Unit Overview: Extending calculation strategies and additive reasoning

Lessons:

30 lessons

In this lesson, we will be adjusting addends to make a calculation easier, keeping the sum the same.

• 27m Video
• Transcript

Same sum' with larger numbers

In this lesson, we will be extending the 'same sum' strategy to the addition of larger numbers.

• 37m Video
• Transcript

Same sum' with decimals

In this lesson, we will be extending the 'same sum' strategy to calculations with decimal fractions.

• 31m Video
• Transcript

Balancing equations using the 'same sum' strategy

In this lesson, we will be extending the 'same sum' rule to balance equations.

• 20m Video
• Transcript

Balancing equations using compensation

In this lesson, we will be balancing equations using the compensation property of addition and subtraction.

• 16m Video
• Transcript

Balancing equations: Does the order of addends matter?

In this lesson, we will be balancing equations and noticing that the order of the addends is not important.

• 15m Video
• Transcript

In this lesson, we will notice that, if an addend is increased and the other is kept the same, the sum increases by the same amount.

• 26m Video
• Transcript

In this lesson, we will notice that, if one addend is decreased and the other is kept the same, the sum decreases by the same amount

• 25m Video
• Transcript

Solve calculations mentally by relating them to known facts

In this lesson will be solving calculations mentally by relating them to known facts.

• 24m Video
• Transcript

In this lesson, we will be finding an unknown addend when the sum is changed.

• 25m Video
• Transcript

Introduction to same difference

In this lesson, we will learn about the 'same difference' strategy.

• 28m Video
• Transcript

Same difference in context

In this lesson, we will learn about contexts which focus on where the difference is kept the same.

• 7m Video
• Transcript

Use the Language of Minuend, Subtrahend, and Difference

In this lesson, we will use the some of the language of subtraction used in previous lessons- minuend, subtrahend and difference.

• 17m Video
• Transcript

Transform calculations using the same difference

In this lesson, we will transform subtraction calculations by using the "same difference" method. This method involves shifting numbers whilst preserving the answer, but making the calculation easier.

• 23m Video
• Transcript

Practice: Transforming Calculations to Make Them Easier to Solve Mentally

In this lesson, we will practise transforming calculations to make them easier to solve mentally

• 18m Video
• Transcript

Transform a subtraction calculation to make the written algorithm easier to apply

In this lesson, we will transform a subtraction calculation between two five digit numbers to make the written algorithm easier to apply.

• 25m Video
• Transcript

Practice: 'Same Difference' in Different Contexts

In tthis lesson, we will practise the 'same difference' in different contexts. We will learn that transforming written calculations makes it easier to solve them using a written method.

• 29m Video
• Transcript

Balancing equations to find unknown values

In this lesson, we will learn to balance equations to find unknown values. We will learn how the image of a see-saw helps us think about equivalent calculations, if they are level, they are equal (equivalent) to each other.

• 20m Video
• Transcript

Explore how the difference changes when only the Minuend is changed

In this lesson, we will explore how the difference changes when only the minuend is changed.

• 28m Video
• Transcript

Apply the generalisation about how the minuend and difference change to solve problems

In this lesson, we will apply the generalisation about how the minuend and difference change to solve problems.

• 19m Video
• Transcript

Explore how the generalisation can be used as a mental calculation strategy using Known facts

In this lesson, we will explore how the generalisation can be used efficiently as a mental calculation strategy using known facts.

• 27m Video
• Transcript

Thinking flexibly

In this lesson, we will learn to think flexibly, looking for the most efficient strategies we can find for subtraction.

• 29m Video
• Transcript

Comparing Strategies

In today's lesson, we will learn to compare strategies around subtraction. We will discuss how efficient some strategies are, such as shifting to preserve the 'same difference' and make calculations easier.

• 23m Video
• Transcript

The more we subtract, the less we are left with. The less we subtract...

In this lesson, we will learn that the more we subtract, the less we are left with. The less we subtract, the more we are left with. This will be shown through the context of reduction.

• 26m Video
• Transcript

Contexts where the Minuend is Kept the Same, and the Subtrahend Increases

In this lesson, we will apply what was learnt in the previous lesson to contexts where the minuend is kept the same, and the subtrahend increases. Different methods demonstrated will include number lines, bar models and jottings.

• 11m Video
• Transcript

Contexts where the minuend is kept the same, and the Subtrahend decreases

In this lesson, we will learn about contexts where the minuend is kept the same, and the subtrahend decreases. Different methods demonstrated within the lesson will include number lines, bar models and jottings.

• 12m Video
• Transcript

Further practice to reason about how the change in the subtrahend changes the difference

In this lesson, we will further practice to reason about how the change in the subtrahend changes the difference demonstrated through sequences.

• 11m Video
• Transcript

Explore problems in which the new difference must be found

In this lesson, we will explore problems in which the new difference must be found.

• 24m Video
• Transcript

Balance Equations Where the Compensation Property of Same Sum Cannot Efficiently be Applied

In this lesson, we will balance equations where the compensation property of same sum cannot efficiently be applied.

• 21m Video
• Transcript

Balance Equations Where the Compensation Property of Same Difference Cannot Efficiently be Applied

In this lesson, we will look at similar activities from last lesson but with subtraction in mind, specifically the following symbols: = (equals), ≈ (approximately equal to) , > (greater than), < (less than).

• 24m Video
• Transcript