PRACTICE MAKES PURR-FECT

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1 REVIEW: Percents and Fractions % = 7 0 % = 00 = 7 0 = 7 0 Write as a fraction. Write percent as a fraction in simplest form.. 0% = 0 00 = 0 0 =. 0% = 0 00 = 0 0 =. % = 00 = =. % = 00 = 0 = 0 Write the percent as a fraction in simplest form.. Your school s softball team won 0% of its games. Did the team win more than one-fourth of its games? 0% = 0 0 > Yes, the team won more than one-fourth of its games. 6. 0% = 7. % =. 7% = 9..% = 0. % =. % =. 0% =. % = Write the fraction as a percent.. 0 =. 6 = 6. = 7. = Write the fraction represented by the model as a percent SURVEY Eighteen out of twenty people in a survey said that vanilla ice cream is their favorite flavor of ice cream. What percent is this?. SPANISH LANGUAGE Twelve of the 0 students in your class can speak Spanish. What percent is this? Copyright Big Ideas Learning, LLC Topic 0.

2 REVIEW: Percents and Fractions % = 7 0 % = 00 = 7 0 = 7 0 Write as a fraction. Write percent as a fraction in simplest form.. 0% = 0 00 = 0 0 =. 0% = 0 00 = 0 0 =. % = 00 = =. % = 00 = 0 = 0 Write the percent as a fraction in simplest form.. Your school s softball team won 0% of its games. Did the team win more than one-fourth of its games? 0% = 0 0 > Yes, the team won more than one-fourth of its games. 6. 0% = 7. % =. 7% = 9..% = 0. % =. % =. 0% =. % = Write the fraction as a percent.. 0 =. 6 = 6. = 7. = Write the fraction represented by the model as a percent SURVEY Eighteen out of twenty people in a survey said that vanilla ice cream is their favorite flavor of ice cream. What percent is this?. SPANISH LANGUAGE Twelve of the 0 students in your class can speak Spanish. What percent is this? Copyright Big Ideas Learning, LLC Topic 0.

3 REVIEW: Percents and Decimals % = = 7% Percent to Decimal: Move decimal point to the left places. Decimal to Percent: Move decimal point to the right places. Write as decimal. % = 0. =. % = 0.. % = = 0.% (one-half of one percent). 0. =.%. What percent of the circle graph is represented by the yellow region? 0.6 = 6% The yellow region is 6% Write the percent as a decimal. 6. 0% = 7. % =. 7% = 9..% = 0. % =. % =. 0% =. 0.% = Write the decimal as a percent.. 0. =.. = = 7.. = What percent of the circle graph is represented by the yellow region? ? 0.? ? BUDGET You have set aside two twenty-fifths of your monthly budget for clothing. What percent is this?. SUMMER SCHOOL Eighty-seven percent of the students in your class do not plan to attend summer school. What percent of your class plans to attend summer school? Copyright Big Ideas Learning, LLC Topic 0.

4 REVIEW: Perimeter Perimeter Perimeter = = 0 0 Perimeter = = Find the length of fence needed to enclose the lot. P = (0) + (0) 0 ft 0 ft 6. P = =. P = = = = 00 You need 00 feet of fence. Find the perimeter of the figure.. 90 ft. 6 ft Perimeter =. in.. in.. in. 6. ft ft ft ft Perimeter = Perimeter = 7.. cm. cm. yd 9. ft. cm ft. cm. cm yd Perimeter = Perimeter = Perimeter = 0. RIBBON You are wrapping a ribbon around a rectangular box that is inches long and inches wide. What is the minimum amount of ribbon you need?. COUNTY LINE A county has the shape of a quadrilateral. The lengths of the four sides are 09 miles, 9 miles, miles, and 09 miles. Find the perimeter of the county. Copyright Big Ideas Learning, LLC Topic.

