Multiply powers
In this lesson we will learn how to apply and obey index laws when multiplying numbers with powers.
Unit Overview: Types of Numbers and Rules of Indices
Lessons:
8 lessons
Divide powers
In this lesson we will learn how to apply and obey index laws when dividing numbers with powers.
Powers of powers
In this lesson we will learn how to apply index laws when raising numbers with powers to another power.
Manipulating powers
In this lesson, we will learn how to manipulate powers to change bases. We will learn how to identify when this is and is not possible.
Square and cube numbers
In this lesson, we will investigate the properties of square and cube numbers. We will model what these number categories are using visual models of arrays and stacked cubes, and will pracise calculating squaring and cubing a number.
Square roots and cube roots
In this lesson, we will investigate the properties of square and cube roots. We will look at common terminology, symbols, and how to calculate and interpret square and cube roots of integers.
Higher powers
In this lesson, we will learn about using indices greater than 3. We will make sense of numbers written with an index greater than 3, and learn how to calculate the value of those numbers.
Higher roots
In this lesson, we will investigate higher roots of numbers. This is an extension of square and cube roots. We will make sense of numbers written with higher roots, and learn how to calculate the value of those numbers.
Units in Maths
- Simplifying Surds
- Adding surds
- Multiplying Surds
- Dividing and Rationalising surds
- Solving equations 2 (Simple algebraic fractions)
- Algebraic Fractions
- Factorise and solve a quadratic (a=1)
- Factorise and solve quadratics (a > 1)
- Substitution and Rearranging formulae
- Further Algebra (Change the subject/Binomial expansion)
- Similarity
- Trigonometry 1
- Trigonometry 2
- Trigonometry 3
- Types of Numbers and Rules of Indices
- Negative and Fractional Indices
- Recurring decimals
- Upper and Lower Bounds
- Straight Line Graphs (y=mx+C)
- Straight Line Graphs 2 (Parallel Lines)
- Higher Straight lines (Perpendicular Lines)
- Simultaneous Equations (Linear)
- Scatter Diagrams & Frequency Trees & Averages
- Higher Data 1 (CF and Box Plots)
- Probability 2 (Sample space, Venn diagrams and experimental)
- Higher Probability (Conditional and Further Set Notation)
- Further Quadratic equations
- Quadratic Graphs 1 (a=1)
- Quadratic Graphs 2 (a>1)
- Quadratic sequences
- One linear and one quadratic simultaneous equations
- Parts of a Circle 1 & 2
- Volume and Surface Area 1 (Prisms)
- Volume 2
- Surface Area 2
- Volume and Surface Area 2
- Advanced Trigonometry 1
- Advanced Trigonometry 2
- Advanced Trigonometry 3
- Directed Numbers
- Rules of indices (numbers)
- Standard Form (Writing and converting)
- Standard Form 4 Operations
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Adding and Subtracting Fractions
- Rotation and Enlargement
- Pythagoras Theorem 1
- Pythagoras Theorem 2
- Factors Multiple and Primes
- Venn Diagrams
- HCF and LCM
- Rounding and Estimating
- Simple Graphs
- Scatter diagrams and Frequency trees
- Averages (From a list and tables, Stem and Leaf)
- Ratio 1 & 2
- Percentage increase and decrease
- Repeated Percentage Change
- Fractions 1, 2, and Fractional Change
- Parts of circles 1 (Semi and quarter circles)
- Parts of circles 2 (Arcs and Sectors)
- Cylinders
- Area and Perimeter
- 4 Rules of Number
- Types of numbers
- Collecting like terms, simplifying
- Expand and simplify brackets
- Rules of Indices
- Solving equations 1 (One step, Two Step and Brackets)
- Reflection
- Factorising (single bracket)
- Solve Inequalities and Represent on Number Line
- Linear Sequences
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Fractions 2 (multiplying and dividing)
- Fraction Change
- Percentages
- FDP Equivalents
- Decimals
- Ratio 1
- Circles
- Revise - Angles, Polygons, Bearings
- Circle Theorems 1
- Circle Theorems 2
- Functions
- Revise - Simultaneous Equations
- Charts and Tables (Pie Chart and Two way tables)
- Revise - Data (Mean Table, CF Charts)
- Probability 3 (Tree diagrams)
- Histograms
- Cubic and Reciprocal Graphs
- Travel Graphs
- Graphs of Inequalities
- Compound measures
- Volume and Surface Area 1 & 2
- Translate and Vectors 1
- Vectors 2
- Constructions
- Loci
- Angle Facts
- Parallel Lines and Polygons 1
- Polygons 2 (Interior and Exterior)
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Revise - Solving Equations
- Frequency charts (Data Collection, Bar and Pictograms)
- Probability 1 (Scale and equally likely events)
- Bearings
- Views and Maps
- Constructions & Loci
- Solve equations numerically (Iteration)
- Direct and Inverse Proportion
- Further Algebraic Fractions
- Algebraic Proof
- Circle Graphs
- Data Collection Higher
- Revise - Linear and Quadratic Graphs
- Other Graphs (Trig, Exponetial and Transformations)
- Further graphs (Gradients/Area of curves)
- Volume and Surface Area Higher 3
- Higher Vectors 1
- Higher Vectors 2 and Congruent Triangles
- Enlargement and Similarity
- Types of Numbers and Rules of Indices
- HCF and LCM
- Recurring decimals
- Standard Form (Writing and converting)
- Adding surds
- Adding and Subtracting Fractions
- Fraction equivalents
- Fractions 1 (adding and subtracting)
- Types of numbers
- Collecting, Indices, Expand and Simplify, Solving Equations 1
- Fraction Change
- Standard Form 4 Operations
- Venn Diagrams
- Scatter Diagrams & Frequency Trees & Averages
- Rules of indices (numbers)
- Percentages
- Percentage increase and decrease
- Ratio 1
- Upper and Lower Bounds
- Fractions 2 (multiplying and dividing)
- Dividing and Rationalising surds
- Decimals
- Rounding and Estimating
- Volume 2
- Directed Numbers
- Simplifying Surds
- Surface Area 2
- 4 Rules of Number
- Multiplying Surds
- Repeated Percentage Change
- Ratio 1 & 2
- FDP Equivalents
- Negative and Fractional Indices
- Fractions 1, 2, and Fractional Change
- Ratio 2 (Ratio and Fractions/Direct Proportion/Best Buy)
- Factors Multiple and Primes
- Revise - Solving Equations