Worded quadratic equation problems requiring students to decompose a problem, form a quadratic equation, factorise it and solve it. They then have to choose a solution that matches the context of the question. This is the FREE version of the popular (8k+ downloads and TES Picks) resource with a 2 x Grade 5 questions and solutions. The full resource can be found here with 7 x Grade 5 - Grade 7 questions. It’s ideal for a 45-60 minute lesson and students can select what they want to do.
WANT TO PREPARE STUDENTS TO FACTORISE QUADRATICS? Why not take a look at this graded worksheet with examples on how to factorise quadratics using the box method.
WANT TO HELP STUDENTS GRASP COMPLETING THE SQUARE? Why not take a look at this visual method resource which provides step-by-step guidance and questions on how to complete the square .
WANT TO BUY A QUADRATICS BUNDLE AND SAVE MONEY AND TIME?
Take a look at this factorising quadratics, solving quadratic equations and completing the square bundle.
Graded algebra worksheet which can be used as a revision lesson or assessment. Out of 100 marks with a simple feedback tool (WWW/EBI/Next Steps) for teacher / student evaluation. Indicates GCSE grades next to each topic to show progression. Covers the following topics:
GRADE 1: Simplifying expressions involving 1 variable
GRADE 2: Simplifying expressions involving 2 variables
GRADE 3: Substitution
GRADE 3: Expanding single brackets
GRADE 3: Factorise into single brackets
GRADE 4: Expanding and simplifying single brackets
GRADE 4: Expanding double brackets (quadratics)
GRADE 5: Factorising quadratics where coefficient of x squared = 1
GRADE 5: Changing the subject of a formula
GRADE 5: Difference of two squares
GRADE 7: Expanding triple brackets
GRADE 7: Factorising quadratics where coefficient of x squared not = 1
Feedback / edits welcome.
A step by step and visual resource for students to find LCM and HCF of two numbers using prime factor trees and Venn diagrams. Worksheet ladders students through key skills and helps them develop confidence in this area. Resources requires 30-45 minutes to deliver. Included is a teacher PPT and print ready PDFs (2 per page or 1 per page). Contents:
Teacher led example (with build)
2 x guided questions with steps removed each time to make it harder
2 x independent questions so students can replicate the whole process
1 x grade 5 question
Answers
7 x Grade 5 - Grade 7 worded problems requiring students to decompose problem, form quadratic equation, factorise and solve it. They then have to choose a solution that matches the context of the question. Ideal for one 45-60 minute lesson with laddered activities to show progress or to allow students to pick questions they want to work on.
WANT TO PREPARE STUDENTS TO FACTORISE QUADRATICS? Why not take a look at this graded worksheet with examples on how to factorise quadratics using the box method.
WANT TO BUY A QUADRATICS BUNDLE AND SAVE MONEY AND TIME?
Take a look at this factorising quadratics, solving quadratic equations and completing the square bundle.
A visual and step by step worksheet (ideal for one lesson) teaching students how to factorise quadratics using the box method. Two resources included - one for Foundation and one for Higher. Higher worksheet covers quadratics where coefficient of x square = 1 and not = 1. Answers provided.
2 x programming starters for Python: “predict the output” and “spot the error”. Covers sequences and data types. Ideal for recapping early Python lessons. Answers provided. DOC and PDF files included for each starter.
This resource steps students to develop confidence in using use sin / cos / tan to find missing lengths and angles in right angled triangles. Scaffolded activities for the following:
Labelling the sides of a right angled triangle (opp, adj, hyp)
Investigation on how the ratio between two sides in a right angled triangle gives rise to sin / cos / tan values
Using FORMULA TRIANGLES to help with usage of SOH, CAH, TOA formula triangles
Finding MISSING LENGTHS in a right angled triangle (with a step by step guide and independence building questions)
Finding MISSING ANGLES in a right angled triangle (with a step by step guide and independence building questions)
Working through all resources would require 60-100 minutes.Potentially 2 lessons.
Answers are included for some of the activities and a sin/cos/tan value table for students who don’t have a scientific calculator.
