to acquire and develop knowledge of shapes and measures, the ability to calculate and to see and use relationships. Mathematics can be a means whereby children are helped to think for themselves as they learn through their own activities and enjoy what they are doing. Mathematics can help develop an inquiring mind.

General Aims

To assist pupils to:

Understand and use mathematical language and symbols.
See patterns and relationships in math and in their environment.
Find common elements among Mathematical concepts.
Search for, recognize and generate mathematical ideas.
Appreciate the role and application of mathematics in their daily activities. Understand the structure and organization of mathematics while developing proficiency in its processes and operations.

Lessons

TERM ONE: NUMBERS & NUMBER SENSE (Communicating with Numbers & Place Values)

State the value of any digit in a 7digit number

- - -

Identify whole numbers up to 9 999 999

- - -

TERM ONE: NUMBERS & NUMBER SENSE (Expanding and Ordering Numbers)

TERM ONE: NUMBERS & NUMBER SENSE (Estimation Methods)

Term 1: Numbers & Number Sense (Types of Numbers: Ordinal Numbers, Odd Numbers & Even Numbers)

Use random numbers as starting points to skip count, forwards and backwards in: (a) units (b) tens (c) hundreds (d) thousands (e) tens of thousands (f) tenths (g) hundredths

- - -

Term 1: Numbers & Number Sense (Prime Numbers, Composite Numbers and Factors)

Identify prime numbers up to 100

- - -

Identify composite numbers up to 100

- - -

Term 1: Numbers & Number Sense (Multiples, Square Numbers & Odd and Even Numbers)

State the multiples of 1-digit and 2-digit numbers

- - -

Determine the lowest common multiple of 3 or less whole numbers

- - -

Identify square numbers up to 144

- - -

Classify numbers as odd or even

- - -

Term 1: Numbers & Number Sense (Roman Numerals)

Read Roman numerals up to 3000

- - -

Write Roman numerals up to 3000

- - -

Express the current year in Roman Numerals

- - -

Term 1: Numbers & Number Sense (Addition & Subtraction)

Term 1: Numbers & Number Sense (Fractions)

Calculate the fractional parts of given quantities

- - -

Determine the equivalence of fractions

- - -

Select the fraction in lowest terms from a set of equivalent fractions

- - -

Write fractions in their simplest form

- - -

Add and subtract mixed numbers

- - -

Multiply fractions by: (a) whole numbers (b) fractions

- - -

Order and compare fractions

- - -

Express fractions as: (a) percentages (b) decimals

- - -

Term 1: Numbers & Number Sense (Multiplication & Division)

Multiply 1-digit by 2-digit numbers

- - -

Divide 2-digit, 3-digit or 4-digit numbers by: (a) 1-digit numbers (b) 2-digit numbers

- - -

Solve multiplication and division problems involving: (a) whole numbers (b) fractions (c) decimals up to thousandths (d) money

- - -

Term 2: Numbers & Number Sense (Hire Purchase)

Distinguish the hire purchase price from the cash price of an item

- - -

Evaluate the benefit of purchasing an item by: (a) cash (b) hire purchase agreement

- - -

Determine the hire purchase price of items when given the number of instalments, the value each instalment and the deposit (down payment), expressed as a percentage of the marked price

- - -

Lesson 7

- - -

Lesson 8

- - -

Lesson 2 - Discount/Profit and Loss

- - -

Lesson 3

- - -

Practice and Drill

2 Topics

Term 2: Numbers & Number Sense (Foreign Exchange)

Convert foreign currency to local currency using exchange rates

- - -

Use cues in word problems to determine an item’s: (a) cost price (b) selling price

- - -

Foreign Currency Exchange

2 Topics

Lesson 11 (C)

- - -

Lesson 12 (D)

- - -

Term 2: Shapes & Space (Length & Perimeter)

State the relationships among mm, cm, m and km

- - -

Convert: (a) mm to cm; cm to mm (b) cm to m; m to cm (c) mm to m; m to mm (d) m to km; km to m

- - -

Estimate lengths in mm, cm and m.

- - -

Measure lengths in mm, cm and m.

