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* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
All Standards Answer Keys and Standard Checklist Included! The first 30 pages contain standards in all 5 domains, grouped this way: The last ten pages contain only Number and Operation Skills. Those domains are heavy in the standards so I felt it was necessary to devote more review time specifically to those domains to ensure all standards are reviewed an equal amount of time. Those pages are grouped this way: 2 The skills are grouped in each box in this manner. Operations and Algebraic Thinking Skills Numbers and Operations: Base Ten Skills Numbers and Operations: Fractions Skills Measurement and Data Skills Geometry Skills Name: ____________________________________ Solve: 2 + (6 -3) = ______ (10 x 2) + 24= ______ (7+2) x (9- 4) = _____ Solve: 16 x1 = ______ 16x10 = ______ 16x100 = ______ 16x 1,000= ______ Date: _____________ 7 + 9 x 10= ______ What’s the pattern? ________________________ _____________________ _____________________ _____________ Solve: ½+¼= ¾+¼= What is the difference between the two above problems? __________________________________ Convert the Measurements: 1 foot = _____ inches 1 mile = ______ feet 3 feet = _____ yard ______ inches = 1 yard Circle the shapes that are quadrilaterals. 1 Name: ____________________________________ Date: _____________ Write a numerical expression for the below problems and solve. Six times three __________________________ Fourteen divided by two ____________________ Add twenty and eleven _____________________ Solve;: 23x1 = ______ 23x101 = ______ 23x102 = ______ 23x103= ______ What’s the pattern? ________________________ _____________________ _____________________ _____________ Solve: James has 16 balloons. ¼ of his balloons are red. How many red balloons does he have? _______________ Solve: Jamal has 24 inches of yarn. How many feet of yarn does he have? ________ ft. Ricardo has ½ foot of yarn. How many inches does he have? _______ inches. Label the types of triangles by their angles. 2 Name: ____________________________________ Date: _____________ Complete the patterns: 2, 4, 6, ____, ____, ____, ____, ____, ____ 80, 70, 60, ____, ____, ____, ____, ____ 5, 10, 20, ____, ____, ____, ____, ____ Round each decimal to the nearest tenth. 3.785______________________ .12 ________________________ 1.93________________________ Solve: Samantha had 8 balloons. Jacob has ½ as many. How many does Jacob have? _____________________ Convert the measurements. 1 pint = ____ cups 1 pint = ____ fluid ounces 1 quart = ____ cups 1 gallon = ____quarts 1 quart = ____ pints 1 gallon = ____ cups Name four quadrilaterals. ______________________ _________________ _________________ _________________ 3 Name: ____________________________________ Date: _____________ Write a numerical expression for the below problems and solve. Divide 144 by 12 ______________________________ Multiply 7 by 10 ______________________________ Subtract 10 from 20 __________________________ Compare the decimals using >, <, or =. 2.95 _____ 2.949 3.75 _____ 3.8 .98 _____ .980 .856 ____.8561 1.76 ____ 2 3.15 ____ 3.2 Name two equivalent fractions for each fraction listed below. 2/4 ____________1/3 ____________1/10____________ Solve: If there are 16 cups in 1 gallon, how many cups are there in 3 gallons? ________________ 5 gallons? ________________ Describe the following shapes: square _____________________________________________ rectangle __________________________________________ 4 Name: ____________________________________ Date: _____________ Write numerical expressions for the problems and solve. Add 12 and 6, then divide by 2 ___________________ Subtract 30 from 40, then multiply by 3 ____________ Add 5 and 25, then divide by 10 __________________ Write the place value of the underlined digit. 1.36 _____________________________________ 2.196 ____________________________________ 8.97 _____________________________________ 11.5699 ___________________________________ Solve: Jessica lost some of her money. She found 3/6 of it. What fraction of her money is still missing? _______ Solve: If there are 16 ounces in a pound and a baby weighs 10 pounds, how many ounces does he weigh? __________ ounces Name the characteristics a shape has to have to be defined as the following: Quadrilateral ________________________________________ Triangle _____________________________________________ Square ______________________________________________ 5 Name: ____________________________________ Date: _____________ Solve each problem using the order of operations. 10 x (6 ÷ 2)= ______ 4 + 5 x 3=________ 30 ÷ 3 + (6x3)= ______ 10 x 2÷ 3= _______ Solve: 4.6x1 = ______ 4.6x101 = ______ 4.6x102 = ______ 4.6x103= ______ What happens to the decimal point? ________________________ _____________________ _____________________ _____________ Solve: 3/4 + 4/4 = ___________ 1 1/3 + 1/3 = ______ 3/6 – 3/6 = ___________ 10/5 – 5/5 = _______ Record the data on a line plot. 1, 3, 1, 1, 2, 2, 3, 3, 4, 5, 4, 3, 1, 2 Name the triangle based on the information provided. A triangle with 1 right angle. _____________________________ A triangle with all equal sides. ___________________________ A triangle with no equal sides. ____________________________ 6 Name: ____________________________________ Date: _____________ Complete the patterns: 15, 30, 45, ____, ____, ____, ____, ____, 4, 8, 16, ____, ____, ____, ____, ____ 3,6,9, ____, ____, ____, ____, ____ Write the place value of the underlined digit. 1.65 ____________________________ 31.789 ____________________________ .8695 ____________________________ Solve: 1 1/8 + 1/8= ________ 2 1/4 + 1/2= ________ 1 2/10 + 1/10= ________ 2 1/6 + 1/3= _________ Solve: Jake has two gallons of juice. How many cups does he have? ___________ cups Sarah has 2 feet of string. How many inches does she have? _____________ inches? Define each type of triangle. Scalene triangle ___________________________________ Isosceles triangle __________________________________ Equilateral triangle ________________________________ 7 Name: ____________________________________ Date: _____________ Write a numerical expression for the below problems and solve. Divide 81 by 9 ______________________________ Multiply 22 by 10 ____________________________ Subtract 186 from 200 _______________________ Write each number in word form: 3,978,206 __________________________ 63,011 _____________________________ 789,175 ___________________________ Solve 1 – 1/3= ___________ 2 – 4/6= ___________ 1 - 3/9= ______________ 2 - 1/2= _____________ Record the data on a line plot. 20, 17, 20, 17, 18, 17, 20, 18, 16 Decide if each statement is true or false and explain. All rectangles are quadrilaterals. ________________________________________ _________________________________________________________________________ Every shape is some type of quadrilateral. ________________________________ __________________________________________________________________________ 8 Name: ____________________________________ Date: _____________ Write the numerical expressions in words. 60 ÷ 6______________________________________ 3 x 15 _____________________________________ (6 + 3) x 9 __________________________________ Write the place value of the underlined digit. 9.789 ______________________________________ .01568 _____________________________________ 3.34 _______________________________________ 7.845 ______________________________________ Solve: 1/2 + 1/4= ______________ 3/3 + 1/4= ________________ 3/10 – 1/20= ____________ 2/3 – 1/6=________________ Convert the measurements. 1 kilometer = __________ meters 1 meter = ___________ centimeters 1 centimeter= ___________ millimeters Define each angle from its measurements. 90 degrees ________________________________ 106 degrees_________________________________ 87 degrees_____________________________________ 9 Name: ____________________________________ Date: _____________ 10 Complete the patterns for x and y. X 10 Y 30 10 50 20 30 Write the numbers in expanded form: 685_______________________________________ 1,495______________________________________ 152,018____________________________________ Solve: 3.65 + 1.19 = 1.98 - .86= 4.23 + 1.95 = 11.83 – 8.98= Record the data on a line plot. 1/2, 2/4, 1/2,3/4, 1/2, 2/4, 3/4 Name the shapes. Name: ____________________________________ Date: _____________ 11 Describe the different patterns in numbers x and y. X 2 4 6 8 10 12 Y 12 10 8 6 4 2 685 ÷ 10= ________ 685 ÷ 100= _______ 685 ÷ 1,000=______ 685 ÷ 10,000=_____ What steps do you take to solve these problems? _______________________________ _______________________________ _______________________________ Solve: ¾ x ½= _________________________________ ½ x ½= _________________________________ Complete the chart with the correct conversions. 