Mathematics 10 Polynomials
Specific Curriculum Outcomes
AN01 Students will be expected to demonstrate an understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple, square root, and cube root.
AN04 Students will be expected to demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.
AN05 Students will be expected to demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.
AN01 Students will be expected to demonstrate an understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple, square root, and cube root.
AN04 Students will be expected to demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.
AN05 Students will be expected to demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.
Activities
 Yohaku Algebraic Puzzles  Factoring expressions a polynomials using a puzzle.
 Old Poly  Practice factoring with a polynomial version of the Old Maid card game.

 Finding Factors from NRICH  In a multiplication grid, the headings and the answers have been hidden. Each of the headings is an expression of the form x ± a where a is an integer between 0 and 5. By revealing some of the answers, can you work out what each heading must be?
 The Factor Game from NCTM Illuminations  The Factor Game is a twoperson game in which players find factors of numbers on a game board. To play, one person selects a number and colors it (as shown below in blue). The second person colors all the proper factors (as shown below in red) of the first person's number. The roles are switched and play continues until there are no numbers remaining with uncolored factors. Each person then adds up the numbers they've colored, and the winner is the person with the largest total.

 Factor Card Game  Organize students in pairs. Each student will draw two playing cards (take out the face cards) to create a twodigit number. Player A determines the prime factors of the number and then adds up the prime factors to determine their score. Player B will continue the same procedure. The first player to reach 50 points wins.

