Students choose the best method (factorise, quadratic formula, isolating x directly from vertex form...) to solve 12 quadratic equations. This provides some basic practice for students. The picture is a bit of a downer... a sad face. I made this for my students after marking some disappointing tests, recognizing that many needed more practice! The way the task works is: Students solve for the roots of the quadratic and use the "greater" or "lessor" root as indicated to decode the colour-by-number grid. i.e. Blue = lessor root of x^2 + 3x + 2 which is (x+2)(x+1) and has roots -2 and -1, so the "lessor root" would be -2. The student would colour all the squares blue that have -2 inside. The method I had in mind for each question is: 1) simple factorable 2) quadratic formula 3) simple factorable, common factor 4) simple factorable 5) complex factorable 6) quadratic formula 7) simple factorable 8) complex factorable 9) simple factorable 10) quadratic formula 11) vertex form, a value not 1, integer answer 12) vertex form, a value =1, decimal answer This product includes .docx and .pdf version Be sure to check out my Collaborative Math Mosaics for a variety of topics!

Calling all π-rates of the Caribbean! To reach the buried treasure, students must apply the sine, cosine, or tangent ratios, and the Pythagorean Theorem, to calculate all unknown lengths along their path. Right triangle trigonometry just hit the high seas. INCLUDED: -> Word (.doc) -> Colourful handout with instructions -> Answer key & rubric suggestions This activity is perfect for Grade 10 Academic or Applied students (ontario curriculum: MPM2D, MFM2P), as it builds 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. This activity is a good compliment to my Angle Tangle Spider Web which focuses on calculating angles. This is more fun than a straight boring quiz. There are multiple paths that could be taken, offering some differentiation of ability and student initiative. Enjoy! ~ CalfordMath CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

This culminating activity brings all the overall expectations of the grade 10 applied mathematics course (MFM2P) together in an action-packed story line! Students help the young mathematically-inclined warrior Zachary rescue the kidnapped Princess Eva by applying their knowledge of trigonometry, proportional reasoning, linear relations & systems, quadratic relations, simple trinomial factoring, and 3D measurement. Will Princess Eva be rescued? Will the Warrior Zachary muster the math power to save the day? Have your students mastered the grade 10 applied mathematics curriculum?? ...this task will be the determining factor! INCLUDED: .docx and .pdf format of the assignment AND the complete answer key

Students use SohCahToa to solve for sides and angles, then use their answers to colour-by-number and reveal the pixel emoji INCLUDED ◾ .docx and .pdf files in a zip folder of the worksheet & emoji colouring grid ◾ The worksheet involves 6 solve-for-side problems and 6 solve-for-angle problems, randomly requiring sin, cos, or tan. ◾ A randomized list of answers at the bottom, allowing for student self-assessment ◾ Complete Answer Key (in order!) for the teacher, showing the numeric solution for each problem. ◾ Handy formulas & steps exemplar included in the handout for students' reference If you like this product, be sure the check out my collaborative math mosaics, where each worksheet represents a small piece of the larger whole-class mosaic! 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. 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 much appreciated!! Thanks for checking this out! ~CalfordMath Curriculum Connection: ◾ HSG-SRT.C.8, ◾ MPM2D, ◾ MFM2P, ◾ MBF3C

A highly engaging way for your students to practice their fraction operations! Your students will each work independently on their unique worksheet (each is unique!), then combine their work to create the Earth mosaic! Individual accountability is ensured, while collaborative motivation provides a powerful push to complete the work! The end result will look spectacular hanging on your classroom wall! INCLUDED: ◾.pdf file containing all that follow below: ◾ 25-Sheet class set or worksheets that combine to create the large Earth mosaic ◾In this version, each worksheet contains 36 fraction problems. Every sheet is unique! (For a lighter workload, check out the Light Version where each sheet contains only 12 fraction problems, and the worksheet style is a more traditional colour-by-number.) ◾Every worksheet has the answers scrambled at the bottom, allowing students to self-assess their work. ◾Full answer key for all worksheets (both a colour key and calculation answer key) ◾Completed mosaic template with coordinates to help you assemble the completed mosaic ◾Teaching Tips for smooth implementation Students solve the fraction problems, then use the answers to colour their worksheets based on the colour key. Their sheets combine to create the Earth! It's simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! The student buy-in factor is HUGE with these worksheets; they all want to see the finished picture come together! Middle school students love colouring too! This sure beats textbook homework! This would also be a good review before teaching rational functions to high school students. Imagine if your students were the ones policing homework completion? "Common Jenny! Do your work or we'll have a hole in our picture!" Leave the picture 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! Thanks for checking this out! ~CalfordMath

