Core Subject EC-6 Math Content

Tom works half days when he goes in. He has worked a total of 21 days. How many half days does he work to get to 21 days in total? what computation is used to find this?

21 x 1/2

how long will it take to fill a 25 gallon tank in minutes if water is filling 2 quarts every 30 seconds. (4 quarts= 1 gallon)

25 min per 25 gall. 30 seconds for 2 quarts equals 1 minute per 4 quarts equals 1 gallon per 1 minute.

Molly goes back to school shopping. She gets 6 shirts, 4 pants, and 2 skirts. How many outfits can she make?

36 outfits 6 x (4+2)=36)

Jennifer is selling cookies for x amount of dollars a box and she earned $424. What expression represents the number of boxes sold?

424/x

in a class of 300-400 students they are trying to find the percentage of students with blue eyes. Whats the best estimate for 20-30 percent of students with blue eyes?

70 is the best estimate for blue eyes

Malik is trying to mentally compute 25% of 84. What can he multiply by 84 to easily compute?

1/4

when simplified what 3 expressions have equal value?

1/4(120+64) 1/3x162-2/1/4 70+22/17/2-13/2

combine the like terms of problem: 7x-5+4x-3=14

11x-8=14 (add 7x to 4x, subtract -5 by -3)

students have a spinner with equal sections labeled 1 to 5. If 10 groups of students spin 100 times what are the chances the spinner lands on 4 after 100 times spun?

204

when demonstrating socioeconomic diversity in a class students are trying to find the best way to budget for various incomes

allow students to work together to discuss how to spend specific budgets based on various incomes

what activity helps students distinguish between fixed and variable expenses?

categorizing the cost of operating a lemonade stand into expenses dependent on sale volume and those that don't

prime factorization

finding which prime numbers multiply together to make the original number. branches show factors and not sums.

teacher is demonstrating multiplication for the first time. what concept should be introduced first?

first concept introduced should begin with the concrete and move to abstract

students continue unit from the initial spinner lesson. students are asked to research careers that have similar mathematical ideas being used. What scenario demonstrates the math concept applied to careers?

insurance company calculating chance a customer will have a collision

a first grade teacher is asking her students what their favorite foods are. The class comes up with 3 different foods then picks their favorite from there. What visual representation of collected data is most appropriate for students to construct and compare the numbers and values of food picked?

pictograph

which prime factored tree is most accurate

prime factors of 20> 4,5> 2,2

in a linguistically diverse class begins a unit with new terms. How can the teacher reach all students when providing instruction?

provide an explanation of vocabulary before engaging further with terms.

task A and B talk about building a fence for a dog pen (A) and finding greatest are of rectangle with 18 adds up with length and width (B). What additional goal does task A do?

sparks interest

combining like terms

terms that contain the same variables

sociocultural learning theory

theory describes learning as a social process and the origination of human intelligence in society or culture

social leanring theory

theory of learning process and social behavior which proposes that new behaviors can be acquired by observing and imitating others

behaviorism learning theory

theory on how students learn. all behaviors are learned through interactions with the environment

constructivist learning theory

theory that says learners construct knowledge rather than just passively taking in information

reflection on graph

transformation representing a flip of the figure

rotation on graph

transformation representing movement of figure either clockwise or counterclockwise while preserving one point of figure.

translation on graph

transformation representing moving of figure on graph without changing orientation or size of figure

dilation on graph

transformation that changes the size of the figure

a linear equation is written in slope intercept form looks like

y=mx + b