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# Year 4 Online Maths Lessons

Strand | Unit number | Unit Name | Lesson number | Lesson name | Australian Curriculum v9 codes |
Lesson outcomes Students will be able to: |
---|---|---|---|---|---|---|

Number | 4 | Numbers to 100 000 | 1 | Numbers to 100 000 | AC9M4N05 | Read and write multi-digit numbers in numerals, number names, and expanded form. |

2 | Place Value | AC9M4N05 | Recognise that a digit in one place represents ten times the value of the place to its right. | |||

3 | Comparing Digits | AC9M4N05 | Use place value understanding to compare digits in numbers. | |||

4 | Comparing Numbers | AC9M4N05 | Compare and order multi-digit numbers based on the digits in each place. | |||

5 | Numbers and Decimals | 1 | Rounding Numbers | AC9M4N07 | Use place value understanding to round multi-digit whole numbers to any place value. | |

2 | Decimal Places | AC9M4N01 | Use division by 10 to extend the place-value system into decimal places. | |||

3 | Compare Decimals | AC9M4N01 | Compare two decimals to hundredths by reasoning about their size using place value. | |||

4 | Money in Decimals | AC9M4N01 | Represent amounts of money in decimal form with two decimal places and use the symbols $ and c. | |||

Fractions | 2 | Counting Fractions | 1 | Mixed Numerals | AC9M4N04 | Identify mixed numerals and show how they are composed. |

2 | Fraction Number Lines | AC9M4N04 | Count, locate and represent fractions, including mixed numerals, on a number line. | |||

3 | Compare Fractions: Draw a picture | AC9M4N03 | Compare fractions with different numerators and denominators by drawing fraction shapes and arrays. | |||

4 | Compare Fractions: Diagrams | AC9M4N03 | Compare fractions with different numerators and denominators using a fraction wall or number line. | |||

3 | Equivalent Fractions | 1 | Equivalent Fractions: Draw a diagram | AC9M4N03 | Use shapes, fraction strips and number lines to find and represent equivalent fractions. | |

2 | Fraction Families | AC9M4N03 | Investigate equivalent fractions by exploring families of fractions on a fraction wall. | |||

3 | Convert Fractions: Count the Parts | AC9M4N04 | Convert between mixed numbers and fractions using diagrams and decomposition. | |||

4 | Decimal Fractions | 1 | Tenths and Hundredths | AC9M4N03 | Express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100. | |

2 | Converting Fractions and Decimals | AC9M4N03 | Write fractions with denominators 10 or 100 as decimals, and vice versa. | |||

3 | Decimal Number Lines | AC9M4N04 | Make connections between 10ths, 100ths and their equivalent decimals on the number line. | |||

4 | Equivalent Fractions and Decimals | AC9M4N03 | Find equivalent decimals for halves, quarters and fifths by converting them to 10ths and 100ths. | |||

Operations | 7 | Addition and Subtraction Strategies 2 | 1 | Addition Strategies | AC9M4N06 | Use place value understanding to assist calculations. |

2 | Subtraction Strategies | AC9M4N06 | Use place value understanding and the inverse operation to assist calculations. | |||

3 | Making Calculations Easier | AC9M4N07 | Use rounding and an understanding of difference to assist calculations. | |||

4 | Finding Unknown Quantities | AC9M4A01 | Find unknown quantities in number sentences involving addition and subtraction. | |||

8 | Addition and Subtraction Algorithms | 1 | Algorithms: Addition | AC9M4N06 | Fluently add multi-digit whole numbers using the standard algorithm. | |

2 | Algorithms: Subtraction | AC9M4N06 | Fluently subtract multi-digit whole numbers using the standard algorithm. | |||

3 | Word Problems: Add & Subtract | AC9M4N08 | Solve multi-step word problems involving addition and subtraction of whole numbers. | |||

9 | Multiplication Thinking | 1 | The Times Tables | AC9M4A02 | Recall multiplication facts up to 10 × 10. | |

2 | Factors | AC9M5N02 | Identify and describe factors of whole numbers from 1 to 100. | |||

3 | Multiples within 100 | AC9M5N02 | Investigate multiples within the times tables. | |||

4 | Equivalent Multiplication Facts | AC9M4A02 | Recall multiplication facts up to 10 × 10 to find equations with the same answer. | |||