A highly engaging task combining individual accountability with collaborative motivation! 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! Each worksheet contains 12 problems of the following type: 1) Simple Soh Cah Toa - side 2) Simple Soh Cah Toa - angle 3) Soh Cah Toa - side 4) Soh Cah Toa - angle 5) Soh Cah Toa - side 6) pythagorean theorem 7) Soh Cah Toa - angle 8) cosine law - find side 9) sine law - find side 10) cosine law - find angle 11) sine law - find angle 12) sine law - find side 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 of everything): --> Full class set of 15 worksheets (all different!) that combine to create the ducky mosaic! --> Full answer keys for all worksheets for easy assessment. Also, a colour-range answer key is provided for at-a-glance assessment. i.e. golden yellow -> [14, 22) --> Teaching Tips page to help you implement this task smoothly CURRICULUM CONNECTION Common Core States Standards: HSG-SRT.C.8, HSG-SRT.D.10, HSG-SRT.D.11 Ontario, Canada: MPM2D, MBF3C, MCR3U, MCF3M Trig 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 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! If your class size doesn’t line up with 15, no worries! You could have some students work pairs (differentiated learning!) or use the answer key to fill in the missing pieces quickly. If your class is bigger than 15, you could hand out duplicate sheets and use the best coloured one, or make two mosaics. Feedback, suggestions, and frontline stories are always welcomed! Thanks for checking this out! ~CalfordMath

Help students Remember this November as they collaboratively colour their sections of the class mosaic, then piece together their work to reveal the large mosaic image. Students gain practice placing numbers within an interval given using inequality symbols. The lower bound is inclusive while the upper bound is exclusive. Five versions are included in this bundle: • Number (basic colour-by-number style, positive values under 50) • Positive Number Ranges (positive range assigned to each colour) • Integer Number Ranges (colour ranges include negative, spanning -50 to +50) • Decimal Number Ranges (numbers with up to 2 decimal places) • Rational Number Ranges (decimal and improper fraction values) INCLUDED: (zip file contents) • .docx and .pdf versions of everything • Complete class sets of 25 worksheets for each of the 5 versions • Coloured mosaic with coordinates for easy assembly guidance • Teaching Tips to help you implement this with your class smoothly Thanks for checking this out! I’d love to hear you feedback! ~CalfordMath

Build proficiency in your students' French number vocabulary with this fun collaborative colouring activity. It is different than other colour-by-number worksheets, since each student's worksheet represents only a small section of the large whole-class mosaic. The collaborative aspect of these worksheets will have THEM policing the homework completion. (Nobody wants to be responsible for the hole in the picture!) Paris and the Eiffel Tower are icons of French, and would certainly enhance your classroom hanging up on the wall! It's simple: 1) Calculate / Solve 2) Colour 3) Cut 4) Combine FOUR DIFFERENT VERSIONS INCLUDED: (.pdf and .docx format) 1) Math facts (+, - , ⨯, ÷ ) for numbers 0 –> 100, answers given in French words. **Example problems: Quarante moins Trente-et-un = ? Cinquante-quatre divisé par Trois = ? Trente-cinq plus Onze = ? 2) Basic translation from words to numerals (numbers 1 –> 100, answers given in numeral form) **Example problems: Cinquante-six Dix-neuf Zéro 3) Translation from words to numerals for large numbers (1000 – 1 000 000, answers given in numeral form) **Example problems: Deux-cent-soixante-mille-cent-quarante-quatre Soixante-mille-cent-dix-neuf Quatre-cent-quatre-vingt-mille-cinq-cent-quarante-sept 4) Word Number Patterns (Increasing or decreasing by 1s or 2s for numbers beween 0 – 100, answers given in French words.) **Example problems: Trente-neuf, Quarante, Quarante-et-un, ______ ? Vingt-et-un, Dix-neuf, Dix-sept, ______ ? Trente-deux, Trente-trois, Trente-quatre, ______ ? For each version, a number-range answer key is provided, so you can assess students' responses at a glance, or use the range to correctly colour any extra worksheets. In my experience, students are asking to complete extra sheets to see the picture completed! These worksheets apply to the vocabulary component of the grade 6 Ontario Core-French curriculum. (basic vocabulary including numbers from 1 to 100) I'd love to hear your feedback too! Enjoy! ~CalfordMath

This task differentiates learning by giving keener students the chance to show their understanding by doing fewer (but more challenging) problems. For grading students work, I usually give "all the points" or "half the points" for a partially correct solution. You could break it into quarters if you need to be more specific :) You can edit the .docx version to suit your specific class needs. This makes a great exam review, even if you don't wish to use it for evaluation purposes! INCLUDED: .docx and .pdf file versions

