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Maths by Heart

Are you looking for fun and engaging maths activities for your students? You're in the right place! Explore my shop for no prep (or low prep) printable resource that make learning maths fun and accessible! There's something for all ages. Download now to teach Maths by Heart.

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Are you looking for fun and engaging maths activities for your students? You're in the right place! Explore my shop for no prep (or low prep) printable resource that make learning maths fun and accessible! There's something for all ages. Download now to teach Maths by Heart.
Multiplication Fact Fluency | 7 times table
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Multiplication Fact Fluency | 7 times table

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**Multiplication Fact Fluency | 7 times table using Key Facts ** Understanding the 7x Table using the key facts 1x7, 2x7, 5x7 and 10x7 Pdf download - Activity and Game Colour and Print-friendly Black and White versions. Instructions included. Easy prep, fun and engaging game. The resource includes: Cards Multiplication grid Game - 2 versions (colour and B&W) For those who struggle to recall times tables, it is useful to provide strategies to help them to calculate the answer efficiently. This can be done by building on the table known as key facts: 1x, 2x, 5x and 10x tables. This resource introduces the concept using cards which have counters arranged in groups of 7, repeated addition, multiplication and finally the solution. This thinking can easily be extended to find solutions outside the normal times tables e.g. 15 x 7 can be calculated using 10x7 + 5x7. When students are comfortable using the cards to support the 7x table, they can use the 5x + 2x method to complete the 7x table row of the multiplication grid. A game to reinforce the method of using key facts to calculate the 7x table is also included. The same concept can be applied using Cuisenaire® Rods. Use the black (7) rods instead of the groups of counters.
Ten-Frame and Number Line | Interactive
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Ten-Frame and Number Line | Interactive

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Addition Strategies | Ten-Frame and Number Line | Interactive Transform early maths education with my compact, Interactive Ten Frame and Number Line resource. This downloadable PDF offers an innovative and engaging way for students to build strong foundational maths skills, making learning fun, convenient, and mess-free. Photo instructions included. perfect for maths centres - easy clean-up! Product Details: ➜ Resource Type: Printable Interactive Learning Tool ➜ Pages: PDF with Ten Frame, Number Line (0-10 or 0-20), Pocket for Question Cards, Part-Part-Whole Model Diagram ➜ Printing Requirement: Print, cut, assemble, and optionally cover with sticky-backed plastic for repeated use Comprehensive Features: ➜ Interactive Ten Frame: Replace traditional counters with fold-down flaps (red or yellow) for tactile, hands-on learning. ➜ Number Line: Choose from 0-10 or 0-20 options, allowing students to grasp number relationships effectively. ➜ Question Card Pocket: Keep learning engaging with a pocket for question cards, fostering problem-solving skills. ➜ Part-Part-Whole Model: Enhance understanding with a visual diagram on the pocket for modelling maths concepts. ➜ Reusable Option: Cover the Part-Part-Whole Model and Number Line with sticky-backed plastic for use with whiteboard markers. ➜ Easy Storage: Compact and easy to store, perfect for on-the-go learning with no worries about losing counters. Versatile Learning Aid: ➜ Classroom Ready: Ideal for classroom instruction, promoting active participation and concept mastery. ➜ Homeschooling Essential: A valuable resource for homeschooling families, enabling effective at-home math learning. ➜ On-the-Go Learning: Portable and convenient, it’s an excellent tool for learning math skills on the move. 27th October, 2023 Updated font to make the numbers larger and clearer.
Halloween Multiplication Mat | Mastery
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Halloween Multiplication Mat | Mastery

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Multiplication Grid and Tables Practise Mat Halloween | All Ages | Printable Print-and-go resource. Ideal for early finishers, morning work or homework. 2 versions included: Colour and print-friendly black and white. Print back to back and laminate for repeated use. Blank multiplication grid 1x to 12x table Multiplication strategy mat on reverse: Strategies included: Show equal groups Repeated addition Show as an array Skip Counting Write the Multiplication sentence Can use beads or counters or draw.
Mastering Square Numbers inc. Factors & Primes
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Mastering Square Numbers inc. Factors & Primes

