Interactive worksheet on finding the mode. Buttons allow students to assess their own progress.
The mode is the number or item that appears most often in a set of data. Understanding the mode can help identify trends, like finding the most popular shoe size in a store or the favorite sport in a school survey!
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Students are given two coordinates and asked to find the equation of the straight line that passes through them. For scaffolding purposes the answer is entered in three stages: (1) Gradient (2) y-intercept (3) Final equation. Interactive button allows students to check their own progress.
The equation of a line connecting two coordinates is a key concept in geometry and algebra. It’s used to describe the relationship between two points on a plane. For example, this idea is essential in navigation, computer graphics, and even architecture when designing structures. Understanding how to find this equation allows you to predict how one value changes in relation to another, like plotting a path between two locations on a map!
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Practise rounding small numbers to two significant figures. Interactive buttons allow students to assess their own understanding.
Rounding small numbers to two significant figures is a crucial skill in science, engineering, and everyday problem-solving. It helps simplify calculations while keeping the results precise enough for practical use. For instance, when dealing with measurements like 0.00456 grams, rounding makes the data easier to interpret and communicate accurately.
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All 8 scaffolded interactive worksheets:
Direct and inverse proportion
Direct and inverse proportion to the square
Direct and inverse proportion to the square root
Direct and inverse proportion to the cube
Direct proportion is a concept where two quantities increase or decrease at the same rate. It’s useful in situations like scaling recipes, converting measurements, or calculating travel times. Understanding direct proportion helps you solve real-world problems where one quantity directly affects another.
Inverse proportion is when one quantity increases as another decreases, and vice versa. This relationship is found in everyday scenarios like speed and travel time, or supply and demand. Understanding inverse proportion helps you solve problems where two quantities are inversely related, allowing you to predict how one affects the other.
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4 scaffolded worksheets that provide instant feedback to students:
Inverse proportion
Inverse proportion to the square
Inverse proportion to the square root
Inverse proportion to the cube
Inverse proportion is when one quantity increases as another decreases, and vice versa. This relationship is found in everyday scenarios like speed and travel time, or supply and demand. Understanding inverse proportion helps you solve problems where two quantities are inversely related, allowing you to predict how one affects the other.
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Practise direct proportion to a variable cubed using this interactive scaffolded worksheet. Students receive instant feedback on their progress.
Direct proportion to the cube is when one quantity increases or decreases as the cube of another. This relationship often appears in physics, such as when calculating the volume of a sphere, which is directly proportional to the cube of its radius.
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Practise rounding to 2 decimal places using this interactive worksheet. Provides instant feedback on progress.
Rounding to two decimal places is especially important in financial calculations, like dealing with currency, interest rates, or tax. It ensures accuracy when working with money, as most currencies use two decimal places for precise values.
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Interactive worksheet that tests students on rounding to 1 decimal place and provides instant feedback.
Rounding to one decimal place is useful in situations where you need a bit more precision, such as calculating money, measuring distances, or working with scientific data. It allows you to simplify numbers while still keeping important detail for accuracy.
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Practice direct proportion to the square using this scaffolded interactive worksheet. Immediate feedback allows students to check their own progress.
Direct proportion to the square is when one quantity increases or decreases in proportion to the square of another quantity. This relationship is common in areas like physics, where force and area are connected, or in geometry when calculating areas of shapes. Understanding this concept helps in solving problems where changes aren’t linear but grow or shrink more rapidly.
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Scaffolded interactive worksheet on inverse proportion to the square. Answer boxes turn green as students complete each scaffolding prompt.
Inverse proportion to the square occurs when one quantity decreases in proportion to the square of another. This is commonly seen in physics, such as in gravitational force or light intensity, where distance affects the strength of the force or brightness. Understanding this concept helps in solving problems where small changes in one value lead to much larger changes in another.
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Scaffolded interactive worksheet. Provides student with immediate feedback on their progress.
Direct proportion to the square root occurs when one quantity changes in proportion to the square root of another. This concept is useful in physics and engineering, such as understanding the relationship between speed and stopping distance, or pressure and volume in gases. It helps in solving problems where changes happen more gradually as one value grows.
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Scaffolded interactive worksheet allowing students to practise inverse proportion to the cube. Prompts and immediate feedback allow students to stay on the correct path!
Inverse proportion to the cube occurs when one quantity decreases in proportion to the cube of another quantity. This relationship is commonly seen in physics, such as in gravitational or electrostatic forces, where the strength of the force diminishes rapidly with increasing distance. Understanding this concept is essential for solving problems where changes become dramatically smaller as one value grows larger.
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Scaffolded interactive worksheet on inverse proportion to the square root. Students see immediate positive feedback when they respond to the scaffolded prompts correctly.
Inverse proportion to the square root occurs when one quantity decreases as the square root of another quantity increases. This concept is often found in areas like physics, such as the relationship between pressure and volume in gases or certain diffusion processes. Understanding this relationship helps in solving problems where the change in one value slows down as another value increases.
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Interactive worksheet for practising index laws of multiplication. Students assess own progress using the “check answer” button.
The index laws of multiplication are important for simplifying expressions involving powers. They allow you to efficiently handle large numbers and complex calculations in fields like algebra, physics, and computer science. By mastering these laws, you can solve problems involving repeated multiplication in a much faster and more organized way.
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Interactive worksheet that gives students immediate feedback on their progress. Tests students on their knowledge of:
the first 15 square numbers
the first 10 cubic numbers
power of 0
fractional powers
negative powers
combinations of fractional and negative powers
Evaluating fractional and negative powers is crucial in fields like engineering, physics, and computer science. Fractional powers help in calculating roots, while negative powers are used to represent small values or inverses, making them essential for solving equations and understanding real-world exponential relationships.
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Practise multiplying in standard form, giving your answer in standard form only. Interactive buttons allow students to check their own progress.
Multiplying in standard form is a useful way to handle very large or very small numbers, especially in fields like astronomy or chemistry. By expressing numbers as powers of ten, it simplifies calculations and helps make sense of extreme values in the real world, such as distances between planets or the size of microscopic organisms.
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Practise subtraction leaving answers in standard form. Interactive buttons allow students to assess their own progress.
Subtracting in standard form involves working with numbers written as powers of 10. This skill is essential when dealing with very large or very small numbers, such as in scientific measurements or astronomy, where precision is key. By mastering subtraction in standard form, you’ll be able to handle these types of calculations more easily in fields like physics and engineering.
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Practise adding in standard form. Interactive buttons allow students to assess their own progress.
Adding numbers in standard form is a useful skill in science and engineering, where very large or small numbers are common. Standard form expresses numbers as a power of 10, making calculations easier. For example, scientists might use standard form to quickly add the distances between planets or measure tiny cells under a microscope. Understanding how to add in standard form helps simplify complex real-world calculations!
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Practise dividing, giving answers in standard form. Interactive buttons allow students to assess their own progress.
Dividing numbers in standard form is a useful skill in science and mathematics, especially when working with very large or very small numbers. It’s commonly used in areas like astronomy, physics, and engineering, where quantities can vary widely in scale. By expressing numbers in standard form, complex divisions become much simpler to handle, allowing for easier calculations and comparisons.
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Practise a variety of questions rounding to the nearest integer, one decimal place and two decimal places. Interactive worksheet providing instant feedback to students.
Rounding is a valuable skill that helps you simplify numbers for easier estimation, whether you’re dealing with large figures, decimals, or measurements. It’s commonly used in everyday tasks like budgeting, measuring, or comparing values, allowing you to focus on the most relevant digits without sacrificing too much accuracy.
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