10 | Multiplication Strategies | 1 | Multiplication by 10, 100 and 1000 | AC9M4N05 | Multiply using strategies based on place value. | |

2 | Mental Maths: Multiplication 1 | AC9M4N06 | Multiply using strategies based on the commutative and associative properties of multiplication. | |||

3 | Mental Maths: Multiplication 2 | AC9M4N06 | Multiply using a strategy based on the distributive property of multiplication. | |||

11 | Division Strategies | 1 | Division Facts | AC9M4A02 | Recall division facts related to the multiplication facts up to 10 × 10. | |

2 | Mental Maths: Division Strategies 1 | AC9M4N06 | Find quotients using the inverse relationship between multiplication and division. | |||

3 | Mental Maths: Division Strategies 2 | AC9M4N06 | Find quotients using the distributive property of division. | |||

12 | Operations with Odd and Even Numbers | 1 | Odds and Evens in Addition and Subtraction | AC9M4N02 | Investigate the properties of odd and even numbers in addition and subtraction equations. | |

2 | Odds and Evens in Multiplication | AC9M4N02 | Investigate the properties of odd and even numbers in multiplication equations. | |||

3 | Doubling | AC9M4N06 | Use doubling as a mental strategy for multiplication by 2, 4 and 8. | |||

4 | Halving | AC9M4N06 | Use halving as a mental strategy for division by 2, 4 and 8 where there is no remainder. | |||

13 | Multiplication Patterns | 1 | Multiplication Number Sequences | AC9M4N09 | Explore and describe number patterns resulting from performing multiplication. | |

2 | Multiplication Patterns in a 100 Square | AC9M4A02 | Explore and describe patterns of multiples in a 100 square. | |||

3 | The Multiplication Chart | AC9M4A02 | Find answers and explore patterns in the multiplication chart. | |||

14 | Word Problems | 1 | Word Problems: Multiplication | AC9M4N08 | Solve multi-step word problems involving multiplication of whole numbers. | |

2 | Word Problems: Division | AC9M4N08 | Solve multi-step word problems involving division of whole numbers. | |||

3 | Word Problems: Money | AC9M4N08 | Solve problems involving purchases and the calculation of change to the nearest five cents. | |||

Geometry | 5 | Shapes and Objects | 1 | Combining 2D Shapes | AC9M4SP01 | Put 2D shapes together to make composite shapes. |

2 | Splitting 2D Shapes | AC9M4SP01 | Split 2D shapes into smaller shapes. | |||

3 | Classify 3D Objects | AC9M4SP01 | Classify 3D figures based on curved surfaces, flat faces, base shapes and vertices. | |||

4 | Views of 3D Objects | AC9M4SP01 | Identify 3D objects based on the 2D shapes that can be seen when looking at them from a specific viewpoint. | |||

6 | Shape Movements | 1 | Rotation | AC9M5SP03 | Identify clockwise, anticlockwise, quarter, half and three-quarter turns. | |

2 | Symmetrical Designs | AC9M4SP03 | Use flips and reflections to make symmetrical designs. | |||

3 | Tessellation | AC9M4SP03 | Use flips, slides and turns to tessellate shapes and identify shapes that do/do not tessellate. | |||

7 | Angles | 1 | Types of angles 1 | AC9M4M04 | Identify right, acute and obtuse angles, including in two-dimensional shapes. | |

2 | Types of angles 2 | AC9M4M04 | Identify straight and reflex angles and revolutions. | |||

3 | Classifying Angles | AC9M4M04 | Classify angles from 1-360 degrees by thinking about how they relate to right angles. | |||

8 | Maps | 1 | Compass Directions | AC9M4SP02 | Learn the compass directions, including the four cardinal points and the ordinal points between them. | |

2 | Map Legends and Scales | AC9M4SP02 | Use simple scales and legends to interpret information contained in basic maps. | |||

3 | Using a Map | AC9M4SP02 | Use simple scales, legends and directions to interpret information contained in basic maps. |

## NSW Mathematics K-10 2022 Syllabus

Strand | Unit number | Unit Name | Lesson number | Lesson name | NSW Mathematics K-10 2022 Syllabus | Lesson outcomes Students will be able to: |
---|---|---|---|---|---|---|

Number | 4 | Numbers to 100 000 | 1 | Numbers to 100 000 | MA2-RN-01 | Read and write multi-digit numbers in numerals, number names, and expanded form. |

