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Statistics & Mathematics for Data Science and Data Analytics - Solution: Skewness
New ReviewThis video is an explanation of the practice lesson/exercise of skewness.
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Understanding Equivalent Fractions: Reducing Fractions to Simplest Form
New ReviewThis video explains the concept of reducing fractions by showing examples of fractions that have the same value but are not in their simplest form. The teacher demonstrates that fractions such as 4/8, 2/4, and 1/2 are all equivalent,...
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Understanding Fractions: The Basics of Reading and Writing
New ReviewThis video provides a clear and concise explanation of fractions, using relatable examples such as dividing a pizza into slices and determining the fraction of pets in a group. The instructor explains the concept of fractions as...
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Exponential Problems
New ReviewA video entitled "Exponential Problems" which shows how to apply exponent rules to simplify an expression.
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How to Add & Subtract Fractions
Once you know the trick to adding and subtracting fractions with different denominators, you'll have no problem with these problems.
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How to Multiply Mixed Numbers
Do you need two and a half dozen cookies, but a recipe only makes one dozen? Don't let the daunting task of multiplying mixed numbers get in the way.
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Use representations to describe and compare fractions
Pupil outcome: I can use representations to describe and compare fractions. Key learning points: - When you compare fractions, the whole must be the same. - Use representations of sets of objects to divide them into equal parts. - Count...
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Compare fractions with the same numerator
Pupil outcome: I can compare fractions with the same numerator. Key learning points: - To compare fractions with the same numerator, the whole must be the same. - When the numerators are the same, the greater the denominator, the smaller...
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Solve problems involving multiplying proper fractions by whole numbers
Pupil outcome: I can solve problems involving multiplying proper fractions by whole numbers. Key learning points: - Use the language of unitising '__ groups of __ is equal to __' - The numerator of the fraction is multiplied by the whole...
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Use fraction notation to describe an equal part of the whole
Pupil outcome: I can use fraction notation to describe an equal part of the whole. Key learning points: - The whole has been divided (division bar). - The whole has been divided into __ equal parts (denominator). - One of the parts has...
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Explain the relationship between numerators and denominators across equivalent fractions
Pupil outcome: I can explain the relationship across numerators and denominators in equivalent fractions. Key learning points: - In equivalent fractions the numerators will share a common factor and the denominators will share a common...
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Compare non-unit fractions including those equal to 1
Pupil outcome: I can compare non-unit fractions including those equal to 1 Key learning points: - To compare non-unit fractions, the whole must be the same for each fraction. - When the numerators are the same, the greater the...
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Identify non-unit fractions
Pupil outcome: I can identify non-unit fractions. Key learning points: - A non-unit fraction has a numerator greater than 1; it is composed of more than one unit fraction. - We say, 'the whole has been divided into ___ equal parts, and I...
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Multiply a proper fraction by a whole number where the product is within a whole
Pupil outcome: I can multiply a proper fraction by a whole number where the product is within a whole. Key learning points: - If 4 groups of 2 are equal to 8 then 4 groups of 2 ninths are equal to 8 ninths - __ groups of __ is equal to...
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Checking understanding of addition and subtraction with fractions
Pupil outcome: I can use the mathematical structures that underpin the addition and subtraction of fractions. Key learning points: - The denominators of each fraction should split the whole into the same number of equal pieces. - The...
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Checking understanding of multiplication with fractions
Pupil outcome: I can use the mathematical structures that underpin the multiplication of fractions. Key learning points: - An array can help expose the structure behind multiplying fractions. - The denominators give us the number of rows...
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Subtract fractions from a whole by converting the whole to a fraction
Pupil outcome: I can subtract fractions from a whole by converting the whole to a fraction. Key learning points: - A fraction with the same numerator and denominator is equal to one whole. - To subtract a fraction from a whole, convert...
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Add fractions with the same denominator and generalise the rule
Pupil outcome: I can add fractions with the same denominator and generalise the rule. Key learning points: - To add fractions with the same denominator you add the numerators using the language of unitising. - If 2 plus 3 is equal to 5...
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Explain when a calculation represents scaling down and when it represents repeated addition
Pupil outcome: I can explain when a calculation represents scaling down and when it represents repeated addition Key learning points: - A calculation can represent scaling down or finding a fraction of the whole number. - A calculation...
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Use knowledge of unit fractions to find one whole
Pupil outcome: I can use my knowledge of unit fractions to find one whole. Key learning points: - When the numerator and denominator have the same value, the fraction is equal to one whole. - If the numerator is less than the...
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Compare non-unit fractions with the same denominator
Pupil outcome: I can compare non-unit fractions with the same denominator. Key learning points: - To compare non-unit fractions, the whole must be the same for each fraction. - When you compare fractions with the same denominator, the...
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Use knowledge of non-unit fractions to solve problems
Pupil outcome: I can use knowledge of non-unit fractions to solve problems. Key learning points: - The whole has been divided (division bar). - The whole has been divided into ___ equal parts (denominator). - A number of the parts have...
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Checking and securing understanding of fractions
Pupil outcome: I can represent fractions as numbers. Key learning points: - Proper fractions represented in diagrams can be written as numbers. - Improper fractions represented in diagrams can be written as numbers. - Some fractions...
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Add and subtract fractions with the same denominator in a range of contexts
Pupil outcome: I can add and subtract fractions with the same denominator in a range of contexts. Key learning points: - If fractions have the same denominator they can be added or subtracted. - Number lines can represent addition and...