5 REVIEW: Area Rectangle: Parallelogram: A = bh A = bh Triangle: A = bh Trapezoid: A = (B + b)h Area Formulas Area of a Rectangle: A = bh height 0 = ()(0) = 0 square units base. cm cm.6 cm A = (.6 + )() =. cm.. Find the area of the apartment.. cm. in. A = in. A = (.)(.) =.6 in. = 00 ft 60 ft The area is 00 square feet. 0 ft Find the area of the figure.. 0 ft. 6. Area = 0 ft 0.6 in.. in. Area = ft ft ft Area = 7.. yd 9. cm 6 cm cm cm 6 yd yd yd Area = Area = Area = 0. CARPET You are carpeting a rectangular room that is. yards by. yards. The carpet costs $ per square yard. How much will it cost to carpet the room?. COLORADO Colorado is approximately a rectangle that is 0 miles by 0 miles. Is the area of Colorado greater than or less than 00,000 square miles? Explain. ft ft Copyright Big Ideas Learning, LLC Topic.

6 REVIEW: Circles and Circumference circumference C Diameter Radius C = πd C = πr π. π 7 Circles Circumference of a Circle: C = πr = π() r = π 7.. r. in.. d ft. Find the distance around the soccer ball.. cm C = π(.) =.π. in. C = π ( ). ft C = π(.) 70.0 cm The distance is about 70 centimeters. Find the circumference. Round your answer to the nearest tenth in. 79 mi in. 7 Circumference Circumference Circumference cm 0. in.. ft Circumference Circumference Circumference 0. RACETRACK A circular racetrack has a circumference of one mile. What is the diameter of the racetrack in feet?. OLD OAK TREE You have 0 inches of yellow ribbon. The diameter of the old oak tree is inches. Do you have enough yellow ribbon to wrap around the old oak tree? Explain. Copyright Big Ideas Learning, LLC Topic.

7 REVIEW: Surface Areas of Prisms h Surface Area Net for a Rectangular Prism w w h h wh h wh S = w + h + wh w w w w Skill Example. ft ft ft S = ( ) + ( ) + ( ) = = ft Find the surface area of the prism.. Find the surface area of the block. S = ( ) = = 60 cm The area is 60 cm. cm cm cm cm. Rectangular Prism. Rectangular Prism. Rectangular Prism ft ft cm in. 0 ft S = 6 cm 9 cm in. in. S = S = 6. Triangular Prism 7. Triangular Prism. Triangular Prism.7 mm m cm mm m cm m 7 m 6 m cm cm mm mm S = S = S = 9. AQUARIUM How much glass is used to make the four sides of the aquarium? ft 0. AQUARIUM How much glass is used to make the base of the aquarium? Copyright Big Ideas Learning, LLC ft Topic.. ft

8 REVIEW: Volumes of Prisms Base Volume h V = Bh = wh w Volume of a Rectangular Prism V = = units Skill Example.. Find the volume of the block. ft V = Bh cm ft ft V = = 0 ft = ( ) = 0 cm cm cm The volume is 0 cubic centimeters. Find the volume of the prism.. Rectangular Prism. Rectangular Prism. Rectangular Prism ft ft cm in. 0 ft 9 cm in. in. V = 6 cm V = V = 6. Triangular Prism 7. Triangular Prism. Triangular Prism cm mm m 6 m 7 m cm 6 cm mm mm V = V = V = 9. AQUARIUM How much water is needed to fill the aquarium? 0. AQUARIUM There are about 7. gallons in cubic foot. How many gallons of water does the aquarium hold? ft ft. ft Copyright Big Ideas Learning, LLC Topic.