1 cup ___ fluid ounces 1 pint ___ cups 1 gallon ___ quarts Plot these points on your graph paper. (6, 7) (6, 3) (6, 8) (8, 4) (8, 2) (8, 6) Name: ____________________________________ Date: _____________ 12 Solve each problem. {[6 + (8 +4)] – 3}= __________ [6x3 + (3 x 1)]= __________ Write each number in word form: 16.985 _____________________________ .006_______________________________ .238 _______________________________ Solve 1/6 x 1/5 = _________________________________ 2/8 x 3/4= _________________________________ Record the data on a line plot. 1, ½, 1, ¼, ¾, ½ , ¾ , 1, ¼ On the back of this paper, create a hierarchy using these shapes. Triangles, Acute Triangle, Polygon, Right Triangle, Obtuse Triangle Name: ____________________________________ Date: _____________ 13 Write the numerical expressions in words. (10 - 1) ÷ 3 _________________________________ 10 + (5 -3)___________________________________ (7 + 3) x 5 __________________________________ Write the decimals in expanded form: .685 _________________________________________________ 1.78 _________________________________________________ 2.02 _________________________________________________ Solve: ¾ x ⅛= __________________________________ ¼ x ¼= _________________________________________ Solve: Jason is running a 4 mile race . How many feet is the race? _____________ feet Define each shape based on its definitions. Shape with all parallel sides. ____________________________ Shape with all equal sides. ____________________________ Shape with three sides and three angles. ___________ Name: ____________________________________ Date: _____________ 14 Add parenthesis to make these expressions true. 4 x 2 + 5 = 28 ________________________________ 10 ÷ 1 x 5 = 2 ________________________________ 25 – 10 x 2 = 30 ______________________________ Solve: 615 x 35= 315 x 16= Without solving, circle the problem that would have the highest product. Tell how you know. 20 x 10 or 30 x 10 __________________________________ 15 x 4 or 15 x 6 ____________________________________ 12 x 3 or 10 x 2 ____________________________________ Find the volume of the rectangular prism. 8 ft. 14 ft. Name the shapes. 2 ft. ______________ Date: _____________ 15 Name: ____________________________________ What is the relationship between the numbers that are x and the numbers that are y? X 2 4 6 8 10 12 Y 4 8 12 16 20 24 What direction does the decimal point move? Right or left? How do you know? _______________________________ _______________________________ _______________________________ Solve. Use fraction models. 3.13 ÷ 10=________ 3.13 ÷ 100=_______ 3.13 ÷ 1,000=______ 3.13 ÷ 10,000=_____ ½ ÷ 4= ¼ ÷ 2= Complete the chart with the correct conversions. 1 mile ___feet 1 foot ___ inches 1 yard ___ feet Plot these points on your graph paper. Label them with the matching letter. X (1, 3) Y (2, 5) z (4, 5) A (3, 7) B (2, 9) C (1, 11) Name: ____________________________________ Date: _____________ 16 Solve. {[2 + (11 + 8)] – 2}= [4 x 2 + (5 + 1)]= __________ __________ Solve. Show your work. 366 ÷ 6= 515 ÷ 5= 412÷ 4= Solve. Use the models to help you get started. 4 ÷ ½= 3 ÷ ¼= Record the data on a line plot. 1/8, 2/4, 1/4, 3/8, 1/8, 2/4, 1/4, 3/8, 1/4 On the back of this paper, create a hierarchy using these shapes. Quadrilaterals, Rectangles, Polygons, Squares, Parallelograms Name: ____________________________________ Date: _____________ 17 Write the numerical expressions in words. (10 - 1) ÷ 3 _________________________________ 10 + (5 -3)___________________________________ (7 + 3) x 5 __________________________________ Round Round Round Round Round each decimal to the place indicated. to the to the to the to the nearest one. 2.985 ________________ nearest tenth. 5.235 ________________ nearest hundredth. 0.887 ___________ nearest thousandth. 0.3252 _________ Solve: 2/5 x 1/6 = ______________________________ 1/7 x 2/3=_____________________________________ Solve: A café has seven gallons of lemonade. How many quarts do they have? __________ quarts Graph the coordinates below on your graph paper. Draw the correct shape beside the coordinate. Square at (8, 2) Triangle at (5, 3) Trapezoid at (9, 1) Rhombus at (2, 8) Name: ____________________________________ Date: _____________ 18 Add parenthesis to make these expressions true. 4 x 2 + 10 = 48 _______________________________ 20 ÷ 2 x 5 = 2 ________________________________ 30 – 10 x 4 = 80 ______________________________ Solve: 615 x 35= 315 x 16= In each problem, tell whether the whole number factor will be smaller or larger than the product. Tell how you know. 10 x ½ ___________________________________________ 7 15 x 2 _________________________________________ Find the volume of the rectangular prism. 6 ft. 10 ft. ______________ 1 ft. Name the triangles from their descriptions. A triangle with only 2 sides of the same length. A triangle with all sides of the same length. A triangle with no sides the same length. Name: ____________________________________ Date: _____________ 19 What is the relationship between the numbers that are x and the numbers that are y? X 10 20 30 40 50 60 Y 1 2 3 4 5 6 5 ÷101=_________ 5÷ 102=_________ 5÷ 103=_________ 5÷ 104=_________ What is happening to the whole number as you are dividing? _______________________________ _______________________________ _______________________________ Solve. Use the fraction model. Mr. Swanson has ½ lb. of fudge to share with 6 students. What amount of fudge will each child get? Complete the chart with the correct conversions. 1 ton _______ pounds 1 pound ___ ounces 2 pounds ___ ounces Plot these points on your graph paper. Label them with the What do you matching letter. notice about A (3, 5) C (2, 5) E (1, 5) all the points? _______________ B (7, 5) D (6, 5) F (8, 5) _______________ Name: ____________________________________ Date: _____________ 20 Write a numerical expression for the following words. Add 7 and 10, then divide by 5. __________________ Subtract 5 from 15, then multiply 6. __________________ Multiply 4 and 6, then divide by 8. ____________________ Solve. Show your work. 315 × 26 = 410 × 63 = 276 × 19 = Solve. Use the models to help you get started. 6 ÷1 = 3 3÷½= The data represents how much of a pound of soil is in each bag. If the soil was redistributed into equal amounts, how much soil would be in each bag? Name each shape based on its description. A A A A 2 D shape with 8 sides. ___________________________________ 2 D shape with 5 sides. ___________________________________ 2 D shape with 6 sides. ___________________________________ 2 D shape with 4 sides. ___________________________________ Name: ____________________________________ Date: _____________ 21 Solve: (7- 1) ÷ 2=___________________________________ 2 × (10 - 8)=_________________________________ (2 + 8) x 9=__________________________________ Round each decimal to the place indicated. Round to the Round to the Round to the Round to the nearest one. 3.986____________________ nearest tenth. 1.99____________________ nearest hundredth. 0.129______________ nearest thousandth. 1.3655 ____________ Solve: 1/3 x 2/3 = ______________________________ 1/5 x 2/7=_____________________________________ Solve the 2 step problem. A student has 3 pounds of fudge. She eats 1 pound of it. How many ounces does she have left? __________ ounces True or False. Explain your reasoning. All squares are parallelograms, so all parallelograms are squares. ___________________________________________________________ ____________________________________________________________ All triangles are polygons. ____________________________________ ______________________________________________________________ Name: ____________________________________ Date: _____________ 22 Add parenthesis to make these expressions true. 4 x 3 + 8 = 44 ______________________________ 36 ÷ 1 x 6 = 6 ______________________________ 60 – 50 x 9 = 90 ______________________________ Solve: 364 ÷ 6= 499 ÷ 7= Solve: 1 – 3/5 = _______ 4/8 – 1/4 = _______ 5/8 – 1/4 = _______ 3/4 – 1/16 = ________ 3/4 + 1/2= _______ 3/8 +1/12 = ________ Find the volume of the rectangular prism. 9 cm. 22 cm. ______________ 5 cm. Name the triangles from their descriptions. A triangle with all acute angles. A triangle with 1 right angle. A triangle with 1 obtuse angle. Name: ____________________________________ Date: _____________ 23 What is the relationship between the numbers that are x and the numbers that are y? Graph the points on your graph paper. X 2 4 6 8 10 12 Y 1 2 3 4 5 6 Solve. Show all your work. 56 x 152= 48 x 325= Find the area of each rectangle. 2 ½ ft. 10 ft. 1 ½ in. 5 ½ in. Complete the chart with the correct conversions. 1 kilometer _______ meters 1 meter ___ centimeters 1 centimeter ___ millimeters Plot these points on your graph paper. Label them with the What do you matching letter. notice about A (2, 1) C (2, 3) E (2, 9) all the points? _______________ B (2, 5) D (2, 8) F (2, 2) _______________ Name: ____________________________________ Date: _____________ 24 Write a numerical expression for the following words. Find the sum of 10 and 12, then divide by 2._ __________ Multiply 6 and 3, then subtract 5 _____________________ Subtract 7 from 47, then divide by 10._________________ Solve. Show your work. 506 ÷ 11 = 546 ÷ 13 = 855 ÷ 45= Solve. Use the models to help you get started. 4 ÷1 = 4 2÷ ⅛= Look at the data. List out the amounts in order from greatest to least. Name each shape based on its description. A shape with 2 pairs of parallel lines. ________________________ A shape with 4 equal sides._________________________________ A shape with only 1 set of parallel lines. _____________________ A shape with opposite sides of equal length._________________ Name: ____________________________________ Date: _____________ 25 Solve: [ 16 – (3x2)] = ________________________________ { [6 + (1x3)] x [3 x (1x4)] } = __________________________________________ Round each decimal to the place indicated. Round to the Round to the Round to the Round to the nearest one. 19.98____________________ nearest tenth. 