- - -

Use standard units to determine the perimeter of: (a) regular shapes (b) irregular shapes

- - -

Term 2: Shapes & Space (Properties of Circles & Triangles)

Name the parts of a circle

- - -

Calculate the diameter of a circle when the radius is known

- - -

Recall that the sum of the interior angles of a triangle is 180o

- - -

Distinguish the types of triangles from each other using: (a) the lengths of the sides (b) the value(s) of one or more interior angles†

- - -

Determine the value of an unknown angle in a triangle when the other two are known

- - -

Lesson 6 - The Circle

- - -

Term 2: Shapes & Space (Angles)

Use protractors to: (a) measure angles expressed in integral values from 0 to 180 degrees (b) construct angles expressed in integral values from 0 to 180 degrees

- - -

Solve word problems involving time

- - -

Lesson 14 (18.1)

- - -

Lesson 15 - Time (Practice 1)

- - -

Lesson 16 - Time (Practice 2)

- - -

Lesson 19 - Time : 24 hour clock

- - -

Lesson 20 - Time: 24 hour clock (Practice)

- - -

Term 2: Shapes & Space (Area)

Use standard units to determine the area of: (a) regular shapes (b) irregular shapes (c) triangles (d) segments of regular shapes

- - -

Solve problems involving capacity

- - -

Calculate the volume of a: (a) cube (b) rectangular prism

- - -

Term 2: Shapes & Space (Mass)

Use standard units to: (a) estimate the mass of objects (b) measure the mass of objects (c) record the mass of objects

- - -

Solve problems involving mass

- - -

Term 2: Patterns & Relations (Patterns)

Generate patterns using: (a) objects (b) pictures or images (c) numbers

- - -

Extend patterns

- - -

Summarize patterns

- - -

Complete multi-step problems e.g., sums of sequences

- - -

Term 2: Patterns & Relations (Sets)

Identify equal sets

- - -

List proper subsets from given data

- - -

Use the symbol for ‘is a subset of’, intersections, element of and union

- - -

Use Venn diagrams to show intersection(not more than 2 sets)

- - -

Solve problems using Venn diagrams

- - -

Lesson 13 (23.1 - 23.3)

- - -

Lesson 21 (24.4) - Venn Diagrams

- - -

Lesson 22 (24.5) - Venn Diagrams (Practice)

- - -

Lesson 23 - Venn Diagrams (Practice)

- - -

Term 3: Statistics & Probability (Collecting and Representing Data)

Term 3: Patterns & Relations (The Mean)

Calculate the mean from given information†

- - -

Term 3: Patterns & Relations (Predictions, Outcomes and Probability)

Ratings and Reviews

0.0

Avg. Rating

0 Ratings

What's your experience? We'd love to know!

No Reviews Found!

Show more reviews

What's your experience? We'd love to know!

Mathematics (Grade 6) by Ms. Hanley

Mathematics (Grade 6) by Ms. Hanley

Rationale

General Aims

Lessons

TERM ONE: NUMBERS & NUMBER SENSE (Communicating with Numbers & Place Values)

State the value of any digit in a 7digit number - - -

Identify whole numbers up to 9 999 999 - - -

Read and write whole numbers up to 9 999 999 in: (a) numerals (b) words - - -

State word names when given whole numbers with up to 7 digits - - -

Write numerals given word names for numbers up to 9 999 999 - - -

TERM ONE: NUMBERS & NUMBER SENSE (Expanding and Ordering Numbers)

Write 7-digit whole numbers in expanded form - - -

Write numerals of 7-digit whole numbers given the expanded form - - -

Compare (a) whole numbers with 7 or less digits; (b) decimal numbers up to thousandths - - -

Order (a) whole numbers with 7 or less digits; (b) decimal numbers up to thousandths - - -

TERM ONE: NUMBERS & NUMBER SENSE (Estimation Methods)

Round whole numbers to the nearest: (a) ten (b) hundred (c) thousand (d) ten thousand (e) hundred thousand - - -

Round decimals to the nearest: (a) tenth (b) hundredth - - -

Estimate by: (a) rounding (b) clustering (c) using compatible numbers (d) using the front-end method - - -

Estimate then count the number of objects in a set of less than 10 000 000 objects - - -

Term 1: Numbers & Number Sense (Types of Numbers: Ordinal Numbers, Odd Numbers & Even Numbers)

Use random numbers as starting points to skip count, forwards and backwards in: (a) units (b) tens (c) hundreds (d) thousands (e) tens of thousands (f) tenths (g) hundredths - - -

Term 1: Numbers & Number Sense (Prime Numbers, Composite Numbers and Factors)