9 REVIEW: Similar Figures B Corresponding angles E Similar Figures Similar figures are the same shape, but not necessarily the same size. A C D F Corresponding sides full size half size Skill Example. Similar Triangles 9 6 = = 6 Ratios of corresponding sides are equal Are the two flags similar? in. They are not similar. 00 in. in. 0 in. Decide whether the two figures are similar m m 0 m 0 m. TENNIS COURTS Are the two tennis courts similar? Explain. Singles Doubles 7 ft 6 ft 7 ft Copyright Big Ideas Learning, LLC Topic. 7 ft

10 REVIEW: Mean, Median, and Mode mode = median =.,,,,,, 6, 7 Mean = =. Averages Mean The scale balances at the mean. Skill Example. mode = median =,,,,,, 6, 7, 7 Mean = = Outlier. What is the mean weight of the bowling balls? = 66 Mean = 66 6 = The mean is pounds. lb lb 9 lb 0 lb lb 9 lb Find the mean, median, and mode of the data.., 6, 9, 0,,, 6,,,. 0,,,,, Mean =, Median =, Mode = Mean =, Median =, Mode =.,,,, 7, 9, 9, 0,, 6. 6., 6., 6., 6.,.9, 6.0, 6.,.9 Mean =, Median =, Mode = Mean =, Median =, Mode = 7.,,,,, 0,.,,, 0,,, 7,,, 9 Mean =, Median =, Mode = Mean =, Median =, Mode = 9. SALARIES The weekly salaries of six employees at a fast-food restaurant are $0, $0, $90, $0, $0, and $00. Find the mean, median, and mode of these salaries. Mean =, Median =, Mode = 0. PUPPIES A litter of puppies is weeks old. Find the mean, median, and mode weights of the puppies. Mean =, Median =, Mode =. lb. lb. lb 6.0 lb.7 lb. lb. lb Copyright Big Ideas Learning, LLC Topic.

11 OPEN OPEN OPEN REVIEW: Converting Customary Units Length ft = in. yd = ft mi = 0 ft Weight lb = 6 oz ton = 000 lb Volume Tbsp = tsp fl oz = Tbsp cup = 6 Tbsp cup = fl oz pt = cups qt = cups gal = qt Customary Units quart gallon GRADE A MILK VITAMIN D half gallon. ft = ft in. = 6 in. ft.. mi =. mi 0 ft = 790 ft mi. lb = lb 6 oz = 6 oz lb. qt = qt cups = 0 cups qt Complete the unit conversion. pint cup. A typical SUV weighs about. tons. How many pounds is that?. tons =. tons 000 lb ton It is 000 pounds. 6. mi = ft 7. in. = ft. mi = ft 9. ft = yd 0. ft = in yd = mi. oz = lb. ton = lb.. lb = oz. 6 cups = qt 6. cups = fl oz 7. 6 oz = gal RECIPES Find the number of cups and the number of fluid ounces QT QT QT cups = fl oz cups = fl oz cups = fl oz. SPEED A parachutist falls at a speed of about miles per hour. Find this speed in feet per second. Copyright Big Ideas Learning, LLC Topic 6.

12 REVIEW: Converting Metric Units Length cm = 0 mm m = 00 cm km = 000 m Weight (Mass) g = 000 mg kg = 000 g Volume L = 000 ml kl = 000 L cm = ml L = 000 cm m = 000 L m =,000,000 cm Metric Units liter quart + cup. m = m 00 cm = 00 cm m. 0.7 km = 0.7 km 000 m km = 70 m. 0 mg = 0 mg g 000 mg = 0.0 g. 70 ml = 70 ml L 000 ml = 0.7 L Complete the unit conversion.. A runner is running in a 00 meter dash. How many kilometers is that? 00 m = 00 m km 000 m = 0. km It is one-tenth of a kilometer cm = m 7. 0 cm = mm. 0. km = m 9. m = cm cm = m. 000 mm = m. 0 g = kg. 0.7 kg = g. 00 mg = g. L = ml ml = L cm = ml METRIC AND CUSTOMARY CONVERSION Use the conversion in.. cm in. cm 6. in. Salamander length cm Flower length in. Toy car length cm. SPEED One mile is about.6 kilometers. What is the speed limit in kilometers per hour? Copyright Big Ideas Learning, LLC Topic 6.

