Unit 8: Is There a Point to This?

This unit uses algebraic concepts along with the rules related to radical expressions to explore the coordinate plane.

Unit Focus

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Real and Complex Number Systems

• Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Lesson 1: Distance

We will explore the relationships that exist between points, segments, and lines on a coordinate plane. Utilizing the formulas for ?nding distance, midpoint, slope, and equations of lines, we can identify the ways in which points and lines are related to each other.

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Rational Expressions and Equations

• Simplify algebraic ratios.

Lesson 3: Slope

Reading Process

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Linear Equations and Inequalities

• Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.

Geometry Body of Knowledge

Points, Lines, Angles, and Planes

• Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Lesson 4: Equations of Lines

Reading Process Strand

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process Strand

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Real and Complex Number Systems

• Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Linear Equations and Inequalities

• Rewrite equations of a line into slope-intercept form and standard form.
• Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form.
• Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.

Lesson 5: Parallel and Perpendicular Lines

Reading Process Strand

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process Strand

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Linear Equations and Inequalities

• Write an equation of a line given any of the following information:two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.

Geometry Body of Knowledge

Points, Lines, Angles, and Planes

• Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.

Lesson 6: Point-Slope Form

Reading Process Strand

Vocabulary Development

• The student will use new vocabulary that is introduced and taught directly.
• The student will listen to, read, and discuss familiar and conceptually challenging text.
• The student will relate new vocabulary to familiar words.

Writing Process Strand

Prewriting

• The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn diagram, web, story map, plot pyramid) to develop a personal organizational style.

Algebra Body of Knowledge

Real and Complex Number Systems

• Use the zero product property of real numbers in a variety of contexts to identify solutions to equations.

Linear Equations and Inequalities

• Rewrite equations of a line into slope-intercept form and standard  form.
• Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.

Geometry Body of Knowledge

Points, Lines, Angles, and Planes

• Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.