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Complete Mathematics/Secondary Ready in Mathematics
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Secondary Ready in Mathematics


In this comprehensive course, we will look at the key fundamental concepts in mathematics that will serve as a solid foundation upon which to build towards the study of more complex mathematical ideas.

The course is divided into seven sections. Each section covers some ‘big’ ideas with lesson videos, some practice materials, videos of worked solutions and a quiz.

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"This course has helped reinforce my understanding of foundation maths and made sure I don't make mistakes in my working out."

Contents

1. NUMBER

In this series of lessons, we will take an in-depth look at place value by looking at what place value is, different base systems and how we can compare numbers.
1.1 Place Value: Understanding the System
  • 4 mins
  • 81.4 MB
Preview
1.1 Place Value: Understanding the System Worksheet
  • 425 KB
Preview
1.1 Place Value: Understanding the System Worksheet Solutions
  • 5 mins
  • 84.9 MB
Preview
1.2 Place Value: Different Bases
  • 7 mins
  • 126 MB
1.2 Place Value: Different Bases Worksheet
  • 431 KB
1.2 Place Value: Different Bases Worksheet Solutions
  • 7 mins
  • 121 MB
1.3 Place Value: Comparing Numbers
  • 5 mins
  • 92.7 MB
1.3 Place Value: Comparing Numbers Worksheet
  • 428 KB
1.3 Place Value: Comparing Numbers Worksheet Solutions
  • 5 mins
  • 125 MB
NUMBER: Place Value Quiz

    2. CALCULATIONS

    In this section, we will investigate how to work mentally with addition, subtraction, multiplication, and division by looking at a variety of strategies.

    We will combine all of this by looking at the order of operations and gain a deep understanding of arithmetic.
    2.1 Addition: Mental Strategies
    • 10 mins
    • 172 MB
    2.1 Addition: Mental Strategies Worksheet
    • 428 KB
    2.1 Addition: Mental Strategies Worksheet Solutions
    • 10 mins
    • 190 MB
    2.2 Subtraction: Mental Strategies
    • 10 mins
    • 190 MB
    2.2 Subtraction: Mental Strategies Worksheet
    • 428 KB
    2.2 Subtraction: Mental Strategies Worksheet Solutions
    • 14 mins
    • 388 MB
    2.3 Multiplication: Mental Strategies
    • 7 mins
    • 171 MB
    2.3 Multiplication: Mental Strategies Worksheet
    • 592 KB
    2.3 Multiplication: Mental Strategies Worksheet Solutions
    • 16 mins
    • 437 MB
    2.4 Division: Mental Strategies
    • 6 mins
    • 150 MB
    2.4 Division: Mental Strategies Worksheet
    • 430 KB
    2.4 Division: Mental Strategies Worksheet Solutions
    • 14 mins
    • 366 MB
    2.5 Order of Operations 1
    • 14 mins
    • 173 MB
    2.5 Order of Operations 1 Worksheet
    • 593 KB
    2.5 Order of Operations 1 Worksheet Solutions
    • 7 mins
    • 105 MB
    2.6 Order of Operations 2
    • 8 mins
    • 94.3 MB
    2.6 Order of Operations 2 Worksheet
    • 591 KB
    2.6 Order of Operations 2 Worksheet Solutions
    • 8 mins
    • 155 MB
    CALCULATIONS: Arithmetic Quiz

      Review and Challenge 1

      In each review and challenge section, you will be provided some opportunities to deepen your understanding of topics previously covered in this course. Some questions will be of a more open-ended offering and will require time to think and experiment with. The purpose of this collection of tasks is to help develop your curiosity in mathematics.
      Review and Challenge 1 Worksheet
      • 748 KB
      Review and Challenge 1 Worksheet Solutions
      • 11 mins
      • 19.6 MB