13 REVIEW: Simplifyng Expressions Combine variable terms. x + + x = x + Combine numerical terms. Simplifying Expressions Algebra Tiles. x + x = 7x. + n + = n +. (x + ) (x + ) = x +. ( y ) + ( y + ) = y +. The original cost of a shirt is x dollars. The shirt is on sale for 0% off. Write a simplifed expression for the sale cost. x 0.x = 0.7x The sale cost is 0.7x. 0% Off Simplify the expression. (Remove parentheses and combine like terms.) 6. x + 6x = 7. n + n =. 9x + 6x = 9. (x + ) = 0. 7m m + m =. (x + ) =. (x + 6) x =. ( n) =. (x + 6) (x + 6) =. (x ) + (x + ) = 6. (x + ) (x + ) = 7. (x + ) (x + ) = Write a simplified expression for the perimeter of the rectangle or triangle x 7x n x x 9n x Perimeter = Perimeter = Perimeter =. The original cost of a cell phone is x dollars. The phone is on sale for % off. Write a simplified expression for the sale cost. % Off Copyright Big Ideas Learning, LLC Topic 7.

14 REVIEW: Rates You pay $ for hot dogs. $ Rate = hot dogs $ Unit Rate = hot dog Rates dollars per hot dogs. You drive 00 miles in hours. Your unit rate is 0 miles per hour.. You earn $0 in hours. Your unit rate is $ per hour.. You save $0 in 6 months. Your unit rate is $0 per month.. Janice was inches tall when she was years old. She was inches tall when she was years old. What was her unit rate? She grew inches in years: =. Her unit rate is inches per year. Write the unit rate in words and as a fraction for each situation.. You fly 000 miles in hours. 6. You pay dollars for pizzas. 7. You pay $ sales tax on a $0 purchase. Words Words Words Fraction Fraction Fraction. You earn $ for mowing lawns. Words Fraction Circle the name of the person with the greater unit rate. 9. Maria saves $0 in months. 0. John rides his bicycle 6 miles in hours. Ralph saves $60 in months. Randy rides his bicycle 0 miles in. hours.. Kim earns $00 for working 0 hours.. Arlene scores 0 points on tests. Sam earns $0 for working hours. Jolene scores 0 points on tests. Convert the unit rate.. 60 miles hour = feet second. gallons = hour cups minute Copyright Big Ideas Learning, LLC Topic.

15 REVIEW: Proportions Proportions Proportion: is to as is to 6. The ratio to is equal to the ratio to = Cross products are equal.. = 0. 7 = 7. 0 = is a proportion because the cross products are equal. is not a proportion because the cross products are not equal. is a proportion because the cross products are equal.. You spend $ for tennis balls. Your friend spends $6. for tennis balls. Are the two rates proportional? $ $6. =? balls balls () (6.) The rates are not proportional. Decide whether the statement is a proportion.. 7 = 6.. = 6. = 9. 6 = = 9 0. = + + Complete the proportion.. = 0. 6 =. = 9 Write the proportion that compares the circumference to the radii of the two circles... r r r r 6. COMPARING RATES You spend $0 for T-shirts. Your friend spends $ for T-shirts. Are the two rates proportional? Copyright Big Ideas Learning, LLC Topic.

16 REVIEW: Direct Variation y is directly proportional to x. output scale factor y = kx input Direct Variation For positive values of x and y, as x increases, y increases. y = x through origin y 0 0 x Skill Example. Equation: y = x Table: x 0 y Words: y is twice the value of x.. The amount y of gasoline a car uses is times the number x of miles it travels. 0 Make a table to show this relationship. x y 0 y is directly proportional to x. Complete the table. Then sketch the graph.. y =.x. y = x x 0 y y y 7 x y x x WRITING AN EQUATION Write a direct variation equation for the table.. x 0 6. x 0 y y WALRUS The amount y that a walrus eats is directly proportional to its weight x. A 000 pound walrus eats 0 pounds each day. How much does a 000 pound walrus eat each day? Copyright Big Ideas Learning, LLC Topic 9.