2 | Place Value | MA2-RN-01 | Recognise that a digit in one place represents ten times the value of the place to its right. | |||

3 | Comparing Digits | MA2-RN-01 | Use place value understanding to compare digits in numbers. | |||

4 | Comparing Numbers | MA2-RN-01 | Compare and order multi-digit numbers based on the digits in each place. | |||

5 | Numbers and Decimals | 1 | Rounding Numbers | MA2-RN-01 | Use place value understanding to round multi-digit whole numbers to any place value. | |

2 | Decimal Places | MA2-RN-02 | Use division by 10 to extend the place-value system into decimal places. | |||

3 | Compare Decimals | MA2-RN-02 | Compare two decimals to hundredths by reasoning about their size using place value. | |||

4 | Money in Decimals | MA2-RN-02 | Represent amounts of money in decimal form with two decimal places and use the symbols $ and c. | |||

Fractions | 2 | Counting Fractions | 1 | Mixed Numerals | MA2-PF-01 | Identify mixed numerals and show how they are composed. |

2 | Fraction Number Lines | MA2-PF-01 | Count, locate and represent fractions, including mixed numerals, on a number line. | |||

3 | Compare Fractions: Draw a picture | MA2-PF-01 | Compare fractions with different numerators and denominators by drawing fraction shapes and arrays. | |||

4 | Compare Fractions: Diagrams | MA2-PF-01 | Compare fractions with different numerators and denominators using a fraction wall or number line. | |||

3 | Equivalent Fractions | 1 | Equivalent Fractions: Draw a diagram | MA2-PF-01 | Use shapes, fraction strips and number lines to find and represent equivalent fractions. | |

2 | Fraction Families | MA2-PF-01 | Investigate equivalent fractions by exploring families of fractions on a fraction wall. | |||

3 | Convert Fractions: Count the Parts | MA2-PF-01 | Convert between mixed numbers and fractions using diagrams and decomposition. | |||

4 | Decimal Fractions | 1 | Tenths and Hundredths | MA2-PF-01 | Express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100. | |

2 | Converting Fractions and Decimals | MA2-RN-02 | Write fractions with denominators 10 or 100 as decimals, and vice versa. | |||

3 | Decimal Number Lines | MA2-RN-02 | Make connections between 10ths, 100ths and their equivalent decimals on the number line. | |||

4 | Equivalent Fractions and Decimals | MA2-RN-02 | Find equivalent decimals for halves, quarters and fifths by converting them to 10ths and 100ths. | |||

Operations | 7 | Addition and Subtraction Strategies 2 | 1 | Addition Strategies | MA2-AR-01, MA2-AR-02 | Use place value understanding to assist calculations. |

2 | Subtraction Strategies | MA2-AR-01, MA2-AR-02 | Use place value understanding and the inverse operation to assist calculations. | |||

3 | Making Calculations Easier | MA2-AR-01, MA2-AR-02 | Use rounding and an understanding of difference to assist calculations. | |||

4 | Finding Unknown Quantities | MA2-AR-01, MA2-AR-02 | Find unknown quantities in number sentences involving addition and subtraction. | |||

8 | Addition and Subtraction Algorithms | 1 | Algorithms: Addition | MA2-AR-01, MA2-AR-02 | Fluently add multi-digit whole numbers using the standard algorithm. | |

2 | Algorithms: Subtraction | MA2-AR-01, MA2-AR-02 | Fluently subtract multi-digit whole numbers using the standard algorithm. | |||

3 | Word Problems: Add & Subtract | MA2-AR-01, MA2-AR-02 | Solve multi-step word problems involving addition and subtraction of whole numbers. | |||

9 | Multiplication Thinking | 1 | The Times Tables | MA2-MR-01, MA2-MR-02 | Recall multiplication facts up to 10 × 10. | |

2 | Factors | MA2-MR-01, MA2-MR-02 | Identify and describe factors of whole numbers from 1 to 100. | |||

3 | Multiples within 100 | MA2-MR-01, MA2-MR-02 | Investigate multiples within the times tables. | |||

4 | Equivalent Multiplication Facts | MA2-MR-01, MA2-MR-02 | Recall multiplication facts up to 10 × 10 to find equations with the same answer. | |||

10 | Multiplication Strategies | 1 | Multiplication by 10, 100 and 1000 | MA2-MR-01, MA2-MR-02 | Multiply using strategies based on place value. | |