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Mastering Square Numbers: Hands-On Activities and links to Factors and Primes A no-prep resource with print-friendly black and white pages. This booklet helps students understand what square numbers are before exploring their relationship to odd numbers and prime factors. It would be a perfect project for a maths club or for anyone exploring hidden patterns in numbers. Contents: Cover (optional) Decorate to show what square numbers are. Square numbers - an introduction to square numbers Square numbers on a multiplication grid Square numbers - how odd Investigates the relationship between square and odd numbers Square number factors Square numbers have an odd number of factors Square numbers prime factors Square numbers prime factors challenge Square numbers have an even number of each prime factor Recognise square numbers Identify square numbers on a grid to create a picture Square numbers Blurt - Revise what has been learned Squared paper to cut out or draw on. Answer Key included. This booklet is designed to be a recap of work studied in lessons and is not intended as a stand alone teaching aid. However, it could be used as such with guidance. I recommend using blocks, or cut out the larger squared paper provided, to demonstrate some of the concepts discussed. Some sections may be difficult for some students. Use your discretion when printing. I’ve added a place to write their name on each sheet in case you want to use it as a stand-alone activity.
Autumn Multiplication Mat for KS2  KS3
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Autumn Multiplication Mat for KS2 KS3

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Master times tables with this Multiplication Mat - Ready to use - print and go resource. Ideal for early finishers, morning work or support maths learning at home or in lessons. Created with older students in mind. Useful for home learning too. Autumn Theme. 2 versions included: colour, black and white (print friendly) Includes: Blank multiplication grid Mat to practise strategies (listed below) Strategies included: Equal Groups: In this method, children can use drawings or small items like beads, buttons, or unit blocks to represent equal groupings. Array: An array involves arranging objects into rows and columns. This can also be represented through drawings or physical manipulatives. Repeated Addition: This strategy helps children understand that by repeatedly adding the second factor (or number), they can solve the multiplication problem. The first factor indicates how many times to perform this addition. Skip Counting: Skip counting entails counting by the second factor, where the first factor guides how many skips to make as you count. Writing the Full Multiplication Sentence: This step involves writing out the complete multiplication sentence to express the mathematical operation being performed. Download the Multiplication Mat to help your students master their multiplication facts.
All About Me: Creative Geometry of My Name
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All About Me: Creative Geometry of My Name

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Unleash the Inner Mathematician in Your Students with “Creative Geometry Activities: Explore Shapes & Angles Through Your Name”! Ditch the dull drill-and-fill! This resource transforms students’ names into captivating canvases for 9 hands-on, differentiated activities that make geometry come alive with personal flair: Geometry of My Name: Hunt for shapes, angles, and symmetry hiding within your name. Reflection of My Name:  Design mesmerising mirrored patterns inspired by your name. Coordinates of My Name: Plot your name on a grid and create playful distortions. Fractions of My Name: Dive into vowels and consonants, comparing your fraction friends. Directions of My Name: Code instructions for a robot to write your name with precision. Area of My Name: Design unique shapes within your name and calculate their area. Vocabulary of My Name: Craft a personal math dictionary using pictures and words. Polygons of My Name: Explore the world of polygons within your name, creating colorful mosaics. Fractions, Decimals, and Percentages of My Name: Uncover hidden number relationships by converting fractions, decimals, and percentages for each letter. Forget boring worksheets! This resource lets students: Embrace geometry through a personal and creative lens. Spark critical thinking and problem-solving skills. Boost creativity and self-expression with personalised learning. Transform your classroom into a vibrant hub of maths exploration. Bonus Features: Printable resources: US Letter and A4 sizes with US and UK spelling options. *** Differentiation made easy:** Adapt activities to cater to diverse learning styles and abilities. Resource section: Blank grids, fraction strips, lettering templates, and a math dictionary template empower exploration. Extension ideas & trading card activity: Keep the learning going with additional challenges and collaborative fun. Completed examples: Visual guides inspire student work and ensure clear understanding. Download your copy today and watch your students’ faces light up as they discover the magic of geometry within their own names! UPDATED: 29th December 2023 Now includes: A4 with UK Spelling & US Letter Size with US Spelling Maths Vocabulary list Maths Dictionary Template More differentiation Distorted Coordinate grids
Clipart Game boards Halloween Commercial
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Clipart Game boards Halloween Commercial