Highly Engaging! My students volunteered to complete extra sheets! You get two full class set of 28 worksheets that come together to make the giraffe mosaic in both a word-problem format, and in the recently added diagrams-version! PLUS I've added 'small group' versions for 4 or 8 students, making the task very flexible to various class sizes. Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) Students use the basic trig ratios (sin, cos, tan) to solve for sides and angles, then use the answers to colour their worksheets based on the colour key. 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 (.docx and .pdf of everything): --> Full class set of 28 worksheets (all different!) that combine to create the Giraffe mosaic. --> Full sets for both the 4-worksheet and 8-worksheet versions. (More of a traditional colour-by-number style.... look at the preview) --> A Teaching Tips page to help you implement this task smoothly -->Worksheets involve a range of right trigonometry problems that involve choosing and/or applying the correct primary trig ratio to solve for an unknown side or angle. --> Master Answer Key showing both the colour and numeric solution for all worksheet problems for the 28-student version, and the colour key with answer-ranges for the small-group versions. 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! This sure beats textbook homework! Imagine if your students were the ones policing homework completion? "Common Josh! Do your work or we'll have a hole in our picture!" 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! Thanks for checking this out! ~CalfordMath

Help students to Remember this November as they collaboratively complete the Poppy mosaic. Each student's worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) Also check out the Remembrance Day Poppy mosaic in a : more basic colour-by-number and number range bundle (5 versions) . Students solve 1 and 2-step linear equations, then use the answers to colour their worksheets based on the colour key. Their sheets combine to create the large mosaic image! 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): • Full class set of 25 worksheets (all different!) that combine to create the Poppy Mosaic • Complete Answer Key for all worksheets making assessment a breeze • Every worksheet has a randomized answer list at the bottom so students can self-assess their work before colouring • Coloured image of the mosaic with coordinates, guiding you to easy assembly 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 will be a nice change in pace from textbook homework. Leave the picture a secret or show the answer key 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! If your class size doesn’t line up with 25, no worries! You could hand out some duplicate worksheets if you have a large class (perhaps to a student less likely to enjoy the colouring aspect of this task!) or, you could have some students work pairs (differentiated learning). If you have a small class, in my experience, students are eager to do additional sheets to complete the picture! (Or you could use the answer key to fill in the missing pieces quickly.) Feedback, suggestions, and frontline stories are always welcomed! Thanks for checking this out! ~CalfordMath

Highly Engaging!! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) Two versions are included in this bundle: LINEAR EQUATIONS VERSION: -1 step, 2 step, x on both sides, distributing first ANALYTIC GEOMETRY VERSION: -slope or length of line segment given two points -perimeter of a triangle given coordinates of its vertices -determining the slope or y-intercept of a line given its standard form equation -determining the slope of a line parallel or perpendicular to a given line Students use the answers for each square to colour their worksheets based on the colour key. Their sheets combine to create the large mosaic turkey image! It’s simple! 1. Calculate the answers. 2. Colour the squares. 3. Cut out your section. 4. Combine with the class! INCLUDED (zip folder): –> .docx and .pdf of everything –> 2 Full class sets of 30 worksheets (all different!) each that combine to create the Turkey Mosaic. –> Master Answer Key for both versions, showing both the colour and numeric solutions for all worksheet problems. –> Each worksheet has a randomized answer list, allowing for student self assessment –> Teaching Tips page for smooth implementation 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! 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! Tell them to colour darkly for a great looking result! 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! Thanks for checking this out! ~CalfordMath

Highly Engaging!! Each worksheet represents a small section of the big picture! The end result will look spectacular hanging up in your classroom :) 3 Versions (Each with 30 worksheets): -Linear Equations (1 and 2-step, multi-step, distributing, like terms) -Just 1 and 2-Step Equations -Proportion Equations Students solve 12 equations, then use the answers to colour their worksheets based on the colour key. Their sheets combine to create the large mosaic image! 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 ): –> Full class sets of 30 worksheets (all different!) that combine to create the MLK mosaic. –> Answer keys showing the colour and answer-range key for each version. 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! If your class size doesn’t line up with 30, no worries! If you have a small class, in my experience, students are eager to do additional sheets to complete the picture! (Or you could use the answer key to have students colour the missing pieces quickly.) Feedback, suggestions, and frontline stories are always welcomed! Thanks for checking this out! Happy Martin Luther King Jr. Day! Happy Black History Month! ~CalfordMath

This product would be great as a teaching demonstration tool, or for individual student investigations in a computer lab. Students will clearly experience the graphical effect of each algebraic parameter in the transformed equation: f(x) --> a f[k(x-p)] +q File types: GSP5 By manipulating the graph dynamically, students will make a strong connection between the graphical and algebraic representations of functions. With easy-to-navigate separate sliders, students can manipulate the vertical stretch/compression, horizontal stretch/compression, horizontal translation, and vertical translation Functions included: (see the tabs at the bottom of the screen) -Linear -Quadratic -Cubic -Radical (Square Root) -Rational ( 1/x) -Absolute Value -Logarithmic (with an adjustable base value) -Exponential (with an adjustable base value) -Sinusoidal (Sine and Cosine in degrees, includes midline plotted) -Tangent (in degrees, includes asymptote lines) Main Common Core Expectations Addressed: CCSS.MATH.CONTENT.HSF.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. CCSS.MATH.CONTENT.HSF.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Or, in the Ontario Curriculum, this file is ideal for MCR3U, MCF3M, and MHF4U.

