Reading in the

Content Area

CI 540

Dan Martin

• Question:

How can I increase vocabulary understanding in a way that students feel connected and will utilize the information to improve their knowledge of math?

Math Dictionary

Vocabulary with representation

Algebra AB

Math Dictionary

Materials needed:

• 3 ring binder

• subject dividers

• paper

• digital camera, access to internet

Math dictionary procedure

• Define term• Give numerical examples of terms• Create a representation of term

(can be graphic taken with digital camera, internet art, drawing, or anecdotal record)

• Give a written explanation of why you chose to represent the term this way

General outline/ calendar of lessons:Each day includes two class periodsDay 1 – Introduction of Chapter 1

Read Sir Cumference and the Dragon of Pi Brainstorm representations of vocabulary termsDay 2 – MVP Day – Introduce vocabulary words – perpendicular, right angle,

obtuse angle, acute angle Begin Math Dictionary (Diagnostic assessment)– Students will define terms ,use class time to take pictures, access

internet, write explanations, share with partnerDay 3 – Introduce Measuring Angles – give examples to be copied in dictionary

Assign student work – facilitate as neededDay 4 – MVP Day – Introduce terms - circumference, diameter, radius, pi Have students make entries in dictionaryDay 5 - Give sample problems using formula C= 3.14 x D

Formative assessment – Review gameDay 6 - Day 6 – Summative Assessment

Quiz

This is the radius of the moons orbit. It is 240,000 miles.

How do you get the circumference of the moons orbit around the earth.

X diameter

That’s 3.14 x the diameter (240,000 x 2= 480,000)

The circumference of the moons orbit around the the earth is 1,507,200

Then you divide it by 28 days because that is how long it takes for the moon to get around the earth. Which is 53,828

Then you divide that by 24 because there is 24 hours in a day

Which is 2,000 mph

Space shuttle speed 20,000 mph.

The moon needs to be 24,000 miles away from where you take off. So in 12 hours, you will land on the moon.

You divide 240,000 by 20,000

MVP DayMath Vocabulary Project

 

Perpendicular – two lines that make square corners

 +

A tic- tac- toe board has perpendicular lines.

Right angles – angle made by perpendicular lines - 900

A field goal post has right angles on the left and right side.

Acute angle – angle less than 900

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This alligator’s mouth is open at an acute angle.

Obtuse angle – angle more than 900

This seagulls wingspan is showing an obtuse angle.

Circumference – the distance around a circle

     

This lasso is going around the shape of a circle.

Radius – distance from the center of a circle

    

Each spoke of a wheel shows a radius.

Diameter – twice the length of the radius

     

The hands of this clock show the diameter.

Pi – decimal represented by 3.14…

     

Pie is my way of remembering pi. 

General outline/ calendar of lessons

Each day includes two class periods.• Day 1 – Introduction of Chapter 10• Read What Comes in 2’s, 3’s, & 4’s? • Brainstorm representations of vocabulary terms• Day 2 – MVP Day – Introduce vocabulary words – monomial, binomial,

trinomial, polynomial• Begin Math Dictionary (Diagnostic assessment)– Students will define terms

use class time to take pictures, access internet, write explanations, share with partner

• Day 3 – Introduce Adding and Subtracting Polynomials – give examples to be copied by students and placed in dictionary.

• Assign student work – facilitate as needed• Day 4 – MVP Day – Introduce term – Degree of Monomials, Degrees of

Polynomials, • Standard Form• Have students make entries in dictionary• Day 5 – Formative Assessment / Jeopardy Game• Day 6 – Summative Assessment /Quiz

• Monomials – a number, a variable, or a product of a number and one or more variables with whole number exponents.

• One part

• 8 -2x 3xy

• I chose this tree for a monomial because there is just one of them. It is one part of a forest.

• Polynomials – a monomial or a sum of monomials.

• Poly means many and covers all nomials. It is also the term used to describe more than three terms.

• -2x 4x2 – 8x x2 + 4x +2 x4 + 4x3 + 3x2 + 2x +2

• Many different individual crayons make up the whole box of crayons.

Binomials – a polynomial of two terms. 3x + 6 4x2 – 8x

I chose a bicycle because it has 2 wheels.

• Trinomials – a polynomial of three terms.

• x2+ 4x + 2

• 2x2 – 3x – 1

• A stoplight is like a trinomial because it has 3 colors of lights

Degrees of monomials

• Degrees of monomials – the sum of the exponents of the variables in the monomials.

• 3x 4x3 3x2 4xy

1st Degree

• 1st degree – line or linear – exponent of 1

• A pencil is a straight line.

2nd Degree

• 2nd degree – quadratic or parabola – U shaped – exponent of 2

• Horseshoes have a U shape.

3rd Degree

• 3rd degree- cubic-exponent of 3

• Roller coasters go up and down like the wave of 3rd degree monomial.

• Degrees of a polynomial in one variable – the largest exponent of that variable.

• 4x3 – 8x = 3rd degree

• 3x2 + 5x – 9 = 2nd degree

• If you take 3 tests in math and you get to throw out the worst two the test left would be the highest degree.

• Standard form – terms are arranged in decreasing order from largest exponent to smallest exponent.

• 4x3+ 2x2 + 3x + 5 • I drew stairs going

down because it starts at the highest point and goes down to the lowest point.

Now Let’s Play