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.

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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: https://www.tes.com/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 https://www.tes.com/teaching-resource/resource-13133775 Head Start Maths - Number Grids 0-100 https://www.tes.com/teaching-resource/resource-13133799 Head Start Maths - Number Cards 1-100 https://www.tes.com/teaching-resource/resource-13133830 Head Start Maths - Roman Numerals 1-100 https://www.tes.com/teaching-resource/resource-13133890 Head Start Maths - Number Word Cards 0-100 https://www.tes.com/teaching-resource/resource-13135134 Head Start Maths - Coin Cards 1p-100p https://www.tes.com/teaching-resource/resource-13135153 Head Start Maths - Base 10 Cards https://tes.com/teaching-resource/resource-13135164 Bundle: https://www.tes.com/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 https://www.tes.com/teaching-resource/resource-13133775 Head Start Maths - Number Grids 0-100 https://www.tes.com/teaching-resource/resource-13133799 Head Start Maths - Number Cards 1-100 https://www.tes.com/teaching-resource/resource-13133830 Head Start Maths - Roman Numerals 1-100 https://www.tes.com/teaching-resource/resource-13133890 Head Start Maths - Number Word Cards 0-100 https://www.tes.com/teaching-resource/resource-13135134 Head Start Maths - Coin Cards 1p-100p https://www.tes.com/teaching-resource/resource-13135153 Head Start Maths - Number Tile Cards 1-100 https://www.tes.com/teaching-resource/resource-13135175 Bundle: https://www.tes.com/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 https://www.tes.com/teaching-resource/resource-13133775 Head Start Maths - Number Grids 0-100 https://www.tes.com/teaching-resource/resource-13133799 Head Start Maths - Number Cards 1-100 https://www.tes.com/teaching-resource/resource-13133830 Head Start Maths - Roman Numerals 1-100 https://www.tes.com/teaching-resource/resource-13133890 Head Start Maths - Number Word Cards 0-100 https://www.tes.com/teaching-resource/resource-13135134 Head Start Maths - Number Tile Cards 1-100 https://www.tes.com/teaching-resource/resource-13135175 Bundle: https://www.tes.com/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 https://www.tes.com/teaching-resource/resource-13133775 Head Start Maths - Number Grids 0-100 https://www.tes.com/teaching-resource/resource-13133799 Head Start Maths - Number Cards 1-100 https://www.tes.com/teaching-resource/resource-13133830 Head Start Maths - Roman Numerals 1-100 https://www.tes.com/teaching-resource/resource-13133890 Head Start Maths - Coin Cards 1p-100p https://www.tes.com/teaching-resource/resource-13135153 Head Start Maths - Number Tile Cards 1-100 https://www.tes.com/teaching-resource/resource-13135175 Bundle: https://www.tes.com/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: https://www.tes.com/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)

This activity is designed to practice: Expressing one quantity as a percentage of another. Questions gradually increase in difficulty with some skills based, and some worded problems including obtaining information from sets of data. As always, all answers are provided (separate doc)

A complete set of 1-100 Roman Numeral 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 Roman Numerals up to 1000). See also: Head Start Maths - Place Value Charts 0-100 https://www.tes.com/teaching-resource/resource-13133775 Head Start Maths - Number Grids 0-100 https://www.tes.com/teaching-resource/resource-13133799 Head Start Maths - Number Cards 1-100 https://www.tes.com/teaching-resource/resource-13133830 Head Start Maths - Number Word Cards 0-100 https://www.tes.com/teaching-resource/resource-13135134 Head Start Maths - Coin Cards 1p-100p https://www.tes.com/teaching-resource/resource-13135153 Head Start Maths - Number Tile Cards 1-100 https://www.tes.com/teaching-resource/resource-13135175 Bundle: https://www.tes.com/teaching-resource/head-start-maths-place-value-card-bundle-13133846

Practice key vocabulary using these 100 Sentence Stems. Each card contains : A Sentence Stem with (Number) or (Item) in brackets. An example using the Sentence Stem. A blank Sentence Stem without any (Number) or (Item) in brackets for the student to write their own sentence. Topics Include: Place Value (General) Place Value Above 10 Cardinality and Comparison Roman Numerals Occasionally options are provided for students to use, such as: ___ is more / less than ___. These cards could be laminated and grouped together and used within lessons as a manipulative. Students should be encouraged to say / write each sentence. Ideas for use: Share the cards amongst small groups of students. Students can each write their own sentences based on the examples and vocabulary highlighted in each Sentence Stem. Switch the cards between groups. Hang some examples around the room. Students can go up to a card and write their own answer in their books (this must be a complete sentence). Use other resources such as Head Start Maths - Counting and Cardinality Slideshow to provide a context to the Sentence Stems. Get students to pick a sentence stem at random and get the whole class to write the sentence stem on a mini whiteboard and then hold up their answers. Students can discuss these with each other as a whole class activity. Create a display with each Sentence Stem card. Laminate each card and place some whiteboard pens near the display board for students to fill in values. Students can use these to ask each other questions. Hand each student a card. Students ask each other questions within pairs. Once they have answered each other correctly, switch cards and ask another student in the class. If you have any more ideas on how to use these in lessons, please let me (and others) know by leaving a comment!