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Clipart Game Boards Template designs for Halloween Commercial use Available as Zip File to download. PNG Files. 300 dpi. Transparent backgrounds You will receive everything you will need for you or your students to create their own board game. 2 designs included - colour and outline (black outline with solid white fill). Each design includes: ➔ 4 game boards ➔ 10 number game boards ➔ 10 spinners (1 to 10 sections) ➔ dice net ➔ counters ➔ Halloween images This Download Includes: ➔ Game Boards, spinners, dice, counters, images, ten frames, number lines ➔ 2 versions : Colour and Outline (solid white fill) ➔ 300 DPI ➔ PNG Images (Transparent background- great for layering) ➔ Credit logo & Terms of use PDF ➔ ZIP File TERMS OF USE I’ve kept the terms of use as simple as possible. Clipart included in this download may be use for both ➜ Personal (To use within your classroom or personal creations) ➜ Commercial (To use in a product to sell) CREDIT No additional licences needed or minimum use in your own products (for commercial). However all that is asked is to include a reference, text, logo or link back to my TES shop for use within Commercial products. **BEFORE DOWNLOADING **This Download comes in a ZIP file so before downloading please ensure that you have the correct program to open ZIP files in order to access the Download. ENJOYING THIS COLLECTION? LEAVE A REVIEW If you’ve found value in this clipart set, I’d be immensely grateful if you could take just 2 minutes out of your day to share your thoughts. Your feedback not only aids in my growth but also serves as encouragement to keep the creativity flowing. Thank you in advance – your support means the world to me! Keep being amazing!
Mastering Prime Numbers Booklet  for KS3
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Mastering Prime Numbers Booklet for KS3

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Description Help your students understand more about prime numbers with this printable no-prep booklet full of worksheets, activities and games for independent and paired learning. Excellent for early-finishers or morning activities. Teacher instructions and solutions included. Print-friendly black and white design). This PDF Contains 16 pages (plus teacher instructions and information page) Booklet Cover What are Prime Numbers? Finding Prime Numbers Eratosthenes Prime Number Facts Prime Puzzles Prime Factor Plants Types of Number Game Solutions Students will also need: Blocks or counters. 4 dice for the game. The cover is plain to enable students to decorate it using what they have learned about prime numbers. This resource can be used as a booklet to develop an understanding of prime numbers through individual and paired activities. A space for students to write their name has been included on most sheets in case you prefer to use them as individual activities. The information on the “Eratosthenes” and the “Prime Number Facts” pages could be used as a cross-curriculum comprehension activity. e.g. students could make an information page about Eratosthenes - where he lived, what life was like at that time etc. Update: I’ve split the Finding Prime Numbers page into two pages to make it less cluttered.
Place Value! Interactive Slider & Activities
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Place Value! Interactive Slider & Activities

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Conquer Place Value: Interactive Slider & Activities (Years 4-6) This engaging resource, designed for active learners in Years 4-6, makes mastering whole and decimal numbers simple and effective. What’s inside? Interactive Place Value Slider: Slide digits to visualise changes in multiplication & division. Doubles as a handy pocket bookmark! Practice Made Easy: Question sheets fit inside the slider pocket for convenient drills on whole numbers, decimals, and metric conversions (millimetres, metres etc.). Customisable Practice: Edit included question cards (PowerPoint file) to target specific learning objectives. Handy Reference Tools: Packed with essentials like a fraction wall (to twelfths!), multiplication chart, blank 100 chart, and two number lines (0-20cm & 0-200mm). Metric Unit Connection: Understand real-world applications with clear displays of metric prefixes. Clear Instructions: Posters explain slider use, ensuring everyone can jump right in. Multiple Options: Choose colour or black & white, A4 size, and UK spelling. Benefits: Solid Place Value Foundation: Build a strong base for maths concepts like multiplication, division, fractions, and metric conversions. Decimal Mastery: Boost fluency with whole and decimal numbers. Visual & Kinesthetic Learning: Engage diverse learners and make abstract concepts concrete. Independent Practice: Question sheets and the slider foster student ownership of learning. Differentiated Instruction: Tailor activities to individual needs with editable question cards. Spark an Interest in Maths: Interactive and engaging activities make learning fun and rewarding. Ready to simplify place value in your classroom? Download this resource today and watch your students excel! Updated: 29th October 2023 ~ Changed font to make it clearer to read. ~ Added students instructions ~ Added question cards. Updated 15th January 2024 A4 (UK spelling) and US Letter size (US Spelling) now included Colour and black and white options Included more work cards Updated 17th january 2024 Now includes editable question cards
Halloween Ten Frames 0 - 10 Maths Station
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Halloween Ten Frames 0 - 10 Maths Station

