UNIT 7: Classifying Two-Dimensional Figures and Conversions: 5th grade

5.G.3 Understand that attributes belonging to a category of two dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.

5.G.4 Classify two-dimensional figures in a hierarchy based on properties.

5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05m), and use these conversions in solving multi-step real world problems

STANDARDS FOR MATHEMATICAL PRACTICE

Habits of Mind of a Productive Mathematical Thinker (Math Sense Making)

(1) Make sense of problems and persevere in solving them

(6) Attend to precision

Reasoning and Explaining (Math Talk)

(2) Reason abstractly and quantitatively

(3) Construct viable arguments and critique the reasoning of others

Modeling and Using Tools (Math Drawings)

(4) Model with mathematics

(5) Use appropriate tools strategically

Seeing Structure and Generalizing (Math Structure)

(7) Look for and make use of structure

(8) Look for and express regularity in repeated reasoning

SKILLS, FOCUSES, CONCEPTS

Polygons can be described and classified by their sides and angles.

Plane shapes have many properties that make them different from one another.

Relationships between units can be expressed as a ratio.

Place value is used when converting units (i.e., kilometer, meter, centimeter; kilogram, gram, pound, ounce; liter, milliliter; hour, minute, second; inch, foot).

RECTANGLES AND SQUARES

All squares and rectangles have 4 right angles (90 degrees) and two parallel sides

MARCH 23-24, 2017 5.G.3 2-D FIGURES

ENGAGEMENT

Why are right angles useful in life? What do people use them for and why?

GROUP QUESTION:

Label the X and Y axis. Create a shape, name it, and give the coordinate pairs.

EXIT SLIP:

Which 2-D figure has four vertices, 4 edges, and four right angles? Select all that apply. Then draw each figure and label them.

a. Parallelogramb. Rhombusc. Diamondd. Squaree. Rectanglef. Trapezoid

MARCH 27-28, 2017 5.G.4 2-D FIGURES BASED ON HEIRARCHY

ENGAGEMENT

What is a hierarchy and when do we use it?

GROUP QUESTION:

Choose a polygon, plot it, list the coordinate pairs, and tell where you would see it in real life. (Blue group use negative values and divide your graph into the 4 quadrants.)

EXIT SLIP:

How do you get the area of a parallelogram? Why?

MARCH 29-31, 2017 5.MD.1 CONVERT MEASUREMENTS

ENGAGEMENT

Why do you need to convert measurements in real life? What happens if you don’t know how?

GROUP QUESTION

Thor and Carter decided to plant corn in their backyard. The total perimeter is 38 feet. One long side is 12 feet. What are the lengths of EACH of the short sides? Carter says it is 14 feet. Thor says Carter is wrong. Who is right and why? What did one of them do wrong?

EXIT SLIP

Thor and Carter got into a big fight. Carter kirked out and locked himself in a square room. Thor stole the key and won’t let him out until Carter figures out the following problem: The area of the room is 25 feet. What are the lengths of the sides?

April 3-4, 2017 5.MD.1 Convert Measurement units-Multi Step

ENGAGEMENT

When would you need to convert measurements?

GROUP QUESTION

Thor and Carter like to eat of pretzels. It makes them really thirsty though. If Carter drinks 13 oz. on Monday, 19 oz. on Tuesday, and 10 oz. on Wednesday and Thor drinks 18.5 oz. on Monday, 22 oz. on Tuesday, and 14.5 oz. on Wednesday, how many gallons did they drink together? Put in a table and convert. (There are 128 ounces in a gallon.)

EXIT SLIP

How many gallons did Carter drink? How many gallons did Thor drink?

APRIL 5-7, 2017 5.MD.3, 3a, 3b Volume: n cubic units

ENGAGEMENT

What would you need volume for?

GROUP QUESTION

Thor ordered this refrigerator to keep his carrots cold. If the total cubic feet is 5040, what could a possibility for the l x w x h be? (You may use a calculator to figure this out)

EXIT SLIP

If stairs to the front door of a house have 4 steps (the steps are 1 cubic unit high), and the bottom stair has 8 cubes wide and decreases 2 cubes at a time and the front of the stairs are 4 cubes across, what is the volume?

APRIL 10-12, 2017 5.MD.4 Measure volumes by counting cubes

ENGAGEMENT

When would you need to use cubes to find volume?

GROUP QUESTION

Is it possible to have a taller box with less volume? Draw an example and calculate.

