The resources on this page will hopefully help you teach AO2 and AO3 of the new GCSE specification - problem solving and reasoning.
This brief lesson is designed to lead students into thinking about how to solve mathematical problems. It features ideas of strategies to use, clear steps to follow and plenty of opportunities for discussion.
The PixiMaths problem solving booklets are aimed at "crossover" marks (questions that will be on both higher and foundation) so will be accessed by most students. The booklets are collated Edexcel exam questions; you may well recognise them from elsewhere. Each booklet has 70 marks worth of questions and will probably last two lessons, including time to go through answers with your students. There is one for each area of the new GCSE specification and they are designed to complement the PixiMaths year 11 SOL.
These problem solving starter packs are great to support students with problem solving skills. I've used them this year for two out of four lessons each week, then used Numeracy Ninjas as starters for the other two lessons. When I first introduced the booklets, I encouraged my students to use scaffolds like those mentioned here , then gradually weaned them off the scaffolds. I give students some time to work independently, then time to discuss with their peers, then we go through it as a class. The levels correspond very roughly to the new GCSE grades.
Some of my favourite websites have plenty of other excellent resources to support you and your students in these assessment objectives.
@TessMaths has written some great stuff for BBC Bitesize.
There are some intersting though-provoking problems at Open Middle.
I'm sure you've seen it before, but if not, check it out now! Nrich is where it's at if your want to provide enrichment and problem solving in your lessons.
MathsBot by @StudyMaths has everything, and if you scroll to the bottom of the homepage you'll find puzzles and problem solving too.
I may be a little biased because I love Edexcel, but these question packs are really useful.
The UKMT has a mentoring scheme that provides fantastic problem solving resources , all complete with answers.
I have only recently been shown Maths Problem Solving and it is awesome - there are links to problem solving resources for all areas of maths, as well as plenty of general problem solving too. Definitely worth exploring!
Game Central
Inequalities, absolute value and rounding, related concepts.
IMAGES
VIDEO
COMMENTS
The Corbettmaths Textbook Exercise on Ratio: Problem Solving
Quadratics: solving (completing the square) ... Ratio: solving problems 1 Video 271e Textbook Exercise. Reflections Video 272 Practice ... Number: Writing words in figures Video 363 ...
Cube Numbers Video 14 Questions Answers. Decimals: adding Video 15 Questions Answers. Decimals: multiplying Video 16 Questions Answers. Decimals: ordering Video 17 Questions Answers. Dividing by 10, 100, 1000 Video 18 Questions Answers
Next: Multiplying and Dividing by 10, 100, 1000 Questions. A worksheet on Think of a Number questions.
Cube Numbers Questions. Previous: Cube Numbers Questions. Primary 5-a-day, videos, worksheets and more.
The PixiMaths problem solving booklets are aimed at "crossover" marks (questions that will be on both higher and foundation) so will be accessed by most students. The booklets are collated Edexcel exam questions; you may well recognise them from elsewhere. Each booklet has 70 marks worth of questions and will probably last two lessons ...
24 are white chocolate. 16 are milk chocolate. 8 are dark chocolate. (a) Write down the ratio of white chocolate to milk chocolate to dark chocolate. Give your ratio in its simplest form. Rachel has some apples and bananas. The ratio of apples to bananas is 2 : 3 She has 14 apples.
Topics Corbettmaths Other Solving problems - all four operations Addition - Video 6 Subtraction - Video 304 Division - Video 98 ... Prime numbers Video 225 Maths is fun notes Indices Video 172 CIMT practice: Indices (up to question 4 Roots Square roots Video 228 Cube roots Video 214
Number problems are often set in a context, typically involving money or an amount of an item. To be confident at solving number problems, it is essential to understand the basics of fractions ...
GCSE; Edexcel; Solving 'number' problems - Edexcel Test questions. Number problems often involve a combination of fractions, decimals, percentages and ratio. They can be set in a real-life context.
Reasoning and Problem Solving - Negative Numbers - Teaching Information. 1a.Jo has recorded each answer to the questions below on the number line. 6 more than -9. 5 subtract 14. 1b. Bert has recorded each answer to the questions below on the number line. 3 subtract 9. 8 more than -4.
5. Write down the value of eight squared. 6. Write down the value of 122. 9. 100 can be found by adding together two different square numbers. ++ = 100. square number square number. Fill in the missing square numbers. 10. 92 + 52.
AT&T says it has resolved an outage that left some customers in the dark on Tuesday. Earlier, the company said a problem prevented many AT&T customers from completing calls between carriers ...
Want to conquer some verbal trickery next? Try solving the viral numbers on a clock riddle. Credit rating. BrainSnack. Which number is missing on the bottom credit card? Answer: 8. The number ...
The Corbettmaths Practice Questions on the LCM and HCF. Welcome; Videos and Worksheets; Primary; 5-a-day. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths ... Practice Questions. Previous: Midpoint of Two Numbers Practice Questions. Next: Place Value Practice Questions. GCSE Revision Cards. 5-a-day Workbooks. Primary Study Cards. Search ...
Polynomial. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates ...
Click here for Answers. . division, divide, multiplying, multiplication, powers of ten. Practice Questions. Previous: Division Practice Questions. Next: Enlargements Practice Questions. The Corbettmaths Practice Questions on Multiplying and Dividing by 10, 100, 1000 etc and also powers of ten.
The Corbettmaths Textbook Exercise on Solving Equations. Previous: Equations involving Fractions Textbook Exercise
The Corbettmaths Practice Questions on finding a percentage of an amount.
The Corbettmaths Practice Questions on Adding Fractions. Previous: Solving Quadratics Practice Questions
58. Solve x² − 6x − 20 = 0 Give your answers to 1 decimal place..... (3) 59. Here are the nth terms of 4 sequences. Sequence 1 nth term 3n + 1 Sequence 2 nth term 5n + 10 Sequence 3 nth term 10n Sequence 4 nth term 5n - 1 For each sequence state whether the numbers in the sequence are A Always multiples of 5 S Sometimes multiples of 5 N ...
Ratio: solving problems 1 Video 271e Textbook Exercise Reflections Video 272 Practice Questions Textbook Exercise Reflections: describing Video 273 Practice Questions Textbook Exercise