Identify prime numbers up to 100 - - -

Identify composite numbers up to 100 - - -

State the factors of numbers from 1 – 99 - - -

Express any number up to 144 as a product of its prime factors - - -

Determine the highest common factor of 3 or less numbers - - -

Term 1: Numbers & Number Sense (Multiples, Square Numbers & Odd and Even Numbers)

State the multiples of 1-digit and 2-digit numbers - - -

Determine the lowest common multiple of 3 or less whole numbers - - -

Identify square numbers up to 144 - - -

Classify numbers as odd or even - - -

Term 1: Numbers & Number Sense (Roman Numerals)

Read Roman numerals up to 3000 - - -

Write Roman numerals up to 3000 - - -

Express the current year in Roman Numerals - - -

Term 1: Numbers & Number Sense (Addition & Subtraction)

Use addition and subtraction strategies to solve simple problems mentally - - -

Explain addition and subtraction strategies - - -

Solve addition and subtraction problems involving: whole numbers, decimals up to thousandths and money - - -

Term 1: Numbers & Number Sense (Fractions)

Calculate the fractional parts of given quantities - - -

Determine the equivalence of fractions - - -

Select the fraction in lowest terms from a set of equivalent fractions - - -

Write fractions in their simplest form - - -

Express improper fractions as mixed numbers - - -

Express mixed numbers as improper fractions - - -

Add and subtract fractions with: (a) like denominators (b) unlike denominators - - -

Add and subtract mixed numbers - - -

Multiply fractions by: (a) whole numbers (b) fractions - - -

Order and compare fractions - - -

Express fractions as: (a) percentages (b) decimals - - -

Term 1: Numbers & Number Sense (Multiplication & Division)

Multiply 1-digit by 2-digit numbers - - -

Divide 2-digit, 3-digit or 4-digit numbers by: (a) 1-digit numbers (b) 2-digit numbers - - -

Solve multiplication and division problems involving: (a) whole numbers (b) fractions (c) decimals up to thousandths (d) money - - -

Term 2: Numbers & Number Sense (Bills)

Lesson 1- Calculate shopping bills given the unit cost of items and a shopping list - - -

Calculate the cost of meals when given the unit cost per item and a list of orders - - -

Compute the change to be given or received from bills under $100 - - -

Term 2: Numbers & Number Sense (Hire Purchase)

Distinguish the hire purchase price from the cash price of an item - - -

Evaluate the benefit of purchasing an item by: (a) cash (b) hire purchase agreement - - -

Determine the hire purchase price of items when given the number of instalments, the value each instalment and the deposit (down payment), expressed as a percentage of the marked price - - -

Lesson 7 - - -

Lesson 8 - - -

Term 2: Numbers & Number Sense (Profit & Loss)

Use cues in word problems to determine an item’s: (a) cost price (b) selling price - - -

Identify whether a profit is made or a loss is incurred in simple financial transactions - - -

Given the cost price and selling price of an item, calculate the: (a) profit or (b) loss - - -

Lesson 2 - Discount/Profit and Loss - - -

Lesson 3 - - -

Practice and Drill 2 Topics

Term 2: Numbers & Number Sense (Foreign Exchange)

Convert foreign currency to local currency using exchange rates - - -

Use cues in word problems to determine an item’s: (a) cost price (b) selling price - - -

Foreign Currency Exchange 2 Topics

Lesson 11 (C) - - -

State the value of any digit in a 7digit number

- - -

Identify whole numbers up to 9 999 999

- - -

Read and write whole numbers up to 9 999 999 in: (a) numerals (b) words

- - -

State word names when given whole numbers with up to 7 digits

- - -

Write numerals given word names for numbers up to 9 999 999

- - -

Write 7-digit whole numbers in expanded form

- - -

Write numerals of 7-digit whole numbers given the expanded form

- - -

Compare (a) whole numbers with 7 or less digits; (b) decimal numbers up to thousandths

- - -

Order (a) whole numbers with 7 or less digits; (b) decimal numbers up to thousandths

- - -

Round whole numbers to the nearest: (a) ten (b) hundred (c) thousand (d) ten thousand (e) hundred thousand

- - -

Round decimals to the nearest: (a) tenth (b) hundredth

- - -

Estimate by: (a) rounding (b) clustering (c) using compatible numbers (d) using the front-end method

- - -

Estimate then count the number of objects in a set of less than 10 000 000 objects