17 REVIEW: Prime and Composite Numbers A prime number has only and itself as factors. The first prime numbers are,,, 7, and. = composite prime factorization Prime Numbers You can use a factor tree to find the prime factorization of a composite number = Prime Factorization. 0 =. = 7. =. 9 = 7. 9 = 9 (Prime) 6. You get a paycheck every weeks. Your annual salary is $0,000. Can you get the same amount for each paycheck? 0,000 = 0,000 is not divisible by, so you cannot have 6 paychecks of equal size. Write the prime factorization of the number. 7. =. 00 = 9. 6 = 0. 6 =. =. =. =. 9 =. = 6. Use a factor tree to find the prime factorization of EQUAL PAYCHECKS You get a paycheck every weeks. Your annual salary is $9,000. Can you get the same amount for each paycheck? Explain why or why not.. LISTING PRIME NUMBERS List all the prime numbers that are less than 0. Copyright Big Ideas Learning, LLC Topic.

18 REVIEW: Sample Space The set of all outcomes of an experiment is called the sample space. The sum of the probabilities of all outcomes in a sample space is. Outcomes A hat contains tiles with the letters P, R, and O. Experiment: Draw a tile. Sample Space: P R O Probabilities: P O R Sum of Probabilities: + + =. You flip a coin. The sample space of the experiment is Heads (H), Tails (T).. You roll a number cube. The sample space of the experiment is,,,,, 6.. You flip a coin and roll a number cube. The sample space of the experiment is H, H, H, H, H, H6, T, T, T, T, T, T6.. A referee flips a coin twice. Find the sample space. Show that the sum of the probabilities of all outcomes is. The sample space is HH, HT, TH, TT. The probability of each outcome is = Find the sample space of the experiment.. Drawing a marble 6. Rolling a cube with letters of the word sample 7. Rolling a number cube twice. Flipping a coin and rolling the cube in Exercise 6 9. BILLIARDS The three balls shown are left on a billiards table. You choose a ball at random, set it aside, and then choose another ball. Find the sample space. Show that the sum of the probabilities of all outcomes is. Copyright Big Ideas Learning, LLC Topic 0.

19 REVIEW: Commutative and Associative Properties Commutative Property Commutative Property + = + (Addition) = (Multiplication) + ( + ) = ( + ) + (Addition) ( ) = ( ) (Multiplication) Associative Property Associative Property. + 6 = ( + ) = ( + ) +. 6 = 6. ( ) = ( ). Use the above properties and mental math to find the sum: = (97 + ) + ( + ) = = 0 The sum is 0. Identify the property. Then find the sum or product = = 0. ( ) = ( ) 9. + ( + ) = ( + ) = + +. = Show how you can use the Commutative and Associative Properties to find the sum or product using mental math =. = =. 9 = 6. COMMUTATIVITY Describe two real-life activities that are not commutative. In other words, you get different results if you switch the order in which the activities are performed. Copyright Big Ideas Learning, LLC Topic.

20 REVIEW: Distributive Property Distributive Property Distribute. ( + ) = + ( + 6) = + 6 (7 ) = 7. (9 + ) = (0 ) = = 6( + 7). 9 = (9 ). ( + + ) = You buy hot dogs for $. each and sodas for $0.7 each. Find the total cost. (.) + (0.7) = ( ) = (.00) = 6 The total cost is $6.00. Use the Distributive Property to rewrite the expression. 7. ( + ) =. ( ) = 9. 9( + 7) = 0. (7 9) =. 6(7 7) =. (7 + + ) = = = MENTAL MATH You buy hot dogs for $.9 each and sodas for $0.7 each. Show how you can use mental math to find the total cost. 9. EXTENSION Does the Distributive Property apply to a combination of addition and subtraction? Decide using the expression (7 + ). Copyright Big Ideas Learning, LLC Topic.

