Канал: DrFrostMaths - Смотреть видео c канала или скачать видео c канала в MP4, музыку MP3 на телефон или компьютер.

$Solve problems involving the cost of covering a fraction of a circle or quantity of materials needed$

Updated Courses System - September 2024

DrFrostMaths

DrFrostMaths

Updated Courses System - September 2024

How to use a course as a student on Dr Frost

Use the area of a triangle to find a length.

Use Pythagoras' theorem twice where a right-angled triangle is inscribed into another.

Use Pythagoras' theorem twice where a hypotenuse and shorter length are shared.

Use Pythagoras' theorem to solve problem involving movement in cardinal directions.

Use Pythagoras' theorem to find the area of a triangle.

Factorise quadratics of the form ax^2+bxy+cy^2.

Multiply or divide surds with algebra.

Expand a single bracket with surds, where simplification of surds is required.

Solve worded problems involving depth of a filled container.

Equate the area of fractions of circles or full circles to determine a length.

Solve problems involving the cost of covering a fraction of a circle or quantity of materials needed

Find the exact perimeter of a simple fraction of a circle.

Find the exact circumference of a full circle.

Find the exact area of a simple fraction of a circle.

Determine the number of revolutions of a wheel across a given distance.

Determine the circumference of a circle given the area or perimeter of an enscribing square.

Determine a cost involving the circumference of a full circle.

Rationalise the denominator of a fraction in the form a / (√b + √c).

Simplify (a / √b)^n where n is large.

Simplify expressions of the form (a + √b) / √c

Rationalise the denominator of a fraction with a single surd, subsequent simplification is required.

Compare coefficients of surds and non-surds to determine values of variables.

Multiple three brackets involving surds.

Divide two surds that require simplifying.

Square a surd.

Multiply multiples of surds.

Write a surd in the form √a.

Expand an expression of the form (ax+b)^3+(cx+d)^2

Expand an expression of the form (ax+b)^2(cx+d)

Expand expressions of the form (a+b/x)^2

Expand expressions of the form (ax+b)^2 - (cx+d)^2

Expand two brackets in the form ax(bx+c)(dx+e).

Round a whole number to a given number of significant figures.

Solve a multi-step worded problem involving a percentage change.

Determine the decimal multiplier that would lead to a percentage increase or decrease.

3 How to create and worksheet worksheet template when browsing By Topic

11 How to complete an assigned task homework

10 The student view

6 How to build a worksheet from Choose questions

7 How to build a course

2 An introduction to Dr Frost Key Skills

12 How to start an independent practice

5 How to set flexible questions as a task

9 Analysing Pupil Progress

8 How to use the shadow paper generator

4 How to set a worksheet as a task

1 How to create a class using Import by Spreadsheet

Combine a linear and a quadratic inequality.

Solve quadratic inequalities involving a division by a positive algebraic expression.

Solve quadratic inequalities of the form -x^2 + bx + c ≥ 0 or -x^2 + bx + c ≤ 0

Solve quadratic inequalities of the form ax^2 ≥ b or ax^2 ≤ b

Solve quadratic inequalities of the form x^2 + bx + c ≥0 or x^2 + bx + c≤0, requiring rearrangement.

Determine the area of a triangle formed by a tangent to a circle.

Determine the x-intercept or y-intercept of a tangent to a circle.

Add or subtract algebraic fractions with a factorised quadratic in one denominator.

Add or subtract a mixture of fractional and non-fractional terms.

Solve an equation with a single algebraic fraction on each side of the equation.

Solve an equation with a single algebraic fraction on one side of the equation.

Solve an equation requiring multiplication by a single algebraic term, leading to a quadratic.

Divide algebraic fractions requiring prior factorisation, including a non-monic quadratic.

Multiply algebraic fractions requiring prior factorisation, including a non-monic quadratic.

Divide algebraic fractions requiring prior factorisation (excluding non-monic quadratics).

Multiply algebraic fractions requiring prior factorisation (excluding non-monic quadratics).

Determine regular polygons that would fit together with other regular polygons.

Find angles in polygons within regular polygons.

Determine the number of sides of a polygon given a ratio between its interior and exterior angles.

Determine an angle in a shape formed by using sides or extended sides of polygons.

Determine the remaining angle around a point where two or three polygons meet.

Determine interior angles of a polygon where there is relationship given between some angles.

Calculate tax due on a salary or purchase based on allowances and different thresholds.

Find the percentage of some portion of an amount.

Solve a multi-step worded problem involving a percentage of an amount.

Form a four-part ratio.

Combine ratios where the second/third ratios are subdivisions of each part of the first.

Combine ratios where the second ratio is a subdivision of one of the parts of the first.