Math
Which type of computation is being modeled with the blocks?
Subtraction with regrouping
Connecting Mathematics
Tessellations- Art Mass- Science Patterns and Symbols- Music Changes in populations- Social Studies Budgets- Businesses
What is the probablity that both a couples last two children will be girls?
1/4
Which of the following answer choices is divisible by 6?
12960
How many pounds of plaster will the teacher need for the activity?
15 pounds
A store is having an end of the year computer sale. What is the total cost of a discounted computer system?
1550.60
What is the multiplicative inverse of 0.5?
2
If he wants to triple the recipe how much baking soda will he need to put in the biscuit mix?
2 1/4 teaspoons
The picture of the garden is shown below complete formula for the perimeter.
2(12)+2(5)=34
The teacher asks the students to investigate the following pattern and write a mathematical fact about the pattern.
24/4=6
Which is a factor of 125?
25
What is the probability that his 5th grandchild will draw a package wrapped in snow paper on the second draw?
2/5*1/4+3/5*2/4
What must go in the table to complete it?
20%
Given the pattern continues in the last two layers use inductive reasoning to predict the pattern in the bottom layer of the triangle
1+3+7+15+31+63+7
continues in the last two layers
1+6+15+20+15+6+1
Samantha works at a clothing store where she receives an employee discount of 20% on all clothing items. She wants to buy a sweater that usually sells for 100 but is on sale for 25%. How much will it be if you apply both?
$60
Which of the following is NOT a method that Jill can use to determine her new salary?
(53241/1.05)+(.05)(53241)
What is the probability of one mom of these surveyed receiving a gift for mothers day this year?
0.12
What is the probablity that a customer will require a color and not a hair cut?
0.36
What is the probability of getting at least two tails in tossing three coins?
0.5
Which choice is a real number?
0^1
What is the solution to the expression: 1^n= ?
1
___/3+2/3=1
1
The area enclosed by the rubber band can be calculated by using which of the following expressions?
1/2 bh
What is the missing number? 4,12,36,108,______, 972
324
Calculate the area of the following figure
35
If W is used to represent the width of the retangle which of the following expresses this relationship?
3w+5=4w+7
Find the slope of the line
4
Find the mean of rainfall for 2011 by using the chart below.
4.87
Which of the following fractions does the parallelogram represent?
4/7
Which model correctly demonstrates the use of the base ten blocks
5+7= 10+2
Which common mistake may NOT occur in the course of students learning to write the value of collection of US coins and bills?
5.67
How many home runs were hit during the entire week?
50
Given that a, b, and c are whole numbers if a/b=4 and b/c=2 what is the value of a/b+c?
8/3
Which expression will help Nissa and Alex determine how many apples are in the first bucket?
?+32=53
The teacher could best help the students understand that the triangle is equivalent to half a square by showing them how to:
create a reflection of the triangle along its longest side
Manipulatives and technological tools
Base ten blocks- offline & online Calculator- offline & online Interactive Whiteboard- online protractor- offline& online web based videos- online
(88837, 12691, 1813, 259,37...) The rule in this pattern is_____
divided by 7
What are two acceptable forms of rounding numbers which teachers are required to teach as dictated in the TEKS?
Estimating numbers and finding compatible numbers
Which of the following situations would be the most applicable for the students?
For students to shop in the class store and count out the money needed to make the pretend purchases
What would be the best approach in assigning a purchase?
Have the class research products online such as stereos, game stations, and etc, and choose an item they would like to purchase
Joelle and her friends are planning to visit the zoo in the neighboring town. They know the price of each student ticket os $5 and each adult ticket is $7. If Joelle and 7 of her friends visit the zoo with two parents what will be the final costs of the zoo tickets? What method could the student use to most efficiently solve this problem?
Multiply five times eight then multiple seven times two then add the two products together
Which could be used to find two consecutive even numbers whose sum is 80?
No solution
is the graph of a circle a function? Describe why or why not.
No. It does not pass the vertical line test
When considering the use of calculators for math exercises Mr. Jansen should keep in mind that-
Once students have demonstrated that they know the correct way to perform math calculations they should be allowed to use a calculator
In order to relate rounding numbers to a real life situation the teacher is taking the class on a virtual field trip of a grocery store. The class has been divided into groups and given a list f items to purchase with a set budget. The students are to shop the store and use metal math with rounding to assess if the budget they have been given is adequate to purchase the needed items. The students have a set amount of time to complete the assignment. Which mathematical processes would be applicable in this activity?
Rounding to the whole number addition of whole numbers subtraction of whole numbers
The teacher is introducing comparing whole numbers in terms of greater than and less than. The teacher brings to class ads from two different grocery stores. The teacher instructs the students to find three items that appear in each ad and compare their prices. What mathematical comparative language should the students use to compare prices?
The oranges at store A are less expensive than the oranges at store B
Why is modeling the data collection and experiment important for the development and comprehension of the concept of probability?
The teacher knows to model and demonstrate a concept in terms that students can see and feel and makes the concept more tangible and real for the students and to model with correct vocab introduces the student to mathematical language needed as they continue to explore concepts throughout mathematics
What could be the teachers goal with this method?
The teachers goal is to use the concept of learning through play in order to strengthen the students number sense and introduce algebraic reasoning
How could Johnny and his classmates check for reasonableness?
They can conclude that Elyse must be younger than her mom so they could subract 32-26= Elyses age or 6 and then check by plugging in Elyses age to see if 32-6=26
Which of the following best describe the reason Mrs. Wilson most likely chose the tasks for her students?