Help students become familiar with pseudocode by asking them to match pseudocode programs to their purposes (or explaining them if higher ability). This activity includes use of IF statements, FOR loops, WHILE loops, STRING manipulation, FUNCTIONS and ARRAYS. Lower ability students can do the matching activity and higher ability can provide the purpose rather than match. Files for both included as well as answers. DOC and PDF file formats provided.
Help students become proficient with iteration / loops and pseudocode by asking them to identify infinite loops as well as providing loop counts for non-infinite loops. Includes a question on nested loops as a challenge. Ideal for a starter, plenary or homework. Answers included. DOC and PDF file formats provided.
Help students become familiar with pseudocode by asking them to fill in the blanks for 3 pseudocode programs. This activity includes use of IF statements, FOR loops and WHILE loops. Ideal for a starter, plenary or homework. Answers included. DOC and PDF file formats provided.
Visual method and step-by-step help on how to complete the square. Includes 2 examples and 4 questions which help students to access the how and why of completing the square as well as serving as a good introduction to the topic. Questions cover the form for x^2 + bx and x^2 + bx + c. Answers provided.
4 worded fraction problems (non-calculator) to encourage students to visualise the problem, write the method and highlight the answer. All focus on amount sharing and there is a “make up your own question at the end”. Ideal for Higher and Foundation (Grade 4). Should take 30-45 minutes.
Students need to find and fix logic and syntax errors in 4 pseudocode style programs. For each one, they have to provide the line number for the logic/syntax error, an explanation and a fixed version. Activity mirrored on GCSE style questions with challenging algorithms in use. A reference sheet at the back explains what syntax and logic errors are with examples. Answers are included. File formats provided are PDF and DOC.
Note: Mistake on Extension task and Help sheet now fixed. Please download again to get the corrected version.
A laddered resource to help students find the nth term of a quadratic sequence in a visual and structured way. Resource includes teacher slides (with builds to explain the example), a worked solution and answers for the other questions. Includes a quadratic pattern challenge at the end.
A well illustrated step-by-step resource showing students how to create a 4-bit binary converter in Scratch with an explanation of the algorithm and extension activity. Key blocks to use are shown along with starter code for students to build on.
Ideal for 1 lesson (approx. 45 minutes). Extension will require longer.
Steps covered:
create backdrop
setup variables
layout stage
ask for input and initialise variables
write program for 8s column
write program for 4s column
write program for 2s and 1s column
Resource assumes students can navigate their way around Scratch and know the main functionality of it (using blocks, editing backdrops, sprites etc.).
A visual and guided worksheet to help all ability learners grasp skills required to draw prime factor trees and use them to write numbers as a product of their prime factors in index form. Includes introduction to prime factor trees, 2 examples, 2 guided questions and 2 independent questions. Answers provided.
A laddered step-by-step resource to help students find the nth term of an arithmetic sequence in a visual and structured way. Resource includes teacher slides (with builds to explain the example), a worked solution and answers for the other questions.
Help students win at pseudocode with these low stakes and student friendly starters, plenary or homework activities.
RESOURCE 1:
The pseudocode fill in the blanks activity helps students become familiar with pseudocode by having to complete 3 pseudocode programs. The activity includes use of IF statements, FOR loops and WHILE loops. Ideal for a starter, plenary or homework. Answers included. DOC and PDF file formats provided.
RESOURCE 2:
The pseudocode matching activity helps students become familiar with pseudocode by asking them to match pseudocode programs to their purposes (or explaining them if higher ability). This activity includes use of IF statements, FOR loops, WHILE loops, STRING manipulation, FUNCTIONS and ARRAYS. Lower ability students can do the matching activity and higher ability can provide the purpose rather than match. Files for both included as well as answers. DOC and PDF file formats provided.
Step-by-step examples and guided questions asking students to find the Nth term for arithmetic and quadratic sequences (as separate resources). Both resources are very visual and include questions, teacher slides and worked solutions or answers.
Guided worksheets (with examples and questions) to help students draw prime factor trees, write a number as a product of its prime factors and find LCM and HCF of two or more numbers using prime factors and Venn diagrams.
Prime factor trees resource includes introduction to prime factor trees, 2 examples, 2 guided questions and 2 independent questions. Answers provided.
LCM and HCF resource includes 1 example, 2 guided questions, 2 independent questions and 1 challenge question. Answers provided.