Here at Head Start Maths, I care about providing you with quality resources that are simple and effective to use in the classroom and at home. I have been working as a Maths Educator for over 12 years in the UK. I am very passionate about supporting students with their mathematical knowledge, and improving their confidence in maths.
Resources currently focus on:
KS2 Number
GCSE
(UK National Curriculum)
Here at Head Start Maths, I care about providing you with quality resources that are simple and effective to use in the classroom and at home. I have been working as a Maths Educator for over 12 years in the UK. I am very passionate about supporting students with their mathematical knowledge, and improving their confidence in maths.
Resources currently focus on:
KS2 Number
GCSE
(UK National Curriculum)
Revise Ordering Fractions with this revision guide.
Check out more free revision guides and exam resources in the Head Start Maths Shop
/teaching-resources/shop/HeadStartMaths
Revise Equivalent Fractions using this revision guide.
Check out more free revision guides and exam resources in the Head Start Maths Shop
/teaching-resources/shop/HeadStartMaths
Revise adding mixed numberes using this revision guide.
Check out more free revision guides and exam resources in the Head Start Maths Shop
/teaching-resources/shop/HeadStartMaths
Aim: To investigate different characteristics of books.
These investigations are designed to get students to use different skills in maths including measurement, cardinality and estimation.
Students can use the books that they have brought in for their investigation or utilise books within the classroom / library. Before handing out any book, make sure it is named so that it can be returned to the right place / owner.
Books can either stay in one place, move around the room at random, or move from group to group after a given time.
Each investigation should be carried out in pairs or threes. Remember to get students to write their names on the investigation sheets!
Each pair or three can select their own question from the Investigation Categories to investigate. The question should be clearly written at the top of their Investigation Sheet. E.g. Which book has the largest area?
Students can think of their own questions too but check whether it is suitable before they start investigating (exact word counts can be very time consuming to research!)
Each group will need:
Investigation Sheet
Conclusion Sheet (optional)
Pencil / pen
Paper to work out calculations
Calculator (optional)
Students will need between 15 and 20 minutes to collect their data.
Ensure that students work out the maths before moving on to the next book.
E.g. if the students are working out the book with the largest area, they must work out the area before investigating the next book.
Finish the investigation by writing a conclusion and sharing with the class.
Optional (due to time)
Students can then draw and colour in the book that satisfies their investigation question using the Conclusion Sheet.
Students can discuss the genre of the books they have investigated and whether certain genres have shared characteristics or put books in order given the criteria.
Pages can be copied and put into books / folders.
Head Start GCSE
Column Vectors Jigsaw
This jigsaw is designed to develop fluency with adding and subtracting column vectors.
Jigsaws are a fantastic way to demonstrate understanding and apply key skills to a wide variety of problems in an independent or collaborative way.
Each jigsaw consists of 16 square pieces that contain a combination of Questions and Answers. After cutting out each piece, they need to be placed together in a 4 × 4 grid where the Question on one piece matches the Answer on another piece. The outer edge is left blank.
Students may want to complete this as an individual task or work with a partner.
Each jigsaw spans three pages:
12 of the 16 Question cards
4 of the 16 Question cards and student friendly instructions
Solution
Teaching Tips
Each student / pair / small group of students will need:
One 16 card jigsaw (page 1 and 2);
Scissors;
Glue;
A piece of paper to stick the solution down after it is complete.
Set a timer for around 2 minutes for students to cut out the cards and put any paper in the recycling and return their scissors (this can be rewarded with house points etc).
Get students to colour in or write their initials in the square in the middle of all 16 cards so they know which cards belong to them.
Set an appropriate timer for students to complete the jigsaw. I would recommend 10-15 minutes maximum.
Working should be done separately either in a book or on a mini whiteboard.
Allow students to discuss their working with their neighbour and ask each other questions. Encourage them to share understanding, not just their answers.
Cards can get blown away easily. Use small objects (e.g. link cubes or stationery) to weigh down cards so students keep track of their solution!
If you have the opportunity to rate this resource, it would really inform me about updating / producing more! Thank you
This activity is designed to practice:
Stating integer solutions to inequalities
Writing inequalities on a number line (including bounded inequalities)
Showing solutions on a number line (including bounded inequalities)
Solving inequalities (1- 2- and multi-step working)
Reasoning with inequalities
Questions practice fluency and develop reasoning skills with some problem solving questions.