3.20____________________ nearest hundredth. 1.859______________ nearest thousandth. 3.5555____________ Solve: 1 ½ x 3= ______________________________ 2 ¾ x 4= _____________________________________ Solve the 2 step problem. A runner is running a 3 mile marathon. He has ran 2 miles already. How many feet does he have left to run? ___________ feet True or False. Explain your reasoning. All triangles contain acute angles._____________________________ ____________________________________________________________ A square is a polygon, so all polygons are squares.______________ ______________________________________________________________ Name: ____________________________________ Date: _____________ 26 Add parenthesis to make these expressions true. 36 ÷ 3 x 2 = 6_______________________________ 5 + 2 x 9 = 63_______________________________ 5 + 2 x 10 = 70 ______________________________ Solve. Show your work. 5.15 x 1.6= 7.98 x .36= Solve: A meat market has 68 pounds of meat to divide equally into 6 packs. He must use all the meat. How many pounds of meat will be in each pack? _________________________ A 2 layer cake has the following dimensions. Find the volume of the cake. 1st layer= L = 10 inches W= 5 inches H= 8 inches 2nd layer = L = 8 inches W= 3 inches H = 4 inches ___________ Create a hierarchy with the following shapes. Quadrilateral, Polygon, Rectangle, Parallelogram, Rhombus Name: ____________________________________ Date: _____________ 27 Fill in the chart using these rules. X and Y start at 0. X increased by 3, Y increased by 4. X Y Compare the decimals using >, <, or =. 0.223 ____ 0.3 0.115 _____ 0.1150 0.9 ____ 0.7156 3.69 ____ 3.70 .98 ____ 0.9 0.8 ____ 0.80 Find the area of each rectangle. 3 1/3 in. 1 ½ ft. 5 ½ ft. 6 1/4 in. Find the volume of the shape below. 3 in. 2 in. 3 in. 6 in. 8 in. What larger group do the following shapes belong to? Explain your reasoning. rectangles, parallelograms, squares, rhombus Name: ____________________________________ Date: _____________ 28 Graph the following pattern on your graph paper. X 1 2 3 4 5 Y 1 4 7 10 12 Solve. Show your work. 3.65 – 1.15= 4.15 + .9= Write matching fractions for the division problems. 1 ÷ 2 _____ 3 ÷ 4 _____ 5 ÷ 6 _____ 10 ÷ 5 _____ 7 ÷ 9 _____ 13 ÷ 6 _____ This data shows the amount of sugar in bags. The amount is measured in pounds. How much total sugar is there? Make a list of all the types of quadrilaterals. Draw a picture of each. Name: ____________________________________ Date: _____________ 29 Finish the pattern. Graph it on your graph paper. X 2 4 12 Y 3 5 13 Round each decimal to the place indicated. Round to the Round to the Round to the Round to the nearest one. 19.98____________________ nearest tenth. 3.20____________________ nearest hundredth. 1.859______________ nearest thousandth. 3.5555____________ Solve: 1 ½ - 1 ¼ = ______________________________ 2 ¾ + 1 ¼ = ____________________________________ Find the volume of the shape below. 6 in. 6 in. 8 in. 6 in. 12 in. 4 in. Define the shapes based on the information. A rectangle with all sides that are equal.________________________ A triangle with a right angle. ___________________________________ A quadrilateral with 2 pairs of parallel lines.____________________ A quadrilateral with only 1 pair of parallel lines. ________________ Name: ____________________________________ Date: _____________ 30 Complete the pattern using these rules. x starts at 5 and increases by 5. y starts at 10 and increases by 10. X Y Solve. Show your work. 6.36 ÷ 6= 5.15 ÷ 5= 4.24 ÷ 4= Describe what would happen to the following problems if the changes were made. Do not solve. 12 x 16 If the 16 was increased to 20, the product would ___________. If the 12 was decreased to 8, the product would ____________. Find the volume of the right rectangular prisms. 6.5 ft. 24.5 ft. 4 ft. 3.45 cm. 12.6 cm. 7 cm. Finish the T Chart with the correct shapes under the categories. Quadrilaterals Triangles Numbers and Operations: Base Ten Numbers and Operations: Fractions Name: ____________________________________ Date: _____________ 31 1. Write the following in exponential notation: 10 x 10= ________ 10 x 10 x 10= ________ 10 x 10 x 10 x 10= __________ 2. Write the following decimals in word form. 1.65 _______________________________________ .689 _______________________________________ .770 _______________________________________ .2 _________________________________________ 3. Compare the decimals using >, <, or =. .389 _____.3891 .410 _____.5 3.674 _____4.1 1. Tina and Sam are eating pizza. Tina eats ¼ of it and Sam eats ½ of it. How much of the pizza did they eat together? 2. Write the following division problems as fractions. 1÷2 5 ÷ 10 4÷6 2÷3 3. A baker has 16 pounds of sugar. She needs to put all the sugar in 5 bags and an equal amount in all the bags. How many pounds will be in each bag? Name: ____________________________________ Date: _____________ 32 1. Write each decimal in expanded form. 3.73 ____________________________________________ 2.89 ____________________________________________ .754 ____________________________________________ 2. Solve. Show your work. 3.23 1.89 – 1.98 + 4.62 2.75 -1.86 3. Solve. Show your work. 265 ÷ 50= 1. Solve: 1 3/6 + 2 8 3/4 1/6=____________ 5 1/8 310 ÷ 20= + 2/4= ____________ – 4 1/8= _________10 4/5 – 6 1/10= ____________ 2. Solve: 3 x ½= _______________ 4 x ¾= ______________ 5 x 1/5= _______________ 6x 1/8= _____________ 3. Without solving, circle the problem that would be greater. Tell how you know. 12 x 16 or 12 x 17 15 x 2 or 15 x 1/2 Name: ____________________________________ Date: _____________ 33 1. Which statement is true about the 6 in the following numbers? A. 6,159 B 7,658 A. The 6 in the number labeled A is 1/10 the amount of the 6 in the number labeled B. B. The 6 in the number labeled A is 10 times the amount of the 6 in the number labeled B. 2. Solve 1.5 4.50 1. 1.2 12.24 3. Round each decimal the nearest tenth. .365_____________ .98 ____________ 1.72 ___________ Find the area of the rectangles below. 3 ½ cm. 3/4 in. 6 ¾ cm. 2. Solve ½ x ¾=____________ 2 1/5 in. 4/5 x 1/4=______________ 3. Mr. Thomas is making rice. 1 cup of rice takes 1/3 of a cup of water. He is making 2 ½ cups of rice. How much water will he need? Name: ____________________________________ Date: _____________ 34 1. Write the following decimals in words. .425 ____________________________________________ 6.12 ____________________________________________ 8.009 __________________________________________ 2. Compare the decimals using <, >, or =. .6 ____ .06 .98 ______1.97 .32 ___.320 3. Solve 326 x31 456 x174 1,456 x12 1. Makayla is making 6 batches of brownies. If 1 batch requires ¾ teaspoons of butter, how much total butter will she need for all 6 batches? _______ 2. Without solving, answer the questions about the multiplication problems. 12 x 15…What would happen to the product if the 15 decreased to 13? ________________________________________ 26 x 12… What would happen to the product if the 26 increased to 27? ________________________________________ 3. Two brothers are eating out of the same box of cereal. The older brother eats 3/5 and the younger brother eats 3/10 of the cereal. How much more does the older brother eat than the younger brother? ___________________________________________ Name: ____________________________________ Date: _____________ 35 1. Write the exponents in factor form. 102 _________________ 104 ____________________________ 2. Solve. 8.17 - .98 3. Solve. 10.156 3.78 3.86 ÷ 100= _________ 3.86 ÷ 1,000=_________ 7.86 – 1.9= 5.45 + 5.6= What is happening to the decimal point in the first two division problems? _______________________________________________ _______________________________________________ What is happening to the decimal point in 3.86 x 100=__________ the multiplication problems? 3.86 x 1,000=________ _______________________________________________ _______________________________________________ 1. Jamie has 6 cans of peaches to give to his four aunts. How many cans of peaches will each aunt get if he gives them all the peaches? 2. 3 x ½= ______ 4 x ¾= ______ 4 x 1/8 _________ 3. Which problem would have the larger product? 16 x ½ or 16 x 3/2 ________________ How do you know? _________________________________________ ________________________________________________ Name: ____________________________________ Date: _____________ 36 1. Write the decimals in expanded form. .0067 ________________________________________________ 1.154 ________________________________________________ 9.91 _________________________________________________ 2. Solve. 325 ÷ 15= 3. Solve 3.25 x0.59 18 368 1.05 x 2.63 26 328 17.59 x 4 .912 x0.13 1. Write the fractions as division problems. 3/6 ___________ 8/4 ______________ 2/6 _____________ 2. What will happen to a whole number when it is: Multiplied by a fraction greater than 1. __________________ ________________________________________________________ Multiplied by a fraction smaller than 1.