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Halloween Ten Frames 0 - 10 Maths Station Classroom Decor Low-prep Halloween Ten Frames for numbers from zero to ten. 5 designs. Includes solid numbers, outline numbers to colour, dashed line numbers to trace. Includes number words. Can be used as a classroom display or as an activity for students. Laminate the cards and the children can use whiteboard markers to draw the numbers and complete the ten frame using Play Dough, paint or counters. Each set also includes a blank card. Halloween counters in 4 different designs are also included. https://www.tes.com/teaching-resource/clipart-game-boards-halloween-commercial-12901487
Crossing Tens Fun!  Addition Games & Activities (Reception & Y1)
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Crossing Tens Fun! Addition Games & Activities (Reception & Y1)

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Ace Adding with Crossing Tens! Fun Activities & Games for Reception & Year 1 (UK & US Versions!) Help your little learners skyrocket in addition with this jam-packed and engaging resource! Designed for Reception and Year 1, it cracks the crossing tens code (UK equivalent of bridging 10) using clear visuals and hands-on fun, making even tricky sums a doddle! What’s inside? Colourful & informative poster: Explains crossing tens with counting beads and number tracks (replace ten frames with UK equivalents) alongside a 0-20 number line. (Choose A4 or US Letter, colour or black & white!) Interactive activity mat: Get hands-on with learning! Making Ten recap activity: Jigsaw puzzles and worksheets to solidify number bonds to 10. Differentiated worksheet: Cater to every learning style with tiered challenges. Exciting games: Playful practice with Roll & Add, Mystery Numbers, Bingo, and more! Real-life word problems: Apply skills to everyday situations. Solutions: Ensure understanding every step of the way. Bonus resources: Printable ten frames, number tracks, and lift-the-flap counting aids for extra support. Key benefits: Master single-digit addition with confidence. Develop strong number sense and place value understanding. Learn crossing tens visually and effectively. Engage in fun and interactive activities. Differentiate instruction to meet individual needs. Boost problem-solving skills with real-world application. This resource is your one-stop shop for mastering addition in Reception and Year 1! Purchase today and watch your learners cross their way to success! UPDATES: 27th October 2023: Updated font and layout to improve clarity. Corrected typing errors. 11th January 2024 Now includes A4 and US Letter versions Both available in colour or Black & white Added making 10 activity to recap prior learning. Included word problems for extra practise.
FREE Halloween Subtraction for KS2
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FREE Halloween Subtraction for KS2

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Halloween Subtraction | printable download| for Key Stage 2 FREE No prep PDF download. Print one question sheet per student. Teacher solutions are included, although students can self-check by completing the answer to the joke correctly. Students calculate the answers to the subtraction problems. Write the letter in the grid under the same number as the solution. Some of the subtraction problems require “borrowing”. Challenge students to create their own Halloween Subtraction (blank sheet included). Create a different subtraction for each letter of the alphabet. Write a joke then make a grid for the solution. Swap them with friends.
FREE Times Tables Bracelet Activity
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FREE Times Tables Bracelet Activity

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Description This free resource provides printable templates and step-by-step photo instructions for making bracelets from yarn using step counting, a fun and engaging activity for students in grades 1 to 7. In-depth Description Designed as a printable resource, this product offers teachers and students a creative and independent activity to practice step-counting skills. The templates and photo instructions included make it easy for students to create unique bracelets while reinforcing their knowledge of multiplication and times tables. With its versatility, this resource can be implemented as an early finisher activity, morning work, or even as a fun math center. Benefits Engages students in a fun and hands-on activity Reinforces step-counting skills Integrates multiplication and times tables Promotes creativity and fine motor skills Can be used as independent work or a math centre activity Instructions/Tips for Implementation To implement this activity in the classroom, simply print out the provided templates and distribute them to the students along with yarn. Display the step-by-step photo instructions on a projector or in a designated corner of the classroom so that students can refer to them as they create their bracelets. Encourage students to count the steps and practice their multiplication skills as they string the yarn. This activity can be done individually or in pairs, allowing for flexibility and collaboration.
Multiplication & Strategies Mat | Winter
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Multiplication & Strategies Mat | Winter

