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CalfordMath

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I love to innovate creative ways to make math fun! I love thinking of new approaches to teach a familiar concept. I'm an avid hobby vb.net programmer, and use my coding skills to create teaching worksheets and software designed around my own students’ needs. My most popular product line is my Collaborative Math Mosaic series. Topics range from middle school to advanced functions! Teachers and students alike love these!

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I love to innovate creative ways to make math fun! I love thinking of new approaches to teach a familiar concept. I'm an avid hobby vb.net programmer, and use my coding skills to create teaching worksheets and software designed around my own students’ needs. My most popular product line is my Collaborative Math Mosaic series. Topics range from middle school to advanced functions! Teachers and students alike love these!
Angle Tangle Spiderweb - Solving for angles with SohCahToa
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Angle Tangle Spiderweb - Solving for angles with SohCahToa

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A triggy web of SohCahToa fun! Students must use sine, cosine, and tangent ratios to determine unknown acute angle measures. Each angle’s letter corresponds to an answer below, helping to solve the riddle, “What did one spider say to another?” INCLUDED: -> PDF (.pdf) -> Colourful handout with instructions -> Answer key / Solution This activity is a good compliment to my Trig Treasure Map (which focuses on calculating side lengths), building the core skill of selecting and using the appropriate trig ratio. This prepares students for the next step of applying this knowledge to real life applications. It’s perfect for Grade 10 Academic or Applied students (Ontario curriculum: MPM2D, MFM2P) This is more fun than a straight boring worksheet… it has corny joke! The triangles are set up to ensure all three trig ratios are required, but in some cases, basic interior angle properties could be employed as well. The final “!”-labelled angle requires some careful thought… Enjoy! ~ CalfordMath CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Colouring by Pythagorean Theorem, Malala Yousafzai (30 Worksheet Math Mosaic)
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Colouring by Pythagorean Theorem, Malala Yousafzai (30 Worksheet Math Mosaic)

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Collaborative motivation meets individual accountability in a highly engaging task involving Pythagorean Word Problems and Applications. Math + colouring + social justice = something you've never seen before! Each student's worksheet is different! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) What a great way to celebrate Women's History Month! **Curriculum Connection** CCSS.Math.Content.8.G.B.7 (Grade 8 Geometry) Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. CCSS.Math.Content.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. (The Malala mosaic is also available in Volume and Surface Area version.) It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! Students complete the problems to decode the colour-by-number key, then colour their section of the mosaic. INCLUDED: (.pdf ) -Class set of 30 worksheets that combine to create the Malala mosaic -Each sheet contains 12 word problems and applications of the Pythagorean Theorem. -A Teaching Tips page, for smooth implementation -An answer-range key for quick student assessment at a glance. (i.e. "Blue always has an answer between 120 and 160") -A coloured coordinate-labelled image of the mosaic to help you assemble the completed picture. High school kids like colouring too! Their curiosity and desire to see the big picture come together will keep them working and helping each other! All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and stick to one type of colouring medium. Maybe a class set of pencil crayons would be a fun departmental purchase? :) I'd love to hear from you! Let me know how this went in your classroom! (calfordmath@live.ca)
Geometry Jeopardy Power Point
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Geometry Jeopardy Power Point

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Have fun reviewing the key concepts of plane geometry through this fully functional Jeopardy-style PowerPoint! Everything is hyper-linked for easy navigation. This works very well with an interactive whiteboard! Students can play in teams / rows, or work through the game individually in a computer lab. Jeopardy topics are: • Basic Angle Properties (parallel and transversal lines) • Triangles (interior & exterior angle sums, isosceles angles) • Polygons (interior & exterior angle sums, regular polygons) • Prove or Disprove (explain or give a counter example) • Midpoints and Diagonals (quadrilateral diagonal properties and midpoint-joining line segment properties) A preview file is included, giving a complete PDF printout of the slides (questions and answers) The file is modifiable, so you can change up the questions to suit your class.
Colouring by Volume and Surface Area, Malala Yousafzai (30 Worksheet Math Mosaic)
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Colouring by Volume and Surface Area, Malala Yousafzai (30 Worksheet Math Mosaic)

