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Models for Place Value Base-ten models and the ten-makes-one relationship Groupable models Pregrouped or trading models Nonproportional models Copyright © Allyn and Bacon 2010

Building Concepts Through Games/Activities Build a Shape Race to 100 Place It

Word Problems 1.Read 1.Read the entire problem. who 2.Decide who is involved in the problem. what 3.Decide what is involved in the problem. 4.Draw 4.Draw unit bars of equal length. 5.Read 5.Read each sentence, one at a time. question mark 6.Put the question mark in place. 7.Work computation 7.Work computation to the side or underneath. 8.Answe 8.Answer the question in a complete sentence or longer response. © Bob Hogan

Grade 2 Tony and Phillip started out with an equal amount of money. If Tony lost $12 and Phillip gained $26, how much more money did Phillip have than Tony in the end? Tony’s money Phillip’s money

Grade 2 Tony and Phillip started out with an equal amount of money. If Tony lost $12 and Phillip gained $26, how much more money did Phillip have than Tony in the end? Tony’s money Phillip’s money =38 Phillip had $38 more than Tony in the end. ?

Grade 3 Kelly had 4 times as many stickers as Billy. If they had 75 stickers altogether, how many stickers did Kelly have? Kelly Stickers Billy Stickers

Grade 3 Kelly had 4 times as many stickers as Billy. If they had 75 stickers altogether, how many stickers did Kelly have? ? Kelly Stickers Billy Stickers 75

Grade 3 Kelly had 4 times as many stickers as Billy. If they had 75 stickers altogether, how many stickers did Kelly have? Kelly Stickers Billy Stickers 15 ? (60) 75 Kelly had 60 stickers.

Grade 4 Three-fifths of the students in the class have brown eyes. There are 7 more students with brown eyes than without brown eyes. How many students are in the class?

Grade 4 Three-fifths of the students in the class have brown eyes. There are 7 more students with brown eyes than without brown eyes. How many students are in the class? Students with brown eyes Students with other eyes

Grade 4 Three-fifths of the students in the class have brown eyes. There are 7 more students with brown eyes than without brown eyes. How many students are in the class? Students with brown eyes Students with other eyes ?

Grade 4 Three-fifths of the students in the class have brown eyes. There are 7 more students with brown eyes than without brown eyes. How many students are in the class? Students with brown eyes Students with other eyes ?

Grade 4 Three-fifths of the students in the class have brown eyes. There are 7 more students with brown eyes than without brown eyes. How many students are in the class? Students with brown eyes Students with other eyes ? 7 x 5 = 35 There are 35 students in the class.

Grade 5 Ali paints a wall red, green, and blue in the ratio 2:3:5. If she uses 24 gallons of blue and green paint, how many gallons of paint did she use in all?

Grade 5 Ali paints a wall red, green, and blue in the ratio 2:3:5. If she uses 24 gallons of blue and green paint, how many gallons of paint did she use in all? Ali’s red wall Ali’s green wall Ali’s blue wall ?

Grade 5 Ali paints a wall red, green, and blue in the ratio 2:3:5. If she uses 24 gallons of blue and green paint, how many gallons of paint did she use in all? Ali’s red wall Ali’s green wall Ali’s blue wall ? 24 3 x 10 = 30 Ali used 30 gallons of paint in all.

Problem of the Week Let’s try it with model drawing! Mike has 3 times as many toys as Tom. If Mike gives 8 toys to Tom, the two children will have exactly the same amount. How many toys do they have altogether?