      3. FRACTIONS

      In this section, you will learn about the idea of fractions and how this helps us understand equivalence, the ability to compare and perform calculations with fractions.
      3.1 What is a fraction
      • 2 mins
      • 3.18 MB
      3.1 Unit Fractions
      • 2 mins
      • 2.32 MB
      3.1 Fraction Key Vocabulary
      • 2 mins
      • 2.46 MB
      3.1 Idea of Fractions Worksheet
      • 405 KB
      3.1 Idea of Fractions Worksheet Solutions (Q1)
      • 2 mins
      • 2.87 MB
      3.1 Idea of Fractions Worksheet Solutions (Q2)
      • 2 mins
      • 2.12 MB
      3.1 Idea of Fractions Worksheet Solutions (Q3)
      • 1 min
      • 1.66 MB
      3.1 Idea of Fractions Worksheet Solutions (Q4)
      • 2 mins
      • 3.6 MB
      3.2 Improper Fractions and Mixed Numbers
      • 2 mins
      • 2.53 MB
      3.2 Improper Fractions and Mixed Numbers Worksheet
      • 418 KB
      3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q1)
      • 3 mins
      • 4.14 MB
      3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q2)
      • 4 mins
      • 5.77 MB
      3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q3)
      • 3 mins
      • 3.61 MB
      3.2 Improper Fractions and Mixed Numbers Worksheet Solutions (Q4)
      • 2 mins
      • 3.4 MB
      3.3 Equivalent Fractions
      • 4 mins
      • 5.58 MB
      3.3 Equivalent fractions Worksheet
      • 321 KB
      3.3 Equivalent fractions Worksheet Solutions (Q1)
      • 1 min
      • 1.75 MB
      3.3 Equivalent fractions Worksheet Solutions (Q2)
      • 2 mins
      • 3.43 MB
      3.3 Equivalent fractions Worksheet Solutions (Q3)
      • 3 mins
      • 4.1 MB
      3.3 Equivalent fractions Worksheet Solutions (Q4)
      • 4 mins
      • 6.01 MB
      3.4 Comparing Fractions
      • 3 mins
      • 4.71 MB
      3.4 Comparing fractions Worksheet
      • 272 KB
      3.4 Comparing Fractions Worksheet Solutions (Q1)
      • 3 mins
      • 4.7 MB
      3.4 Comparing Fractions Worksheet Solutions (Q2)
      • 4 mins
      • 6.32 MB
      3.4 Comparing Fractions Worksheet Solutions (Q3)
      • 2 mins
      • 3.26 MB
      3.5 Fractions of Quantities
      • 3 mins
      • 3.56 MB
      3.5 Fractions of Quantities Worksheet
      • 267 KB
      3.5 Fractions of Quantities Worksheet Solutions (Q1)
      • 4 mins
      • 5.61 MB
      3.5 Fractions of Quantities Worksheet Solutions (Q2)
      • 2 mins
      • 2.56 MB
      3.5 Fractions of Quantities Worksheet Solutions (Q3)
      • 1 min
      • 1.66 MB
      3.5 Fractions of Quantities Worksheet Solutions (Q4)
      • 2 mins
      • 2.41 MB
      FRACTIONS: Quiz