Questions do not include graphs of inequalities (resource to come).
As always, answers are provided.
This activity is designed to practice:
Writing a composite number as a product of prime factors
Working with composite numbers written in prime factorised form (index form)
Questions initially look at prime numbers and follow into prime factor decomposition using factor trees (fluency). Questions then look in more detail at the index form and calculating with numbers in index form, and recognising square numbers.
HCF and LCM are not addressed in this resource deliberately so that students spend time understanding the prime factorised form, rather than carrying out a process.
As always, answers are provided.
꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳
Complete the prime factor trees making sure that the composite and prime numbers are placed into the correct format (Squares = Composite, Circles = Primes)
The primes are colour coded per tree so, for example, 2 will appear in the red circles.
Once students have completed the woodland, they can create their own using the templates available or they can draw their own. They can create a festive woodland scene using their woodland sheets.
Students have to think about dividing by other numbers than 2, but the difficulty lies within the primes of 2, 3, 5, 7, and 11.
There are blank trees which could be used for a display too.
**Merry Christma(th)s! **
꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳ ꙳
This activity is designed to practice:
Defining, listing, and working with Factors and Multiples
These are designed to practice fluency and develop reasoning skills with factors and multiples. Other types of numbers including prime numbers and square numbers are included in the context of factors and multiples.
As always, answers are provided.
This activity is designed to practice:
Trigonometry in Right-Angled Triangles.
These are exam style problem solving questions designed to enhance understanding on right-angled trigonometry and so would be best suited for students who are already familiar with SOHCAHTOA and can demonstrate a good level of fluency with this topic.
Problems include:
Standard SOHCAHTOA
Radio mast
Proof
Rectangle
Mountain summits
Exact trig values (could use a calculator)
Isosceles triangles
Trapezium
Circle theorems
Bearings
Repeated trigonometry
Angles in polygons
As always, answers are provided.
This resource is designed to practice:
Multiplying decimals by 10 and 100.
Students can work in pairs to complete the main set, filling in the blank value.
Now with TOP TIP animations and student friendly QUESTION PROMPTS
Challenge A: Add a new layer of difficulty by grouping these challenge cards with the main set. Each card is either (number) x 1 or number x (blank) to get students to discuss how values they have found are equivalent to multiplying another number by 1. This challenge includes thousands and decimals up to 2dp.
Challenge B: Add even more difficulty by grouping these challenge cards with the main set. Each card is either (number) x 1000 or number x (blank) to get students to discuss how values they have found are equivalent to multiplying another number by 1000. This challenge includes thousandths (3dp).
Challenge C: Challenge students individually after the main set by handing them these cards. Cards still focus on x10 and x100 but with more difficult values including those with 0 place holders and decimals up to 3dp.
As always, answers are included.
This activity can be used to practice a variety of different objectives:
3C1: Add and subtract numbers mentally, including:
A three-digit number and ones
A three-digit number and tens
A tree-digit number and hundreds
3C6: Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.
4C6a: Recall Multiplication and division facts for multiplication tables up to 12 x 12.
5C1: Add and Subtract numbers mentally with increasingly large numbers.
5C6a: Multiply and divide numbers mentally drawing upon known facts.
6C6: Perform mental calculations, including with mixed operations and large numbers.
Description of Activity:
Place three piles of cards at the front on the room. The first pile contains two sets of 0-9 digit cards, the second pile contains the four operations (+×-÷), and the third pile contains one set of 0-9 digit cards. Call up three students. The first student takes one digit card at random from the pile in front of them. The second person chooses an operation from the set of 4, and the third student picks one 0-9 digit card from their pile. The rest of the class calculate the value mentally and write down their answer on a mini whiteboard. After the teacher holds up the equals button, students hold up their answers.
Lots of differentiation strategies and Hints and tips provided.
A complete set of 1-144 Multiplication Array Cards.
These can be used in lesson for a variety of topics including:
Multiplication
Division
Area (by counting squares)
Fractions of an amount
Each card is underlined so the orientation is row x column.
See also:
Head Start Maths - Place Value Cards Bundle:
/teaching-resource/head-start-maths-place-value-card-bundle-13133846
A complete set of 1-100 Base 10 Cards.
