Illustrative Math Alignment: Grade 6 Unit 7

Find the factors of the numbers in the Christmas wreath. The possible factors are on the ornaments in the tree. Click on the right factor and earn 5 points. Click on the wrong number and lose two points. Practice your factoring skills and have fun!

Related Resources

In this Easter Egg hunt, students find the factors of a given number from a group of eggs with numbers on them.

Note: The download is the teacher's guide.

Related Resources

In this Easter Egg hunt, students find the factors of a given number from a group of eggs with numbers on them.

Note: The download is the teacher's guide.

Related Resources

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on addition, subtraction, multiplication, and division skills.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

This is part of a collection of math examples that focus on combinatorics and factorial expressions.

Topic

Quadratics

Description

This example demonstrates the factoring of a simple quadratic expression in the form x² + bx + c. The factoring process involves finding two numbers that multiply to give c and add up to b. This method is crucial for solving quadratic equations as it allows us to find the roots (or zeros) of the quadratic function. By setting each factor to zero, we can quickly determine the x-intercepts of the parabola. Factoring is often the quickest and most straightforward method for solving quadratic equations when the coefficients are integers or simple fractions.

Topic

Quadratics

Description

This example showcases factoring a quadratic expression in standard form where a = 1The factoring process involves finding two numbers that multiply to give c and add up to b, considering both positive and negative factors. For instance, if the expression is x² + 5x - 24, we would look for factors of -24 that add up to 5, resulting in (x + 8)(x - 3). This method is particularly useful for solving quadratic equations and understanding the nature of the roots. It demonstrates how the signs of the factors relate to the signs of the roots, enhancing students' ability to analyze quadratic functions both algebraically and graphically.

Topic

Quadratics

Description

This example illustrates factoring a quadratic expression in standard form where b = 0. The factoring process remains the same: finding two numbers that multiply to give c and add up to b, but in this case they add up to 0. For example, if the expression is x² - 13x + 36, we would look for factors of 36 that add up to -13, resulting in (x - 9)(x - 4). This type of example helps students develop their factoring skills with more challenging numbers, preparing them for more complex problem-solving scenarios. It reinforces the importance of considering both positive and negative factors and strengthens algebraic manipulation skills.

Topic

Quadratics

Description

This example shows the factoring of a quadratic expression of the form x2 + bx + c, which is a modified version of the standard form. This type of factoring involves finding the factors of c that also add up to b. This skill is essential for solving more complex quadratic equations and understanding the structure of quadratic expressions. It helps in identifying the roots of quadratic functions that are not in standard form, which is crucial in many applications in physics and engineering where quadratic relationships are common.

Topic

Quadratics

Description

This example shows the factoring of a quadratic expression in standard form, where a = 1. This type of factoring often involves finding the factors of a•c that add up to b. This skill is essential for solving more complex quadratic equations and understanding the structure of quadratic expressions. It helps in identifying the roots of quadratic functions that are not in standard form, which is crucial in many applications in physics and engineering where quadratic relationships are common.

Topic

Quadratics

Description

This example shows the factoring of a quadratic expression in standard form (ax² + bx + c), where a = 1. The factoring process involves finding two numbers that multiply to give a•c (which is simply c in this case) and add up to b. This method is crucial for solving quadratic equations as it allows us to find the roots (or zeros) of the quadratic function. By setting each factor to zero, we can quickly determine the x-intercepts of the parabola. This type of factoring is often the first step in solving quadratic equations and is essential for understanding the structure of quadratic expressions.

Topic

Quadratics

Description

This example shows the factoring of a quadratic expression in standard form (ax² + bx + c), where a = 1. The factoring process involves finding two numbers that multiply to give a•c (which is simply c in this case) and add up to b. This method is crucial for solving quadratic equations as it allows us to find the roots (or zeros) of the quadratic function. By setting each factor to zero, we can quickly determine the x-intercepts of the parabola. This type of factoring is often the first step in solving quadratic equations and is essential for understanding the structure of quadratic expressions.

Topic

Quadratics

Topic

Quadratics

Description

This example demonstrates factoring a quadratic expression in standard form where a ≠ 1, but with a negative middle term. The process still involves finding two numbers that multiply to give a•c and add up to b, but now considering negative factors. For example, if the expression is x² - x - 12, we look for factors of -12 that add up to -1, resulting in (x - 4)(x + 3). This skill is essential for solving a wide range of quadratic equations and understanding the relationship between a quadratic's factors and its roots. It also helps in visualizing how the factored form relates to the graph of the parabola, particularly its x-intercepts.

Topic

Quadratics

Topic

Quadratics

Description

This example demonstrates factoring a quadratic expression where in standard form where a = 1. The process still involves finding two numbers that multiply to give c and add up to b. For example, if the expression is x² - x - 12, we look for factors of -12 that add up to -1, resulting in (x - 4)(x + 3). This skill is essential for solving a wide range of quadratic equations and understanding the relationship between a quadratic's factors and its roots. It also helps in visualizing how the factored form relates to the graph of the parabola, particularly its x-intercepts.

Topic

Quadratics