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Blank Multiplication Chart and Strategies Mat | Winter design | Printable Practice and reinforce multiplication skills with this printable no-prep activity! This winter-themed blank multiplication chart allows students to complete and master their times tables up to 12. The reverse side includes five different strategies for representing multiplication facts. Strategies included: Show equal groups Repeated addition Show as an array Skip Counting Write the Multiplication sentence Can use beads or counters or draw. Perfect for independent practice, early finishers, morning work, or math stations. In-depth Description: This printable activity is a versatile and engaging resource for students to practice and reinforce their multiplication skills. The front side features a blank multiplication chart for students to complete, providing ample opportunity to practice their times tables up to 12. The reverse side includes space for students to represent specific multiplication facts in five different ways: writing the multiplication sentence, showing as equal groups, repeated addition, showing as an array, and skip counting. This multi-modal approach deepens students’ understanding of multiplication and encourages them to think flexibly about the concept. The resource includes both a colour and black and white version, both of which feature a fun and cute winter design with my own adorable clipart images of penguins, snowmen, snowflakes, and mugs of hot chocolate. The completed example gives students a clear understanding of how to complete the chart and represent multiplication facts using the different strategies. Benefits: Allows students to practice and master their multiplication facts up to 12 Provides multiple strategies for representing multiplication facts, promoting deeper understanding Engaging and visually appealing winter-themed design Suitable for independent work, early finishers, morning work, or math stations Instructions/Tips: Print and laminate the multiplication chart for durability. Provide each student with a copy of the chart and a dry erase marker for repeated use. Introduce and model the different strategies for representing multiplication facts. Encourage students to use the completed example as a reference and guide. Incorporate this resource into independent practice, as part of a math station, or as morning work for consistent multiplication practice.
Odd and Even Numbers Worksheets & Activities
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Odd and Even Numbers Worksheets & Activities

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Odd and Even Numbers Worksheets: Fun Learning Activities Introducing my Odd and Even Numbers Booklet – the perfect resource for students to master the rules of odd and even numbers in a fun and engaging way. Its simple print-friendly design makes it suitable for older students who struggle to grasp mathematical concepts. No-prep resource. Each page has a section to write the students name at the top so it can be used as individual worksheets or as a booklet. Perfect for morning activities, early finishers or sub work. Key Features: Engaging hands-on activities including: Understanding Odd and Even Numbers Adding and Subtracting Odd and Even Numbers Multiplying and Dividing Odd and Even Numbers Design Your Own Poster Always Sometimes Never Challenges Be the Teacher: Spot the Mistakes Colour the Mystery Image Puzzle Why Choose My Booklet: ➜ Designed with older students in mind, it offers a mature and visually appealing layout. ➜ Provides a comprehensive review of fundamental math concepts, supporting advanced addition strategies. ➜ Fosters critical thinking and problem-solving skills through intriguing challenges. ➜ Enhances mathematical proficiency while making learning enjoyable.
FREE Times Table Art Activity Agamograph
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FREE Times Table Art Activity Agamograph

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FREE Times Table Art Activity Agamograph Templates for Multiplication 2 to 12 FREE Art activity to practice multiplication tables 2 to 12. No prep printable download in print friendly design. Only one page needed per times table, per student. Draw two pictures, cut them into strips as instructed then glue them on template B, matching the corresponding times table answer. Excellent morning activity.
Christmas Maths Circles Activities KS3 Geometry
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Christmas Maths Circles Activities KS3 Geometry

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Get your students into the holiday spirit while practicing key maths skills with my differentiated no-prep Christmas Maths Circles Activities. This printable resource includes engaging worksheets and activities that focus on circumference and area of a circle formulae, labelling parts of a circle, using chords to create parabolas, and completing pictures using symmetry. Perfect for KS3, these activities can be utilised independently or as a fun classroom art project. In-depth Description My Christmas Maths Circles Activities is a printable resource designed to help Key Stage 3 students practice their circle vocabulary and formulae in a festive and creative way. The resource includes a variety of worksheets and activities that focus on key concepts such as circumference and area of a circle, labelling parts of a circle, using chords to create parabolas, and completing pictures using symmetry. This resource can be used as independent work for students or as a whole class art activity. Students will enjoy decorating baubles while reinforcing their maths skills. The completed artwork can also be used to create a festive classroom display during the holiday season. Benefits Reinforce circle vocabulary and formulae through engaging art and craft activities Integrate maths practice into the holiday season Foster creativity and fine motor skills through decorating baubles Provides opportunities for independent work and collaborative learning Instructions/Tips for Implementation Print out the worksheets and activities from this resource. Some activities are differentiated so check which you need first. Introduce the different concepts to the students, such as circumference and area of a circle, labelling parts of a circle, using chords to create parabolas, and symmetry. Allow students to work independently or in small groups to complete the activities and decorate the baubles. Once completed, showcase the students’ artwork by creating a classroom display.
Growing Bundle | Times Table Games, Activities and Worksheet Booklets
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Growing Bundle | Times Table Games, Activities and Worksheet Booklets

