Collaborative motivation meets individual accountability in a highly engaging task involving surface area and volume real-life word problems. Each student's worksheet is different! Each worksheet represents a small section of the big picture!
This task makes a terrific unit summative assessment. It was designed with the grade 9 academic course (MPM1D Ontario Curriculum) in mind, and includes the volume and surface area of prisms, pyramids, cones, cylinders, and spheres.
CHECK OUT THE PRODUCT PREVIEW to see the range of problem types and know exactly what these worksheets involve!
Find the Grinch in lots of topics!
◾ Trig Ratios from Triangle Diagrams
◾ Ratio Problems & Numeric Proportions
◾ Volume and Surface Area Application Word Problems
◾ Linear Systems - Equations, and Holiday Themed Application Word Problems
◾ Sine & Cosine Law - Solve for Angle or Side
◾ Linear Equations, 1 & 2 Step, multi-style bundle
◾ Or, Get ALL my Christmas themed mosaics in one bundle for huge savings!
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.
-.pdf and .docx format files in zip folder
-A Teaching Tips page
-An complete answer key for quick student assessment of all worksheets
-An answer-range key (i.e. "Blue always has an answer between 120 and 160")
-A completed mosaic image with coordinates labelled for easy assembly
-A "Problem Order" list, giving the order of problem types followed by all worksheets.
THE MATH INVOLVED:
-Interpret V and SA word problems arising from real life contexts
-Use volume formulas for cylinders, prisms, pyramids, cones, and spheres to solve problems
-Work with fractional and decimal edge lengths in the context of solving real-world problems
-Use both metric and imperial units of measurement for length, area, and volume, and consider the appropriateness of the (randomly chosen) unit for each problem.
-Consider the context of the problem (i.e. does the top area get included?)
-Use the Pythagorean theorem to solve for necessary dimensions (slant height, perpendicular height, apex height)
-Determine desired dimensions given information about the shape (i.e. get radius from circumference, or perpendicular height from a known side length for an equilateral triangle.)
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!
If you like this product, be sure the check out the whole Collaborative Math Mosaic directory
, sorted by topic!
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? :)
May your heart grow 2 sizes bigger this Christmas!