___________________ ________________________________________________________ Multiplied by a fraction equal to 1. ______________________ ________________________________________________________ 3. The sugar Saul buys comes in bags with 1 ¾ pounds of sugar in each bag. Saul has ½ of a bag left at home. How much sugar does he have? ______ Name: ____________________________________ Date: _____________ 37 1. Decide if each statement is true or false about the following numbers. A. 1.389 B. 3.22 C. 34.689 ______ The 3 in the number labeled A is 1/10 the amount of the 3 in the number labeled B. ______ The 3 in the number labeled C is 1/10 the amount of the 3 in the number labeled B. ______ The 3 in the number labeled B is 10 times the amount of the 3 in the number labeled A. 2. Solve. 15.31 - 9.7 8.7 + 9.12 13.451 - 8.999 3. Compare the decimals using >, <, or =. .51 _______ .6 .87 _____ .870 1. Solve. 1 ¾ + 4 ½= __________ 10 1/8 –6 1.9 ______1.897 3/24= __________ 6 ½ - 3 ¼= __________ 15 1/9 + 10 3/6=____________ 2. Jakobi has 16 pieces of candy. She eats ¾ of them. How many did she eat? _________ How much candy does she have left? __________ 3. Solve. 1/8 x 3/6= ______________ 4/5 x 3/6=_______________ 1/7 x 3/9= ______________ 1/2 x 1/2=_______________ Name: ____________________________________ Date: _____________ 38 1. Write the following in exponential form. 10x10x10x10 _________ 10x10 ____________ 10x10x10 ____________ 10 _______ 2. Write the number form for the following decimals. Sixty three hundredths _______________ One and four tenths _________________ Five and seventy one thousandths__________ 3. Mandy has $10.65. She wants to share it with herself and her 2 friends. How much will each friend get? ___________ 1. Find the area of the rectangles below. 3/4 cm. 5 1/3 cm. 6 1/8 cm. 1/2 cm. 2.Robert has ¾ of a candy bar left. He wants to share it with himself and 2 friends. What fraction of the candy bar will each person get? ________ 3. Lisa and Ann are eating a box of crackers. Lisa eats 3/6 of the box and Ann eats 1/4 of the box. How much of the box did the two girls eat together? ________ Name: ____________________________________ Date: _____________ 39 1. Write the place value of the following underlined digits. 3.62 ____________________________________________ .895 ____________________________________________ 71.153 __________________________________________ 2. Write the numbers in expanded form. 11.243 __________________________________________ 245.12 __________________________________________ 3. Round the decimal to the underlined place value. 1.15 ___________ 6.985 ___________ .836 _______ 1. solve. 3 ÷ ½ ________________ 6 ÷ ⅛______________ 2. Answer the questions about the multiplication problems without solving. What would happen to the product of 13 x 4 if the 4 was increased? ______________________________________ What would happen to the product of 1.5 x 3 if the 1.5 was decreased? ______________________________________ 3. A baker is making 4 1/8 batches of cookies. If each batch requires 3/4 of a stick of butter, how much butter will he need for all 4 1/8 batches? ______________ Name: ____________________________________ Date: _____________ 40 1. Compare the following numbers by filling in the blanks in the statements. A. 1.985 B. 9.65 C. 5.795 The 9 in the number labeled C is ______________ the amount of the 9 in the number labeled A. The 9 in the number labeled B is _______________the amount of the 9 in the number labeled A. 2. Put the decimals in order from greatest to least. 3.685, 4.10, 3.6, 3.7, 4.01 ______________________________ 3. Solve. 3.85 x 1.59= .75 x 3.896= 1. Write the fractions as division problems. 1/8 ____________ 5/9 ______________ 3/4 _____________ 2. Solve. 5 x 3/4=______________ 6 x 1/4=__________________ 3. Without solving, tell what would happen to the whole number factor in the below problems. 6 x 3/4:The whole number factor will ________________. 6 x 8/6: The whole number factor will ________________. 4 x 4/4: The whole number factor will ________________. Answer Keys 45 Name: ____________________________________ Solve: 44 5 2 + (6 -3) = ______ (7+2) x (9- 4) = Solve: ½+¼= (10 x 2) + 24= ______ 45 _____ Solve: 16 16 x1 = ______ 160 16x10 = ______ 1,600 16x100 = ______ 16,000 16x 1,000= ______ Date: _____________ 97 7 + 9 x 10= ______ What’s the pattern? Answers will vary. ________________________ _____________________ _____________________ _____________ ¾ ¾ + ¼ = 4/4 or 1 What is the difference between the two above problems? In the first problem, the denominators are different and in the second one the denominators are the same. Convert the Measurements: 12 1 foot = _____ inches 5,280 feet 1 mile = ______ 1 yard 3 feet = _____ 36 ______ inches = 1 yard Circle the shapes that are quadrilaterals. 1 Name: ____________________________________ Date: _____________ 2 Write a numerical expression for the below problems and solve. 6x3 Six times three __________________________ Fourteen divided by two ____________________ 14 ÷ 2 20 + 11 Add twenty and eleven _____________________ Solve;: 23 23x1 = ______ 230 23x101 = ______ 2,300 23x102 = ______ 23,000 23x103= ______ What’s the pattern? Answers will vary. ________________________ _____________________ _____________________ _____________ Solve: James has 16 balloons. ¼ of his balloons are red. How many red balloons does he have? 4 red balloons _______________ Solve: Jamal has 24 inches of yarn. How many feet of yarn does he have? ________ ft. 2 Ricardo has ½ foot of yarn. How many inches does he have? 6 inches. _______ Label the types of triangles by their angles. acute triangle right triangle obtuse triangle Name: ____________________________________ Date: _____________ Complete the patterns: 8 10 12 14 16 18 2, 4, 6, ____, ____, ____, ____, ____, ____ 50 40 ____, 30 ____, 20 10 80, 70, 60, ____, ____, ____ 40 80 ____, 160 ____, 320 ____ 640 5, 10, 20, ____, ____, Round each decimal to the nearest tenth. 3.8 3.785______________________ .1 .12 ________________________ 2 1.93________________________ Solve: Samantha had 8 balloons. Jacob has ½ as many. How many does Jacob have? _____________________ 4 balloons Convert the measurements. 2 1 pint = ____ cups 4 cups 1 quart = ____ 16 fluid ounces 1 pint = ____ 2 pints 1 quart = ____ 1 gallon = ____quarts 1 gallon = ____ cups Example Answers Name four quadrilaterals. square parallelogram ______________________ _________________ rhombus _________________ rectangle _________________ 3 Name: ____________________________________ Date: _____________ Write a numerical expression for the below problems and solve. 144 ÷ 12 Divide 144 by 12 ______________________________ Multiply 7 by 10 ______________________________ 7 x 10 Subtract 10 from 20 __________________________ 20 - 10 Compare the decimals using >, <, or =. > < 2.95 _____ 2.949 .856 ____.8561 < < 3.75 _____ 3.8 1.76 ____ 2 .98 _____ .980 = 3.15 ____ 3.2 < Name two equivalent fractions for each fraction listed below. Examples shown 2/20, 3/30 1/2, 4/8 2/6, 3/9 2/4 ____________ 1/3 ____________ 1/10____________ Solve: If there are 16 cups in 1 gallon, how many cups are 48 cups there in 3 gallons? ________________ 80 cups 5 gallons? ________________ Describe the following shapes: A four sided shape with all sides of the same length. square _____________________________________________ A four sided shape with opposite sides of the same length. rectangle __________________________________________ 4 Name: ____________________________________ Date: _____________ Write numerical expressions for the problems and solve. Add 12 and 6, then divide by 2 ___________________ (12+6) ÷ 2 (40-30) x 3 Subtract 30 from 40, then multiply by 3 ____________ (25 + 5) ÷ 10 Add 5 and 25, then divide by 10 __________________ Write the place value of the underlined digit. tenths 1.36 _____________________________________ 2.196 ____________________________________ thousandths hundredths 8.97 _____________________________________ 11.5699 ___________________________________ Ten-thousandths Solve: Jessica lost some of her money. She found 3/6 of it. What fraction of her money is still missing? 3/6 or 1/2 _______ Solve: If there are 16 ounces in a pound and a baby weighs 10 pounds, how many ounces does he weigh? __________ 160 ounces Name the characteristics a shape has to have to be defined as the following: Four sides and four angles Quadrilateral ________________________________________ Three sides and three angles Triangle _____________________________________________ Square ______________________________________________ Four sides of all the same length 5 Name: ____________________________________ Date: _____________ Solve each problem using the order of operations. 