Numerical Reasoning
What is the largest 4-digit number you can write using the digits 2, 4, 6, 8 without repeating any digit?
8,642
There are 324 horses at the farm. 150 horses go to the meadow. How many horses are left at the farm?
174
What is a unit fraction?
Any fraction where 1 is the numerator.
What is a right angle?
A right angle measures 90 degrees. It is the corner of a shape that is required to make certain shapes such as a square and a rectangle.
Find the area and the perimeter of a shape with side lengths of 9 inches and 8 inches
The area is 72 square inches, and the perimeter is 34 inches.
In a baseball tournament, the Angels scored 428 runs. Round this number to the nearest ten and the nearest hundred.
tens 430
hundreds 400
A farmer has 785 bales of hay. He feeds 267 bales to the horses. How many bales of hay does the farmer have left?
518
Can you explain how multiple copies of a unit fraction form a non-unit fraction? Give an example if needed.
Multiple copies of a unit fraction can be made to represent one whole by adding the needed number of parts.
1/4+1/4+1/4+1/4 = 4/4
Compare and contrast a square and a rectangle. How are they similar? How are they different?
A rectangle and a square are both quadrilaterals with 4 right angles and opposite sides the same length. The difference is that a square has all 4 sides that are the same length.
Give the formula used to find the area, and the formula used to find perimeter.
Area = Length x Width
Perimeter = Length + Width + Length + Width
During a baseball game, the Blue Jays scored 576 runs, and the Red Sox scored 682 runs. Write both scores in expanded form.
Red Sox 600+80+2
Explain the relationship between multiplication and division?
Multiplication and division are inverse, or opposite, operations. They act as a fact family so that I can figure out unknown problems.
Compare 1/3 and 1/4 using visual models such as area models or number lines.
Answers will vary but wholes must be the same size for the fractions to be compared.
1/3 > 1/4
1/3 is greater than 1/4
Create a polygon with at least two lines of symmetry. Justify why your polygon has that number of lines of symmetry.
Answers will vary.
Explain why multiplying the dimensions of a rectangle provides the area.
The Yankees scored 895 runs this season, and the Dodgers scored 789 runs. Use the symbols >, =, or < to compare the number of runs each team scored.
895 > 789
895 is greater than 789
Explain what the commutative property and the associative property are in multiplication.
Communitive property tells me that my factors can change position and my product will stay the same.
Associative property allows me to break a larger number into two smaller factors so that I can solve the problem easier.
John says that 2/6 is the same as 1/3. Amber said he is wrong, because they are different numbers and that doesn't make sense. Who is correct and how do you know?
2/6 = 1/3
John is correct.
Pictures or explanations can be used
Design a 3-dimensional figure that contains quadrilaterals as faces. Explain how you chose the quadrilaterals for the figure.
Cube
There is a rectangle with a perimeter of 28 units. One side is 7 units. Find the area of the shape by determining the other side length.
The area would be 49 square units.
Annie says that any time a number is rounded to the nearest hundred, the rounded number is always smaller than the number that was rounded. Is she correct? Explain your answer and give an example.
Annie is incorrect. Sometimes a number will become smaller when rounded, but sometimes it would go to the next hundred. For example, 340 would round to 300, resulting in a smaller number, but 360 would round to 400, resulting in a larger number.
This shows me that someone has started to break down the number ten. To expand and finish this problem, I would do (4 x 7) + (4 x 3) to get 28 + 12 = 40
Find two fractions equivalent to 1/3.
2/6
3/9
4/12
5/15
Draw the pyramid that we used to classify quadrilaterals and write the attributes of each shape as well.
Drawing will be checked by teacher.
Anna put two rectangles together to make a new shape. Before she put them together, she measured each rectangle independently. The first rectangle was 4 inches long and 7 inches wide, the other rectangle was 12 inches long and 4 inches high. What is the area of the shape she created
4 x 7= 28
12 x 4 = 36
28 + 36 = 64