## Lessons & Activities: Grade 5 365 Penguins by Jean-Luc Fromental is a humourous book that can be a great launch into partitioning (lesson here) or can be the context for multiplication and divsion problems. B.C. PLO A1 and B1 Lesson Student Sheet French Lesson French Student Sheet Addition and Subtraction Story Problems - The Garbage Barge See lesson descriptions using the Story Problem thinkboard for ideas for this book.  This lesson includes a mixture of addition and subtraction story problems with result unknown and sums or differences with decimal numbers.  Problems at  lower levels can be found in grades 2 to 4. B.C. PLO A11 Practice Problems Story Problem Thinkboard French - Since the book is not available in French, we suggest you read it in English and do the math in French. Practice Problems Story Problem Think Board Addition and Subtraction Story Problems This lesson includes a mixture of addition and subtraction story problems (result unknown, change unknown and start unknown) based on the new Michael Phelps book, How to Train with a T.Rex and Win 8 Gold Medals.  See grades 2, 3 and 4 for simpler versions of the problems. Thanks Marty for ordering this book for all of SD71 libraries.  You should be getting your copy soon! B.C. PLO A11 Diversity tip: Prepare copies of the grade 2, 3 or 4 cards as well, so that children who aren't ready to work with decimal numbers can solve the problems without tripping up on numbers too difficult for them.  They love the challenge of working up to 'just right' numbers for them. Lesson Warm-up Concentration Partner Problems Multiplication  It is important that students understand several models of multiplication; skip counting (repeat addition), groups of, rows of (array/area), multiples and factors.  A solid base with the concepts and recall of multiplication is important. Reinforcing multiplication strategies Additive/ Multiplicative Thinking Mat with student example Chain Links A thought provoking game that reinforces MULTIPLES, FACTORS, RELATED FACTS, DOUBLES AND HALVES. B.C. PLOs A3 and A4 Diversity tip: Clear learning intentions and co-constructed criteria coupled helps to address diversity with this 'tested' lesson.  Students enjoyed the game which after playing once, then developing criteria helped to solidify the concepts. Lesson Student Sheet How Many Jelly Beans? by Andrea Menotti - Representing large numbers with additive and multiplicative thinking  Representing numbers to 1 000 000 can be fun with this book.  The thinking mat allows students to display a variety of ways to represent the number of their jelly beans - pick just-right numbers.  The book has many applications and would also be great for skip counting, estimating, adding/subtracting stories, discussions....   Thanks to Doug David and Puntledge students for all your help with this!  BC PLOs A1, A3, A4. Thinking flexibly with number representations - 3 pages; English, student sample, French Additive and Multiplicative Thinking mat - 3 pages; English, student sample, French Decimals It is often difficult for students to redefine the value of a Diene's block when working with decimal concepts.  Jaki helped her class develop their understanding by having her students imagine magnifying the 'ones' block to work on building decimal numbers.  Thanks Al for translating. "I have...Who Has" - a class game to practice saying, hearing and reading decimal numbers.  After practicing as a whole class, Jaki has two of these games operating at once and 1/2 the class competes with the other 1/2 to see who can finish first.  This takes careful listen and careful reading of the numbers. B.C. PLO A9 Place Value Mat for decimal numbers.   French version Place Value Mat for decimal numbers Describe and Represent Decimals  We had fun doing an activity to determine a deimal number - like measuring the length of time to finish a multiplication table, do 15 sit-ups, or our height in metres, the length of a standing long jump - all measured to the tenths, hundredths, or thousandths place.  We then built our decimal numbers concretely with base 10 materials and represented it pictorially and symbolically on our decimal mats.  B.C.  PLO A8 Decimal mat Student answer example Relating fractions to decimals  We started with easy fractions (1/2, 3/10) before moving on to more difficult fractions.  As a class, we determined 7 different ways to determine the decimal representation of a fraction.  We used a chocolate bar as a context.  Students created posters of "their just-right fraction" that displayed several representations. B.C. PLO A9 Our 7 methods to relate fractions-decimals Division Introduction - Use Stuart Murphy's Divide and Ride picture book to introduce the concept and vocabulary for division. B.C. PLOs A3 and A6 After running this lesson in Pam's grade 4/5 class, she developed this sheet to reinforce the concept before my next lesson - A Remainder of one.  Thanks Pam for sharing! Lesson Journal Divide Think Board Divide and Ride problem sheet   French versions of the student sheets Journal Divide Think Board Divide and Ride problem sheet  Division Lesson Two - This time work on arrays with division using Elinor J. Pinczes book A Remainder of One B.C. PLOs A4 and A7   With this lesson in Pam's grade 4/5, we established using the 'Goesinta' to work towards symbollically calculating division questions.  Pam developed this sheet to reinforce that.  Thanks again for sharing! Lesson Divide Think Board Divide Think with mixed problems A Remainder of One problem sheet French versions of the student sheets Journal Divide Think Board A Remainder of One Problem Sheet Division Lesson Three - Focus on Base 10 Blocks to help Mr. Hoppy figure out how many trips to carry tortoises home in a basket.  The humourouse book, Esio Trot by Roald Dahl is a great tie in to this lesson and will provide more context for division. B.C. PLOs A6 Lesson Divide Think Board Esio Trot problems sheet Division Lesson Four - Meerkat Mail by Emily Gravett or Chers maman et papa (French Version) provides the context for further division practice. B.C. PLO A6 Meerkat practice sheet one Meerkat practice sheet two French versions of the student sheets Meerkat practice sheet one Meerkat practice sheet two Division Lesson Five - The Garbage Barge is a new book in our district that provides insight into a 'real' garbage problem.  