L.O: To explore the methods for dividing with fractions.
Aspire – I can explain the process of ensuring my answers are in their most efficient form.
Challenge - I can divide mixed number fractions by a whole number.
Achieve – I can divide a proper fraction by a whole number or proper fraction.
Maths/Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Dividing fractions with a focus on using a method called… Keep, change, flip, so that the same methods for handling the multiplication of fractions can be used.
L.O.-To explore the use of angles.
Achieve – I can understand that an angle is measuring the quantity of a turn in degrees.
Challenge - I can identify the different types of angles.
Aspire – I can explain how the properties of angles allow me to infer facts about them.
Maths/Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Understanding what an angle is and how to measure them using a protractor. Recognising the different types of angles. Then a focus on right-angles, straight lines and a full turn and how they will always be 90, 180 and 360. Calculating missing angles if these a broken up.
L.O.-To deduce missing angles of shapes.
Achieve – I can identify the relevant expected total of the inner angles for common shapes.
Challenge - I can calculate missing angles for common shapes when provided the other relevant angles.
Aspire – I can explain how to blend the technique for solving multi-step missing angles with multiple linked shapes.
Maths/Numeracy lesson for KS2, year 4, 5 or 6 depending on how you aim it. Plenty of differentiation through various tasks. Recap angles in right angles, straight lines and full turns. Building on understanding of total angles in quadrilaterals and triangles. Using the corners of the shapes to make a straight line or full turn to help reinforce why they add up to 180 or 360. Deducing missing angles. Combining multiple shapes.
L.O. - To express linear number sequences with representative algebraic equations.
Aspire: I can adapt the use of my algebraic equations to solve problems and make predictions.
Challenge: I can generate algebraic equations to represent a number sequence.
Achieve: I can identify and apply patterns within number sequences.
L.O.- To explore the relationship of angles around intersecting lines.
Achieve – I can identify the opposite angles of intersecting lines.
Challenge - I can calculate the value of adjacent angles with intersecting lines.
Aspire – I can apply the concepts of intersecting lines to those across parallel lines.
Maths lesson for key stage 2 pupils . Aimed at Year6/Year 5 (or possibly Year 4 depending on ability to be pitched at). Differentiated maths lesson covering the relationships between angles on intersecting lines. Deducing missing angles based on those relationships. Accelerated learning cycle. Opposite, adjacent and corresponding angles. Recap of total angles in a triangle or quadrilateral.
A mental arithmetic challenge system. Pupils are assigned as red level at the start of the year and given a number. Such as Red = 12 on week 1. They then apply all the arithmetic challenge tasks (20 questions) to the number 12.
x 2 so 12 x 2 = 24
find 1/2 find 1/2 of 12 = 6
x 0.5 12 x 0.5 = 6
find 1% 1% of 12 = 0.12
And so on.
Give new numbers of a similar difficulty to the colours each week.
If they score better than a red score (which would be 12/20 or better) for three tests in a row, they are moved to the next colour level… yellow.
Then children who are on red do another easyish number, like 14. Yellow would be a trickier number, such as 27. Pupils work their way up the colour levels.And have to score better than their colour score, three times again to progress.
The excel sheet, can quickly calculate the correct answers to allow for peer marking by selecting the answer column then using the plus symbol in the bottom corner and dragging it back through all the levels.
Pupils keep a question level analysis tracker to identify any patterns of incorrect answers.
Update the records sheet on the excel document in order to track what colour level pupils are on, and their scores as well as looking at progression of the class average.
Question types:
multiplication
division
decimals
place value manipulation
fractions
percentages
addition
subtraction
square and cube
algebra
bodmas
The test encourages spotting patterns and equivalent fraction, decimal and percentages to be able to use answers to previous questions or adapt them to make other solutions quicker.
2 follow on lessons for building on skills that allow to find landmark percentages through place value manipulation division. Then building in to combing these percentages for various totals.
L.O.-To find percentages of an amount using landmark percentages.
Achieve: I can know what to divide by to find 1% or 10% of an amount.
Challenge: I can use place value manipulation to find 1% and 10% of an amount.
Aspire: I can explain the efficiency of a method to find 1% and 10% of an amount.
L.O.-To find percentages of an amount using landmark percentages.
Achieve: I can accurately find values of 1% and 10%.
Challenge: I can combine landmark percentages to find other values.
Aspire: I can explain the efficiency of different landmark percentage combinations to achieve a value.
A collection of three numeracy lessons on angles for year 5 or year 6 depending on how it is to be aimed.
Differentiated tasks in each lesson, build at first on measuring angles with a protractor, to then identifying acute, obtuse and reflex.
This then builds on knowledge of right-angles, straight lines and full turns, to deduce missing angles.
Activities to build on inner angles of triangle and quadrilaterals, then deducing missing angles.
Final lesson looks at angle on intersecting lines and intersecting lines across parallel lines and deducing missing angles on these lines.
All lessons follow an accelerated learning cycles, with connection tasks, activation, main activities, demos and consolidation opportunities.
L.O: To explore the methods for multiplying with fractions.
Achieve – I can multiply a proper fraction by a whole number.
Challenge - I can multiply mixed number fractions by a whole number.
Aspire – I can explain the process of ensuring my answers are in their most efficient form.
Two Maths/Numeracy lessons for KS2, year 4, 5 or 6 depending on how you aim it. Multiplying fractions with a focus on the methods for handling proper fractions in lesson 1. Then lesson 2 switches the focus to being able to multiply mixed number fractions.