Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
Curated OER
Number and Number Relations
Upper graders multiply numbers by tens and hundreds, and multiply two and three digit numbers by one digit numbers. They participate in a teacher-led lecture and complete examples with the class, complete a worksheet, and discuss the...
EngageNY
Putting It All Together
Shuffle 'em up and deal! Learners practice operations with polynomials using cards they pass around the room. The activity works with pairs or individuals, so it offers great flexibility. This is the fifth installment in a series of 42...
Curated OER
Doughnut Race
Pupils will practice math facts in this fast-paced and fun "Doughnut Race." This fun activity has learners practice their math facts in a face paced game environment. It can be adapted to all mathematical operations by using a poster...
Math-U-See
Algebra 1 Readiness Test
Your learners will appreciate this assessment of basic skill calculations that are prerequisite to Algebra1. Adding, subtracting, multiplying, and dividing procedures are addressed in conjunction with whole numbers, decimals, fractions,...
Del Mar College
Arithmetic of Fractions
Never forget how to add, subtract, multiply, or divide fractions with a two-page document detailing each operation.
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
EngageNY
Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson which includes six...
Curated OER
Transformations and Matrices
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
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.
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have pupils reason abstractly...
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
EngageNY
Multiplying Polynomials
There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This lesson approaches multiplying polynomials from all angles. Build...
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...
Curated OER
Algebraic Fractions
In this algebra worksheet, students factor the numerator and denominator of 20 complex fraction to determine common terms. The first six problems require students to simplify. The final 14 problems require either multiplication or...
Curated OER
College Prep Algebra, Factoring Trinomials
In this algebra worksheet, students factor trinomials into the multiplication of two binomials. All trinomials are in the form 1x^2 +/- bx +/- c.
Curated OER
Calculate the Answer
Students solve basic multiplication or addition facts using a calculator and product cards. They draw a card, read the sum or product, and press single digits on the calculator to display the number on the card.
Curated OER
Morning Math
In this math activity, students solve a variety of problems that include solving equations, subtracting and adding fractions, and using multiplication and division. Students also solve a word problem.
Curated OER
Solving Quadratic Equations
In this quadratic equations worksheet, 9th graders solve and complete 7 different problems that include factoring quadratics. First, they solve for the values of x that make the equation true. Then, students substitute their values into...
Curated OER
Factoring
Ninth graders factor equations and find prime numbers. In this algebra lesson, 9th graders find the factors and prime factors of a number using multiples and relatively prime numbers.
Curated OER
Train Game
In this division and multiplication worksheet, 5th graders complete, by multiple choice, 4 division sentences by choosing the correct quotient from the cars in the train yard. Students choose, by multiple choice, the missing factor in 4...
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