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Home Connections For use after Unit Six, Session 2.NAMEDATEHome Connection 42 H WorksheetThe Relationship between Multiplication & DivisionWrite a multiplication and division equation to go with each picture.PictureMultiplication EquationDivision Equation3 x 4 1212 3 4example1234151515151055Write a story problem to go with one of the equations above. The Math Learning CenterBridges in Mathematics125

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Home Connections For use after Unit Six, Session 4.NAMEDATEHome Connection 43 H WorksheetFraction RelationshipsWrite , , or on the line between each pair of fractions to show whether oneis greater than the other or whether they are equal. Then make sketches on thegeoboard models to prove your statement is true. The first one is done for you asan example.Remember that means less than, for example 5 6. Also, means greaterthan, for example 6 5. , , or Sketch of Fractionsexample34 581418138121428123162412234(Continued on back.) The Math Learning CenterBridges in Mathematics127

Home ConnectionsHome Connection 43 Worksheet (cont.) , , or Sketch of Fractions5121678816241451634111618146789128Bridges in Mathematics The Math Learning Center

Home Connections For use after Unit Six, Session 6.NAMEDATEHome Connection 44 H WorksheetMore About Cups, Quarts & Gallons1It takes 4 cups to fill a quart and 4quarts to fill a gallon. This system ofmeasuring works in 4’s, just like thebase four pieces. Draw a line fromeach of the containers below to thebase four piece that best represents it.1 cupbase four mat2If you look closely at a measuringcup like the one below, you’ll see that itis divided into 8 smaller sections calledfluid ounces. There are 8 fluid ouncesin a cup.aHow many fluid ounces are ina quart?bWrite an equation to show how yougot your answer in part a.1 quart (4 cups)base four unitcHow many fluid ounces are ina gallon?dWrite an equation to show how yougot your answer in part c.1 gallon (16 cups or 4 quarts) base four strip The Math Learning Center(Continued on back.)Bridges in Mathematics129

Home ConnectionsHome Connection 44 Worksheet (cont.)In addition to cups, quarts, and gallons, people also use a unit calleda pint to measure volume. A pint isequal to 2 cups.Use this information to answer the following questions. For each one, writean equation to show how you got youranswer.3aHow many fluid ounces are in apint?6aSarah and her mom were makingfruit punch for the scout troop. Therecipe called for 6 pints of orange juice,but they could only find quarts of orangejuice at the store. How many quarts oforange juice did they need to get?bWrite an equation to show how yougot the answer.bWrite an equation to show how yougot the answer.4aHow many pints are in a quart?7How many 4-fluid-ounce servingsare in a half-gallon of milk? Show yourwork.bWrite an equation to show how yougot the answer.5aHow many pints are in a gallon?There are 4-fluid-ounce servings in 12 gallon of milk.bWrite an equation to show how yougot the answer.130Bridges in Mathematics The Math Learning Center

Home Connections For use after Unit Six, Session 8.NAMEDATEHome Connection 45 H WorksheetFractions & Base FourIf this is 1 unit ofarea,what is the area of this figure?Show your work here.Areaexample14218 sq. units4 2 1 1 8123Bobby and Sue bought a can of paint so they could paint their bicycles thesame color as their favorite football team’s uniforms. Bobby ended up using 35 of1the can because he spilled some. Sue used 5 of the can.aHow much of the can of paint did Bobby and Sue use altogether?bHow much of the can of paint was left over for their little brother Max to useto paint his tricycle?(Continued on back.) The Math Learning CenterBridges in Mathematics131

Home ConnectionsHome Connection 45 Worksheet (cont.)4Write the name of each collection in base four notation. The first one has beendone for you as an example.CollectionBase Four Nameexample1 1 2 3fourab132Bridges in Mathematics The Math Learning Center

Home Connections For use after Unit Six, Session 13.NAMEDATEHome Connection 46 H WorksheetDecimals Are Fractions1This large square represents 1 unit.aHow many tenths are shaded?bHow many hundredths are shaded?2Write the fraction name and the decimal name for each of the collections below. The first two are done as examples. As in the picture above, the large squarerepresents 1 unit. The strip represents 1 tenth, and the smallest square represents 1 ion Decimalc12101.2d1151001.15aebf(Continued on back.) The Math Learning CenterBridges in Mathematics133

Home ConnectionsHome Connection 46 Worksheet (cont.)3Now draw a quick sketch of each of the fractions below and write its decimalname. The first two are done as examples.FractionSketchDecimalexample2 1032.3example63 1003.06a1 109b3 108c33 100(Continued on next page.)134Bridges in Mathematics The Math Learning Center

Home ConnectionsNAMEDATEHome Connection 46 Worksheet (cont.)FractionSketchDecimald2 107e1 102f201 100g2 105h502 100 The Math Learning CenterBridges in Mathematics135

