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

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

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

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

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.

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.

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)

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)

A highly engaging way for your students to practice their fraction operations! Your students will each work independently on their own unique worksheet, 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 ending result will look spectacular hanging up in your classroom, and your students will be proud! INCLUDED: ◾.pdf file containing everything listed below: ◾25-Sheet class set of worksheets that combine to create the Earth mosaic. ◾Light version contains 12 fraction problems per worksheet, and follows a more traditional colour-by-number style. (Check out the regular version where each sheet contains 36 fraction problems, and the problems embedded in the colouring pages!) ◾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 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

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.

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.