We used the context of this book by Jonah Winter to create the student division activities. Thanks Lazo grade fives for letting me test this one on you! B.C. PLO A6 Student sheet Student sheet - division challenge French - though neither of these books are available in French, they could be read in English and the activities done in French. Student Sheet The Array Model- Multiplication Connected to Division This lesson series breaks down the instructional steps in multiplication as an array model and connecting it to division.  The lessons include the model of gradual release, real-world contexts and concrete/ pictorial/ abstract representations.  Students will be able to compare and contrast the operations of multiplication and division, use partial products / distributive property and explain why the steps in the division algorithm work! Lessons - Array Model-Multiplication Connected to Division Array Cards Fractions Fraction concept development is very important.  We need to make sure that fractions are presented as parts of a whole (with the whole in MANY different shapes - not just pizza) as well as parts of a set.  In grade four, fractions also need to be understood on a numberline. In grade five, we need to make sure work with equivalent fractions is at a concrete and pictorial level.  I have included a template for fraction strips.  The printshop can print them in colour for you.  Have your children create their own fraction strips, which they fold, cut and label.  By the time they have labeled 16 1/16's they really get that 1/16 is small!  More activities can be found in SD71's professional library books, Lessons for Introducing Fractions and Lessons for Extending Fractions by Marilyn Burns. B.C. PLO A7 Fraction Benchmarks This idea came from Vector magazine and was first found by Debbie Nelson - a great catch!  Students can hold up these number line pockets to show how they've compared, ordered or calculated their fractions.  Photocopy the pocket on cardstock, fold the bottom and staple to create the pocket.  The fraction cards fit into the pocket.  BC PLOs A7 Fraction Concepts Manipulatives need to be a very important part of developing understanding of fractions.  Some great tools in all of our schools include cuisinaire rods, tangrams and fraction circles. Warlord's Puzzle activity can be extended by assigning a dollar value to one of the shapes, such as the large triangle is worth \$1.25 and have student determine the value of the completed puzzle. Kids and Cookies is an interesting interactive 'Flash' site that helps to visualize 'sharing' of cookies. B.C. PLO A7 Pictorial:  Lion's Share Problem Concrete:  Warlord's Puzzle Warlord's Puzzle answers Concrete: Cuisinaire rods "I have...Who Has" - a class game to practice saying, hearing and reading numbers to the billions. B.C. PLO A1 Thanks Tammy for sharing this with us and to Martin for translating. Game Cards and Instructions. Game Cards and Instructions in French. Multiplication Lessons - Two Digit The grade fives at Brooklyn/Lazo are feeling very confident about their multiplication skills after working on this series of lessons.  The Multiplication Tic Tac Toe gave students a lot of choice which helped to address the diversity in the class. The criteria has been provided as an example only.  The power of the criteria is in creating it WITH the students. Thanks Lynn and Sarah for sharing with us. B.C.PLO A5 Diversity tip: Clear learning intentions and co-constructed criteria coupled with an open-ended task helps to address diversity with this 'tested' lesson series.  High quality work with thoughtful explanation were evident in the work done by Brooklyn/Lazo's Grade 5's. Lesson Multiplication Criteria Invented Strategies for multiplication Multiplication Tac Toe Strategy Selection mat - English, French French Versions Lesson Multiplication Criteria Invented Strategies for multiplication Multiplication Tac Toe Number Relationship Mat This activity is excellent laminated and then used for warm up and review for number concepts. B.C. PLOs A1, A3, and A7 Thanks Lisa for adapting this mat for intermediate grades and Patrisha and Cheryl for translating it. Diversity tip: Students or the teacher selects the starting number for this activity which allows students to work with numbers that are appropriate for their level of mathematics. Number Relationship Mat   Number Relations ship Mat - French Version Place Value - Build models I have been working on a series of lessons that have children examining their understanding of large numbers and to introduce or reinforce the 10 times as big that each shift left in the place value chart represents. 1.  A Million Dots by Andrew Clements - I read the children this fun book then have them draw dots in groups of 10 for one minute.  After this experience the children estimate how long a line of 10, 100 and then 1000 dots would be.  I help them go for a walk of 1000 dots, having a child stand at every 100 dots. 2.  After some journal entries for 'Large numbers' and lots of conversations about the cyclical nature of our number system we then build a model of 1 111.  If one square is 1 etc. - I have included a photo of a sample.  I distribute coloured paper, have them fold it, then start to glue - right to left 1, 10, 100 and 1000.  I point out the pattern of square, rectangle etc. and purposefully have them put the 1000 as a rectangle so that the effect of x 10 is very clear.  Children then describe what their model shows about large numbers and the x10 relationship. 3.  A final fun task for a group of grade 4's at Valley View was to make a new model.  I read them How Much is a Million? by David Swartz that asked them:  If one paper clip is one, what would 10, 100 and 1000 look like?  We had great fun and some incredible learning when we strung together 10 boxes of 100 clips.  Once child confidently said when she saw I had one box of 100, "All you need is 10 boxes because 1000 is 10 times 100."  Music to my ears! B.C. PLO A1 Journal Grid Paper for 1111 model Paper clip reflection French - though neither of these books are available in French, they could be read in English and the activities done in French. Journal Paper Clip Reflection  PATTERNS AND RELATIONS Equations, Balance, Variables and Algebra Tiles   This lesson shows how students can represent and solve for unknown numbers by using the idea of balance (same as / equality), concrete shapes, variables and then algebra tiles to build their understanding about algebra. Equations, Equality, Variables and Algebra Tiles lessons 