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Collaborative motivation meets individual accountability in a highly engaging task involving surface area and volume real-life word problems. Math + colouring + social justice = something you've never seen before! Each student's worksheet is different! Each worksheet represents a small section of the big picture! This task makes a terrific unit summative assessment. What a great way to celebrate Women's History Month! (The Malala mosaic also comes in a Pythagorean Theorem version) Students complete the problems to decode the colour-by-number key, then colour their section of the mosaic. INCLUDED: (.pdf ) -Class set of 30 worksheets that combine to create the Malala mosaic -Each sheet contains 12 word problems where students solve for Volume and Surface Area of Rectangular Prisms & Pyramids, Cones and Cylinders -A Teaching Tips page, for smooth implementation -An answer-range key for quick student assessment at a glance. (i.e. "Blue always has an answer between 120 and 160") -A coloured coordinate-labelled image of the mosaic to help you assemble the completed picture. -A "Problem Order" list, giving the order of problem types on the worksheets. Here are a few Sample Problems (since the preview doesn't show them): -->The attic of an old house is in the shape of a rectangular pyramid with base dimensions of 4.2 by 16.7 m, with apex height 20.9 m. Find the volume of air in the attic. -->The top of Clarence and Ophelia's sandcastle is shaped like a cone, with a diameter of 7.4 in., and a height of 12 in. What volume of sand did they need to make the castle top? -->An upside-down pylon at Ian's construction site is conical with a circumference of 42.4 mi. and height 8.8 mi. How much rain water can it collect? -->A container of diaper cream for Shendrita's little brother is cylindrical with a circumference of 30.9 km and height 1.5 km. What volume of cream fits in the container? All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and stick to one type of colouring medium. Maybe a class set of pencil crayons would be a fun departmental purchase? :) Enjoy! (calfordmath@live.ca)
Colouring by Quadratics - Einstein (25 Worksheet Collaborative Math Mosaic)
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Colouring by Quadratics - Einstein (25 Worksheet Collaborative Math Mosaic)

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Harness the motivating power of collaboration while maintaining individual accountability! Every students worksheet is different, yet similar in the type of problems asked. When students answer all the math problems, they use their answers to colour-by-number their small section of the larger mosaic! It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! INCLUDED: ◾ Everything comes in both .docx and .pdf format ◾ full class set 25 worksheets, every sheet unique! The worksheets combine to create the Einstein mosaic ◾ Complete answer key, giving the answers for all worksheets (easy assessment!) ◾ Teaching Tips page for smooth implementation in your class ◾ Coloured mosaic guide for easy assembly ◾ Scrambled answers list at the bottom of each student's worksheet, allowing for self assessment. ◾ "Order of Problems" sequence that each worksheet follows This makes a great unit summative task! . Here's the list of the order of questions each worksheet contains: (Check out the product preview to see sample worksheets and know exactly what this task involves!) Problem Order: 1) determine the axis of symmetry 2) x or y coord. of vertex, any method 3) y-intercept from vertex form 4) solve - simple factorable, with common factor 5) solve for ‘a’ given vertex & point 6) solve - simple factorable 7) quadratic trajectory word problem 8) x or y coord. of vertex, by completing the square 9) solve - complex factorable 10) solve - quadratic formula, exact roots 11) solve - quadratic formula, decimal roots 12) solve - quadratic formula, exact roots The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! High school students love colouring too! Leave the picture a secret or show it for motivation… it’s your call. Encourage students to check all their answers by finding them in the scrambled list at the bottom of their worksheet before they colour. This will increase the accuracy of the final picture! All my collaborative math mosaics use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match, colour darkly, and stick to one colouring medium (i.e. don't mix crayons with markers with pencil crayons...). Perhaps a class set of pencil crayons would be a fun math department investment! Enjoy! ~CalfordMath
Choosing the Correct Trig Tool - "Whose Law is it Anyways?"
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Choosing the Correct Trig Tool - "Whose Law is it Anyways?"

