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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!
MFM2P Summative Task / Culminating Activity
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MFM2P Summative Task / Culminating Activity

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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
Trig Treasure Map
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Trig Treasure Map

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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.
Fractions of the Earth - Collaborative Colouring Math Mosaic
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Fractions of the Earth - Collaborative Colouring Math Mosaic

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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
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 Trig Ratios, Cool Emoji (Solo Mosaic)
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Colouring by Trig Ratios, Cool Emoji (Solo Mosaic)

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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
Colour by Number Range, Remembrance Day Poppy - Collaborative 25-Sheet Math Mosaic (5 Versions!)
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Colour by Number Range, Remembrance Day Poppy - Collaborative 25-Sheet Math Mosaic (5 Versions!)

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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
Colouring by One and Two Step Equations - Remembrance Day (25-Worksheet Mosaic)
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Colouring by One and Two Step Equations - Remembrance Day (25-Worksheet Mosaic)

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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
Colouring by Factoring _ Buzz (20 Worksheet Collaborative Math Mosaic)
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Colouring by Factoring _ Buzz (20 Worksheet Collaborative Math Mosaic)

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Highly Engaging!! Students practice common factoring, simple and complex trinomial factoring, and difference of squares factoring to decode the colour key needed to colour their section of the large 20-section Buzz Lightyear mosaic. Every student has a different worksheet! The end result will look spectacular hanging up in your classroom :) This makes a great unit summary, test-prep review, or prerequisite review for higher grades. INCLUDED: (in both .docx and .pdf format) ◾ Class set of 20 worksheets (all different!) that combine to create the Buzz mosaic ◾ Complete answer key, giving factored 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 students worksheet, allowing for self assessment. ◾List of the type of factoring problem assigned to each colour INVOLVED: Students factor 12 expressions including: ◾numeric common factor from a linear expression ◾numeric and variable common factor from a quadratic binomial ◾difference of squares binomial factoring ◾simple and complex (decomposition required) trinomial quadratic factoring ◾simple and complex quadratic trinomials with a numeric common factor to take out first 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! 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 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! If your class size doesn’t line up with 20, 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.) If your class is large, you could hand out duplicate sheets to those less likely to appreciate the colouring component of the task ;) Feedback, suggestions, and frontline stories are always welcomed! To infinity and beyond! ~CalfordMath (@live.ca)
Colouring by Trig Ratios, Tongue Out Emoji (Solo Mosaic)
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Colouring by Trig Ratios, Tongue Out Emoji (Solo Mosaic)

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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
Awesome Trig  Bundle!
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Awesome Trig Bundle!

7 Resources
These are some of my most popular, tried and true, trig resources! Save over $30 with this bundle! The products are diverse in this bundle, from single student worksheets to collaborative whole class math colouring mosaics to gameshow style review activities. Included: Collaborative Math Mosaics: -Batman v Superman (3 versions: Pythagorean Theorem, Sine & Cosine Laws, and SohCahToa) -Rubber Ducky - Right & Oblique Trig -SohCahToa Giraffe Fun Worksheets -Angle Tangle Spiderweb - Solving for angles with SohCahToa -Trig Treasure Map - Solving for sides with SohCahToa & Pythagorean Theorem Powerpoint + Kahoot! link - Choosing the correct trig tool, gameshow style review. Enjoy!
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 Equations - MLK (3 Versions, 30 Worksheet Edition)
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Colouring by Equations - MLK (3 Versions, 30 Worksheet Edition)

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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 :) 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
Trig Ratios Emoji Bundle
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Trig Ratios Emoji Bundle

9 Resources
"Which emoji do I have?!" Students do the math to find out! This product comes with 9 different solo math mosaics anonymously numbered "Version 1... Version 9". Each has a different set of problems, so you can encourage students to work together with a partner having a different version to avoid copying. The finished products will look fun around your class room! 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! INCLUDED (.docx and .pdf files in a zip folder): ◾ Full set of all 9 emoji worksheets ◾ Worksheets involve a range of right trigonometry problems that involve choosing and applying the correct primary trig ratio to solve for an unknown side or angle. ◾ Every worksheet contains a randomized list of answers at the bottom, allowing for student self-assessment ◾ Master Answer Key showing numeric solution for all versions ◾ Includes both individual files for each emoji, AND a handy 'quick print' file with all 9 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
Colouring by Pythagorean Theorem, Batman vs Superman (Two 12 Sheet Mosaics)
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Colouring by Pythagorean Theorem, Batman vs Superman (Two 12 Sheet Mosaics)