30 10 x (6 ÷ 2)= ______ 19 4 + 5 x 3=________ 28 30 ÷ 3 + (6x3)= ______ 6r2 10 x 2÷ 3= _______ Solve: 4.6 4.6x1 = ______ 46 4.6x101 = ______ 460 4.6x102 = ______ 4,600 4.6x103= ______ What happens to the decimal point? ________________________ The decimal point is moved to the left as many places as _____________________ the number of the exponent. _____________________ _____________ Solve: 7/4 or 1 3/4 3/4 + 4/4 = ___________ 1 2/3 1 1/3 + 1/3 = ______ 0 3/6 – 3/6 = ___________ 5/5 or 1 10/5 – 5/5 = _______ Record the data on a line plot. 1, 3, 1, 1, 2, 2, 3, 3, 4, 5, 4, 3, 1, 2 x x x x x x x x x x x 1 2 3 x x x 4 5 Name the triangle based on the information provided. right triangle A triangle with 1 right angle. _____________________________ equilateral triangle A triangle with all equal sides. ___________________________ scalene triangle A triangle with no equal sides. ____________________________ 6 Name: ____________________________________ Date: _____________ Complete the patterns: 15, 30, 45, ____, 60 ____, 75 ____, 90 ____, 105 ____, 120 32 64 128 ____, 256 512 4, 8, 16, ____, ____, ____, ____ 12 15 18 21 24 3,6,9, ____, ____, ____, ____, ____ Write the place value of the underlined digit. tenths 1.65 ____________________________ ones 31.789 ____________________________ ten-thousandths .8695 ____________________________ Solve: 1 3/10 1 2/8 or 1 1/4 1 2/10 + 1/10= ________ 1 1/8 + 1/8= ________ 2 3/4 2 3/6 or 2 1/2 2 1/4 + 1/2= ________ 2 1/6 + 1/3= _________ Solve: Jake has two gallons of juice. How many cups does he have? 32 ___________ cups Sarah has 2 feet of string. How many inches does she have? _____________ inches? 24 Define each type of triangle. A triangle with all sides of different lengths. Scalene triangle ___________________________________ A triangle with 2 sides of the same length. Isosceles triangle __________________________________ A triangle with all sides of the same length. Equilateral triangle ________________________________ 7 Name: ____________________________________ Date: _____________ Write a numerical expression for the below problems and solve. 81 ÷ 9 = 9 Divide 81 by 9 ______________________________ Multiply 22 by 10 ____________________________ 22 x 10 = 220 Subtract 186 from 200 _______________________ 200 – 186 = 14 Write each number in word form: Three million, nine hundred seventy-eight thousand, two hundred six 3,978,206 __________________________ Sixty three thousand, eleven 63,011 _____________________________ Seven hundred eighty-nine thousand, one hundred seventy five 789,175 ___________________________ Solve 6/9 or 2/3 1 - 3/9= ______________ 2/3 1 – 1/3= ___________ 1 2/6 or 1 1/3 2 – 4/6= ___________ 2 - 1/2= _____________ 1/2 Record the data on a line plot. 20, 17, 20, 17, 18, 17, 20, 18, 16 x 16 x x x 17 x x x x x 18 19 20 Decide if each statement is true or false and explain. True. Explanations will vary. All rectangles are quadrilaterals. ________________________________________ _________________________________________________________________________ Explanations will vary. Every shape is some type of quadrilateral. False. ________________________________ __________________________________________________________________________ 8 Name: ____________________________________ Date: _____________ Write the numerical expressions in words. Divide sixty by six 60 ÷ 6______________________________________ Multiply three and fifteen 3 x 15 _____________________________________ Add six and three, then multiply by nine (6 + 3) x 9 __________________________________ Write the place value of the underlined digit. thousandths 9.789 ______________________________________ hundred-thousandths .01568 _____________________________________ hundredths 3.34 _______________________________________ tenths 7.845 ______________________________________ Solve: 3/4 1/2 + 1/4= ______________ 1 1/4 3/3 + 1/4= ________________ 5/20 or 1/4 3/10 – 1/20= ____________ 3/6 or 1/2 2/3 – 1/6=________________ Convert the measurements. 1 kilometer = __________ meters 1,000 100 1 meter = ___________ centimeters 1 centimeter= ___________ millimeters 10 Define each angle from its measurements. right angle 90 degrees ________________________________ obtuse angle 106 degrees_________________________________ 87 degrees_____________________________________ acute angle 9 Name: ____________________________________ Date: _____________ 10 Complete the patterns for x and y. X 10 Y 5 20 10 30 40 15 20 60 50 25 30 Write the numbers in expanded form: 600 + 80 + 5 685_______________________________________ 1,000 + 400 + 90 + 5 1,495______________________________________ 100,000 + 50,000 + 2,000 + 10 + 8 152,018____________________________________ Solve: 3.65 + 1.19 = 4.84 4.23 + 1.95 = 6.18 1.98 - .86= 1.12 11.83 – 8.98= Record the data on a line plot. 1/2, 2/4, 1/2,3/4, 1/2, 2/4, 3/4 2.85 X X X X X X X 1/2 or 2/4 3/4 Name the shapes. pentagon hexagon octagon Name: ____________________________________ Date: _____________ 11 Describe the different patterns in numbers x and y. X: Each number is being increased by 2 each time. Y: Each number is being decreased by 2 each time. X 2 4 6 8 10 12 Y 12 10 8 6 4 2 68.5 685 ÷ 10= ________ 6.85 685 ÷ 100= _______ 0.685 685 ÷ 1,000=______ 0.0685 685 ÷ 10,000=_____ Solve: What steps do you take to solve these problems? Answers will vary. Accept any _______________________________ answers that show an understanding _______________________________ of decimal movement. _______________________________ 3/8 ¾ x ½= _________________________________ 1/4 ½ x ½= _________________________________ Complete the chart with the correct conversions. 1 cup 8 fluid ounces ___ 1 pint 2 cups ___ 1 gallon 4 quarts ___ Plot these points on your graph paper. (6, 7) (6, 3) (6, 8) (8, 4) (8, 2) (8, 6) Answer key not available. Date: _____________ 12 Name: ____________________________________ Solve each problem. {[6 + (8 + 4)] – 3}= [6 x 3 + (3 x 1)]= 15 21 __________ __________ Write each number in word form: sixteen and nine hundred eighty-five thousandths 16.985 _____________________________ .006_______________________________ six thousandths two hundred thirty-eight thousandths .238 _______________________________ Solve 1/30 1/6 x 1/5 = _________________________________ 6/32 or 3/16 2/8 x 3/4= _________________________________ Record the data on a line plot. 1, ½, 1, ¼, ¾, ½ , ¾ , 1, ¼ X X X X X X x X X 1/4 1/2 3/4 1 On the back of this paper, create a hierarchy using these shapes. Triangles, Acute Triangle, Polygon, Right Triangle, Obtuse Triangle On the back of this paper, create a hierarchy using these shapes. Triangles, Acute Triangle, Polygon, Right Triangle, Obtuse Triangle Polygon Triangle Acute Triangle Right Triangle Obtuse Triangle 58 Name: ____________________________________ Date: _____________ 13 Write the numerical expressions in words. Subtract one from ten then divide by three (10 - 1) ÷ 3 _________________________________ Subtract three from five then add ten 10 + (5 -3)___________________________________ Add seven and three then multiply by five (7 + 3) x 5 __________________________________ Write the decimals in expanded form: 6 x 1/10 + 8 x 1/100 + 5 x 1/1000 .685 _________________________________________________ 1 x 1 + 7 x 1/10 + 8 x 1/100 1.78 _________________________________________________ 2 x 1 + 2 x 1/100 2.02 _________________________________________________ Solve: 3/32 ¾ x ⅛= __________________________________ 1/16 ¼ x ¼= _________________________________________ Solve: Jason is running a 4 mile race . How many feet is the race? 21,120 _____________ feet Define each shape based on its definitions. Square, Rectangle Rhombus Shape with all parallel sides.Parallelogram, ____________________________ Equilateral Triangle, Regular Polygon, Rhombus Shape with all equal sides.Square, ____________________________ Shape with three sides and three angles. Triangle ___________ Name: ____________________________________ Date: _____________ 14 Add parenthesis to make these expressions true. 4 x (2 + 5) = 28 ______________________________ 10 ÷ (1 x 5) = 2 _______________________________ (25 – 10) x 2 = 30 _____________________________ Solve: 615 x 35= 21,525 315 x 16= 5,040 Without solving, circle the problem that would have the highest product. Tell how you know. 20 x 10 or 30 x 10 __________________________________ Explanations will vary. 15 x 4 or 15 x 6 ____________________________________ 12 x 3 or 10 x 2 ____________________________________ Find the volume of the rectangular prism. 8 ft. 14 ft. 224 cubic feet ______________ 2 ft. Name the shapes. parallelogram trapezoid square Date: _____________ 15 Name: ____________________________________ What is the relationship between the numbers that are x The xs are half the value of the ys. Or and the numbers that are y? the ys are double the value of the xs. X 2 4 6 8 10 12 Y 4 8 12 16 20 24 What direction does the decimal point move? Right or left? How do you know? left _______________________________ _______________________________ _______________________________ Solve. Use fraction models. 0.313 3.13 ÷ 10=________ 0.0313 3.13 ÷ 100=_______ 0.00313 3.13 ÷ 1,000=______ 0.000313 3.13 ÷ 10,000=_____ ½ ÷ 4= ¼ ÷ 2= 1/8 1/8 Complete the chart with the correct conversions. 1 mile 5,280 ________feet 1 foot 12 inches ___ 1 yard 3 ___ feet Plot these points on your graph paper. Label them with the matching letter. X (1, 3) Y (2, 5) z (4, 5) A (3, 7) B (2, 9) C (1, 11) Name: ____________________________________ Date: _____________ 16 Solve. {[2 + (11 + 8)] – 2}= [4 x 2 + (5 + 1)]= 19 14 __________ __________ Solve. Show your work. 366 ÷ 6= 515 ÷ 5= 412÷ 4= 61 103 103 Solve. Use the models to help you get started. 