## Mathematics

#### Learner Journey Summary - N5

##### Learning Intentions
1. Understand and use mathematical concepts and relationships.
2. Select and apply numerical skills.
3. Select and apply skills in algebra, geometry, trigonometry and statistics.
4. Use mathematical models.
5. Use mathematical reasoning skills to interpret information, to select a strategy to solve a problem, and to communicate solutions.
##### Reasoning skills

Explanation Interpreting a situation where mathematics can be used and identifying a strategy.

1. Can be attached to any operational skills to require analysis of a situation Explaining a solution and relating it to context
2. Can be attached to any operational skills to require explanation of the solution given
##### Numerical skills
1. Working with surds.
2. Simplifying expressions using the laws of indices.
3. Working with reverse percentages.
##### Algebraic skills
1. Working with algebraic expressions involving expansion of brackets.
2. Factorising an algebraic expression.
3. Completing the square in a quadratic expression with unitary 2 x coefficient.
4. Applying the four operations (add, subtract, multiply or divide) to algebraic fractions.
5. Explanation Determining the equation of a straight line.
6. Working with linear equations and inequations.
7. Working with simultaneous equations.
8. Changing the subject of a formula.
9. Recognise and determine the equation of a quadratic function from its graph.
11. Identifying features of a quadratic function.
##### Geometric skills
1. Determining the gradient of a straight line, given two points.
2. Circle geometry.
3. Calculating the volume of a standard solid.
4. Applying Pythagoras’ theorem.
5. Applying the properties of shapes to determine an angle involving at least two steps.
6. Working with two-dimensional vectors.
7. Working with three dimensional coordinates
##### Trigonometric skills
1. Working with the graphs of trigonometric functions.
2. Calculating the area of a triangle using trigonometry.
3. Using bearings with trigonometry.
##### Statistical skills

Comparing data sets using statistics Compare data sets using calculated/determined:

1. Semi-interquartile range,
2. Standard deviation Forming a linear model from a given set of data.
3. Determine the equation of a best-fitting straight line on a scattergraph and use it to estimate y given x.