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EngageNY
Comparing Methods—Long Division, Again?
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.
EngageNY
The Long Division Algorithm
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...
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
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!
EngageNY
Dividing by (x – a) and (x + a)
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.
EngageNY
The Division of Polynomials
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.
EngageNY
Mental Math
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math.
EngageNY
Decimal Expansions of Fractions, Part 2
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...
Curated OER
The Remainder Theorem Using TI-Nspire CAS
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...
EngageNY
Finite and Infinite Decimals
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,...
Curated OER
Pascal's Triangle
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...
02 x 02 Worksheets
Inverse Variation
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...
Curated OER
Lesson #106 Logs and Long Division
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...
Curated OER
Square Roots Using a Carpenter's Square
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,
Curated OER
Hoe Long Does it Take to Get to a Star
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...
Curated OER
Test on Sections 9.1-9.3
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.
Curated OER
Unit Rates
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...
Curated OER
The Value of Education
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...
Curated OER
Polynomial Divisions
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.
Curated OER
Nascar Unit Activity 2
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...
Curated OER
Discovering Math: Rational Number Concepts
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...
EngageNY
Circles, Chords, Diameters, and Their Relationships
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...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
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...
Curated OER
Mitosis And the Cell Cycle
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.
Curated OER
Arithmetic Complex Numbers
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.