These can be used in lesson for a variety of number topics including:
Place Value
Counting and Cardinality
Number Bonds to 10 or 100
Addition and Subtraction
Includes spare number tile cards (these could be used for students to fill in, or for numbers over 100).
See also:
Head Start Maths - Place Value Charts 0-100
/teaching-resource/resource-13133775
Head Start Maths - Number Grids 0-100
/teaching-resource/resource-13133799
Head Start Maths - Number Cards 1-100
/teaching-resource/resource-13133830
Head Start Maths - Roman Numerals 1-100
/teaching-resource/resource-13133890
Head Start Maths - Number Word Cards 0-100
/teaching-resource/resource-13135134
Head Start Maths - Coin Cards 1p-100p
/teaching-resource/resource-13135153
Head Start Maths - Base 10 Cards
https://tes.com/teaching-resource/resource-13135164
Bundle:
/teaching-resource/head-start-maths-place-value-card-bundle-13133846
A complete set of 1-100 Base 10 Cards.
These can be used in lesson for a variety of number topics including:
Place Value
Counting and Cardinality
Number Bonds to 10 or 100
Addition and Subtraction
Includes spare base 10 cards (these could be used for students to fill in, or for numbers over 100).
See also:
Head Start Maths - Place Value Charts 0-100
/teaching-resource/resource-13133775
Head Start Maths - Number Grids 0-100
/teaching-resource/resource-13133799
Head Start Maths - Number Cards 1-100
/teaching-resource/resource-13133830
Head Start Maths - Roman Numerals 1-100
/teaching-resource/resource-13133890
Head Start Maths - Number Word Cards 0-100
/teaching-resource/resource-13135134
Head Start Maths - Coin Cards 1p-100p
/teaching-resource/resource-13135153
Head Start Maths - Number Tile Cards 1-100
/teaching-resource/resource-13135175
Bundle:
/teaching-resource/head-start-maths-place-value-card-bundle-13133846
A complete set of 1p-100p Coin Cards.
These can be used in lesson for a variety of number topics including:
Place Value
Counting and Cardinality
Number Bonds to 10 or 100
Addition and Subtraction
Money
Includes spare coin cards (these could be used for students to fill in, or for numbers over 100p (£1)).
See also:
Head Start Maths - Place Value Charts 0-100
/teaching-resource/resource-13133775
Head Start Maths - Number Grids 0-100
/teaching-resource/resource-13133799
Head Start Maths - Number Cards 1-100
/teaching-resource/resource-13133830
Head Start Maths - Roman Numerals 1-100
/teaching-resource/resource-13133890
Head Start Maths - Number Word Cards 0-100
/teaching-resource/resource-13135134
Head Start Maths - Number Tile Cards 1-100
/teaching-resource/resource-13135175
Bundle:
/teaching-resource/head-start-maths-place-value-card-bundle-13133846
A complete set of 0-100 Number Word Cards.
These can be used in lesson for a variety of number topics including:
Place Value
Counting and Cardinality
Number Bonds to 10 or 100
Addition and Subtraction
Includes spare number cards (these could be used for students to fill in, or for numbers over 100).
See also:
Head Start Maths - Place Value Charts 0-100
/teaching-resource/resource-13133775
Head Start Maths - Number Grids 0-100
/teaching-resource/resource-13133799
Head Start Maths - Number Cards 1-100
/teaching-resource/resource-13133830
Head Start Maths - Roman Numerals 1-100
/teaching-resource/resource-13133890
Head Start Maths - Coin Cards 1p-100p
/teaching-resource/resource-13135153
Head Start Maths - Number Tile Cards 1-100
/teaching-resource/resource-13135175
Bundle:
/teaching-resource/head-start-maths-place-value-card-bundle-13133846
Use these student friendly questions to help lead them in discussions about problems involving place value.
This resource can be used alongside the place value / number / Roman Numeral cards available in the bundle:
/teaching-resource/resource-13133846
This activity is designed to practice:
Area and Perimeter of Circles, Semicircles, Arcs and Sectors
Questions gradually increase in difficulty with some skills based, and some worded problems including:
Parts of a circle
Key formulae
Circumference of a circle
Area of a circle
Area of a semicircle
Area of a sector
Arc length of a semicircle
Perimeter of a semicircle
Perimeter of a sector
As always, all answers are provided (separate doc)