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.

"The tale of a couple of young triangle bachelors, scouting out a party looking to score a few phone numbers..." Ernie and Stu put their lines to the test when a cute angle is spotted at a hoppin' party. They rely on their knowledge of similarity, proportionality, and trigonometry to prove their compatibility. Keep it triggy! Check out Trig Treasure Map for a fun right angle trigonometry worksheet, where students solve for missing side lengths using SohCahToa. This is a FUN little extra to any trigonometry unit! The more math the students understand, the more innuendos and trig references they'll pick up on.

A fresh approach to a culminating activity for grade 9 applied math, far from the routine pencil and paper! The “MFM1P 6000” is an interactive computer game which gives students an opportunity to show what they have learned, using models and strategies used in current MFM1P classes, while providing endless opportunity for practice and timely remedial help! Students receive instant automated feedback worded in growth mindset language. This program also provides teachers an extensive summary of students strengths and areas of difficulty. Download the game file, place it in a public handout folder that students can access, and give them 3-4 days to play! Make sure the students have calculators, scrap paper, and perhaps a formula sheet too. Download Tip ◾Your computer will flag the program as a virus. It is just doing it’s job as it should for any unknown executable file! Be assured it is safe. Click “more info” and then “Run Anyway” etc. I know how tough it can be to motivate students to review material from the start of the semester in preparation for EQAO and the final exam. Set them loose in a computer lab for a few days with the MFM1P 6000 and watch the magic happen! Please visit calfordmath.ca/MFM1P6000 for a complete layout of the culminating activity including a complete curriculum connection list, and an up-to-date list of bug fixes and changes. This activity generates every single problem randomly so that every student has a different set of problems and can try as many attempts as necessary to master each topic. The topics span the MFM1P curriculum, and are arranged in difficulty from $100 to $500 score value. To earn 100%, a student must earn $6000 or more, and complete at least two problems from each category. I had tremendous engagement and much EQAO success with my grade 9 applied class last year when I piloted this activity. I have also added and tweaked many things! The game is a Windows Desktop Application designed for a PC. It is not web based, so you will need to copy the game file to a public handout folder where students can open it. I think you and your students will LOVE this! I would love to hear how it goes with your class, and I welcome any suggestions you have! Thanks for checking this out, ~CalfordMath

Teach algebra geometrically! Students will DISCOVER the rules for factorising and completing the square rather than memorize blind algorithms. Algebra tiles can explain the "square" in completing the square, aid students in collecting like terms visually, help with integer operations, and make factorising a visual process! Also, check out Algebra Tile Factris for a game-ified spin on factorizing! Enter ANY quadratic expression in standard, vertex, or factored form and get a digital algebra tile model! The tiles snap in place and don't overlap. This is perfect for teaching students to expand, factor and complete the square. This software requires Windows to run. It is desktop application, created in VB.net (4.5 framework to be specific). I have placed the .exe file in zip folder. It will give you a warning messages, as all .exe files will, when you open the program, but I assure you there is nothing malicious about this software! Simply click "run anyway" or "allow" and enjoy! I created this out of need! The need for better virtual algebra tiles! Students find physical tiles cumbersome to manipulate, and most of the virtual tiles I've found are very finicky to manipulate! This software is more than a virtual algebra tile modeller... it includes step by step instructions, guiding students to the standard, factored, or vertex form! It recognizes when the tiles have been factored (built into a rectangle) or the square has been competed. More than this, it dynamically knows the answer giving either a green checkmark, a red x, or a yellow "half way checkmark" if their answer is not formatted quite right. There is an option to "Just play with the tiles" if you don't wish to be restricted to quadratic expressions. You can add tiles to the panel and it will give the algebraic polynomial tally up top (and even tell you if your tiles are factorable or not). As I continue to tweak and update this program I will update the file here, so you can always download a fresh version, should the file change. You can use this on an interactive whiteboard as a teaching tool, or throw the file in a network drive for students to use individually in a computer lab. Feel free to use this product with your own students, but please do not distribute or post the file openly on the internet or share with colleagues, as this would violate copyright permissions. Send them here! I welcome your feedback and suggestions. Common Core States Standards: HSF.IF.C.9 HSF.IF.C.8 HSA.SSE.B.3.a HSA-REI.B.4 HSA-REI.B.4b Ontario Curriculum: Great for MPM2D, MFM2P, MBF3C, MFM3M, MCR3U