4 ÷ ½= 3 ÷ ¼= 8 12 Record the data on a line plot. 1/8, 2/4, 1/4, 3/8, 1/8, 2/4, 1/4, 3/8, 1/4 X X 1/8 X X X 1/4 X X X X 3/8 2/4 On the back of this paper, create a hierarchy using these shapes. Quadrilaterals, Rectangles, Polygons, Squares, Parallelograms On the back of this paper, create a hierarchy using these shapes. Quadrilaterals, Rectangles, Polygons, Squares, Parallelograms Polygons Quadrilaterals Parallelograms Rectangle Square 63 Name: ____________________________________ Date: _____________ 17 Write the numerical expressions in words. Subtract one from ten then divide by three (10 - 1) ÷ 3 _________________________________ Add ten to the difference of five and three 10 + (5 - 3)__________________________________ Add seven and three then multiply by five (7 + 3) x 5 __________________________________ Round Round Round Round Round each decimal to the place indicated. to the to the to the to the 3 nearest one. 2.985 ________________ 5.2 nearest tenth. 5.235 ________________ 0.89 nearest hundredth. 0.887 ___________ 0.325 nearest thousandth. 0.3252 _________ Solve: 2/30 or 1/15 2/5 x 1/6 = ______________________________ 2/21 1/7 x 2/3=_____________________________________ Solve: A café has seven gallons of lemonade. How many quarts do they have? 28 __________ quarts Graph the coordinates below on your graph paper. Draw the correct shape beside the coordinate. Square at (8, 2) Triangle at (5, 3) Trapezoid at (9, 1) Rhombus at (2, 8) Name: ____________________________________ Date: _____________ 18 Add parenthesis to make these expressions true. 4 x (2 + 10) = 48 ______________________________ 20 ÷ (2 x 5) = 2 _______________________________ (30 – 10) x 4 = 80_____________________________ Solve: 615 x 35= 21,525 315 x 16= 5,040 In each problem, tell whether the whole number factor will be smaller or larger than the product. Tell how you know. 10 x ½ The whole number factor will be larger than the product because you are multiplying it by a proper fraction, which will make the product smaller. ___________________________________________ 7 2 The whole number factor will be smaller than the product because you are multiplying it by a fraction greater than 1, which will make the product larger. _________________________________________ 15 x Find the volume of the rectangular prism. 6 ft. 10 ft. 60 cubic feet ______________ 1 ft. Name the triangles from their descriptions. A triangle with only 2 sides of the same length. Isosceles triangle A triangle with all sides of the same length. Equilateral triangle A triangle with no sides the same length. Scalene triangle Name: ____________________________________ Date: _____________ 19 What is the relationship between the numbers that are x X is ten times the amount of Y. and the numbers that are y? X 10 20 30 40 50 60 Y 1 2 3 4 5 6 0.5 5 ÷101=_________ 0.05 5÷ 102=_________ 0.005 5÷ 103=_________ 0.0005 5÷ 104=_________ What is happening to the whole number as you are dividing? It is getting smaller each _______________________________ time. _______________________________ _______________________________ Solve. Use the fraction model. Mr. Swanson has ½ lb. of fudge to share with 6 students. What amount of fudge will each child get? Each child will get 1/12 lb. of fudge. Complete the chart with the correct conversions. 1 ton 2,000 pounds _______ 1 pound 16 ounces ___ 2 pounds ___ 32 ounces Plot these points on your graph paper. Label them with the What do you matching letter. notice about A (3, 5) C (2, 5) E (1, 5) all the points? _______________ All the points have B (7, 5) D (6, 5) F (8, 5) _______________ the same y axis. Name: ____________________________________ Date: _____________ 20 Write a numerical expression for the following words. (7 + 10) ÷ 5 Add 7 and 10, then divide by 5. __________________________ Subtract 5 from 15, then multiply 6. __________________ (15 – 5) x 6 Multiply 4 and 6, then divide by 8. ____________________ (4 x 6) ÷ 8 Solve. Show your work. 315 × 26 = 410 × 63 = 276 × 19 = 8,190 25,830 5,244 Solve. Use the models to help you get started. 6 ÷1 = 3 3÷½= 18 6 The data represents how much of a pound of soil is in each bag. If the soil was redistributed into equal amounts, how much soil would be in each bag? ½ pound of soil will be in each bag. Name each shape based on its description. A A A A octagon 2 D shape with 8 sides. ___________________________________ pentagon 2 D shape with 5 sides. ___________________________________ hexagon 2 D shape with 6 sides. ___________________________________ 2 D shape with 4 sides. ___________________________________ quadrilateral Name: ____________________________________ Date: _____________ 21 Solve: 3 (7- 1) ÷ 2=___________________________________ 4 2 × (10 - 8)=_________________________________ 90 (2 + 8) x 9=__________________________________ Round each decimal to the place indicated. Round to the Round to the Round to the Round to the 4 nearest one. 3.986____________________ 2 nearest tenth. 1.99____________________ nearest hundredth. 0.129______________ 0.13 1.366 nearest thousandth. 1.3655 ____________ Solve: 2/9 1/3 x 2/3 = ______________________________ 2/35 1/5 x 2/7=_____________________________________ Solve the 2 step problem. A student has 3 pounds of fudge. She eats 1 pound of it. How many ounces does she have left? 32 __________ ounces True or False. Explain your reasoning. All squares are parallelograms, so all parallelograms are squares. False. Explanations will vary. ___________________________________________________________ ____________________________________________________________ True. Explanations will vary. All triangles are polygons. ____________________________________ ______________________________________________________________ Name: ____________________________________ Date: _____________ 22 Add parenthesis to make these expressions true. 4 x (3 + 8) = 44 _______________________________ 36 ÷ (1 x 6) = 6 ______________________________ (60 – 50) x 9 = 90 _____________________________ Solve: 364 ÷ 6= 60 R 4 499 ÷ 7= 71 R 2 Solve: 2/5 1 – 3/5 = _______ 3/8 5/8 – 1/4 = _______ 2/8 or 1/4 4/8 – 1/4 = _______ 5/4 or 1 1/4 3/4 + 1/2= _______ 11/16 3/4 – 1/16 = ________ 11/24 3/8 +1/12 = ________ Find the volume of the rectangular prism. 990 cubic feet 9 cm. 22 cm. ______________ 5 cm. Name the triangles from their descriptions. A triangle with all acute angles. Acute Triangle A triangle with 1 right angle. Right Triangle A triangle with 1 obtuse angle. Obtuse Triangle Name: ____________________________________ Date: _____________ 23 What is the relationship between the numbers that are x and the numbers that are y? Graph the points on your graph They x numbers paper. X 2 4 6 8 10 12 Y 1 2 3 4 5 6 Solve. Show all your work. 56 x 152= are double the value of the y numbers. 48 x 325= 8,512 15,600 Find the area of each rectangle. 2 ½ ft. 10 ft. 1 ½ in. 25 square feet 5 ½ in. 8 ¼ square feet Complete the chart with the correct conversions. 1 kilometer 1,000 _______ meters 1 meter 100 centimeters ___ 1 centimeter 10 millimeters ___ Plot these points on your graph paper. Label them with the What do you matching letter. notice about A (2, 1) C (2, 3) E (2, 9) all the points? _______________ The points have B (2, 5) D (2, 8) F (2, 2) _______________ the same x axis. Name: ____________________________________ Date: _____________ 24 Write a numerical expression for the following words. (10 + 12) ÷ 2 Find the sum of 10 and 12, then divide by 2._ __________ (6 x 3) - 5 Multiply 6 and 3, then subtract 5 _____________________ (47 – 7) ÷ 10 Subtract 7 from 47, then divide by 10._________________ Solve. Show your work. 506 ÷ 11 = 546 ÷ 13 = 855 ÷ 45= 46 42 19 Solve. Use the models to help you get started. 4 ÷1 = 4 16 2÷ ⅛= 16 Look at the data. List out the amounts in order from greatest to least. ¾, ¾, ¾, ¾, ½, ½, ½, ¼, ⅛, ⅛ Name each shape based on its description. parallelogram A shape with 2 pairs of parallel lines. ________________________ square A shape with 4 equal sides._________________________________ A shape with only 1 set of parallel lines. _____________________ trapezoid rectangle A shape with opposite sides of equal length._________________ Name: ____________________________________ Date: _____________ 25 Solve: 10 [ 16 – (3x2)] = ________________________________ { [6 + (1x3)] x [3 x (1x4)] } = 108 __________________________________________ Round each decimal to the place indicated. Round to the Round to the Round to the Round to the 20 nearest one. 19.98____________________ nearest tenth. 3.20____________________ 3.2 1.86 nearest hundredth. 1.859______________ 3.556 nearest thousandth. 3.5555____________ Solve: 4½ 1 ½ x 3= ______________________________ 11 2 ¾ x 4= _____________________________________ Solve the 2 step problem. A runner is running a 3 mile marathon. He has ran 2 miles already. How many feet does he have left to run? 5,280 ___________ feet True or False. Explain your reasoning. True. Explanations will All triangles contain acute angles._____________________________ vary. ____________________________________________________________ A square is a polygon, so all polygons are squares.