- - -

Use random numbers as starting points to skip count, forwards and backwards in: (a) units (b) tens (c) hundreds (d) thousands (e) tens of thousands (f) tenths (g) hundredths

- - -

Identify prime numbers up to 100

- - -

Identify composite numbers up to 100

- - -

State the factors of numbers from 1 – 99

- - -

Express any number up to 144 as a product of its prime factors

- - -

Determine the highest common factor of 3 or less numbers

- - -

State the multiples of 1-digit and 2-digit numbers

- - -

Determine the lowest common multiple of 3 or less whole numbers

- - -

Identify square numbers up to 144

- - -

Classify numbers as odd or even

- - -

Read Roman numerals up to 3000

- - -

Write Roman numerals up to 3000

- - -

Express the current year in Roman Numerals

- - -

Use addition and subtraction strategies to solve simple problems mentally

- - -

Explain addition and subtraction strategies

- - -

Solve addition and subtraction problems involving: whole numbers, decimals up to thousandths and money

- - -

Calculate the fractional parts of given quantities

- - -

Determine the equivalence of fractions

- - -

Select the fraction in lowest terms from a set of equivalent fractions

- - -

Write fractions in their simplest form

- - -

Express improper fractions as mixed numbers

- - -

Express mixed numbers as improper fractions

- - -

Add and subtract fractions with: (a) like denominators (b) unlike denominators

- - -

Add and subtract mixed numbers

- - -

Multiply fractions by: (a) whole numbers (b) fractions

- - -

Order and compare fractions

- - -

Express fractions as: (a) percentages (b) decimals

- - -

Multiply 1-digit by 2-digit numbers

- - -

Divide 2-digit, 3-digit or 4-digit numbers by: (a) 1-digit numbers (b) 2-digit numbers

- - -

Solve multiplication and division problems involving: (a) whole numbers (b) fractions (c) decimals up to thousandths (d) money

- - -

Lesson 1- Calculate shopping bills given the unit cost of items and a shopping list

- - -

Calculate the cost of meals when given the unit cost per item and a list of orders

- - -

Compute the change to be given or received from bills under $100

- - -

Distinguish the hire purchase price from the cash price of an item

- - -

Evaluate the benefit of purchasing an item by: (a) cash (b) hire purchase agreement

- - -

Determine the hire purchase price of items when given the number of instalments, the value each instalment and the deposit (down payment), expressed as a percentage of the marked price

- - -

Lesson 7

- - -

Lesson 8

- - -

Use cues in word problems to determine an item’s: (a) cost price (b) selling price

- - -

Identify whether a profit is made or a loss is incurred in simple financial transactions

- - -

Given the cost price and selling price of an item, calculate the: (a) profit or (b) loss

- - -

Lesson 2 - Discount/Profit and Loss

- - -

Lesson 3

- - -

Practice and Drill

2 Topics

Convert foreign currency to local currency using exchange rates

- - -

Use cues in word problems to determine an item’s: (a) cost price (b) selling price

- - -

Foreign Currency Exchange

2 Topics

Lesson 11 (C)

- - -

Lesson 12 (D)

- - -

State the relationships among mm, cm, m and km

- - -

Convert: (a) mm to cm; cm to mm (b) cm to m; m to cm (c) mm to m; m to mm (d) m to km; km to m

- - -

Estimate lengths in mm, cm and m.

- - -

Measure lengths in mm, cm and m.

- - -

Use standard units to determine the perimeter of: (a) regular shapes (b) irregular shapes

- - -

Name the parts of a circle

- - -

Calculate the diameter of a circle when the radius is known

- - -

Recall that the sum of the interior angles of a triangle is 180o

- - -

Distinguish the types of triangles from each other using: (a) the lengths of the sides (b) the value(s) of one or more interior angles†

- - -

Determine the value of an unknown angle in a triangle when the other two are known

- - -

Lesson 6 - The Circle

- - -

Use protractors to: (a) measure angles expressed in integral values from 0 to 180 degrees (b) construct angles expressed in integral values from 0 to 180 degrees

- - -

Read and write time in hours and minutes

- - -

Determine the elapsed time between two events using: (a) addition (b) subtraction

- - -

Convert: (a) hours to minutes (b) minutes to hours

- - -

Solve word problems involving time

- - -

Lesson 14 (18.1)

- - -

Lesson 15 - Time (Practice 1)

- - -