# 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!

4 Resources

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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 &amp; 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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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: -&gt; Word (.doc) -&gt; Colourful handout with instructions -&gt; Answer key &amp; 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.

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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: -&gt; PDF (.pdf) -&gt; Colourful handout with instructions -&gt; 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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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 &amp; 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 &amp; 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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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

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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 &amp; 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 &amp; 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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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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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 &amp; Pyramids, Cones and Cylinders -A Teaching Tips page, for smooth implementation -An answer-range key for quick student assessment at a glance. (i.e. &quot;Blue always has an answer between 120 and 160&quot;) -A coloured coordinate-labelled image of the mosaic to help you assemble the completed picture. -A &quot;Problem Order&quot; list, giving the order of problem types on the worksheets. Here are a few Sample Problems (since the preview doesn't show them): --&gt;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. --&gt;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? --&gt;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? --&gt;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 &quot;Colouring by...&quot; 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)

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#### Trig Ratios Emoji Bundle

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"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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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 &amp; 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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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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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 &quot;all the points&quot; or &quot;half the points&quot; 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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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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&quot;The tale of a couple of young triangle bachelors, scouting out a party looking to score a few phone numbers...&quot; 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.

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