NC.4.G.1

• Why do you think points, lines, line segments, rays, angles, parallel lines, and perpendicular lines are considered to be the building blocks of geometry?

• Where in life might you find parallel lines? Where might you find perpendicular lines?

NC.4.G.2

NC.4.G.3

• How do you know that a figure is symmetrical?

• What figure can you create that has exactly 2 lines of symmetry? 3 lines of symmetry?

• How many lines of symmetry are in a regular hexagon? In a circle? (This should lead to a discussion of when there are an exact number of lines of symmetry and when there could be infinite solutions.)

• Think about nature, what are three examples of objects with symmetry?

• In what situation is it important for things to be perfectly symmetrical?

• Are all polygons symmetrical? All quadrilaterals? All triangles? Sketch examples to show symmetrical as well as non symmetrical figures.

• Can you create a design that is made up of three shapes and is still symmetrical? What about with four shapes? Five shapes?

NC.4.MD.6

• Explain to someone who has never used a protractor, how to use the protractor. How do you know which set of numbers to use on a protractor

• Jake measured an angle at 110 degrees, but realized that it was an acute angle, what could Jake have done wrong?

• What angle could you draw that is greater than 46 degrees but less than 90 degrees? Sketch your angle.

• Using a ruler, draw any triangle on your paper. Now measure the three angles using a protractor. Compare your angles with a neighbor’s angles. What do you notice if you both find the sum your three angles?

• A local restaurant wants to build a ramp for special needs customers to use to get up 6 stairs (see image). John says that a longer ramp would allow the angle to be smaller. Jodi says that the length of the ramp does not affect the angle. Who is correct and why? What is the connection between the length of the ramp and the degrees of the angle? Is this always true?

NC.4.MD.1

• What patterns do you notice between different systems of measurements? For example, relationships between km, m, cm, kg, and g?

• Yesterday, I ran less than 5 kilometers but more than 1,200 meters. How far could I have run?

• Kay has 2 ½ feet of ribbon.How many inches is that?

• What is an equivalent measurement to 3 yards? Is there another possibility?

• When would you use kilometers to measure something? When would you use centimeters?

• What unit of measurement makes sense to measure the height of a giraffe? Why is it important to use different units of measurement in different situations?

• How are a meter and a yard alike? How are they different?

• How do you know that 3 feet 6 inches is less than 48 inches?

• Which one doesn’t belong? Write an explanation to explain your answer. (1 foot 6 inches, ½ yard, 18 inches, 2 feet 1 inch)

NC.4.MD.2

• If I saw a movie that was 2 hours and 37 minutes long, what time could I have entered the theatre and what time could I have left the theatre?

• Julianna bought a bag of candy at the movie theatre. She spent less than 75/100 of a dollar but more than 5/10 of a dollar. How much money could Julianna have spent on candy? Give your answer in decimal form. What is another possible answer?

• Malachi rode his bike 268 meters to his friends house. He then rode his bike half a kilometer to the park. How many total meters has Malachi ridden on his bike? Represent your answer using a model, drawing, or other representation.

• 1,000 pounds is the answer, what could be a story problem for this answer?

• At the fair, the puppet show started at 8:38am and ended at 10:45am. Storytime was ¾ hour longer than the puppet show. How long was storytime?

• Four jugs have water in them: Jug A has 36.5 quarts, Jug B has 144 cups and Jug C has 8 ¾ gallons. Order the jugs from least to greatest.

NC.4.MD.8

NC.4.OA.5

NC.4.NF.6

• What is the relationship between decimals and fractions?

• Is it easier to convert a fraction to a decimal when the denominator is a multiple of 10? An even number? An odd number?

• Rewrite this number sentence using decimals : 40/100 + 2/100 = 42/100.

• Write three decimals that are in between ¼ and ¾? How do you know your answer is correct?

• Name two decimals that occupy the same point on a number line?

NC.4.NF.7

• How does your knowledge of fractions and/or place value help you compare decimals? Use the comparison of .6 and .36 in your response.

• Write four decimals that are in between .3 and .67?

• What decimal could be less than .7 but have a 9 in it?

• How can you arrange the digits 5,3,0 to create the smallest/largest decimal possible? How can you arrange these digits to create a decimal between .5 and .9?

• Megan has a collection of dimes and pennies and Jennifer has 64 pennies. Megan is arguing that she has more money even though she has less coins. What coins could Megan have that would make Megan correct? What coins could she have that would make Megan incorrect?

• How do you know that 0.04 < 0.40?

• When could .6 be smaller than .3? (e.g., .6 of a meter vs. .3 of a kilometer)

• What digits could be placed in the blank to make the number sentence true? 0.43 > 0.__9