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This gameshow style activity provides great practice for students to recognize the criteria necessitating each trigonometry tool (right and oblique). Students are shown a triangle with some sides and angles given, and they must either: 1) Decide what the most appropriate trig tool would be to determine the unknown (side or angle), or conclude that there is not enough information given to solve it. Or, 2) Decide which trig tool could NOT be used to solve the triangle. (This type of problem really builds a deeper understanding) Embedded in the Smart Notebook file is a link to the Kahoot! version that you can play with your class too! (They all log on with their own cellular devices and receive immediate feedback, complete with a leaderboard and bonus points for correct-streaks and quick responses... it's really quite an exciting way to review!) This activity includes the Pythagorean Theorem, Soh Cah Toa (trig ratios), Sine Law, and the Cosine Law. I designed this for my MPM2D (Grade 10 academic math) class, but it would work well with grade 11 College (MCF3M) or even a quick Grade 11 University (MCR3U) review. It does include oblique (non-right) trig, so be warned if you're thinking of using it for grade 10 applied (MFM2P). This gameshow style activity works great with write-and-wipe mini whiteboards, or you could make up little signs with the various trig tools printed for students to hold up. Or better yet, get them to use those cell phone for academic purposes and play the Kahoot! version. Enjoy! ~CalfordMath
Equation Clocks - Rich Assessment Task
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Equation Clocks - Rich Assessment Task

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In this FUN task, students create an algebra clock where equations are used instead of numbers for each hour. Students can keep their clock, or give it as a gift! INCLUDED: • pdf and Word (.docx) format so you can edit or tweak as you wish. • Lesson Plan • Smart Notebook file to accompany the lesson from beginning to end. (Minds On intro, Examples, rubric template to co-construct criteria with students) • Student Handout with instructions, examples, answer template to complete and hand in. (The student can keep the actual clock... you just need the work!) • Detailed Rubric with criteria for 4 levels • Exemplar Clock Pictures - level 3 and 4 clocks to help students construct success criteria Their knowledge of solving equations, simple and multi-step, through applying opposite operations is solidified and thoroughly tested as they work backwards and forwards to create and check their equations. I found some great $3 clocks at a dollar store! Just make sure you are able to take them apart and reassemble them with a new background face inserted. I hope you enjoy this activity with your grade 8 or 9 class as much as I did with mine! Thanks, CalfordMath Learning Goals: • Apply inverse (or opposite) operations to an equality (equation) to isolate the variable. • Simplify algebraic expressions (distribute, collect like terms, clear fractions by LCD or cross multiplying, etc.) • Understand what it means for a value to be the solution to an equation (i.e. satisfy the equation.) Common Core State Standards: - CCSS.MATH.CONTENT.8.EE.C.7.B Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. - CCSS.MATH.CONTENT.HSA.CED.A.1 Create equations and inequalities in one variable... - CCSS.MATH.CONTENT.HSA.REI.A.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. (Ontario, Canada) Grade 9 Academic, MPM1D.NA2 - Manipulate numerical and polynomial expressions, and solve first-degree equations. -NA2.1 simplify numerical expressions involving integers and rational numbers, with and without the use of technology -NA2.3 relate their understanding of inverse operations to squaring and taking the square root, and apply inverse operations to simplify expressions and solve equations -NA2.7 solve first-degree equations, including equations with fractional coefficients, using a variety of tools and strategies.
Colouring by Function Notation with Linear Inverses, Football (36 Sheet Mosaic)
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Colouring by Function Notation with Linear Inverses, Football (36 Sheet Mosaic)

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Colouring + Polynomials = Awesomeness. This includes a complete class set of 36 worksheets / colouring pages that combine to create the football player mosaic. Every single worksheet is different, so you can count on hearing great math dialog between your students. Assessment is easy using the full answer key AND complete solution manual. You can make this available to students to self-assess their work (using the task for review or practice), or keep it for your own assessment purposes if you're markin' for keeps. Common Core Standards: HSF-IF.A.2, HSF-BF.B.4 MATH INVOLVED: ◾Students evaluate polynomial functions for inputs in their domains ◾Each problem gives a set of 1 to 3 functions like this: {h(x)= -5x-3, m(x)= 5x²+22x-1, j(x)= -3x²-5x} And are asked to evaluate something like this: h^-1(-5) + m(-3) - j(1) ◾Inverse functions are used in linear cases randomly about 40% of the time ◾Students gain practice with exponent and integer laws (yes senior students still make those mistakes!) and general order of operation skills when simplifying a multi-step expression. I'd love to hear your feedback and your students' response to this task. These tasks ensure individual accountability (since every worksheet is different) while harnessing collaborative motivation (since every worksheet is needed for the mosaic). The end result will look spectacular hanging up in your classroom, and your students will be proud! It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! INCLUDED: ◾ .pdf and .docx versions of everything ◾ Complete 36-sheet class set of worksheets ◾ Teaching Tips page, for smooth implementation :) ◾ Complete answer keys for all worksheets ◾ Complete Solution Key showing steps taken to reach each answer ◾ 'Colour-Range' answer key for quick at-a-glance assessment. e.g. Blue [0, 2), Red [-4, -2) ... ◾ Every worksheets contains its answers randomized at the bottom, helping the student self-assess his/her work The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! Leave the picture a secret or show it for motivation… it’s your call. All my “Colouring by…” worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment! ~CalfordMath
Colouring by Annuities - Obama, solve for PV, FV, & Interest (30 sheet mosaic)
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Colouring by Annuities - Obama, solve for PV, FV, & Interest (30 sheet mosaic)