21 REVIEW: Comparing, Ordering, and Graphing Integers zero Number Line...,,,, 0,,,, negative integers positive integers < because is to the left of on the number line is less than or equal to. > is greater than. < is less than. > is greater than. is greater than or equal to 6. The temperature in Seattle is F. The temperature in Denver is 6 F. Which temperature is greater? 6 < 6 is less than The temperature is greater in Seattle. Graph the two numbers. Then compare them using < or > Order the temperatures from least to greatest.. F, F, 0 F, F, F, 0 F. 7 C, C, C, 0 C, C, C Use an integer to describe the real-life situation.. A profit of $ 6. A depth of ft 7. A decrease of F A loss of $ A height of ft An increase of F. BUSINESS LOSS During its first week, a business had a loss that was greater than $, but less than $6. Circle each integer that could represent this loss. $7, $6, $, $, $, $, $, $0, $, $, $, $, $, $6, $7 Copyright Big Ideas Learning, LLC Topic.

22 REVIEW: Coordinate Plane ordered pair (x, y) x-coordinate y-coordinate A y E Coordinate Plane B O x. A (, ) (Quadrant II). B (0, 0) (origin) C. C (, ) (Quadrant III). D (, ) (Quadrant IV). E (, ) (Quadrant I) D Write the ordered pair that represents the point in the coordinate plane. 6. F 7. G. H 9. I 0. J Plot the ordered pair in the coordinate plane. Name the quadrant for the point.. K (, ). L (, 0). M (, ). N (, ). P (, ) F y G H y O x O x J I Copyright Big Ideas Learning, LLC Topic.

23 REVIEW: Adding and Subtracting Integers terms sum 6 + ( ) = Add and subtract. To add a positive number, move to the right. 7 ( ) = terms difference To subtract a positive number, move to the left.. + ( ) = =. ( ) = + = 7. + =. ( ) = + =. ( ) = + = To subtract, change the sign and add. 6. The temperature is F in the morning and drops to F in the evening. What is the difference between these temperatures? ( ) = + = The difference is degrees. Find the sum or difference =. = 9. = 0. ( ) =. ( ) =. + ( ) =. ( ) =. =. + ( 6) = 6. ( 6) = 7. 0 =. ( 0) = Write the addition or subtraction shown by the number line TEMPERATURE The temperature is 6 F in the morning and drops to F in the evening. What is the difference between these temperatures?. SUBMARINE A submarine is 0 feet below sea level. It descends 00 feet. What is its new position? Show your work. Copyright Big Ideas Learning, LLC Topic.

24 REVIEW: Multiplying and Dividing Integers factors product ( ) = 0 Multiply and divide. ( ) = ( ) + ( ) + ( ) + ( ) ( ) = dividend divisor quotient. ( ) =. 6 ( 6) = = 0. 0 =. 6 = 0 same sign, product and quotient positive different signs, product and quotient negative 6. Each of your six friends owes you $. Use integer multiplication to represent the total amount your friends owe you. 6 ( ) = 0 The total amount owed is $0. Find the product or quotient. 7. ( ) =. 7( ) = 9. 0 ( ) = 0. ( )( 7) =. =. ( ) =. ( ) =. ( )( ) =. 6 = 6. 0 ( ) = 7. 9 Complete the multiplication or division equation. =. 0 0 = 9. = 0. =. ( 0) =. = 6. ( 9) = 7. = 96. TOTAL OWED Each of your eight friends owes you $0. Use integer multiplication to represent the total amount your friends owe you. 6. TEMPERATURE The low temperatures for a week in Edmonton, Alberta are C, C, 0 C, C, C, 0 C, and C. What is the mean low temperature for the week? Show your work. Copyright Big Ideas Learning, LLC Topic.

25 REVIEW: Simplifying Fractions = = Divide numerator and denominator by common factor. unsimplified simplified. = =. 6 = =. Five of the students in your class have a Facebook account. Write this fraction in simplifed form.. 0 = = = = = 0 0 = One-fifth of your class has a Facebook account. Simplify the fraction = 7. 0 =. 6 = 9. = =. =. 6 =. 0 0 = =. 0 = 6. 7 = 7. = Shade the model so that the fraction is simplified.. = 9. = 0. FACEBOOK Eight of the students in your class have a Facebook account. Write this fraction in simplified form.. SIMPLIFYING Write five different fractions that each simplify to two-fifths. Copyright Big Ideas Learning, LLC Topic.

