math methods practice

A teacher is working on various geometry concepts and models the following problem with the class: Tony's backyard is 300 feet long and 500 feet wide. Tony wants to put a fence around his yard and estimates that it will cost $40 per foot for chain-linked fence and $65 per foot for wood. Determine the cost for each type of fence. What assessment should a teacher follow up with to ensure students' understand the geometry concept being taught?

A picture frame measures 12 in x 10 in and needs a special type of wood that cost $35 per inch. How much wood will be needed to make the picture frame and at what cost?

Which two manipulatives can be used to help the kinesthetic learner with place value?

Base ten blocks & Play money

A student is solving the following addition problem: 26 + 17 + 34. Which of the following strategies demonstrates conceptual understanding of addition and its properties?

C. The student adds 26 to 34, then adds the sum to 17

surface area

Covering 3D space- wrapping a box, painting a box covering multiple faces of the box

How might a teacher encourage a mathematical connection within the mathematical curriculum when teaching a lesson on regrouping when subtracting?

Demonstrate the similarities between regrouping when adding and regrouping when subtracting

Reasoning & Proof

Evaluate, arguing, investigation

VOLUME

Filling a box, filling a cup

A teacher wishes to gain a comprehensive understanding of students' knowledge of content at the beginning of their kindergarten grade year. Which type of assessment strategy would achieve this result?

Hold individual diagnostic interviews with each student.

Connections

Math and another core subject area, math to real world connections, apply math content outside of the classroom, interconnect

Problem Solvine

Monitor & reflect

A sixth grade math teacher would like the students to explore the concept of absolute value. What tool can the teacher use to help students discover this concept?

Number Line

Students are working with centimeter cubes to construct rectangular prisms and calculate their area. How might a teacher effectively evaluate performance indicators on a four-point performance-based rubric?

Numerically score each performance indicator using a pre-determined framework Always want to look at how a teacher will score or evaluate! It is pre-determined framework.

Communication

Precise language, precision, use math language, think-pair-share

A third grade class is working on "whole minus part equals part" subtraction number sentences. Which example below provides an example of a "whole minus part equals part" model?

Right--Five students leave Mrs. Johnson's math class of twenty-five to attend a pizza party. These are basic subtraction problems. Compares subtraction model is complex-that is when you compare two situations. How many more

A teacher is planning a lesson that will encourage students to explore the Pythagorean theorem and encourage students to draw out the math involved in the Pythagorean theorem. How does this lesson relate to the problem solving standard from the Principles and Standards for School Mathematics

Students will monitor and reflect on the process of mathematics Monitor and reflect—problem solving standard

A teacher is planning a lesson on the following standard: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. The teacher plans to have students add decimals to hundredths using base ten blocks while completing a worksheet. How would an administrator rate the learning activity for its overall quality and alignment with the standard?

The activity is effective, and the standard is aligned

A group of students is presented with a set of numbers with a mean of 8. A teacher adds two values of 5 and one 14 to the set of numbers. How will the original mean change?

The new mean will stay the same Mean- add up the mean divide by the number of numbers We are comparing means with means

Which of the following statements demonstrate correct reasoning about probability?

The probability of drawing a red card from a fair deck is the same as rolling an even number when rolling a fair dice.

Measuring around a circle

circumference kin to going around another a shape it is perimeter. It'll be perimeter or circle.

Representation

model, model a math phenomena

Covering a 2d shape

paintin a wall laying carpet mowing a lawn—AREA