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Highly Engaging!! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) INVOLVED: Each worksheet has 3 questions each of: • Find future value • Find present value • Determine total interest earned • Determine total interest paid It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! Students complete the problems to decode the colour key, then use it to colour their section of Obama mosaic. High school kids like colouring too! Their curiosity and desire to see the big picture come together will keep them working and helping each other! INCLUDED (.pdf and .docx files): ->Complete class set of 30 worksheets, that combine to create the Obama mosaic. Sheets contain the answers scrambled so students can monitor their own understanding. ->Complete answer keys all worksheets. -> Colour solution and coordinate guide for the mosaic. ->Each worksheet contains 12 problems. Ontario Curriculum: This is great for MAP4C, or MCR3U. All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match. Maybe a class set of pencil crayons would be a fun departmental purchase? :) I'd love to hear from you! Leave some feedback through Tes about how this went in your classroom, or email me at calfordmath@live.ca
Colouring by Trigonometry, Pumpkin Pi (3 Version Bundle) 25-Sheet Math Mosaic
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Colouring by Trigonometry, Pumpkin Pi (3 Version Bundle) 25-Sheet Math Mosaic

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A highly engaging task combining individual accountability with collaborative motivation! 3 versions are included! Colouring meets Trigonometry in this class-wide math mosaic that will look spectacular hanging up in your classroom :) Each worksheet represents a small section of the big picture! The Pumpkin Pi mosaic is also available in the following versions: ◾ Linear Equations 4-Version Bundle Including 1-step, 2-step, multi-step, and proportions versions ◾ Linear Systems, and Exponent Laws (4 Version Bundle) Including linear systems (equations), linear systems (word problems), exponent laws (just positive exponents), and exponent laws (including negative exponents) versions SINE & COSINE LAW VERSION INVOLVES: ◾6 solving for side problems ◾6 solving for angle problems SOH CAH TOH VERSION INVOLVES: ◾A random assortment of each trig ratio (sin, cos, or tan) involved ◾7 solving for side problems ◾ 5 solving for angle problems PYTHAGOREAN THEOREM INVOLVES: ◾12 randomly assorted word problems solving for the hypotenuse or a leg of a right triangle INCLUDED (.pdf and .docx of everything): ◾ Three class sets of 25 worksheets (all different!) that combine to create the Pumpkin Pi mosaic! ◾ Complete Answer Key giving the numeric solution to all problems on every worksheet ◾ A coloured picture of the mosaic with coordinates for easy assembly guidance ◾ All worksheets contain a randomized answer list at the bottom, allowing students to self assess their understanding ◾An answer-range key, giving the numeric range all answers for a particular colour fall into. i.e. red --> [12, 16) ◾ A Teaching Tips page to help you implement this task smoothly The student buy-in factor is HUGE with these worksheets Encourage students to check their answers by finding them in the randomized list on their worksheet before they colour each square. This will increase the accuracy of the final picture! All my “Colouring by…” worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match, and stick with the same colouring medium (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment! Feedback, suggestions, and frontline stories are always welcomed! Thanks for checking this out!
Colouring by Linear Systems & by Exponent Laws, Pumpkin Pi Bundle (4 versions)
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Colouring by Linear Systems & by Exponent Laws, Pumpkin Pi Bundle (4 versions)