EXIT SLIP

What’s the volume of this shape? What is this shape?

APRIL 13-14, 2017 5.MD.5a, 5b, 5c Volume: V=l x w x h

ENGAGEMENT

When would you use a composite figure to calculate volume in real life?

GROUP QUESTION

Thor and Carter’s bedroom is a rectangular prism. The area of the floor is 156 square feet, and the height of the bedroom is 9 feet. What is the volume of Thor’s and Carter’s bedroom?

EXIT SLIP

What is the difference between these two refrigerators?

Refrigerator A: Refrigerator B:

W=3 ft. W= 3 ft.

H= 6 ft. H= 7 ft.

D= 2 ft. D= 3 ft.

APRIL 24-28, 2017 5.NBT.5, 5.NBT.6, 5.NBT.7

ENGAGEMENT

How can you multiply large numbers without a calculator and quickly? (in real life why would you do this?)

GROUP QUESTION: (MP.1, MP.2)

Mrs. I-love-dogs-but-I-am-still-alone is back again and can’t buy enough dog biscuits. She bought 28 boxes of dog treats at the store to share with her dogs. Each box contained a total of 84 biscuits.

What is the total number of biscuits Mrs. I-love-dogs bought at the store this time?

EXIT SLIP:

Ihop had a sale on egg sandwiches last week. The manager spent $120.15 for eggs last week. If each DOZEN of eggs cost $0.89, what was the number of eggs that Ihop bought?

HOMEWORK Thursday MARCH 23, 2017 5.G.3 2-D figures

GREEN, RED, BLUE

Plot the following coordinates: (1,3), (1,6), (6,3), (6,6)

Which of the following does not describe the shape formed by connecting the points above? Draw each one next to the answer choice. On the back EXPLAIN YOUR ANSWER USING MATH VOCABULARY.

A. RectangleB. QuadrilateralC. TrapezoidD. ParallelogramE. Rhombus

RED, BLUE: Plot A-C and give the coordinates (make them up)

BLUE: Plot D-E, give the coordinates and then give the reflection coordinates. Divide your grid into 4 Quadrants

HOMEWORK Friday MARCH 24, 2017 5.G.3 Classifying 2-D figures

GREEN, RED, BLUE (On the back, explain how vertices and edges make up 2-D figures)

Draw each shape: (can be composite figures-2 or more shapes together)

a. 6 right angles

b. 4 right angles, 2 parallel sides, 2 short sides, 2 long sides

c. 2 right angles, 2 parallel sides, 1 slanted side

d. 2 acute angles opposite and diagonal from each other, 2 obtuse angles opposite and diagonal from each other, 2 of the sides are short, and 2 of the sides are longer.

RED, BLUE

Plot the above shapes on a coordinate grid and give the ordered pairs. (blue see extension below)

BLUE

Plot a in quadrant I, plot b in quadrant II, plot c in quadrant III, plot d in quadrant d.

HOMEWORK Monday March 27, 2017 5.G.3 Classifying 2-D figures

GREEN, RED, BLUE: Thor and Carter decided to take an art class. Thor made a frame that has two pairs of parallel sides and right angles. The frame has two different side lengths. Which shape is the frame? DRAW EACH CHOICE! Explain your reasoning using math vocabulary.

A. Rectangle C. SquareB. Trapezoid D. Rhombus

RED, BLUE

Carter said Thor’s frame was ugly. Thor got mad and broke Carter’s frame. One vertice and two sides fell off. There were two right angles left and one set of parallel lines. What was this shape before Thor broke it? Plot the original on the graph and list the coordinate pairs.

BLUE:

Simon tried to make peace between the boys, so he glued both frames together. Now it looks like a hot mess. Create a possible polygon that Simon could have made, plot it using half measurements like 1.5, and make sure it spans into all four quadrants.

HOMEWORK Tuesday MARCH 28, 2017 5.G.3 Classifying 2-D figures

GREEN, RED, BLUE (On the back: Explain how to plot coordinate pairs)

Plot the following points and name as many polygons as you can when you connect the pairs in any order. (1,1), (1,8), (2,5), (4,3), (4,7), (7,3), (7,7), (8,1), (8,8), (9,5)

RED, BLUE

Use the plotted pairs above to create a polygon that has 6 vertices, 4 obtuse angles, and 2 acute angles. Name the polygon and list the coordinate pairs.