______________ ______________________________________________________________ False . Explanations will vary. Name: ____________________________________ Date: _____________ 26 Add parenthesis to make these expressions true. 36 ÷ (3 x 2) = 6______________________________ (5 + 2) x 9 = 63______________________________ (5 + 2) x 10 = 70 _____________________________ Solve. Show your work. 8.24 5.15 x 1.6= 7.98 x .36= 2.8728 Solve: A meat market has 68 pounds of meat to divide equally into 6 packs. He must use all the meat. How many pounds of meat will be in each pack? 11 2/6 or 11 1/3 lbs. _________________________ A 2 layer cake has the following dimensions. Find the volume of the cake. 1st layer= L = 10 inches W= 5 inches H= 8 inches 2nd layer = L = 8 inches W= 3 inches H = 4 inches 496 cubic inches ___________ Create a hierarchy with the following shapes. Quadrilateral, Polygon, Rectangle, Parallelogram, Rhombus On the back of this paper, create a hierarchy using these shapes. Quadrilateral, Polygon, Rectangle, Parallelogram, Rhombus Polygon Quadrilateral Parallelograms Rectangle Rhombus 74 Date: _____________ 27 Name: ____________________________________ Fill in the chart using these rules. X and Y start at 0. X increased by 3, Y increased by 4. X 0 3 6 9 12 15 Y 0 4 8 12 16 20 Compare the decimals using >, <, or =. < 0.3 0.223 ____ = 0.115 _____ 0.1150 > 0.9 ____ 0.7156 < 3.70 3.69 ____ > .98 ____ 0.9 = 0.80 0.8 ____ Find the area of each rectangle. 3 1/3 in. 1 ½ ft. 5 ½ ft. 8 ¼ square feet 20 5/6 square inches 6 1/4 in. Find the volume of the shape below. 3 in. 2 in. 84 cubic inches 3 in. 6 in. 8 in. What larger group do the following shapes belong to? Explain your reasoning. rectangles, parallelograms, squares, rhombus Quadrilaterals. Explanations will vary. Polygons. Explanations will vary. Name: ____________________________________ Date: _____________ 28 Graph the following pattern on your graph paper. X 1 2 3 4 5 Y 1 4 7 10 12 Solve. Show your work. 3.65 – 1.15= 4.15 + .9= 2.5 5.05 Write matching fractions for the division problems. ½ 1 ÷ 2 _____ 10/5 10 ÷ 5 _____ 3/4 3 ÷ 4 _____ 7/9 7 ÷ 9 _____ 5/6 5 ÷ 6 _____ 13/6 13 ÷ 6 _____ This data shows the amount of sugar in bags. The amount is measured in pounds. How much total sugar is there? 5 lbs. Make a list of all the types of quadrilaterals. Draw a picture of each. square, rectangle, trapezoid, parallelogram, kite or diamond Name: ____________________________________ Date: _____________ 29 Finish the pattern. Graph it on your graph paper. X 2 4 6 8 10 12 14 Y 3 5 7 9 11 13 15 Round each decimal to the place indicated. 20 the nearest one. 19.98____________________ Round to 3.2 Round to the nearest tenth. 3.20____________________ 1.86 Round to the nearest hundredth. 1.859______________ 3.56 Round to the nearest thousandth. 3.5555____________ Solve: ¼ 1 ½ - 1 ¼ = ______________________________ 4 2 ¾ + 1 ¼ = ____________________________________ Find the volume of the shape below. 432 cubic inches 6 in. 6 in. 8 in. 6 in. 12 in. 4 in. Define the shapes based on the information. square A rectangle with all sides that are equal.________________________ right triangle A triangle with a right angle. ___________________________________ parallelogram A quadrilateral with 2 pairs of parallel lines.____________________ A quadrilateral with only 1 pair of parallel lines. ________________ trapezoid Name: ____________________________________ Date: _____________ 30 Complete the pattern using these rules. x starts at 5 and increases by 5. y starts at 10 and increases by 10. X 5 10 15 20 25 30 35 Y 10 20 30 40 50 60 70 Solve. Show your work. 6.36 ÷ 6= 5.15 ÷ 5= 4.24 ÷ 4= 1.06 1.03 1.06 Describe what would happen to the following problems if the changes were made. Do not solve. 12 x 16 increase If the 16 was increased to 20, the product would ___________. decrease If the 12 was decreased to 8, the product would ____________. Find the volume of the right rectangular prisms. 24.5 ft. 6.5 ft. 637 4 ft. cubic feet 12.6 cm. 3.45 cm. 7 cm.304.29 cubic feet Finish the T Chart with the correct shapes under the categories. Quadrilaterals parallelogram square rectangles trapezoid Triangles right triangle equilateral triangle acute triangle isosceles triangle obtuse triangle scalene triangle Numbers and Operations: Base Ten Numbers and Operations: Fractions Name: ____________________________________ Date: _____________ 31 1. Write the following in exponential notation: 102 103 10 x 10= ________ 10 x 10 x 10= ________ 104 10 x 10 x 10 x 10= __________ 2. Write the following decimals in word form. one and sixty-five hundredths 1.65 _______________________________________ six hundred eighty-nine thousandths .689 _______________________________________ seven hundred seventy thousandths .770 _______________________________________ two tenths .2 _________________________________________ 3. Compare the decimals using >, <, or =. < .389 _____.3891 < .410 _____.5 < 3.674 _____4.1 1. Tina and Sam are eating pizza. Tina eats ¼ of it and Sam eats ½ of it. How much of the pizza did They ate ¾ of the pizza together. they eat together? 2. Write the following division problems as fractions. 1 ÷ 2 1/2 5 ÷ 10 5/10 4 ÷ 6 4/6 2÷3 2/3 3. A baker has 16 pounds of sugar. She needs to put all the sugar in 5 bags and an equal amount in all the bags. How many pounds will be in each bag? 3 1/5 lbs. in each bag Name: ____________________________________ Date: _____________ 32 1. Write each decimal in expanded form. 3 x 1 + 7 x 1/10 + 3 x 1/100 3.73 ____________________________________________ 2 x 1 + 8 x 1/10 + 9 x 1/100 2.89 ____________________________________________ 7 x 1/10 + 5 x 1/100 + 4 x 1/1000 .754 ____________________________________________ 2. Solve. Show your work. 3.23 1.89 – 1.98 + 4.62 1.25 2.75 -1.86 6.51 0.89 3. Solve. Show your work. 265 ÷ 50= 310 ÷ 20= 5 R 15 15 R 10 1. Solve: 1 3/6 + 2 8 3/4 3 4/6 or 3 2/3 1/6=____________ 4 5/8 – 4 1/8= _________ 10 2. Solve: 1½ 3 x ½= _______________ 1 5 x 1/5= _______________ 5 1/8 4/5 5 5/8 + 2/4= ____________ 4 7/10 – 6 1/10= ____________ 3 4 x ¾= ______________ 6x 1/8= 6/8 _____________ 3. Without solving, circle the problem that would be greater. Tell how you know. 12 x 16 or 12 x 17 15 x 2 or 15 x 1/2 Name: ____________________________________ Date: _____________ 33 1. Which statement is true about the 6 in the following numbers? A. 6,159 B 7,658 A. The 6 in the number labeled A is 1/10 the amount of the 6 in the number labeled B. B. The 6 in the number labeled A is 10 times the amount of the 6 in the number labeled B. 2. Solve 1.5 4.50 1.2 12.24 3.00 1. 10.2 3. Round each decimal the nearest tenth. 0.4 .365_____________ 1 .98 ____________ 1.72 ___________ 1.7 Find the area of the rectangles below. 3 ½ cm. 23 5/8 cm2 6 ¾ cm. 2. Solve 3/8 ½ x ¾=____________ 1 13/20 in2 3/4 in. 2 1/5 in. 4/20 or 1/5 4/5 x 1/4=______________ 3. Mr. Thomas is making rice. 1 cup of rice takes 1/3 of a cup of water. He is making 2 ½ cups of rice. How much water will he need? 5/6 of a cup Name: ____________________________________ Date: _____________ 34 1. Write the following decimals in words. four hundred twenty five thousandths .425 ____________________________________________ six and twelve hundredths 6.12 ____________________________________________ 8.009 __________________________________________ eight and nine thousandths 2. Compare the decimals using <, >, or =. = .6 ____ .98 ______1.97 .32 ___.320 > .06 < 3. Solve 326 x31 456 x174 10,106 79,344 1,456 x12 17,472 1. Makayla is making 6 batches of brownies. If 1 batch requires ¾ teaspoons of butter, how much total 4 ½ teaspoons butter will she need for all 6 batches? _______ 2. Without solving, answer the questions about the multiplication problems. 12 x 15…What would happen to the product if the 15 The product would decrease. decreased to 13? ________________________________________ 26 x 12… What would happen to the product if the 26 The product would increase. increased to 27? ________________________________________ 3. Two brothers are eating out of the same box of cereal. The older brother eats 3/5 and the younger brother eats 3/10 of the cereal. How much more does the older brother eat The older brother eats 3/10 more. than the younger brother? ____________________________ Name: ____________________________________ Date: _____________ 35 1. Write the exponents in factor form. 10 x 10 10 x 10 x 10 x 10 102 _________________ 104 ____________________________ 2. Solve. 8.17 - .98 10.156 3.78 7.19 6.376 3. Solve. 0.0386 3.86 ÷ 100= _________ 3.86 ÷ 1,000=_________ 0.00386 7.86 – 1.9= 5.96 5.45 + 5.6= 11.05 What is happening to the decimal point in the first two division problems? The decimal point is moving to the left. _______________________________________________ _______________________________________________ What is happening to the decimal point in 386 3.86 x 100=__________ the multiplication problems? The decimal point is moving to the right. 3.86 x 1,000=________ 3,860 _______________________________________________ _______________________________________________ 1. Jamie has 6 cans of peaches to give to his four aunts. How many cans of peaches will each aunt get if he gives them all the peaches? Each aunt will get 1 ½ cans of peaches. 1½ 4/8 or ½ 3 2. 3 x ½= ______ 4 x ¾= ______ 4 x 1/8 _________ 3. Which problem would have the larger product? 16 x 3/2 16 x ½ or 16 x 3/2 ________________ How do you know? _________________________________________ Explanations will vary. ________________________________________________ Name: ____________________________________ Date: _____________ 36 1. Write the decimals in expanded form. 6 x 1/1000 + 7 x 1/10000 .0067 ________________________________________________ 1 x 1 + 1 x 1/10 + 5 x 100 + 4 x 1/1000 1.154 ________________________________________________ 9.91 _________________________________________________ 9 x 1 + 9 x 1/10 + 1 x 1/100 2. Solve. 