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Here's a mathy twist on an epic battle of justice! Two 12-sheet mosaics are included (Superman and Batman), so you can split up your students and have a right-angled colouring showdown! May the best coloured hero win! Each mosaic consists of 12 worksheets (each one unique!) involving the Pythagorean Theorem used to find the hypotenuse or leg of a right angled triangle. The questions are word problems and life applications of the theorem (12 problems per worksheet). Students' sheets combine to create the hero mosaics. 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! The Superman vs Batman battle is also available in the following versions: ◾Fractions - +,-, ×, and ÷ positive mixed fractions ◾Sine and Cosine Laws - solve for sides and angles ◾Trig Ratios (SohCahToa) - solve for sides and angles ◾Linear Systems - substitution, elimination, and graphing Students solve the a² + b² = c² problems, then use the answers to colour their worksheets based on the colour key. Complete answer keys are provided! 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!). Feedback, suggestions, and frontline stories are always welcomed! (calfordmath@live.ca) COMMON CORE MATH STANDARDS: ◾ HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. ONTARIO CURRICULUM (CANADA) ◾ MPM2D, Trigonometry Strand T2.2 Determine the measures of the sides and angles in right triangles, using the primary trigonometric ratios and the Pythagorean Theorem T2.3 Solve problems involving the measures of sides and angles in right triangles in real life applications, using the primary trigonometric ratios and the Pythagorean theorem. ◾MFM2P Measurement & Trigonometry Strand MT2.2: Determine the measures of the sides and angles in right triangles, using the primary trigonometric ratios and the Pythagorean theorem MR2.3: Solve problems involving the measures of sides and angles in right triangles in real-life applications (e.g., in surveying, in navigation, in determining the height of an inaccessible object around the school), using the primary trigonometric ratios and the Pythagorean theorem Thanks for checking this out! ~CalfordMath
Colouring by Multiplication - Classic Mario (Products up to 144)
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Colouring by Multiplication - Classic Mario (Products up to 144)

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This is a solo student colouring mosaic (as opposed to a collaborative math mosaic). Students will gain familiarity with plenty of single digit multiplication products, some 2-digit x 1-digit (and sometimes a 1 x big number randomly). This task gives some great motivation to work through a bunch of multiplication facts, since the picture only takes shape when all the squares are correctly coloured.
MPM2D Culminating Activity - Review Jeopardy
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MPM2D Culminating Activity - Review Jeopardy

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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
Colouring  by Mean, Median, and Mode - Lego Robin (12 and 20 Sheet Math Mosaics)
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Colouring by Mean, Median, and Mode - Lego Robin (12 and 20 Sheet Math Mosaics)

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This task falls right in the middle of Awesome, Fun, and Math! Students each work independently on their own worksheet, solving for the mean, median or mode for a given list of values, yet they work collaboratively to create a whole-class Lego Robin mosaic when the work is all done! Every worksheet has a unique set of problems, yet follows the same order of problem-type! You can confidently have students work together without cheating. Expect to hear good peer-to-peer math conversation and teaching. Math Involved: • Calculate mean value - includes negative values in the list • Determine the median value - includes cases with both odd and even number of values, (requiring students to average the two middle values). Students must first order the values (good integer practice.) • Determine the Mode - All sets of values are unimodal (no bimodal, or no mode cases, etc.) • All answers, and values in the lists, are integers INCLUDED: • pdf and docx file versions of the class sets of the 12 and 20- worksheets/colouring grids • Complete answer keys giving the colour and numeric answer for all problems on every worksheet. • Students' worksheets have a randomized answer list at the bottom so they can monitor their own understanding. • A Teaching Tips page, for smooth implementation of this task 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
Similar Triangles Math Rap
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Similar Triangles Math Rap

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"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.
Quadratic Super Modeller - Really Handy Virtual Algebra Tile Software!
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Quadratic Super Modeller - Really Handy Virtual Algebra Tile Software!

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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
The MFM1P 6000, Grade 9 Applied Culminating Activity - Far beyond Pencil and Paper
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The MFM1P 6000, Grade 9 Applied Culminating Activity - Far beyond Pencil and Paper

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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