Grade 4 Unit 3: Multiplication and Division; Number ...

1 Grade 4, Page 1 Grade 4 unit 3: Multiplication and division ; Number sentences and Algebra Activity everyday mathematics Goal for Mathematical Practice Guiding Questions lesson 3-1 What s My Rule? Math Message Follow-Up (Teacher s lesson Guide, page 159) GMP Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others use. See also: GMP , GMP , GMP , GMP What do the numbers in the in column represent?* What do the numbers in the out column represent?* Reviewing Variations of the What s My Rule? Routines (Teacher s lesson Guide, page 160) GMP Use properties, rules, and shortcuts to solve problems.

2 See also: GMP , GMP , GMP , GMP How do you solve the problem when the rule is missing? What other rules do you use to solve math problems? lesson 3-2 Multiplication Facts Factors Pairs of Prime Numbers (Teacher s lesson Guide, pages 165 and 166) GMP Use mathematically tools correctly and efficiently. See also: GMP , GMP , GMP , GMP How could you use your Multiplication / division Facts Table or Fact Triangles to find factor pairs? How did you use the Factor Pairs of Prime Numbers table to identify prime numbers and composite numbers? Reviewing the Models of Multiplication (Teacher s lesson Guide, page 166) GMP Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others use.

3 See also: GMP , GMP How might thinking about what a Multiplication fact means help you figure out facts? Which Multiplication model makes the most sense to you? Why? Grade 4, Page 2 lesson 3-3 Multiplication Facts Practice Math Message Follow-Up (Teacher s lesson Guide, page 170) GMP Find, extend, analyze, and create patterns. See also: GMP , GMP , GMP What other patterns can you find in the Multiplication facts?* Why do we look for patterns in math? Administering a Multiplication Facts Practice Test (Teacher s lesson Guide, pages 170 and 171) GMP Apply mathematical ideas to real-world situations. See also: GMP , GMP Discuss with students the importance of memorizing Multiplication facts.

4 * When might you need to use your facts in real life? lesson 3-4 More Multiplication Facts Practice Math Message Follow-Up (Teacher s lesson Guide, page 176) GMP Be accurate when you count, measure, and calculate. See also: GMP How did you calculate the mean? Are the median and mean test scores fairly close to each other?* Recording and Graphing Individual Test Results (Teacher s lesson Guide, page 177) GMP Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others use. See also: GMP , GMP What do your one-minute and three minute scores on your 50-facts test tell you? What might you learn by graphing your scores over time?

5 lesson 3-5 Multiplication and division Math Message Follow-Up (Teacher s lesson Guide, page 181) GMP Connect mathematical ideas and representations to one another. See also: GMP , GMP How can these statements help you solve the original problem? What statements can be made about the second problem? Grade 4, Page 3 Using the Multiplication / division Facts Table for division (Teacher s lesson Guide, page 183) GMP Use mathematical tools correctly and efficiently. See also: GMP , GMP How can you use the Multiplication / division Facts Table to solve division problems? What other tools can you use to solve division problems? lesson 3-6 World Tour: Flying to Africa Examining the List of Countries and Regions (Teacher s lesson Guide, pages 187 and 188) GMP Use mathematical tools correctly and efficiently.

6 See also: GMP What kind of information can you learn from the Country Profile? How can the Student Reference Book support the World Tour? Completing the Route Map and Country Notes for Egypt (Teacher s lesson Guide, pages 188 and 189) GMP Apply mathematical ideas to real-world situations. See also: GMP , GMP , GMP Why might someone want to know the exchange rate for the Egyptian pound? Name other examples of using math in the real world. lesson 3-7 Finding Air Distances Finding the Air Distances between Cities (Teacher s lesson Guide, pages 193 and 194) GMP Use the level of precision you need for your problem. See also: GMP , GMP , GMP , GMP Why is it more accurate to calculate air distances based on measurements to the nearest 1/2 inch instead of to the nearest inch?

7 Why is the air distance between Chicago and Beijing an estimated distance? Finding More Air Distances between Cities (Teacher s lesson Guide, pages 194 and 195) GMP Estimate and use what you know to check the answers you find using tools. See also: GMP , GMP , GMP , GMP , GMP How accurate were your guesses? Why is it important to check your estimates? Grade 4, Page 4 lesson 3-8 A Guide for Solving Number Stories Math Message Follow-Up (Teacher s lesson Guide, pages 199 and 200) GMP Make a plan for solving your problem. See also: GMP , GMP , GMP , GMP , GMP Ask for suggestions on how to solve the problem.* Compare different plans for solving the problem.

8 What can you learn from examining different plans? Solving Number Stories about Air Distances (Teacher s lesson Guide, page 201) GMP Check whether your solution makes sense. See also: GMP , GMP , GMP , GMP , GMP , GMP , GMP How could you check whether your solutions make sense? Why should we check whether our answers make sense? lesson 3-9 True or False Number sentences Exploring the Meaning of Number Sentence (Teacher s lesson Guide, pages 204 and 205) GMP Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects. See also: GMP , GMP , GMP The sum of five and eight is equal to thirteen.

9 Ask whether there is another way to write this sentence.* Why do we use mathematical symbols instead of words? Determining Whether a Number Sentence Is True or False (Teacher s lesson Guide, page 205) GMP Use patterns and structures to solve problems. See also: GMP , GMP , GMP Refer to this Number sentence: 716 487 = 616 487 Can you tell whether it is true or false before doing the subtractions?* How? What digits in each Number helped you decide? 4,684 + 182 > 4,694 + 482 Can you tell whether it is true or false before doing the additions?* How? What digits in each Number helped you decide? Grade 4, Page 5 lesson 3-10 Parentheses in Number sentences Math Message Follow-Up (Teacher s lesson Guide, pages 209 and 210) GMP Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects you and others use.

10 See also: GMP , GMP , GMP , GMP In a Number sentence, what do parentheses indicate? What other symbols do you know how to use in math? Using Parentheses in Number sentences (Teacher s lesson Guide, pages 210 and 211) GMP Be accurate when you count, measure, and calculate. See also: GMP , GMP , GMP , GMP , GMP , GMP How can you make sure you inserted parentheses correctly? What might happen if your parentheses were not in the right place? lesson 3-11 Open sentences Introducing the Broken Calculator Activity (Teacher s lesson Guide, pages 216 and 217) GMP Try different approaches when your problem is hard. See also: GMP , GMP , GMP , GMP , GMP , GMP , GMP How does solving these problems change when one key is broken on your calculator?