BLUE

Give the exact reflection and coordinate pairs of the above polygon. The reflection can be in any quadrant. Use half measurements (ex. 2.5)

HOMEWORK Wednesday MARCH 29, 2017 5.G.4 Classify 2-D figures

GREEN, RED, BLUE: Plot the following pairs on the coordinate grid and choose which polygon BEST describes the points. (4,7), (2,5), (9,5), (7,7) Is this a parallelogram? Why or why not? Explain your reasoning using math vocabulary.

RED, BLUE

Plot 2 identical polygons and list the coordinate pairs, and name the polygon, # of sides, and # of vertices (Blue use negative values, and plot a parallelogram and give me the area)

HOMEWORK Thursday March 30, 2017 5.G.4 Classifying 2-D figures

GREEN, RED, BLUE

A parallelogram is always an example of a: (Draw each of the below and label the angles as right, acute, and/or obtuse) Explain classification of shapes and angles using math vocabulary.

I. RectangleII. RhombusIII. SquareIV. Trapezoid

A. None of the above

B. I, II, and III

C. II

D. I, II, III, AND IV

RED, BLUE

Put two of the shapes together above to create another polygon. Name it and then plot it on the grid, and list the ordered pairs.

BLUE

Put together two of the shapes above to create a hexagon and then find the area (remember the formula for a trapezoid is: ½ (b1 + b2)h find the area as composite figures)

HOMEWORK Friday MARCH 31, 2017 5.G.4 Classifying 2-D figures

GREEN, RED, BLUE

Which of the following is true about a parallelogram? (Draw out each figure by the answer choice)

a. Only two sides of a parallelogram are parallel.b. Parallelograms always have four congruent sides.c. A parallelogram is a quadrilateral.d. Opposite angles of a parallelogram are not congruent.e. A parallelogram is always a square.

Explain your answer choice using math vocabuilary.

RED, BLUE

Plot two trapezoids next to each other to create a parallelogram. List the ordered pairs.

BLUE:

Find the area of each trapezoid separately, then together. Remember the formula for a trapezoid is:

½ (b1 + b2)h

HOMEWORK Monday April 3, 2017 5. MD. 1 Convert measurements

GREEN, RED, BLUE

Carter runs to de-stress. He runs 3.2 miles every day. If it takes him 9 minutes to run a mile, how many minutes does it take Carter to complete his weekly running? (a full week, not a school week). EXPLAIN your strategy using math vocabulary.

RED, BLUE

Thor challenged Carter to shave 1 ½ minutes off his miles. He accepts the challenge. How many hours will he run per week?

BLUE:

Carter decides to train for a half marathon. He must get to a four minute mile if he wants to win. If he can reasonably shave off 45 seconds per mile for each week, how many weeks will it take for him to achieve the 4 minute mile? By the end of this endeavor, how many hours will he run per week?

HOMEWORK Tuesday April 4, 2017 5.MD.1 Convert measurements

GREEN, RED, BLUE

Thor decided to try to train for the decathlon. He ran 3.2 miles every day. If it takes him 9 minutes to run a mile, how many HOURS does it take Thor to complete his weekly running? (Assume he runs ALL week long, not a school week) Explain your strategy using math vocabulary.

RED, BLUE

If Thor wants to shave off 2 ½ minutes from each mile, how many HOURS will he run total if he shaves off 30 seconds each week until he reaches his goal? How many weeks is that?

BLUE

Thor is not able to meet his goal. He is only able to shave off 15 seconds each week. How many days will it take for Thor to reach his goal? How many HOURS will he run total?

HOMEWORK Wednesday April 5, 2017 5.MD.1 Convert Measurements

GREEN, RED, BLUE

Simon plants a rectangular catnip field in his backyard. The perimeter of his backyard is 38 feet. The long side is 12 feet.

Simon estimates that there are 1.5 pounds of catnip in each square feet of the backyard. If this estimate is correct, how many total pounds of catnip are in the backyard? Explain your answer using numbers, symbols, and words.

RED, BLUE

Thor and Carter run through the back yard and ruin 12 square feet of catnip. How much catnip is there now? What is the difference of catnip lost and how can Simon make up the difference?

BLUE

Thor and Carter feel bad that Simon is really mad about his catnip. They offer a patch of their land in the front. The area is 24 square feet. How much fence will Simon need to keep other puppies out? He wants to keep the same area but make Carter and Thor pay more for the fence (they are paying as a peace offering), so what would be the largest perimeter for the most fence?