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Home Connections For use after Unit Six, Session 14.NAMEDATEHome Connection 47 H ActivityNOTE TO FAMILIESWe are midway through a unit on fractions and decimals. Over the next few weeks, students will continueto develop their skills at reading, writing, and understanding decimals. They will also investigate the connections between money, fractions, and decimals. In today’s game, visual models are used to help students become more comfortable interpreting and comparing money amounts, decimals, and fractions.Money, Fraction & Decimal Showdown1Label each of the cards on the 5 attached sheets. (Some of the cards onthe first sheet have already been labeled as examples.) Then cut them out,mix them thoroughly, and place themin a stack face down.2Take turns drawing a card and reporting the money amount, fraction,or decimal you see. Work with yourpartner to compare the amounts onthe two cards: which is worth moreand how do you know? The personwhose card is worth more gets to takeboth cards. If the two cards are worththe same amount, both players shouldeach draw another card. The playerwhose card is worth more this timegets to take all 4 cards.3Continue until there are no cards left.The player with the most cards wins.4Shuffle the cards and play again.5After you have played the gameat least twice, shuffle the cards welland then pick 14 of them. Put them inorder from smallest to greatest and listthem in that order on the lines below.If some of them are equal in value,1like 0.50 and 2 , put them on twolines, one below the other. The Math Learning CenterBridges in Mathematics137

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Home ConnectionsHome Connection 47 Activity (cont.)Money, Fraction & Decimal Showdown Cards page 1 of 5Label each card and then cut out all the cards.1.25HC 47 Money, Fraction & Decimal Showdown Card12HC 47 Money, Fraction & Decimal Showdown Card0.3 1.30HC 47 Money, Fraction & Decimal Showdown Card 0.25HC 47 Money, Fraction & Decimal Showdown Card0.05HC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown Card The Math Learning CenterBridges in Mathematics139

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Home ConnectionsHome Connection 47 Activity (cont.)Money, Fraction & Decimal Showdown Cards page 2 of 5Label each card and then cut out all the cards. 0.06HC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown Card The Math Learning CenterBridges in Mathematics141

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Home ConnectionsHome Connection 47 Activity (cont.)Money, Fraction & Decimal Showdown Cards page 3 of 5Label each card and then cut out all the cards.HC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown Card The Math Learning CenterBridges in Mathematics143

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Home ConnectionsHome Connection 47 Activity (cont.)Money, Fraction & Decimal Showdown Cards page 4 of 5Label each card and then cut out all the cards.HC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown Card The Math Learning CenterBridges in Mathematics145

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Home ConnectionsHome Connection 47 Activity (cont.)Money, Fraction & Decimal Showdown Cards page 5 of 5Label each card and then cut out all the cards.HC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown CardHC 47 Money, Fraction & Decimal Showdown Card The Math Learning CenterBridges in Mathematics147

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Home Connections For use after Unit Six, Session 15.NAMEDATEHome Connection 48 H WorksheetAdding Money & DecimalsOn this page, you will be sketching money value pieces. Use the key below as aguide for your quick sketches. 1.001 0.50 0.25 0.10 0.05 0.01For each amount below, sketch the collection in money value pieces.AmountYour Sketchexample 4.36a 1.25b 0.81c 5.40d 2.07e 0.55f 3.96(Continued on back.) The Math Learning CenterBridges in Mathematics149

Home ConnectionsHome Connection 48 Worksheet (cont.)2Mike bought hot chocolate for his little sister, his father, and himself. He gota small cup for his sister for 2.05, a large cup for his dad for 2.75, and a medium cup for himself for 2.70. How much did Mike pay for the three drinks? Usewords, numbers, and pictures to explain how you got your answer.CHALLENGE3Circle two of the amounts below. 5.40a 0.41 0.55 1.25 2.07 3.46Write a story problem involving those amounts.bDraw a quick sketch showing how you would solve your problem using baseten or money value pieces.150Bridges in Mathematics The Math Learning Center

Home Connections For use after Unit Six, Session 17.NAMEDATEHome Connection 49 H WorksheetDecimal Problems1Use each number below only onceto fill in the blanks in the story so thatit makes sense.3The hiking trail was miles long.Dario wanted to buy a used videogame. Last week, the video game storehad a copy for sale for 8.95. WhenDario came back this week, the storehad a different copy of the same gamepriced at 9.65.After hiking miles, more thana16.565.28.28halfway to the end of the trail, Whit-How much more does this copy of thegame cost than the one from last week?ney stopped to have lunch. When shegot to the end of the trail, Whitneyturned around and hiked the wholeway back, a total of miles.bIf Dario pays for the game this weekwith a 10 bill, how much change willhe get back?2Insert a decimal point in each number to make the equation true.39 395 785(Continued on back.) The Math Learning CenterBridges in Mathematics151