26 REVIEW: Comparing and Ordering Fractions = = 9 <? because < 9. Comparing Fractions Find products. <. >. 6 =. < because >. because = 6. because <.. You run seven-eighths mile. Your friend runs eight-tenths mile. Who runs farther? 7 > 0 You run farther. because 7 0 >.. 9 > 7 because 7 > 9. Compare the fractions using <, >, or = Compare the fractions models using <, >, or = MILK You drink six-eighths of a quart of milk. Your friend pours a quart of milk into four -fluid ounce glasses and drinks three of them. Who drinks more?. ORDERING FRACTIONS Order the fractions from least to greatest and graph them on a number line:,,, and Copyright Big Ideas Learning, LLC Topic.

27 REVIEW: Adding and Subtracting Fractions with Like Denominators + = + = Like Denominators Add or subtract numerators. =. + = +. + = + = = 6 = = = = 7 0 = 0. = = =. On Monday, you painted two-fifths of a house. On Tuesday, you painted the same amount. How much is left? ( + = ) = You have one-fifth left to paint. Find the sum or difference. Write your answer in simplified form = = = 9. + = 0. + =. + + =. = = = = = ( 6 + 6) = Find the perimeter of the rectangle or triangle.. ft ft 9. cm cm 0. in. in. in.. m 0 m 0 m 0 Perimeter = Perimeter = Perimeter = Perimeter =. REACHING YOUR GOAL You have a savings goal. In January, you saved of your goal. 0 In February, you saved more. How much of your goal remains? Explain. 0 Copyright Big Ideas Learning, LLC Topic 6.

28 REVIEW: Adding and Subtracting Fractions with Unlike Denominators Find products = + = = + = + = = 7 7 = = = = 6 = = = Unlike Denominators. You ride your bike mile to the store. Then you ride mile to school. How far do you 6 ride altogether? + 6 = You ride mile. = 6 = Find the sum or difference. Write your answer in simplified form = 7. + =. 0 + = 9. + = =. + =. =. 6 =. 9 =. 7 0 = 6. 6 = 7. 6 = Find the total distance from House A to House B and then to House C.. B mi mi 9. A C B mi mi C A 0. WEASEL LENGTH Find the total length of the weasel. yd yd. IMPROVING YOUR SPEED You swam at a rate of mile per hour in March. You swam at a rate of mile per hour in April. How much faster did you swim in April? 7 Copyright Big Ideas Learning, LLC Topic 6.

29 REVIEW: Multiplying Fractions Multiply numerators. = = Multiply fractions. of is Multiply denominators.. = = = 6.. ( ) ( 9 = 9 = 6 7 = ) = = 0 = 0. 7 = 7 =. A recipe calls for three-fourths cup of flour. You want to make one-half of the recipe. How much flour should you use? = = You should use cup flour. Find the product. Write your answer in simplified form = 7. =. 0 0 = 9. = 0. = (. ) ( ) = (. ) =. =. ( ) ( ) =. = 6. = 7. = Find the area of the rectangle or parallelogram.. ft ft 9. cm cm 0 0. in. in.. m m Area = Area = Area = Area =. OPEN-ENDED Find three different pairs of fractions that have the same product. = = = Copyright Big Ideas Learning, LLC Topic 6.

30 REVIEW: Dividing Fractions = = = Invert and multiply. Divide fractions. There are one-thirds in two-thirds. = =. = = =. = = =. 9 = 9. 6 = 6 = 9 = = 6 =. You drive miles in one-half hour. What is your average rate? = = 0 mi/h r = d t Your average rate is 0 miles per hour. Find the quotient. Write your answer in simplified form. 6. = 7. =. 6 = 9. 6 = 0. =. =. 7 7 =. 7 7 =. =. 9 = 6. = 7. Find the height of the rectangle or parallelogram. Check your answers at BigIdeasMath.com cm ft in. cm ft = Area = ft Area = cm Area = 6 in. Area = 0 m. SPEED You drive miles in one-fourth hour. What is your average speed?. MAGNETIC TAPE A refrigerator magnet uses inch of magnetic tape. How many refrigerator magnets can you make with 0 inches of magnetic tape? Explain. in. m 0 m Copyright Big Ideas Learning, LLC Topic 6.

