Chance

|| QT Elements  ** Indicators:  ** - Predicting and recording all possible outcomes in a simple chance experiment. - Using the language of chance in everyday contexts eg a fifty-fifty chance, a one in two chance . - Listing all possible outcomes in a simple chance situation e.g. heads, tails, if a coin is tossed.  - Conducting simple experiments with random generators such as coins, dice or spinners to inform discussion about the likelihood of outcomes e.g. roll a die fifty times, keep a tally and graph the results. <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">- Distinguishing between certain and uncertain events. <span style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-indent: -18pt;"><span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">- Compare familiar events and describe them as being equally likely or more or less likely to occur. <span style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; tab-stops: list 36.0pt; text-indent: -18pt;"><span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">- Ordering events from least likely to most likely. || <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Demonstrate to students how to use pegs to predict and record a simple chance experiment. Draw up a table to show how to record results. <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">In small groups, students are given a bucket of pegs or any other object preferred. The bucket could have 10 blue and 10 yellow pegs. Students begin to sort and count the pegs and then return to bucket. Students predict all possible combinations of pegs if two pegs are randomly taken from the bucket, using the language of chance. When they have finished discussing the possibilities, they select one possible combination and write it down in their table. Without looking, they take two pegs out of the bucket and compare it with their predicted result. ** <span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Worksheet: **<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> // Chance Experiment //**  Resources  **: // Pegs, maths book //  ||  <span style="font-family: 'Century Gothic','sans-serif';">   || <span style="font-family: 'Century Gothic','sans-serif'; font-size: 8pt;"> <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Begin lesson by explaining the difference between certain and uncertain events and other words like (unlikely, impossible, probable). You could brainstorm student responses on paper. Use a variety of examples through social contexts, for greater understanding. For e.g “How likely is it that we will have a formal school assembly today?” etc… This activity could be used in many different ways for e.g. (The teacher reads out a list of questions and students could answer in books. Or the four corners of the classroom could each represent one of certain, uncertain, likely or impossible. After teacher reads out a question students need to make a decision by moving to one of the four corners.   <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Go to IXL Maths at <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">[] <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> **  For Year 3  ** and IXL Maths at <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">[] <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> **  For Year 4  **. This website is a free version with 100 different chance questions that could be used as a whole class interactive activity. ** <span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Worksheets **<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">: // Probability- Certain, Possible or Impossible // // <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> Most likely, likely, least likely  // // <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> Game of chance //** <span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Resources:  **<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> // Butchers paper //  ||  <span style="font-family: 'Century Gothic','sans-serif';">   || <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Revise uncertain and certain events using a dice this time. Go to A maths Dictionary for Kids by Jenny Eather at <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">[] <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">. Click on C, then click on Chance to play chance dice game. Students could sit in pairs with a dice each. They read the question on the interactive whiteboard and roll their dice in order to decide on one of the four answers (impossible, unlikely, likely or certain) on the interactive board. Teacher to reveal answer. <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> Additionally, students could sit in pairs and roll their dice a number of times e.g. (5, 15, 25, 50). Tally their results to determine the likelihood of outcomes. Discuss and compare results with partner. ** <span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Worksheet: **<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> // Dice- Chance Experiment //**  Resources:  ** // Dice for each student //  ||  <span style="font-family: 'Century Gothic','sans-serif';">   || <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ||  <span style="font-family: 'Century Gothic','sans-serif';">   || <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">In pairs, students discuss and list in their books the possible outcomes when tossing one to two coins. Eg heads, tails. The same concept can be repeated with materials of your choice. ** <span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Worksheets: **<span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> // <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Tossing coin 20 times   //** <span style="color: red; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Resources  **// <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">: Coins  //<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  ||  <span style="font-family: 'Century Gothic','sans-serif';">   ||
 * ** <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">Term 1, Week: **
 * <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">1  ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">2   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">3   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">4   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">5   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">6   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">7   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">8    ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">9    ||  <span style="background: yellow; font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">10 <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">11   ||
 * <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">DK  ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">DU   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">PK   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">HOT   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">M   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">SC   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">EQC   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">E    ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">HE    ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">SS   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">SSR   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">SD   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">BK   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">CK   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">KI   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">I   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">C   ||  <span style="font-family: 'Century Gothic','sans-serif'; font-size: 10pt; line-height: 150%;">N   ||
 * ** <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Outcome: **<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> NS2.5 Describes and compares chance events in social and experimental contexts. <span style="font-family: 'Arial','sans-serif'; font-size: 14pt;">
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 1 **  ||  <span style="font-family: 'Century Gothic','sans-serif';">Register   ||
 * ** __<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Pegs - Predicting/Listing/ recording outcomes __ **
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 2 **  ||  <span style="font-family: 'Century Gothic','sans-serif';">Register   ||
 * ** __<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Certain / Uncertain events __ **
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 3 **  ||  <span style="font-family: 'Century Gothic','sans-serif';">Register   ||
 * ** __<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Dice – Certain/ Uncertain / Comparing __ **
 * <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 4 **  ||  <span style="font-family: 'Century Gothic','sans-serif';">Register   ||
 * <span style="font-family: 'Century Gothic','sans-serif';"> ||  <span style="font-family: 'Century Gothic','sans-serif';">   ||
 * ** __<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Tossing Coins __ **
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 5 **<span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">   ||  <span style="font-family: 'Century Gothic','sans-serif';">   ||
 * <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Begin the lesson by re-introducing the pegs activity in lesson 1 in order to understand that there can be a number of combinations in a given chance activity. Discuss all the possible combinations by visually displaying the pegs and working out various strategies to calculate the number of combinations, (this could be done through multiplication or making a list). Change colour/amount of pegs and have students volunteer to work out the new combinations. In small groups, students are told that they will be given three t-shirts and two pairs of trousers and are asked to predict how many different combinations of clothes they could make from them. For extension work, go to IXL Math at <span style="font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">[] <span style="color: blue; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  ||  <span style="font-family: 'Century Gothic','sans-serif';">   ||