Operations and Algebraic Thinking
Evaluate the expression: (24 + 7) – (4 + 1)
31-5=26
Round 5.4325 to the nearest thousandth.
5.4
500 meters = ____km
0.5km
Logan ran 2/3 of the race and Jake ran 5/6 of the race so far.
(a) Who has run farther? ________
(b) How much farther has he
run?_______________
a- Jake has run farther.
5/6 is only 1/6 away from the end and 2/3 is 1/3 away from the end and 1/6 is closer to the end or the whole race.
Jake has run 1/6 more of the race than Logan.
134.2 - 78.7 =
55.5
How do you write this expression numerically?
Add 6 to the product of 9 and 2
(9x2)+6 or 6+ (9x2)
11.56 + 3.4 =
14.96
A rectangular fish tank measures 30 cm by 20 cm by 40 cm. What is the volume of the fish tank? Write an equation to match this situation and then solve.
l x w x h
30 x 20 x 40= 24,000 cubic cm
Maddie has 3/4 of a bar of chocolate. She gave her sister 1/2 of her chocolate. How much chocolate did Mattie have left after she gave some to her sister?
Maddie had ⅜ of the bar of chocolate left.
(a) 34.1 x 10^3 = _____
(b) 9234 ÷ 10^2 = _____
a- 10 x 10 = 100; 34.1 x 10 = 340 and 340 x 10 = 3,410
b- 10 x 10 x 10 = 1000; 9234 ÷ 10 = 923.4 and 923.4 ÷ 10 = 92.34 and 92.34 ÷ 10 = 9.234
What are the missing numbers in this pattern?
x- 10, 9, 8, ( )
y- 7, ( ), 5, 4
What is the rule in the pattern?
x-10, 9, 8, 7
y-7, 6, 5, 4
Pattern- x-1 or y-1
84.2 - 13.45 =
70.75
The base of a rectangular sandpit has an area of 8 meters. If the volume of the sandpit is 16 cubic meters. What is the height of the sandpit?
height- 2 meters
(a) Solve
3/4 x 1/3 =
(b) Pick the story context that matches the equation you just solved.
(1) How many 1/3 pieces of ribbon can Laurie make with 3/4 piece of a string of ribbon?
(2) After the birthday party there was 1/3 of the cake left over. Molly ate 3/4 of what was left over the next day. What part of the whole cake did she eat?
(3) If a dog goes 3/4 of a mile in an hour, how long would it take the dog to go 1/3 of a mile?
a- 3/12 or 1/3
b- #2 is correct because we are finding 3/4 of a cake that had 1/3 left over so we are finding 3/4 of 1/3 which is the expression.
A garden is 3 1/3 yards long and 1 3/4 yards wide. Use an open area model to help you find the area of the garden.
3 1/4 square yards
What are the missing numbers in this pattern?
x- 2, 4, 6, ( )
y- 4, ( ), 12, 16
What is the rule in each of the patterns?
x- 2, 4, 6, 8
y- 4, 8, 12, 16
X times 2 or X+2
Y+4
(a) Find the product.
846 x 25 =
(b) Find the product.
84.6 x 2.5=
a- 21,150
b- 211.50
(a) List 2 common attributes of the shapes below.
(b) Identify 2 statements that are true about this shape.
see slide 24 in ACAP review
(a)
All are 4-sided or quadrilaterals.
All have at least one set of parallel sides.
All are polygons. (closed figures with straight lines)
They all have straight sides. (no curves)
All have 4 interior angles.
(b)
This shape has 4 sides. (This is a trapezoid which is a quadrilateral with at least 1 set of parallel sides.)
This shape has a pair of parallel sides. (top and bottom)
Mrs. Smith had 1/2 a caramel pie. She split the pie equally between her 3 children. What fraction of the pie did each child get?
1/6 of the pie
Complete the input/output table using the given rule.
in- 12, 14, 38, 42
Out- (), (), (), ()
Rule: multiply 4
out- 48, 56, 152, 168
(a) Evaluate the expression: 30 + [45 – (6 + 9)] ÷ 6
(b) Write this expression numerically?
subtract the product of 3 times itself from 25
(c) determine which one is greater or equal to without actually calculating the answer. Explain how you know.
(124 x 100) is ___________ (124 x 10 x 10)
a- 35
b- 25-(3x3)
c- they are equal (10x10=100)
solve and create a model
32.80 ÷ 4 =
8.2
00000000 ll 4 groups of 8.2
00000000 ll
00000000 ll
00000000 ll
Identify the following triangles by their side lengths.
See slide 38 on ACAP review
a- scalene
b- equilateral
c- isosceles
(a) 7 4/12 + 5 4/6 =
(b) 7 4/6 - 5 3/4 =
a- 13
b- 1 11/12
(a) Jennifer was saving money to buy a new pair of shoes. She started with $21 and added $8 every week. If the shoes cost $50, how many weeks will it take her to have enough money? ______ weeks
(b) Finish the table to help you solve the problem.
weeks- 0 - 1 - 2 - 3 - 4 - 5 - 6
money- $21 - - - - - -
a- 4 weeks
b-
weeks- 0 - 1 - 2 - 3 - 4
money- $21 -$29 -$37- $45- $53