### Maths

Meg2021-07-06T10:53:57+00:00# 7Y/T Band: Unit: Order of operations

## 1. Equal and non-equal priority

In this lesson we will be looking at priority of operation in different calculations.

## 2. Writing calculations

In this lesson we will be looking at writing calculations from function machines.

## 3. Order of operations and arrays

In this lesson we will be looking at writing calculations using arrays.

## 4. Calculations with variables

In this lesson we will look at writing calculations with variables.

# 7Y/T Band: Unit: Positive and negative numbers

## 1. Negative numbers in context

In this lesson you will interpret negative numbers in a variety of contexts and explore movement on an 'extended' number line.

## 2. Order and absolute value

In this lesson you will learn to interpret the absolute value of a number and understand how to order negative numbers using inequality notation.

## 3. Modelling Addition

By the end of this lesson you will be able to model addition of a positive number as a translation on the number line and use this model to develop strategies for addition.

## 4. Further Addition

In this lesson you will learn how to model addition of a negative number as a translation on the number line and explore what happens when two additive inverses are added together.

## 5. Subtracting positive numbers

In this lesson you will explore the relationship between subtracting positive numbers and adding additive inverses.

## 6. Subtracting negative Numbers

In this lesson you will explore subtracting negative numbers as the addition of the additive inverse.

## 7. Multiplication as scaling

In this lesson you will explore multiplication involving at least one positive number and learn how it’s possible to visualise multiplication as a stretch by a scale factor.

## 8. Negative scale factors

In this lesson you will learn about negative scale factors and explore the commutativity of multiplication.

## 9. Further multiplication

By the end of this lesson you will be able to find the product of two negative numbers.

## 10. Division

In this lesson you will explore a model for division.

## 11. Further division

In this lesson you will derive further division facts using 'fact families'.

## 12. Axioms and negative numbers

In this lesson you will practice negative number calculations, linking them to axioms.

# 7P Band: Unit: Percentages

## 1. Percentages on a number line

In this lesson, you will learn where percentages are placed on a number line compared with fractions and decimals.

## 2. Converting to decimals

In this lesson, you will learn how to convert between decimals and percentages.

## 3. Percentages of amount

In this lesson, you will learn how to find the percentage of an amount using a bar model.

## 4. Percentages of amount (Part 2)

In this lesson, you will learn how to find the percentage of an amount by first finding 10% or 1%, and then scaling to find other percentages.

## 5. Decimal Multipliers

In this lesson, you will learn how to find the percentage of an amount by finding the decimal multiplier.

## 6. Increase by a percentage

In this lesson, we will learn how to increase an amount by a percentage, by using a decimal multiplier.

## 7. Decrease by a percentage

In this lesson you will learn how to decrease an amount by a percentage, by using a decimal multiplier.

# 7P Band: Unit: Ratio

## 1. Groups

In this lesson, you will learn to use ratio notation to describe the composition of different groups.

## 2. In the same ratio

In this lesson, you will learn to scale up from one group to ‘many’ groups and use multiplicative relationships to calculate unknown values in the ‘many’ groups.

## 3. Equivalent ratios

In this lesson, you will learn how to represent ratios pictorially and use these representations to justify the equivalence of ratios.

## 4. The rule of four

In this lesson, you will identify multiplicative relationships between 'times tables' and use patterns to solve problems in direct proportion contexts.

## 5. Ratio and proportion in geometry I

In this lesson, you will compare the side lengths of triangles, one of which is an enlargement of the other, and calculate the ratios of the lengths of corresponding sides.

## 6. Ratio and proportion in geometry II

In this lesson, you will divide oblique line segments into specified ratios by dividing the segment’s horizontal and vertical displacements in the same ratio.

## 7. Dividing into a ratio I

In this lesson, you will divide a quantity into a ratio of the form a : b and compare the relative sizes of the parts to each other and to the whole.

## 8. Dividing into a ratio II

In this lesson, you will divide a quantity into a ratio of the form a : b : c and compare the relative sizes of the parts to each other and to the whole.