HOMEWORK Thursday APRIL 6, 2017 5.MD.1 Convert Measurements

GREEN, RED, BLUE

Little Solomon decided to make smoothies. The liquid smoothie recipe calls for ½ gallon of fruit juice, one quart of ginger ale, and one pint of lemonade. How many cups (8 fluid ounces) of liquid smoothie will this make? Explain your answer using math vocabulary.

RED, BLUE

Little Eloy and Little Jordan Hall decided to make a smoothie stand so they could buy popsicles. They decided to use 1 ½ gallons of fruit juice, 3 quarts of ginger ale, and 3 pints of lemonade. How many cups (8 fluid ounces) of liquid smoothie will this make now?

BLUE

Little Mekhi needs to pay for the begonias that he ruined by swinging the dirty boot. He elicits the help of Little Nathan and they decided to sell the smoothie for $5.75 a pint. How much money will they make if they use the second recipe?

HOMEWORK Friday APRIL 7, 2017 5.MD.1 Convert Measurements

GREEN, RED, BLUE

Little Julien needs to purchase 5.6 meters of tape to mark a bin for his pink sheep. If a roll of tape contains 80 cm and costs $5.00, what is the total cost of the tape that Little Isaiah must buy? Show your work. Explain your answer using math vocabulary.

RED, BLUE

Little Patrick and Little Kayla want to create a basketball court and need to use tape to mark off the court. The court needs to be 28.65 meters long by 15.24 meters wide. How many rolls of tape will they need? What will it cost?

BLUE

Little Blondie and Little Ders are the 5th grade accountants. They search the internet for the best deal. Office Depot has a sale and it was buy 2 rolls and get one free. Amazon.com has a 25% off the total. Which one is a better deal? Why?

HOMEWORK Monday APRIL 10, 2017 5.MD.1: CONVERT MEASUREMENTS

GREEN, RED, BLUE

Little Giovanni wants to make a squirrel house. He gets a board that is two yards long. How many 4 inch pieces can be cut from the board? Explain your answer using math vocabulary.

RED, BLUE

Little Sara loves squirrels too. But she thinks that 4 inches is too small to house the squirrels. She cuts 6 inch pieces from the board. How many 6 inch pieces can she get?

BLUE

Little #SpitSpat is trying to figure out a way to make money off this squirrel endeavor. She finds old wood and decides to reclaim it and build the houses to sell. She charges $2.00 per side of the house. How much can she make if she sells the houses? (use information from the above problem to figure this out).

HOMEWORK Tuesday APRIL 11, 2017 5.MD.3a Volume

GREEN, RED, BLUE

Little Shayla and Little Jailynn are on strike and decide to live in a box separately. They want to figure out the volume of the box to see if they can bring their My Little Pony with them. There are three congruent boxes. Use the information from the second and third box the figure out how many cubes are needed to fill the first box. Explain your answer using math vocabulary.

RED, BLUE

Little Ana is the interior decorator and Little Faith is the architect. Little Faith decides to build up so Ana can hang the window treatments. They extend the bottom by 2 cubes wide and deep, and the height by 4 cubes. What is the volume now?

BLUE

Little John decides to capitalize on this box thing and begin to sell Box Real Estate. He charges $16 a square foot. How much will the new box cost when he sells it to Little TJ?

HOMEWORK Wednesday APRIL 12, 2017 5.MD.3a Volume

GREEN, RED, BLUE

Little Evan has been hired by Little Faith to build steps for the Box Real Estate. Little Evan draws the blue prints of the stairs. What is the volume of the model stairs in centimeters? They must be at least 5 steps high and 5 feet across. Calculate and draw the model. Explain your answer using math vocabulary.

RED, BLUE

Little Cole needs to go to the Home Depot to buy materials. If the cubes are a foot and a half, what is the volume?

BLUE

Little Traie wants to charge $5.00 for 2/3 of each foot. How much will he charge for the entire stair case?

HOMEWORK Thursday APRIL 13, 2017 5.MD. 3b Volume

GREEN, RED, BLUE

Little Lily designs a different set of stairs. She is going to build a model of the stairs. What is the volume? They must be at least 6 steps high and four feet across and draw the model. Explain your answer using math vocabulary.

RED, BLUE

Little Eugene is going to go to Lowes to buy materials. If the real stairs use 10 inch cubed blocks, what is the actual volume in feet?