To increase students speed and accuracy in solving problems
If the price of selling a pair of shoes is represented by the expression (300-x) where x is the number of shoes sold the revenue function is R(x)= -----
X(300-x)
What would be the next step for the teacher in this lesson series?
in order to support the previous days lesson the teacher should model adding two digit numbers by drawing base ten blocks to show the steps to adding then have the students solve some problems on their own by drawing the base ten blocks to solve additional two digit addition problems
This approach best demonstrates Mr. Jansens understanding that-
instruction in math should build on existing knowledge of math
Which kind of function a they mature in their mathematical knowledge?
linear functions
What is another way to say average in mathematics?
mean
What steps might the students take in order to solve the problem?
partition the figure into two rectangles by drawing a horizontal imaginary line then solving for the area of each rectangle and adding them together
In looking for patterns and relationships within the data for which variables will the teacher be looking?
patterns in assessment grades over time and within similar concepts
10x+5
solve for the value of x
find the sum of the following: 2/9+1/4+1/6
23/36
How much will amber spend on dog food in a year?
2210
What would be the best approach for the teacher to respond to the answer?
Congratulate the students on their efforts of critical thinking though a tough question and their ability to calculate the area correctly. Follow up with a mini lesson on multiplication property of zero. Let students work in pairs to analyze if they want to change their answers for the domain.
2,4,8,16,32,64
I can see the pattern increases so i must need to add or multiply. if i add 2+2 it equals 4 but if you add 4+2it equals 6. so i can multiply 2*2=4 and 4*2=8. the pattern is to multiply by 2
Mrs. Frankie plans to assess her third grade math students over two digit by one digit multiplication. After introducing the concept and allowing students a few days to become familiar and comfortable with the steps Mrs. Frankie will assess the students through a daily work assignment then a test. She has also planned a project for the students in which she has prepared a rubric by which the stduents will be graded. How does using a variety of assessment tools aid Mrs. Frankie in knowing her students understanding of the concept?
It allows Mrs. Frankie to evaluate mathematical understanding and discovering misconception and error patterns.
What is one way teachers can work towards reform in mathematics education?
Teachers can design learning environments to allow for mathematical discussion and the connection of mathematical ideas
Which of the following would not be an important indicators towards learning place value within the Base ten numbers system?
adding by ones
students in a 4th grade class are working with geoboards. Each geoboard has a grid drawn on it and a peg at each intersection of the grid. Students stretch rubber bands around the pegs to create shapes. One students shape is shown below. The teacher shows the student how to add the squares and fractions of squares enclosed by the rubber band to count the total number of squares with the triangle. This activity would best promote the students understanding of which of the following geometry concepts?
area
Which TEK would be best supported by this activity?
collect, sort, and organize data into two or three categories
Which of the following sets of manipulatives best describe those that can effectively be used to teach this concept?
color tiles, cubes, cuisenaire rods, tangrams, pattern blocks, 2 color counters
Which of the following two properties of numbers did Jamie use to solve this problem?
commutative and associative
Which of the following is NOT a prerequisite for children to recognize patterns?
compare sets
What is a technique she might suggest to help her students learn estimation?
doubling
What are two acceptable forms of rounding numbers which teachers are required to teach as dictated in the TEKS?
estimating numbers and finding compatible numbers
Which of the following would be the fifth part of the process model?
formulating a plan or strategy
Which of the following does not have any perpendicular lines
pentagon
A first grade teacher is planning a lesson to engage algebraic reasoning for the students. The teacher will first model two sides of an equation using base ten blocks then write the equation for the students to see the relationship between the model and the expression. What other model would be beneficial for students in making connections between the concrete and the abstract in algebraic reasoning?
pictorial model
What standard are the students exploring through their investigation?
probablity and statistics to investigate real-world problems
In order for students to see the difference in the fractional parts how might the teacher represent this with the shaded regions?
provide students with three rectangles one cut in halves one in fourths and in eighths
The greatest benefit of providing elementary students with mathematical tools such as geoboards is that these tools-
provide students with visual representations that promote their conceptual understanding
Figure 2 represents a _______ of figure 1
rotation
This suggests that the ancient egyptians had developed techniques for which the following?
solving algebraic equations in one variable
Cuisenaire rods is a type of manipulative most effectively used to teach which of the following concepts?
sorting, ordering, counting, number concepts, comparisons, fractions, ratio, proportion, place value, patterns, even and odd numbers
Which of the following indicates different forms of a number a student could use?
standard form, word form, expanded form, expanded notation
How should the students solve for the area of the room?
students should multiply the length by the width to find the number of square feet
Which of the following assessment methods would be least appropriate for achieving this goal?
summative
Which of the following is NOT one of those strategies?
ten frame
Which of the following statements about the rectangle must always be true?
the perimeter is an even number
What conclusions can be drawn from the graph below?
there are 40 first graders who like red chocolate coated candies there are 50 first graders who like orange and yellow chocolate coated candies
Which factor would indicate the importance of teaching rounding and estimation within mathematical computation?
to make sense of problems and persevere in solving them
What should the next step of the algorithm be?
total amount invested- principle
What type of matching relationship is this task?
transformations
Figure 2 represents___________ of Figure 1
translation
Which congruent transformation is shown here?
translation
Which figure is two dimensional?
triangle
Which of the following is an example of translation?
two triangles pointing in same direction same size
On which day were the most home runs hit?
wednesday
Which of the following would not be considered an acceptable form of mathematical representation?
written sentence
Which expression might the students have written?
x+6=y
Which of the following is NOT a proper way to denote multiplication?
x9