Fractions+and+Decimals+sem+1

|| QT Elements Models, compares and represents commonly used fractions and decimals, adds and subtracts decimals to two decimal places, and interprets everyday percentages. ** Indicators: **Students: * Find equivalence between halves, quarters and eighths of an object or collection of objects * Add or subtract two decimal numbers with up to two decimal places * Relate fractions, decimals and percentages to one another || ** Main Idea: Students model, compare and represent fractions with denominators 2, 4 and 8 **  Students form groups of 8 and share a piece of A4 paper so that each person gets the same amount and there isn’t left over. Each group discusses how they shared the paper and names the pieces ‘eighths’. Students regroup into groups of 4, and then into groups of 2, and repeat the activity, naming the pieces ‘quarters’ or ‘’halves’. Students compare the relative sizes of the fractions and then order them according to their size. Students record their findings.  ** Extra Activity- Worksheet- Fraction Names / Equivalent Fractions ** ||   ||  ** Main Idea: Students relate like fractions that have been represented in different ways **  <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Students are provided with four sets of cards representing the same fractions. The first set has the fractions represented in fraction notation, the second set has the fractions represented in words, the third set has the fractions represented as shaded regions and the fourth set has the fractions represented as the shaded part of a collection. The cards are randomly distributed to students who must find other students with the same fraction represented. Students then place the sets of fraction cards in order. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Extension- Have the students create cards along similar lines using the spare blanks. ** || =      = || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Main Idea- Students add and subtract decimals with the same number of decimal places (to 2 decimal places) ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">The following activity should be done depending on the ability level of the students. It can be done as one or the other or / as a progression from one activity to the next. ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Option 1 <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Using BLM 54- Decimal Cards Adding / Subtracting to One Decimal Place. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Have students work in pairs. Student A flips over 2 cards and either adds or subtracts them depending on the teacher’s instructions. Using a calculator Student B checks the answer. Roles are then reversed. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Option 2 <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">In pairs, students are provided with some cards of paper, which represents a deck of cards. Tens and picture cards are not included with the Aces representing 1 and the Jokers representing 0. Student A flips over 2 cards and places them together to form a decimal to two decimal places. Student B flips over 2 cards and places them together to form a decimal to two decimal places. Student A copies down the decimals and uses a written algorithm to find their sum. Student B checks Student A’s answer. Students swap roles and the activity is repeated. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Variation: The activity is done to involve subtraction of decimals to two decimal places. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Adding and Subtracting Decimals Card Game Proforma required. You may want to photocopy onto thin card or enlarge onto coloured A3. ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Extension / Fast Finishers ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Cross Decimals Worksheet || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Main Idea- Students apply their knowledge of fractions, decimals and percentages to relate various examples of each to one another ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Students work in groups of 4 to create a set of 40 playing cards representing hundredths, using as many names as possible eg. 45 hundredths, 45 out of one hundred, 45/100, 0.45 <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Students use the cards to play Fish or Concentration. When students are finished they can swap groups or swap playing cards as each groups cards will be different. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Card Game Proforma required. You may want to enlarge onto A3. Important for the students to have 10 examples of each of the different types of representations. ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">As an end to the Unit of lessons have students create a Fractions Poster either prior to the Assessment or after it. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Here, the students chose a fraction and create a poster, writing everything they know about that fraction. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">See page 100 of “Sample Units of Work” for an example. <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  || ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Additional Problem Solving Activities to use during the Unit ** ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">* Not the Lot ** ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">* Pizza Heaven ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;"> || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">  ||
 * ** <span style="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">Term 2, 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="font-family: 'Century Gothic','sans-serif'; font-size: 14pt;">10   ||  <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;"> NS 2.4
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 1 **  || = __<span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt; text-decoration: none; textunderline: none;">Register <span style="font-family: 'Century Gothic','sans-serif';"> __ = ||
 * <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">**Sharing**
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 2 **<span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">   || = __<span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt; text-decoration: none; textunderline: none;">Register  __ = ||
 * <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">**Comparing and Ordering**
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 3 **<span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">   || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Register  ||
 * ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Adding and Subtracting Decimals **
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Lesson 4 **<span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">   || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Register  ||
 * ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Representation- Card Game **
 * ** <span style="font-family: 'Century Gothic','sans-serif';">Activity 5 **<span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">   || <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Register  ||
 * ** <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">Fraction Poster + Assessment **
 * <span style="color: black; font-family: 'Century Gothic','sans-serif'; font-size: 9pt;">