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A highly engaging task in 4 versions!, packed with the motivation of a mystery picture and collaborative goal! Students solve the math problems to decode their colour-key, then use it to colour their section of the larger 25-section mosaic. The image comes together as each of the students do their part! Individual accountability is achieved since every single students’ problem set is different! (Encouraging collaboration without the chance to blindly copy) FOUR VERSIONS ARE INCLUDED in this bundle: •Exponent laws (just positive exponents) •Exponent Laws (negative exponents included) Both exponent law versions have integer exponents. Students apply the product, quotient, and power rules to simplify each expression. •Linear Systems (Use substitution, elimination, graphing, etc. to find the point of intersection given two equations.) •Linear System Applications (Life application word problems covering a variety of contexts!) SO MUCH IS INCLUDED! • .pdf and .docx versions of everything • Full class sets of 25 worksheets/colouring pages for all 4 versions • All students' worksheets contain a randomized list of the answers at the bottom, encouraging self-assessment • Exponent law version student worksheets contains helpful formulas, summarizing the exponent laws • COMPLETE ANSWER KEY • A detailed Sample Answers file, giving exemplar solutions to every type of linear systems word problem. Post this in the classroom, or use them for examples when giving a note. • Teaching Tips page, to ensure smooth implementation of this task • Mosaic guide, showing the completed coloured picture with coordinates for easy mosaic assembly The Pumpkin Pi mosaic is also available as: ◾ Colouring by Trigonometry 3-Version Bundle: ◾ Linear Equations 4-Version Bundle: MATH INVOLVED • Simplify products and quotients of powers • Simplify expressions involving the power of a power • All bases and exponents are integers • Choose appropriate strategies to solve linear systems algebraically • Model real-life situations with algebraic equations • Recognize and solve linear systems in a real-life context All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and stick to one type of colouring medium. Thanks for checking this out!
Colouring by Linear Equations, Pumpkin Pi (4 Version Bundle) 25 Sheet Mosaic
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Colouring by Linear Equations, Pumpkin Pi (4 Version Bundle) 25 Sheet Mosaic

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Highly Engaging!! Each worksheet represents a small section of the big picture! This task ensures individual accountability (every worksheet is different) while harnessing collaborative motivation (Every worksheet is needed for the mosaic). The end result will look spectacular hanging up in your classroom, and your students will be proud! 4 VERSIONS INCLUDED! (.pdf and .docx) All versions consist of 25 unique worksheets: ◾ One-Step Equations (+,-,×, or ÷) ◾ Two-Step Equations (+ or -, then × or ÷) ◾ Multi-Step Equations (distributing, collect like terms, cross multiplying) ◾ Proportions (within or across multiplication patterns, and cross-multiplying) The Pumpkin Pi mosaic is also available in the following versions ◾ Colouring by Trigonometry 3-Version Bundle,: Including SohCahToa, Sine and Cosine Laws, and Pythagorean Theorem versions. ◾ Linear Systems & by Exponent Laws 4 version bundle Including linear systems (equations), linear systems (word problems), exponent laws (just positive exponents), and exponent laws (including negative exponents) versions ◾ Complete Answer Keys provided ◾Teaching Tips page for smooth implementation ◾Answer-Range Key for at-a-glance assessment. i.e. red --> [10, 16) ◾Coloured picture of the mosaic with coordinates for easy assembly guidance ◾All worksheets have a scrambled answer page at the bottom allowing for student self-assessment The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! High school students love colouring too! This sure beats textbook homework! Leave the picture a secret or show it for motivation… it’s your call. Encourage students to check their answers by finding them in the randomized list on their worksheet before they colour each square. This will increase the accuracy of the final picture! All my Colouring Math Mosaics use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment! Feedback, suggestions, and frontline stories are always welcomed! Thanks for checking this out! Enjoy the Autumn time! ~CalfordMath
Trig Turkey - Collaborative Math Mosaic (16 worksheet set, 2 versions)
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Trig Turkey - Collaborative Math Mosaic (16 worksheet set, 2 versions)