        4. TENTHS, HUNDREDTHS & THOUSANDTHS

        In this section, we revisit place value, except this time by looking closely at decimals. We will compare fractions and decimals, as well as, multiplying and dividing decimals. This section culminates in fundamental work on percentages.
        4.1 Decimal Place Values
        • 4 mins
        • 6.85 MB
        4.1 Decimal Place Values Worksheet
        • 270 KB
        4.1 Decimal Place Values Worksheet Solutions (Q1)
        • 2 mins
        • 2.31 MB
        4.1 Decimal Place Values Worksheet Solutions (Q2)
        • 4 mins
        • 6.64 MB
        4.1 Decimal Place Values Worksheet Solutions (Q3)
        • 2 mins
        • 3.01 MB
        4.1 Decimal Place Values Worksheet Solutions (Q4)
        • 3 mins
        • 3.93 MB
        4.2 Fractions and Decimals
        • 2 mins
        • 2.54 MB
        4.2 Fractions and Decimals Worksheet
        • 423 KB
        4.2 Fractions and Decimals Worksheet Solutions (Q1)
        • 2 mins
        • 3.04 MB
        4.2 Fractions and Decimals Worksheet Solutions (Q2)
        • 2 mins
        • 3.41 MB
        4.2 Fractions and Decimals Worksheet Solutions (Q3)
        • 2 mins
        • 2.78 MB
        4.2 Fractions and Decimals Worksheet Solutions (Q4)
        • 2 mins
        • 3.55 MB
        4.3 Multiplying by 10 Using Blocks
        • 2 mins
        • 2.78 MB
        4.3 Multiplying by 10 Using a Place Value Chart
        • 1 min
        • 1.44 MB
        4.3 Division by 10 Using Blocks
        • 2 mins
        • 2.17 MB
        4.3 Dividing by 10 Using a Place Value Chart
        • 2 mins
        • 2.07 MB
        4.3 Multiplying by 100 Using a Place Value Chart
        • 2 mins
        • 3.04 MB
        4.3 Multiply and divide by 10, 100 and 1000 Worksheet
        • 302 KB
        4.4 What are Percentages?
        • 3 mins
        • 3.73 MB
        4.4 Percentages on a Number-line
        • 2 mins
        • 1.9 MB
        4.4 What are Percentages Worksheet
        • 496 KB
        4.4 What are Percentages Worksheet Solutions (Q1)
        • 2 mins
        • 3.32 MB
        4.4 What are Percentages Worksheet Solutions (Q2)
        • 2 mins
        • 2.34 MB
        4.4 What are Percentages Worksheet Solutions (Q3)
        • 2 mins
        • 3.42 MB
        4.4 What are Percentages Worksheet Solutions (Q4)
        • 3 mins
        • 4.02 MB
        4.5 Percentage of a Quantity
        • 2 mins
        • 2.39 MB
        4.5 Finding 10% and 1% of Quantities
        • 2 mins
        • 2.82 MB
        4.5 Percentages of a Quantity Worksheet
        • 426 KB
        4.5 Percentages of a Quantity Worksheet Solutions (Q1)
        • 5 mins
        • 7.52 MB
        4.5 Percentages of a Quantity Worksheet Solutions (Q2)
        • 3 mins
        • 4.5 MB
        4.5 Percentages of a Quantity Worksheet Solutions (Q3)
        • 4 mins
        • 6.33 MB
        4.5 Percentages of a Quantity Worksheet Solutions (Q4)
        • 3 mins
        • 4.49 MB
        TENTHS, HUNDREDTHS & THOUSANDTHS: Quiz

          Review and Challenge 2

          In each review and challenge section, you will be provided some opportunities to deepen your understanding of topics previously covered in this course. Some questions will be of a more open-ended offering and will require time to think and experiment with. The purpose of this collection of tasks is to help develop your curiosity in mathematics.
          Review and Challenge 2 Worksheet
          • 825 KB
          Review and Challenge 2 Worksheet Solutions
          • 12 mins
          • 21.5 MB

          5. RATIO

          In this section, you will learn about ratio. Beginning by understanding what ratio is to sharing unequally, you will find a set of comprehensive lesson videos, practise materials and worked solutions to ensure you have the best opportunity to grasp these key ideas.
          5.1 The Idea of Ratio
          • 3 mins
          • 38.2 MB
          5.1 The idea of ratio Worksheet
          • 106 KB
          5.1 The idea of ratio Worksheet Solutions
          • 3 mins
          • 47.3 MB
          5.2 Relationship between ratio and fractions
          • 5 mins
          • 85.1 MB
          5.2 Relationship between ratio and fractions Worksheet
          • 104 KB
          5.2 Relationship between ratio and fractions Worksheet Solutions
          • 4 mins
          • 75.3 MB
          5.3 Equivalent ratios and simplest form
          • 7 mins
          • 131 MB
          5.3 Equivalent ratios and simplest form Worksheet
          • 94.9 KB
          5.3 Equivalent ratios and simplest form Worksheet Solutions
          • 5 mins
          • 90.9 MB
          5.4 Sharing unequally
          • 4 mins
          • 63.6 MB
          5.4 Sharing unequally Worksheet
          • 117 KB
          5.4 Sharing unequally Worksheet Solutions (Q1)
          • 5 mins
          • 81.8 MB
          5.4 Sharing unequally Worksheet Solutions (Q2)
          • 4 mins
          • 65.9 MB
          5.4 Sharing unequally Worksheet Solutions (Q3)
          • 4 mins
          • 72 MB
          RATIO: Quiz

