Parts and Wholes. In a tangram. 2 small triangles (S) cover a medium triangle (M) 2 small triangles (S) cover a square (SQ)

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1 Parts and Wholes. L P S SQ M In a tangram small triangles (S) cover a medium triangle (M) small triangles (S) cover a square (SQ) L S small triangles (S) cover a parallelogram (P) small triangles (S) cover a large triangle (L) What fraction of each shape is covered by a single small triangle? a) b) c) d) e) f). What fraction of the shape is shaded? Explain how you know. a) b) c) d). What fraction of the trapezoid is covered by a single small triangle? Show your work.. If = red and = blue, approximately what fraction of each flag is shaded red? Explain. a) b) c) d) COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION F- Blackline Master Number and Operations Fractions Teacher s Guide for AP Book.

2 Fraction Strips 8 COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION Blackline Master Number and Operations Fractions Teacher s Guide for AP Book. F-

3 Investigating Mixed Numbers and Improper Fractions () NOTE: The blocks shown here are not actual size! Euclid s bakery sells hexagonal pies. They sell pieces shaped like triangles, rhombuses, and trapezoids. hexagon triangle rhombus trapezoid. a) Shade pies. b) How many pieces did you shade? c) Write an improper fraction from the amount of pie shade.. Make a model of the pies below with pattern blocks. (Place the smaller shapes on top of the hexagons). Then write a mixed number and improper fraction for each group of pies. a) b) c) Mixed Number: Mixed Number: Mixed Number: Improper Fraction: Improper Fraction: Improper Fraction:. Use the hexagon as the whole pie. Use the triangles, rhombuses, and trapezoids as the pieces. Make a pattern block model of the fractions below. Then sketch your models on the grid. a) b) c) e) g) d) f) h) COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION F-8 Blackline Master Number and Operations Fractions Teacher s Guide for AP Book.

4 Investigating Mixed Numbers and Improper Fractions (). Using the trapezoid as the whole pie, and triangles as the pieces, make a pattern block model of the fractions. Sketch your models on the grid. The first one is done for you. a) b) c) d) Draw sketches (using the hexagon as the whole) to answer the questions.. Which fraction is greater: or 9?. Which fraction is greater: or?. Draw a picture to show. 8. How much larger than a whole pie is of a pie? 9. How much larger than a whole is?. Crystal ate of a pie each day for days in a row. How much did she eat altogether? COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION. Ahmed ate pies during the week.. Alice ate pies in January. Jill ate of a pie each day for a week. How many third-sized pieces did she eat? Who ate more pie? Blackline Master Number and Operations Fractions Teacher s Guide for AP Book. F-9

5 Pattern Blocks Triangles Squares Rhombuses Trapezoids Hexagons COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION F-8 Blackline Master Number and Operations Fractions Teacher s Guide for AP Book.

6 Equivalent Fractions Memory () 9 COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION Blackline Master Number and Operations Fractions Teacher s Guide for AP Book. F-8

7 Equivalent Fractions Memory () COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION F-8 Blackline Master Number and Operations Fractions Teacher s Guide for AP Book.

8 Equivalent Fractions Memory () 9 9 COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION 8 8 Blackline Master Number and Operations Fractions Teacher s Guide for AP Book. F-8

9 Organized Lists Many problems in mathematics and science have more than one solution. Some problems involve two quantities. To make sure you don t miss any possible solutions, list the values of one of the quantities in increasing order.. Fill in the number of pennies, nickels, dimes, or quarters you need to make each amount. a) Make b) Make c) Make nickels pennies dimes pennies nickels pennies d) Make e) Make f) Make 8 dimes pennies quarters pennies quarters pennies. Ben wants to find all the ways he can make using quarters and nickels. He lists the number of quarters in increasing order. Why did he stop at quarters? quarters nickels. Make a chart to show all the ways you can make the given amount. a) 9 using dimes and nickels b) using quarters and dimes. Alicia wants to find all the ways she can make using quarters quarters and dimes. Which entry in her chart won t work? Put an in the dimes column for that row.. Make a chart to show all the ways to make 8 using quarters and dimes. dimes COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION F-8 Blackline Master Number and Operations Fractions Teacher s Guide for AP Book.

10 Always, Sometimes, or Never True (Numbers) A If you multiply a three-digit number by a one-digit number, the answer will be a three-digit number. D If you divide a number by itself the answer will be. B If you subtract a three-digit number from 999 you will not have to regroup. E The product of and a number is. C The product of two numbers is greater than the sum. F Mixed numbers are larger than improper fractions. G The product of two even numbers is an even number J When you round to the nearest thousands place, only the thousands digit changes. M Five times a number is even. H The product of two odd numbers is an odd number. K When you divide, the remainder is less than the number you are dividing by. N Improper fractions are greater than. I When you divide an even number by, the remainder is. L To multiply a fraction by a whole number, you multiply the numerator and denominator by the number. O If you have two fractions, the one with the smaller denominator is the larger fraction.. Choose a statement from the chart above and say whether it is always true, sometimes true, or never true. Give reasons for your answer. What statement did you choose? Statement Letter This statement is Explain: Always True Sometimes True Never True COPYRIGHT JUMP MATH: TO BE COPIED. CC EDITION. Choose a statement that is sometimes true, and reword it so that it is always true. What statement did you choose? Statement Letter Your reworded statement:. Repeat Questions and with different statements. Blackline Master Number and Operations Fractions Teacher s Guide for AP Book. F-8

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