Higher

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Higher

Adding and Subtracting in Standard form

Students learn how to use non-calculator methods to solve addition and subtraction problems involving standard f...

Addition and Subtraction with Fractions and Mixed Numbers

Students learn how to perform addition and subtraction with fractions and mixed numbers.  As learning progresses...

Applying Circle Theorems Involving Tangents

Students learn about applying circle theorems involving tangents to solve complex problems.  The alternate segme...

Calculating a Repeated Percentage Change

Students learn how to calculate a repeated percentage change using decimal multipliers.  As learning progresses ...

Estimating the Area Under a Curve

Students learn about estimating the area under a curve using the trapezium rule.  As learning progresses they in...

Expanding Cubic Expressions

Students learn how to write the product of three binomials by expanding a cubic expression. Learning progresses ...

Factorising Expressions with Powers

Students learn how to factorise expressions with powers by taking out the highest common factor.  As learning pr...

Form and Solve Quadratic Equations

Students learn how to form and solve quadratic equations from geometry problems.  Problems include finding the a...

Frequency Trees

Students learn how to create frequency trees from two-way tables and written descriptions.  As learning progress...

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a...

Proportion and Recipes

Students learn how to use proportion and ratio notation to adjust recipes for different amounts.  As learning pr...

Pythagoras’ Theorem in 3D

Students learn how to calculate unknown lengths in cuboids and other solids by applying Pythagoras' Theorem in ...

Solving Quadratic Identities

Students learn how to solve quadratic identities by completing the square and equating terms. As learning progre...

Union and Intersection of Sets

Students learn how to calculate the union and intersection of sets using Venn diagrams.  As learning progresses ...

Solving Inequations

The start of the lesson is used to review deriving inequalities from number lines.  The development phase builds...

Inequalities

Students learn how to represent inequalities on a number using the correct notation.  As learning progresses stu...

Mr Mathematics Blog

Solving Two Step Equations using the Balance Method

An equation is when one expression, or term, is equal to another.  To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal.  There are two types of equations for secondary school mathematics, linear and none-linear.  In this blog I write about how I […]

How to Simplify Surds

When learning how to simplify surds students need to understand the difference between a rational and irrational number. Rational numbers include integers and terminating and repeating decimals. They can be written as a fraction with both the numerator and denominator as integers. An irrational number is a number which, in its decimal form does not […]

Sharing an Amount to a Given Ratio

There are three common methods for sharing an amount to a given ratio.  Depending on the age group and ability range I am teaching I would choose one approach over the other two. The three methods are: Using fractions Unitary method Using a table In this blog I will demonstrate each of the three methods […]