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Your students will gobble up this engaging activity! The mosaic consists of 16 worksheets (each one unique!) involving sin, cos, and tan ratios for missing sides and angles. Students' sheets combine to create the turkey mosaic. Two versions are included, one with simplified colours to accommodate basic sets of pencil crayons etc. (The more colourful version still sticks to colours found in the Crayola 24-pack of coloured pencils.) The collaborative motivation is huge! The answers are given in a randomized list at the bottom of each sheet, allowing students to monitor their own work. Complete answer keys are provided for you, as well as a Teaching Tips page for smooth implementation! This product comes in both .pdf and .docx format. All files are included in the zip folder. Students solve the trig problems, then use the answers to colour their worksheets based on the colour key. It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! Both a visual answer key, showing the completed mosaic with labelled coordinates (to help you assemble the picture from the combined worksheets), and a numeric answer key for each individual worksheet are provided. Leave the final image a secret, or let them know in advance for motivation… it’s your call! Encourage students to check their answers by finding them in the randomized list on their worksheet before they colour each square. This will increase the accuracy of the final picture! All my “Colouring by…” worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment! Feedback, suggestions, and frontline stories are always welcomed! COMMON CORE MATH STANDARDS: ◾ HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Thanks for checking this out! ~Calfordmath
Colouring by Quadratics - Factorable Holiday Fun, 5 Small-Group Versions
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Colouring by Quadratics - Factorable Holiday Fun, 5 Small-Group Versions

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A highly engaging task that combines collaborative motivation with individual accountability. Students solve factorable quadratic equations to decode the colour-by-number answer key. There are 5 different holiday mosaics, made up of 4 worksheets each. Students complete their own sheet, then cut and combine with their group members. Each student's worksheet represents a quarter of the larger picture. Leave the pictures a surprise :) It's easy: 1) Calculate 2) Colour 3) Cut 4) Combine! INCLUDED: - .pdf and .docx files for everything - 5 different 4-student math mosaics - Each student's worksheet has 12 factorable quadratic trinomial equations, including cases involving a common factor first - Answer Range key, to assess their work at a glance. If you want to try a WHOLE CLASS collaborative holiday math mosaic, check out "The Grinch", available in Linear Equations, Acute Trigonometry, and Linear Systems Versions! Or Cindy Lou Who in a 6 version linear equations bundle! Merry Christmas, ~CalfordMath
Colouring by Annuities - Lazy Giraffe, PV, FV & Interest (16, 20 & 25 versions)
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Colouring by Annuities - Lazy Giraffe, PV, FV & Interest (16, 20 & 25 versions)

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Highly Engaging!! Combine individual accountability with collaborative motivation. Includes 3 class-size versions (16, 20 or 25 sheet mosaics.) Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) INVOLVED: Each worksheet has 3 questions each of: • Find future value • Find present value • Determine total interest earned • Determine total interest paid It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! Students complete the problems to decode the colour key, then use it to colour their section of giraffe mosaic. The giraffe mosaic is also available in a Pythagorean Theorem version , involving word problems to solve for a leg or hypotenuse of right triangles. High school kids like colouring too! Their curiosity and desire to see the big picture come together will keep them working and helping each other! INCLUDED (.pdf and .docx files of everything): ->Complete class sets of 16, 20, and 25 worksheets, that each combine to create a giraffe mosaic. Sheets contain the answers scrambled so students can monitor their own understanding. ->The answer-range key for the colour code, for quick assessment at a glance. -> Colour solution and coordinate guide for the mosaic. ->Each worksheet contains 12 problems. Ontario Curriculum: This is great for MAP4C, or MCR3U. All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and use a consistent colouring medium (pencil crayon, crayon, etc.). Maybe a class set of pencil crayons would be a fun department purchase? :) I'd love to hear from you! Leave some feedback about how this went in your classroom! ~ CalfordMath
Colouring by Pythagorean Theorem - Applications (16 and 25 worksheet versions)
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Colouring by Pythagorean Theorem - Applications (16 and 25 worksheet versions)