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GROWING BUNDLE of Times Table Games, Activities and Worksheet Booklets | Printable Downloads These engaging printable booklets are designed to help Key Stage 2 and 3 students practice their multiplication and division skills through stimulating worksheets and exciting games. A perfect no-prep, print-friendly resource - ideal for morning work or cover work. In-depth Description Are your students struggling with their times tables? Look no further! This comprehensive printable booklets are a valuable resource for teachers and home school parents alike. It provides a variety of worksheets and games to help students understand and practice multiplying and dividing by 2 to 8 (9 to 12 will be coming soo) in an enjoyable and interactive way. Benefits Offers fun and engaging activities to reinforce the concept of multiplying and dividing Includes a range of worksheets to cater to different learning needs and styles Facilitates independent practice for students Promotes critical thinking and problem-solving skills Can be used as a formative assessment tool to track student progress Instructions/Tips for Implementation To implement this resource in your classroom, simply print out the booklets and distribute them to your students. They can work through the worksheets at their own pace or play the included pair games with a classmate. Encourage students to use manipulatives or visual aids to support their understanding of multiplication and division.
Divisibility Rules Classroom Display Posters
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Divisibility Rules Classroom Display Posters

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Dive into divisibility with these captivating posters and unlock their secrets! Perfect for grades 2-5, these vibrant resources make mastering divisibility rules for numbers 2-10 a breeze. Benefits: Spark interactive learning: Use them for games, activities, and discussions to solidify understanding. Boost visual memory: Eye-catching designs help students internalize the rules naturally. Enhance classroom décor: Create a vibrant and informative math learning environment. Each poster features: Eye-catching visuals: Bold graphics and clear layouts grab attention and keep students engaged. Easy-to-understand explanations: Simple and concise rules make learning effortless, even for struggling learners. Download includes: colourful divisibility rule posters (Numbers 2-10) black and white divisibility rule posters (Numbers 2-10) Available in two sizes: US Letter A4 Teachers love this resource because: It saves them time: Ready-to-use posters eliminate prep work. It’s student-friendly: Engaging visuals and explanations make learning fun. It’s versatile: Use for individual reference, bulletin boards, or interactive activities - students could decorate the black & white version, Help your students conquer divisibility and boost their maths confidence! Download today!
Ratios Booklet using Bar modelling
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Ratios Booklet using Bar modelling

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A comprehensive workbook for teaching and reinforcing ratio concepts using bar modeling. Perfect for Key Stage 3 students, this print-friendly workbook includes detailed solutions and is available in both UK and US spelling (zip folder with UK pdf and US pdf - both versions are A4 so please adjust printer settings if using US letter). This Ratio Workbook is designed to help students develop a solid understanding of ratio concepts through the use of bar modelling. It is suitable for Key Stage 3students and comes in two versions: one with UK spelling and another with US spelling. The workbook covers a range of topics including what bar modelling is, using bar models, sharing in a given ratio, equivalent ratios, simplifying ratios, comparing ratios, and the unit method. The workbook is presented in a print-friendly black and white format and includes detailed solutions for easy reference. Benefits Reinforces understanding of working with ratios Engages students through the use of bar modeling Offers two versions with UK and US spelling options Includes detailed solutions for easy reference Print-friendly black and white format Instructions/Tips for Implementation This Ratio Workbook is designed to be used independently by Key Stage 3 students. It can be utilized as practice or reinforcement during class time or as homework assignments. Each section of the workbook includes a clear explanation of the topic, followed by a variety of practice exercises. Students can work through the workbook at their own pace, with teachers providing support and assistance as needed. The detailed solutions provided at the end of the workbook allow for easy self-checking and immediate feedback. Contents: What is bar modelling? Using bar models What are ratios? Sharing in a given ratio Sharing in a given ration: comparison model Equivalent ratios Simplifying ratios Comparing ratios The unit method Ratio Recap Solutions