BLUE

Little Laelle charges $1.75 per square inch. What is the total that will Little Laelle receive?

HOMEWORK Monday APRIL 24, 2017 5.MD.4 Volume

GREEN, RED, BLUE

Little Ariana wants to enter a Lego building contest. She only has a certain amount of space and must calculate her volume in order to keep within the regulations. If each Lego is one cubic inch and she creates 4 corners and one block on top in the middle, what is the volume of the figure so far? (4 deep, 4 wide, 1 high) Explain your answer using math vocabulary.

RED, BLUE

Little Alex and Little Keyon want to build a Lego Castle for their unicorns. They decide to build up 8 extra stories, 4 extra deep and 6 extra wide. What is the new volume?

BLUE

Little Blondie is back to make more money so she can buy a potato farm and grow spuds for Lays Company. She wants to charge 60 cents per centimeter. If there are 2.5 cm for each inch, how much can she sell Little Alex and Little Keyon’s castle for?

HOMEWORK Tuesday APRIL 25, 2017 5.MD.4 Volume

GREEN, RED, BLUE

Little Jordynn and Little Julie designs new “live in” boxes for Little TaSean and Little Tony. The models are as follows: Box A is 5 cm high, 3 cm wide, and 2 cm deep. Box B is 6 cm high, 2 cm wide, and 2 cm deep.

1. Draw the models, label the sides. 2. Find the volumes of Box A and B. 3. Which box can hold more cm cubes? Why? Explain using math vocabulary.

RED, BLUE

Little Delonte and Little Glenn wants to actually build the models of the house boxes. He needs to buy them in square footage at the Home Depot. What should Little Delonte and Little Glenn tell the sales associate when he asks her how many feet of wood she needs? (Remember: 1 inch = 2.5 cm)

BLUE

Little Roberto and Little Ethan get a better deal at #WeSellWood.com, except they have to order the materials in meters. How many meters should Little Roberto and Little Ethan order online? It has a strict No Returns Policy so you must be accurate.

HOMEWORK Wednesday APRIL 26, 2017 5.MD. 3b Volume

GREEN, RED, BLUE

Thor and Carter want to trick Simon into thinking that they made him a catnip cake, but they are going to use hollow planks under the small cake. What is the volume Simon thinks he is going to get to eat? What are the numerical equations that equal the volume? (feet) EXPLAIN

RED, BLUE

Thor and Carter start to fight about the volume. Thor wants to build the platform in feet. Carter wants to build in cm. Using the model above, how will the volume change in centimeters? (1 inch=2.5 cm)

BLUE

Carter builds the platform one and two-thirds larger than the original plan (from above). How many feet is this? How many centimeters is this? (Use 2.5 cm=1 inch)

HOMEWORK Thursday APRIL 27, 2017 5.MD.5a: Volume

GREEN, RED, BLUE

Simon builds a giant box to trap the dogs in. The height is 7 feet, width is 4 feet, and depth is 4 feet.

1. Find the volume.

One way to find the volume is to calculate the base first then multiply by the height.

2. Calculate EACH formula below to see which one will give the actual volume.

V= 4 feet x (7 feet x 7 feet)

V= 4 feet x (4 feet x 7 feet)

V= (4 feet x 4 feet) x 4 feet

V= (7 feet x 7 feet) x 7 feet

Explain your answer using math vocabulary.

RED, BLUE

Find the volume in centimeters, then meters.

BLUE

Simon decides to add the neighbor’s dog in the box because the dog won’t stop chasing him. Since the neighbor’s dog is an American Bulldog, Simon needs to make the box three and one-third wider and deeper. The height is okay. What is this new volume in feet, centimeters, and meters?

HOMEWORK Friday APRIL 28, 2017 5.MD.5b: Volume

GREEN, RED, BLUE

Thor and Carter’s bedroom is a rectangular prism. The area of the floor is 205 square feet, and the height of the bedroom is 8 feet. What is the volume of Thor and Carter’s bedroom? They want to know so they can fill it with marbles. Explain using math vocabulary.

RED, BLUE

Thor and Carter start fighting and knock down the wall between their room and the bathroom. The area of the bathroom floor is 64 square feet. The height is 8 feet. What is the total area now of both rooms together.

BLUE

If each marble is ¾ of an inch in volume, how many marbles can they fit in the new extended room?