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Highly Engaging! My students volunteer to complete extra sheets! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) The Lazy Giraffe mosaic is also available in an Annuities version, where students solve problems involving present and future value, and interest earned and paid. Students use the Pythagorean Theorem to solve various problems involving right triangles, then use the answers to colour their worksheets based on the colour key. This is so much cooler than textbook homework! It's Simple: 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! INCLUDED (.pdf and .docx files in zip folder): --> Full class set of 25 and 16 worksheets (all different!) that combine to create the Lazy Giraffe mosaic. -->Worksheets involve a range problems that involve solving for the hypotenuse or a leg of the triangle. --> Master Answer Key showing the colour and numeric answer range for each colour for all worksheet problems. Teaching Tip: Have students draw a right triangle and label the given information as they read each problem. The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! High school students love colouring too! Leave the picture a secret or show it for motivation… it’s your call. Encourage students to check their answers by finding them in the randomized list on their worksheet before they colour each square. This will increase the accuracy of the final picture! All my “Colouring by…” worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match (and encourage quality colouring!). Perhaps a class set of pencil crayons would be a fun math department investment! I’d love and appreciate any feedback, suggestions, and frontline stories you can share!! Thanks for checking this out! ~CalfordMath
Colouring by Volume, Olympic Theme (Prisms, Pyramids, Cylinders, Cones, Spheres)
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Colouring by Volume, Olympic Theme (Prisms, Pyramids, Cylinders, Cones, Spheres)

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Highly engaging! 2 Olympic Mosaics Included! Each student's worksheet is different, ensuring individual accountability. Each worksheet represents a small section of the big picture, providing collaborative motivation! Engage your class in an Olympic mosaic involving real-life volume application problems (word problems). Worksheets integrate metric and imperial units, and use decimal and fractional length values (randomly 20% of the time). Units are chosen randomly for each problem, providing an opportunity for students to decide if the measurement is realistic or not, building a strong conceptual understanding of cubic units of measurement. INCLUDED: -.pdf and .docx of everything -Class set of the Olympic Rings mosaic (24-sheet set) -Class set of the Olympic Torch mosaic (20-sheet set) -A Teaching Tips page for each -An answer-range key for quick student assessment at a glance. (i.e. "Blue always has an answer between 120 and 160") -A COMPLETE ANSWER KEY for every worksheet! -A coloured, coordinate-labelled image of each mosaic to help you assemble the completed pictures. -The "Problem Order" list (shown above), giving the order of problem types on the worksheets. THE MATH INVOLVED: -Interpret V word problems arising from real life contexts -Use volume formulas for cylinders, prisms, pyramids, cones, and spheres to solve problems -Work with fractional and decimal edge lengths in the context of solving real-world problems -Use both metric and imperial units of measurement for length and volume, and consider the appropriateness of the (randomly chosen) unit for each problem. -Use the Pythagorean theorem to solve for necessary dimensions (slant height, perpendicular height, apex height) -Determine desired dimensions given information about the shape (i.e. get radius from circumference) All my "Colouring by..." math mosaics use the standard colours found in a Crayola 24 pack of coloured pencils. For best results, use the exact colour name match, and stick to one type of colouring medium. Maybe a class set of pencil crayons would be a fun departmental purchase? :) I'd love to hear from you! (calfordmath@live.ca.)
Colouring by Exact Trig Values - Degrees, Christmas Tree (6 Sheet Mosaic)
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Colouring by Exact Trig Values - Degrees, Christmas Tree (6 Sheet Mosaic)

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Some holiday trigonometric fun! Each worksheet contains a different set of problems. After solving, students use their answers to decode the colour-by-number grid. Every student is responsible for one of the 6 sections of the mosaic. Collaboratively, they create the Christmas tree mosaic! Math involved: ◾Students solve for exact ratio values for a given angles (0, 30, 45, 60, 90 and their related angles in the 4 quadrants) ◾Determine all angle solutions within the specified domain for a given ratio. ◾Coterminal angles are involved as well. Specifically, each worksheet contains 12 problems in the following order: 1) degrees, 1st quadrant only 2) degrees, 1st quadrant only 3) degrees, 1st quadrant only 4) degrees, all 4 quadrants 5) degrees, all 4 quadrants 6) degrees, all 4 quadrants 7) degrees, coterminal 8) degrees, all 4 quadrants 9) degrees, coterminal 10) degrees, all 4 quadrants 11) degrees, coterminal 12) degrees, all 4 quadrants INCLUDED: ◾ Everything comes in both .docx and .pdf format ◾ full set of 6 worksheets ◾ Complete answer key, giving the answers for all worksheets (easy assessment!) ◾ Coloured mosaic picture to guide the assembly of the mosaic ◾ Scrambled answers list at the bottom of each student's worksheet, allowing for self assessment. Encourage students to check all their answers by finding them in the scrambled list at the bottom of their worksheet before they colour. This will increase the accuracy of the final picture! All my math mosaics use standard pencil-crayon colours found in the Crayola 24 pack. Feedback, suggestions, and frontline stories are always welcomed! ~CalfordMath (@live.ca)
Collaborative Math Mosaics - Christmas Bundle (now 12 Versions!!)
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Collaborative Math Mosaics - Christmas Bundle (now 12 Versions!!)