2 | Mental Maths: Multiplication 1 | MA2-MR-01, MA2-MR-02 | Multiply using strategies based on the commutative and associative properties of multiplication. | |||

3 | Mental Maths: Multiplication 2 | MA2-MR-01, MA2-MR-02 | Multiply using a strategy based on the distributive property of multiplication. | |||

11 | Division Strategies | 1 | Division Facts | MA2-MR-01, MA2-MR-02 | Recall division facts related to the multiplication facts up to 10 × 10. | |

2 | Mental Maths: Division Strategies 1 | MA2-MR-01, MA2-MR-02 | Find quotients using the inverse relationship between multiplication and division. | |||

3 | Mental Maths: Division Strategies 2 | MA2-MR-01, MA2-MR-02 | Find quotients using the distributive property of division. | |||

12 | Operations with Odd and Even Numbers | 1 | Odds and Evens in Addition and Subtraction | MA2-AR-01, MA2-AR-02 | Investigate the properties of odd and even numbers in addition and subtraction equations. | |

2 | Odds and Evens in Multiplication | MA2-MR-01, MA2-MR-02 | Investigate the properties of odd and even numbers in multiplication equations. | |||

3 | Doubling | MA2-MR-01, MA2-MR-02 | Use doubling as a mental strategy for multiplication by 2, 4 and 8. | |||

4 | Halving | MA2-MR-01, MA2-MR-02 | Use halving as a mental strategy for division by 2, 4 and 8 where there is no remainder. | |||

13 | Multiplication Patterns | 1 | Multiplication Number Sequences | MA2-MR-01, MA2-MR-02 | Explore and describe number patterns resulting from performing multiplication. | |

2 | Multiplication Patterns in a 100 Square | MA2-MR-01, MA2-MR-02 | Explore and describe patterns of multiples in a 100 square. | |||

3 | The Multiplication Chart | MA2-MR-01, MA2-MR-02 | Find answers and explore patterns in the multiplication chart. | |||

14 | Word Problems | 1 | Word Problems: Multiplication | MA2-MR-01, MA2-MR-02 | Solve multi-step word problems involving multiplication of whole numbers. | |

2 | Word Problems: Division | MA2-MR-01, MA2-MR-02 | Solve multi-step word problems involving division of whole numbers. | |||

3 | Word Problems: Money | MA2-AR-01, MA2-AR-02 | Solve problems involving purchases and the calculation of change to the nearest five cents. | |||

Geometry | 5 | Shapes and Objects | 1 | Combining 2D Shapes | MA2-2DS-01, MA2-2DS-02 | Put 2D shapes together to make composite shapes. |

2 | Splitting 2D Shapes | MA2-2DS-01, MA2-2DS-02 | Split 2D shapes into smaller shapes. | |||

3 | Classify 3D Objects | MA2-3DS-01 | Classify 3D figures based on curved surfaces, flat faces, base shapes and vertices. | |||

4 | Views of 3D Objects | MA2-3DS-01 | Identify 3D objects based on the 2D shapes that can be seen when looking at them from a specific viewpoint. | |||

6 | Shape Movements | 1 | Rotation | MA2-2DS-01, MA2-2DS-02 | Identify clockwise, anticlockwise, quarter, half and three-quarter turns. | |

2 | Symmetrical Designs | MA2-2DS-01, MA2-2DS-02 | Use flips and reflections to make symmetrical designs. | |||

3 | Tessellation | MA2-2DS-01, MA2-2DS-02 | Use flips, slides and turns to tessellate shapes and identify shapes that do/do not tessellate. | |||

7 | Angles | 1 | Types of angles 1 | MA2-GM-03 | Identify right, acute and obtuse angles, including in two-dimensional shapes. | |

2 | Types of angles 2 | MA2-GM-03 | Identify straight and reflex angles and revolutions. | |||

3 | Classifying Angles | MA2-GM-03 | Classify angles from 1-360 degrees by thinking about how they relate to right angles. | |||

8 | Maps | 1 | Compass Directions | MA2-GM-01 | Learn the compass directions, including the four cardinal points and the ordinal points between them. | |

2 | Map Legends and Scales | MA2-GM-01 | Use simple scales and legends to interpret information contained in basic maps. | |||

3 | Using a Map | MA2-GM-01 | Use simple scales, legends and directions to interpret information contained in basic maps. |