Lesson Plan
EngageNY

Comparing Methods—Long Division, Again?

For Students 10th - 12th Standards
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Lesson Plan
EngageNY

The Long Division Algorithm

For Students 8th Standards
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
Lesson Plan
EngageNY

Mental Math

For Students 10th - 12th Standards
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math. 
Lesson Plan
EngageNY

Decimal Expansions of Fractions, Part 2

For Students 8th Standards
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson plan in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize...
Lesson Plan
Curated OER

The Remainder Theorem Using TI-Nspire CAS

For Teachers 9th - 12th Standards
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
Lesson Plan
EngageNY

Finite and Infinite Decimals

For Students 8th Standards
Explore the patterns of fractions that produce finite and infinite decimals. The sixth instructional activity of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns,...
Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
Students explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
Lesson Plan
02 x 02 Worksheets

Inverse Variation

For Teachers 8th - 10th Standards
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
Lesson Plan
Curated OER

Lesson #106 Logs and Long Division

For Teachers 12th
  Students investigate a method of evaluating integrals using long division.  In this calculus lesson plan, 12th graders examine a method of using long division to perform integration.  The lesson plan includes a bingo...
Lesson Plan
Curated OER

Square Roots Using a Carpenter's Square

For Teachers 6th - 8th
Young scholars calculate the square root of a given number using carpenter's square measurements. In this math activity, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
Lesson Plan
Curated OER

Hoe Long Does it Take to Get to a Star

For Teachers 8th - 11th
Students calculate the distance in light years. In this geometry lesson plan, students solve problems involving distance, using the distance formula. They rewrite big numbers using scientific notations and apply their knowledge of...
Lesson Plan
Curated OER

Test on Sections 9.1-9.3

For Teachers 11th - 12th
Students assess their mastery of integration techniques. In this calculus lesson, students solve problems by integration by parts, long division, and inverse trig.  There are 2 versions of the same test.  
Lesson Plan
Curated OER

Unit Rates

For Teachers 9th - 10th
Learners calculate unit rates with fractions and whole numbers. In this algebra instructional activity, students compare numbers, perform long division, and calculate the rate of different units through conversions. They model some of...
Activity
Curated OER

The Value of Education

For Teachers 5th Standards
The real value of education is highlighted in more than one way on a worksheet designed to not only add, subtract, multiply, and divide decimals to hundredths, but also to address the correlation between higher pay...
Lesson Plan
Curated OER

Polynomial Divisions

For Teachers 8th - 10th
Pupils factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Lesson Plan
Curated OER

Nascar Unit Activity 2

For Teachers 8th
Eighth graders divide into groups of 4 or 5. They go to the track and have every student run/walk one lap around the school track. Call out their times as they cross the finish line. In the computer lab, have the students create a table...
Lesson Plan
Curated OER

Discovering Math: Rational Number Concepts

For Teachers 10th - 12th
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution instructional activity, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use...
Lesson Plan
EngageNY

Circles, Chords, Diameters, and Their Relationships

For Teachers 9th - 10th Standards
A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords...
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Lesson Plan
Curated OER

Mitosis And the Cell Cycle

For Teachers 6th - 10th
Students determine the approximate time a cell spends in each phase of mitosis by counting cells in each phase from a prepared slide. They use a few simple calculations to estimate how long cells spend in each cycle in the body.
Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.