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Engage your whole class this Christmas in a giant collaborative math colouring quest! This high-school take on "colour-by-number" style worksheets will have even your most reluctant students working to complete their assignments! For Christmas this year, I wanted to give you all something awesome! Compared to the amazing grace God showed the world when he sent his Son on that first Christmas, this giant free bundle is a very very small gift to help you and your students remember God's great promise fulfilled "...the rising sun will come to us from heaven to shine on those living in darkness and in the shadow of death, to guide our feet into the path of peace." (Luke 1:78-79) Each student's worksheet represents a small piece of the bigger picture, a nativity scene. Students complete the math problems, and use their answers to colour according to the key. When the work is done, the coloured sheets are put together to reveal the large pixel image. It's Simple: 1. Calculate 2. Colour 3. Cut 4. Combine! INCLUDED (zip folder with 12 versions in .docx and .pdf format): • Analytic Geometry (slope, midpoint, length, perimeter, median, altitude, bisector…) • Function Transformations (y= a f(x-h) + k form: quadratic, radical, reciprocal, cubic) • Linear Equations (one and two step, distributing, like terms multi-step) • Linear Systems (graphing, elimination, substitution) • Percentage (sales & discounts, tax, part/whole/percent proportions, increase/decrease) • Pythagorean Theorem (application problems) • Quadratic Equations (solve by factoring, isolating, or quadratic formula) • Sine and Cosine Laws (solve for sides and angles) • Sinusoidal Transformations (y = a sin or cos[k(x-p)]+q) • Trig Ratios (SohCahToa for sides or angles) • Basic Math (add, subtract, multiply, divide, holiday themed word problems and applications) • Ratios Problems (Holiday themed word problems, and numeric proportions) The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! Leave the picture a secret or show it for motivation… it’s your call. Encourage students to check their answers by finding them in the randomized list on their worksheets before they colour each square. This will increase the accuracy of the final picture! All my "Colouring by..." worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match, and encourage students to do some quality colouring! Perhaps a class set of pencil crayons would be a fun math department investment! Merry Christmas! ~Calfordmath
Algebra Tile Factris - Computer Game to Strengthen Quadratic Factorising
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Algebra Tile Factris - Computer Game to Strengthen Quadratic Factorising

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Quadratic factorising falls into place in a fight against gravity to build the perfect rectangle! Algebra Tile Factris provides a tactile, visual, and game-ified approach to factorising sure to strengthen any learner’s ability. (Think ‘Tetris meets Algebra Tiles’.) Addictively challenging, students will be learning before they know it! So many students are visual learners, yet factorising is often presented to them as a set of mysterious rules and algorithms to blindly follow. This download contains the full game .exe file, where you can play the first level for FREE, and then purchase a game license (solo, teacher, or school…) if you’re loving it. Designed BY a math teacher FOR math teachers. With a Teacher Account, you can access, create and manage classes, adding up to 200 students annually! View your students’ tracked achievements for quick assessment of their factorising strengths and weaknesses. Have students play on your Interactive Whiteboard using the touch-screen buttons; use it in a computer lab with your whole class; have students download and play the game at home for the most enjoyable math homework they’ll ever be assigned! With leaderboards and personal achievement badges, Factris harnesses the competitive element of online gaming that keeps so many students up to the wee hours. Leaderboards can be narrowed by school board, school, class, modified date, etc. Tell students to play with headphones (they likely have them in their ears anyway!) to enjoy the game’s full techno soundtrack and sound effects. Algebra Tile Factris is a Windows Desktop Application programmed in VB.net . Download the game and try the demo to make sure you can run it smoothly on your machine! If you’re loving it, you can buy a licensed account at factris.ca to unlock hours of factorising fun and unlimited levels! Questions or feedback? CalfordMath@live.ca