325 ÷ 15= 12 R 16 20 R 8 21 R 10 18 368 26 328 3. Solve 3.25 x0.59 1.05 x 2.63 17.59 x 4 1.9175 2.7615 70.36 .912 x0.13 0.11856 1. Write the fractions as division problems. 8÷4 2÷6 3÷6 3/6 ___________ 8/4 ______________ 2/6 _____________ 2. What will happen to a whole number when it is: The whole number Multiplied by a fraction greater than 1. __________________ will increase. ________________________________________________________ The whole number Multiplied by a fraction smaller than 1.___________________ will decrease. ________________________________________________________ The whole number Multiplied by a fraction equal to 1. ______________________ will stay the same. ________________________________________________________ 3. The sugar Saul buys comes in bags with 1 ¾ pounds of sugar in each bag. Saul has ½ of a bag left at home. How 7/8 of a pound much sugar does he have? ______ Name: ____________________________________ Date: _____________ 37 1. Decide if each statement is true or false about the following numbers. A. 1.389 B. 3.22 C. 34.689 True ______ The 3 in the number labeled A is 1/10 the amount of the 3 in the number labeled B. False The 3 in the number labeled C is 1/10 the amount of the 3 in ______ the number labeled B. ______ True The 3 in the number labeled B is 10 times the amount of the 3 in the number labeled A. 2. Solve. 15.31 8.7 13.451 - 9.7 + 9.12 - 8.999 5.61 17.82 4.452 3. Compare the decimals using >, <, or =. < .51 _______ .6 = .87 _____ .870 1. Solve. 6¼ 1 ¾ + 4 ½= __________ 10 1/8 –6 1.9 ______1.897 > 3/24= 4 __________ 25 11/18 3¼ 6 ½ - 3 ¼= __________ 15 1/9 + 10 3/6=____________ 2. Jakobi has 16 pieces of candy. She eats ¾ of them. 12 pieces How many did she eat? _________ How much candy does she have left? __________ 4 pieces 3. Solve. 3/48 or 1/16 12/30 or 2/5 1/8 x 3/6= ______________ 4/5 x 3/6=_______________ 1/4 3/63 or 1/21 1/2 x 1/2=_______________ 1/7 x 3/9= ______________ Name: ____________________________________ Date: _____________ 38 1. Write the following in exponential form. 102 104 10x10x10x10 _________ 10x10 ____________ 101 103 10x10x10 ____________ 10 _______ 2. Write the number form for the following decimals. 0.63 Sixty three hundredths _______________ 1.4 One and four tenths _________________ 5.071 Five and seventy one thousandths__________ 3. Mandy has $10.65. She wants to share it with herself and her 2 friends. How much will each $3.55 friend get? ___________ 1. Find the area of the rectangles below. 5 1/3 cm. 3/4 cm. 6 1/8 cm. 4 19/32 square centimeters 2 2/3 square 1/2 cm. centimeters 2.Robert has ¾ of a candy bar left. He wants to share it with himself and 2 friends. What fraction of the ¼ of the candy bar candy bar will each person get? ________ 3. Lisa and Ann are eating a box of crackers. Lisa eats 3/6 of the box and Ann eats 1/4 of the box. How much of the box did the two girls eat together? ________ 9/12 or 3/4 Name: ____________________________________ Date: _____________ 39 1. Write the place value of the following underlined digits. tenths 3.62 ____________________________________________ thousandths .895 ____________________________________________ hundredths 71.153 __________________________________________ 2. Write the numbers in expanded form. 1 x 10 + 1 x 1 + 2 x 1/10 + 4 x 1/100 + 3 x 1/1000 11.243 __________________________________________ 2 x 100 + 4 x 10 + 5 x 1 + 1 x 1/10 + 2 x 1/100 245.12 __________________________________________ 3. Round the decimal to the underlined place value. 1.15 ___________ 1.2 7 6.985 ___________ .84 .836 _______ 1. solve. 6 3 ÷ ½ ________________ 48 6 ÷ ⅛______________ 2. Answer the questions about the multiplication problems without solving. What would happen to the product of 13 x 4 if the 4 The product would increase. was increased? ______________________________________ What would happen to the product of 1.5 x 3 if the 1.5 The product would decrease. was decreased? ______________________________________ 3. A baker is making 4 1/8 batches of cookies. If each batch requires 3/4 of a stick of butter, how much 3 3/32 sticks butter will he need for all 4 1/8 batches? ______________ Name: ____________________________________ Date: _____________ 40 1. Compare the following numbers by filling in the blanks in the statements. A. 1.985 B. 9.65 C. 5.795 1/10 The 9 in the number labeled C is ______________ the amount of the 9 in the number labeled A. 10 times The 9 in the number labeled B is _______________the amount of the 9 in the number labeled A. 2. Put the decimals in order from greatest to least. 3.685, 4.10, 3.6, 3.7, 4.01 ______________________________ 4.10, 4.01, 3.7, 3.685, 3.6 3. Solve. 3.85 x 1.59= 6.1215 .75 x 3.896= 2.922 1. Write the fractions as division problems. 1÷8 1/8 ____________ 5÷9 3÷4 5/9 ______________ 3/4 _____________ 2. Solve. 3¾ 5 x 3/4=______________ 6x 1 2/4 or 1 ½ 1/4=__________________ 3. Without solving, tell what would happen to the whole number factor in the below problems. decrease or become smaller 6 x 3/4:The whole number factor will ________________. or become larger 6 x 8/6: The whole number factor will increase ________________. stay the same 4 x 4/4: The whole number factor will ________________. Checklist of Skills 90 Operations and Algebraic Thinking Skills I can solve problems involving parentheses, brackets, 1, 6, 12, 14, 16, 18, 21, 22, 25, 26 and braces. I can write and interpret numerical expressions. 2, 4, 5, 8, 9, 13,17, 20, 24 I can determine the rule used in a numerical pattern. 3, 7, 10, 19 I can complete numerical patterns using two given rules. 11, 15, 27, 30 I can graph a pattern on a coordinate grid. 23, 28, 29 Numbers and Operations: Base Ten I can understand the place value of a number. 5, 7, 9, 33, 37, 39, 40 I can multiply by the powers of 10. 1,2, 6, 11, 15, 19 I can determine where to place a decimal point when 6, 11, 15, 19, 35 a decimal is multiplied or divided by a power of 10. I can identify and understand exponential notation. 2, 19, 31, 35, 38 I can read and write decimals to the thousandths. 8, 12, 31, 34, 38 I can represent decimals in expanded form. 10, 13, 32, 36, 39 I can compare two decimals using >, =, and < symbols. 4, 27, 31, 34, 37, 40 I can round decimals using a variety of strategies, such as number lines and benchmark numbers. 3, 17, 21, 25, 33, 39 I can multiply multi digit whole numbers. 14, 18, 20, 23, 34 I can divide whole numbers and explain my calculations through a variety of methods. 16, 22, 24, 32, 36 I can add and subtract decimals to the hundredths. 10, 28, 32, 35, 37 I can multiply and divide decimals to the hundredths. 26, 30, 33, 36, 38, 40 Numbers and Operations: Fractions I can add and subtract fractions with unlike denominators. 1, 4, 6, 8, 9, 22 I can add and subtract mixed numbers. 7, 29, 32, 37 I can solve word problems involving addition and subtraction of fractions that refer to the same whole. 5, 31, 34, 38 I can understand that fractions are division problems. 28, 31, 36, 40 I can solve problems that require me to divide whole numbers with fractions as part of the answer. 26, 31, 35, 39 I can multiply fractions by whole numbers. 2, 3, 32, 35, 40 I can multiply fractions by fractions. 11, 12, 13, 17, 21, 37 I can find the area of a rectangle with sides that are fractions. 23, 27, 33, 38 I can determine what happens to the product in a multiplication problem if one of the factors is decreased or increased. 14, 30, 34, 39 I can compare products mentally by comparing the factors in each problem. 14, 32, 35, 40 I can determine what happens to a given number when: • I multiply it by a fraction greater than 1 • I multiply it by a fraction less than 1 18, 33, 36, 40 I can solve real world problems involving multiplication of fractions and mixed numbers. 25, 33, 36, 39 I can determine the answer to a division problem when dividing a whole number by a unit fraction. I can solve real world problems that require dividing unit fractions by whole numbers greater than 0. 16, 20, 24, 37 15, 19, 34, 38 Measurement and Data I can convert measurement units within the same measurement system. 1, 3, 9, 11, 15, 19, 23 I can solve real world problems involving measurement. 2, 4, 5, 7, 13, 17, 21, 25 I can create and plot data on a line plot. 6, 8, 10, 12, 16 I can solve problems involving information presented on a line plot. 20, 24, 28 I can use multiplication to determine the volume of a right rectangular prism. 14, 18, 22, 30 I can use the formulas to find the volume of right rectangular prisms in real world and mathematical problems. 14, 18, 22, 30 I can find the volume of two non-overlapping smaller right rectangular prisms and add them together to find the volume of the whole right rectangular prism. 26, 27, 29 Geometry I can interpret real world data and graph that data in the first quadrant of a coordinate plane. 11, 15, 17, 19, 23 I can define two dimensional shapes based on their attributes. 2, 4, 6, 7, 9, 10, 13, 14, 18, 22, 24 I can classify shapes according to common attributes. 1, 3, 5, 8, 20, 27, 28, 30 I can classify shapes going from broad definitions to more specific definitions. 12, 16, 21, 25, 26, 29 Credits Borders: Graphics From the Pond http://frompond.blogspot.com Fonts: www.kevinandamandafonts.com. 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