            6. SHAPE & SPACE

            In this section we will explore some of the key ideas in geometry from angles to volume, ensuring you understand the concepts fully.
            6.1 Angles
            • 3 mins
            • 52 MB
            6.1 Angles Worksheet
            • 122 KB
            6.1 Angles Worksheet Solutions (Q1)
            • 1 min
            • 16.1 MB
            6.1 Angles Worksheet Solutions (Q2)
            • 2 mins
            • 27.9 MB
            6.1 Angles Worksheet Solutions (Q3)
            • 3 mins
            • 47.5 MB
            6.2 Perimeter
            • 3 mins
            • 50.8 MB
            6.2 Perimeter Worksheet
            • 106 KB
            6.2 Perimeter Worksheet Solutions
            • 5 mins
            • 78.1 MB
            6.3 Area of squares and rectangles
            • 3 mins
            • 54.1 MB
            6.3 Area of squares and rectangles Worksheet
            • 120 KB
            6.3.3 Area of squares and rectangles Worksheet Solutions
            • 3 mins
            • 55.5 MB
            6.4 Area of triangles
            • 4 mins
            • 61.9 MB
            6.4 Area of triangles Worksheet
            • 123 KB
            6.4 Area of triangles Worksheet Solutions (Q1)
            • 3 mins
            • 38.3 MB
            6.4 Area of triangles Worksheet Solutions (Q2)
            • 2 mins
            • 27.1 MB
            6.4 Area of triangles Worksheet Solutions (Q3)
            • 2 mins
            • 24 MB
            6.4 Area of triangles Worksheet Solutions (Q4)
            • 3 mins
            • 57.3 MB
            6.5 Volume of cuboids
            • 4 mins
            • 72.7 MB
            6.5 Volume of cuboids Worksheet
            • 121 KB
            6.5 Volume of cuboids Worksheet Solutions (Q1)
            • 2 mins
            • 32.6 MB
            6.5 Volume of cuboids Worksheet Solutions (Q2)
            • 2 mins
            • 23.3 MB
            6.5 Volume of cuboids Worksheet Solutions (Q3)
            • 3 mins
            • 47.6 MB
            SHAPE & SPACE: Quiz

              7. ALGEBRA

              In this section, we will introduce algebra. We will work through some key ideas on what variables are, substitution and simple equation solving.
              7.1 Variables
              • 3 mins
              • 56.1 MB
              7.1 Variables Worksheet
              • 94.6 KB
              7.1 Variables Worksheet Solutions (Q1)
              • 2 mins
              • 23 MB
              7.1 Variables Worksheet Solutions (Q2)
              • 2 mins
              • 33.6 MB
              7.1 Variables Worksheet Solutions (Q3)
              • 2 mins
              • 29.7 MB
              7.1 Variables Worksheet Solutions (Q4)
              • 3 mins
              • 38.3 MB
              7.2 Substitution
              • 5 mins
              • 82 MB
              7.2 Substitution Worksheet
              • 98.6 KB
              7.2 Substitution Worksheet Solutions (Q1)
              • 3 mins
              • 48.9 MB
              7.2 Substitution Worksheet Solutions (Q2)
              • 2 mins
              • 28.4 MB
              7.2 Substitution Worksheet Solutions (Q3)
              • 2 mins
              • 25.6 MB
              7.3 Simple Equations
              • 4 mins
              • 62.5 MB
              7.3 Simple Equations Worksheet
              • 108 KB
              7.3 Simple Equations Worksheet Solutions (Q1)
              • 2 mins
              • 30.5 MB
              7.3 Simple Equations Worksheet Solutions (Q2)
              • 2 mins
              • 32.9 MB
              7.3 Simple Equations Worksheet Solutions (Q3)
              • 2 mins
              • 36.4 MB
              ALGEBRA: Quiz

                Review and Challenge 3

                In each review and challenge section, you will be provided some opportunities to deepen your understanding of topics previously covered in this course. Some questions will be of a more open-ended offering and will require time to think and experiment with. The purpose of this collection of tasks is to help develop your curiosity in mathematics.
                Review and Challenge 3 Worksheet
                • 759 KB
                Review and Challenge 3 Worksheet Solutions
                • 12 mins
                • 21.9 MB

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