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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.
Illustrative Mathematics
Interpreting a Division Computation
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
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.
Illustrative Mathematics
Dividing by One-Half
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Curated OER
Division for Third Graders
Explore division and measurement relationships with your math class. They will work in pairs to measure and cut a piece of cord 100 centimeters or longer. Then they cut off equal pieces of less than 10 centimeters until all the cord is...
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...
EngageNY
Mental Math
Faster than a speedy calculator! Show your classes how to use polynomial identities to multiply numbers quickly using mental math.
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
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...
Illustrative Mathematics
Banana Pudding
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...
Curated OER
Boorito!
Delicious Chipotle burritos are a big treat, especially when they are offered for only $2.00. This Halloween-themed learning experience isn't tricky, but learners will need to think critically about division with large numbers in order...
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...
Illustrative Mathematics
Converting Square Units
Jada has a rectangle board that is measured in inches. Young learners confirm their understanding of converting inches to feet. Then they find the area in square feet. Jada thinks she has a short-cut to convert inches square to square...
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
Tens and Ones Fun
Youngsters use their large motor skills to build numbers to 20 in this outdoor, kinesthetic, collaborative activity. Amass cardboard boxes for groups to stack, sort, and bundle into 10s and 1s to show numbers and place value. They'll...
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
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...
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...