31 REVIEW: Simplifying Complex Fractions A complex fraction is a fraction that contains a fraction in its numerator, denominator, or both. To simplify a complex fraction, divide its numerator by its denominator. Complex Fractions Algebra: Numbers: a b c d = a b c d = a 6 b d c = 6 = 6 =, where b, c, d 0. = = =. = = 0 9 = = 7 = 7 = = 9 6 = 6 9 = Simplify the complex fraction.. 6 = 6. 0 = 7. Check your answers at BigIdeasMath.com 9 7 = = = 0. = =. 9 =. 7 7 =. 9 0 =. 6 = 6. 6 = 7. =. 7 0 = 9. 6 = = Copyright Big Ideas Learning, LLC Topic 6.

32 REVIEW: Comparing and Ordering Decimals is less than is greater than. <.. >. inequality signs Order decimals. Number Line <. because. is to the left of. on the number line...07 > <.. 7,06. > 7, < > Order the weights from least to greatest:. lb,.9 lb,.0 lb,. lb..0.0 lb. lb.9 lb. lb Graph the two numbers. Then compare them using <, >, or = Order the lengths from least to greatest... ft, 9.9 ft,. ft,.7 ft,.7 ft. 0. mi, 0.0 mi, 0.7 mi,.0 mi, 0.0 mi Is the scale balanced correctly?.. lb 6..0 oz 7..9 lb. oz 0.0 kg 0. kg. NUMBER LINE On the number line, shade all values of x for which x. and x Copyright Big Ideas Learning, LLC Topic.

33 REVIEW: Fractions and Decimals 0 = 0. = 0. = 0. = 0. = 0. = 0.7 = 0. = 0.7 = 0.6 = 0. =. 0.6 = 6 0 = = = 7 = 7. = = 0. Write the fraction as a decimal. = = 0 = You put 6.7 gallons of gas in your car. Write this decimal as a mixed number. 6.7 = = 6 You put 6 gallons of gas in your car. 6. = =. = = =. 0 =. =. 6 = Write the decimal as a fraction.. 0. =. 0. = = 7.. = Write the number represented by the model as a decimal and as a simplified fraction.. = 9. = 0. =. GAS You put 9. gallons of gas in your car. Write this decimal as a mixed number.. MULTIPLE FORMS Write the decimal 0. in two ways. One with a denominator of 00 and one with a denominator of 000. Copyright Big Ideas Learning, LLC Topic.

34 REVIEW: Rounding Decimals Round up. Round down. Rounding Round to the nearest tenth. Decision digit is, 6, 7,, or 9. Decision digit is 0,,,, or..6.6 rounds to.6 because.6 is closer to.6 than to.7.. To the nearest tenth:.7 rounds to.. Round up.. To the nearest hundredth: 0. rounds to 0.. Round down.. To the nearest thousandth: rounds to Round up.. Gasoline costs $.99 per gallon. Round this price to the nearest cent. To the nearest cent:.99 rounds to.90. The gasoline costs about $.90 per gallon. Round to the nearest tenth. (The symbol means is approximately to. ) Round to the nearest hundredth Round to the nearest thousandth Round the butterfly s weight to the nearest hundredth of a gram g g 0.00 g Weight Weight Weight 0. PRICE OF GAS Gasoline costs $.79 per gallon. Round this price to the nearest cent.. BUTTERFLY WEIGHTS All species of butterflies weigh between 0.00 gram and grams. Explain why it would not make sense to round some butterfly weights to the nearest hundredth of a gram. Copyright Big Ideas Learning, LLC Topic.