HOMEWORK Monday May 1, 2017 5.MD 5c: Volume

GREEN, RED, BLUE

Carter wants to buy a new refrigerator to keep his carrots cool and fresh. But he needs to make sure it fits in his kitchen. Thor says that refrigerator A is bigger. Is he correct? Show your work.

Explain your reasoning on the back of the paper.

RED, BLUE

Thor wants to get a French door refrigerator with the freezer on the bottom because he can’t reach the one on the top. Each door is 2 ½ feet wide. The freezer is 2 feet high and the refrigerator part is 4 feet high. The unit is 3 feet deep. What is the volume of this refrigerator compared to the above two?

BLUE

Carter goes to Sears and finds the deal of the day. There is a side by side refrigerator: the freezer door is 2 feet, the refrigerator door is 2 ¾ feet. The height is 6 ½ feet and the depth is 2 ¾ feet. What is the volume? How much does each cubic foot cost if the refrigerator is on sale for $1450.00?

HOMEWORK Tuesday May 2, 2017 5.MD.5b/5c: Volume

GREEN, RED, BLUE

Thor and Carter decide to open a doggie day care. What is the volume of their building?

Explain using math vocabulary.

RED, BLUE

They want to add an ‘infant crying room’ (Carter says it should be at the bottom of a lake but Thor tells Carter to have some patience). The area of the new edition is 72 square feet and the height is 6 ½ feet. What is the total volume now?

BLUE

Thor wants to add a kitchen to serve hot food for breakfast and lunch. The new volume of the kitchen is 720 square feet. What are the individual measurements for the length, width, and height? What is the total volume now, including the original building, crying room, and kitchen?

HOMEWORK Wednesday MAY 3, 2017 5.NBT.5: Multiplying decimals

GREEN, RED, BLUE

Thor and Carter wanted to weigh the new baby whale. It weighed 3,940 ounces. Simon was recording the information in her log and wanted to know how many pounds that is. Help Thor and Carter convert the ounces to pounds. Explain using math vocabulary.

3,940 ounces=__________________ pounds

RED, BLUE

Thor and Carter realize that Mama Whale actually had twins. Her second baby weighed 4,231 ounces. Calculate that into pounds then find out the total amount of pounds of both baby whales.

BLUE

Simon likes baby Zebras better. Those little buggers aren’t as fat as baby whales. If Baby Zebra 1 is 2/5 the weight of Baby Whale 1, what is that in ounces and pounds? If Baby Zebra 2 is ¼ the weight of Baby Whale 2, how much is that in ounces and pounds? What is the total of all the babies together in ounces and pounds?

HOMEWORK Thursday MAY 4, 2017 5.NBT.6: Decimals

GREEN, RED, BLUE

Holly is the contractor for creating a new Baby Zebra habitat. She puts it in a grid form. What would be two possible division sentences for their array? Explain using math vocabulary.

Find the perimeter. How does that compare to the area?

RED, BLUE

Simon thinks the habitat should be two and a half times bigger. What does the new array look like? What is the area? What is the perimeter?

BLUE

If each baby Zebra needs an area no less than four square feet, how many baby Zebra can fit in the proposed area above? Little Mehki is swinging that dirty boot (Jerry) again and it skims across the wet cement grid and ruins 3/8 of it. What is the area now? How many baby Zebras can fit now?

HOMEWORK Friday MAY 5, 2017 5.NBT.7: Decimals

GREEN, RED, BLUE

Carter was planning a trip to the Flan making factory. He asked Alexia and Alexia told him that the Factory de Flan was 442.1 miles away. He allows herself 6.8 hours to get there. How many miles an hour does the car travel? Explain using math vocabulary.

RED, BLUE

Thor didn’t want to go to Factory de Flan. He snuck in and rerouted Carter to the world’s biggest traffic cone making factory. He changed the navigation system to add 105.98 miles to the original trip and 8.7 hours for the trip, then climbed into the trunk to hide. How many miles an hour will Carter drive now?

BLUE

Simon decided to join Carter on his trip. He wants to take a detour to see the World’s largest chair. It brings them 56.7 miles out of the way. If Carter wants to keep the same time schedule, what is the new miles per hour that he will have to drive? Will they be able to keep it at or under the speed limit of 70 mph? Thor folds down the back seats and climbs into the cabin and scares the wits out of Carter and Simon. He stomps on the gas and adds 5 more miles per hour. If he keeps at this pace, how many hours will it take him to get to the factory? How much time does he shave off his trip?