Download syllabus outline for grade 8 2013 2014

The following is a list of objectives for each math unit. Students will receive a
“Unit Organizer” at the beginning of each unit. This will communicate our
objectives and ways to reach these objectives. You will find a sample Unit
Organizer following this packet.
Unit 1:
The Number System
Essential Question: Why is it helpful to write numbers in different ways?
Students will:
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Write rational numbers as decimals and decimals as fractions.
Use powers and exponents to write large and small numbers
Simplify real number expressions by multiplying and dividing monomials.
Solve problems using the four step plan.
Write and evaluate expressions using negative exponents
Use scientific notation to write large and small numbers.
Compute with numbers written in scientific notation.
Interpret scientific notation when using technology.
Find square roots and cube roots.
Estimate square roots of non-perfect squares.
Compare mathematical expressions.
Unit 2:
Expressions and Equations
Essential Question: How can you communicate mathematical ideas effectively?
Unit 2A- What is equivalence?
Students will:
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Solve equations with rational coefficients.
Use a bar diagram to write and solve two-step equations.
Solve two-step equations.
Write two-step equations that represent real-world situations.
Solve equations with variables on each side.
Solve multi-step equations.
Unit 2B: Why are graphs helpful?
Students will:
 Identify proportional and non-proportional linear relationships by
finding a constant rate of change.
 Use a graphing calculator to find rates of change.
 Find the slope of a line.
 Use direct variation to solve problems.
 Graph linear equation using the slope and y-intercept.
 Graph and analyze slope triangles.
 Graph a function using the x- and y-intercepts.
 Write an equation of a line.
 Solve systems of equations by graphing.
 Solve systems of equations algebraically.
 Solve real-world mathematical problems using two linear equations
in two variables.
Unit 3:
Functions
Essential Question: How can you find and use patterns to model real-world situations?
Students will:
Translate tables and graphs into linear equations.
Use the coordinate plane to represent relationships.
Determine whether a relationship is a function.
Find function values and complete function tables.
Represent linear functions using tables and graphs
Determine whether a set of data is continuous or discrete.
Compare properties of functions.
Determine and interpret the rate of change and initial value.
Determine whether a function is linear or nonlinear.
Graph quadratic functions.
Use graphing calculator to graph families of nonlinear functions.
Sketch and describe qualitative graphs.
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Unit 4:
Geometry
Essential Question: How can you use different measurements to solve real-world
problems?
Unit 4A: How can algebraic concepts be applied to geometry?
Students will:
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Identify relationships of angles formed by two parallel lines cut by a
transversal.
Write geometric proofs
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Explore the relationship among the angles of a triangle.
Find missing angle measures in triangles.
Find the sum of the angles measures of a polygon.
Find the measure of one interior angle of a regular polygon.
Find the relationship among the sides of a right triangle.
Use the Pythagorean Theorem.
Solve problems using the Pythagorean Theorem.
Find the distance between two points on the coordinate plane.
Unit 4B: How can we best show or describe the change in position of a figure?
Students will:
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Graph translations on the coordinate plane.
Graph reflections on the coordinate plane.
Graph rotations on the coordinate plane.
Use scale factor to graph dilations.
Unit 4C: How can you determine congruence and similarity?
Students will:
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Use a series of transformations to create congruent figures.
Write congruence statements for congruent figures.
Investigate properties of similar triangles.
Use transformations to create similar figures.
Identify similar polygons
Find missing measures of similar polygons.
Solve problems involving similar triangles.
Relate the slope of a line to similar triangles
Find the relationship between perimeters and areas of similar figures.
Unit 4D: Why are formulas important in math and science?
Students will:
 Find the volumes of cylinders
 Find the volumes of cones.
 Find the volumes of spheres.
 Solve a simpler problem.
 Find the surface area of cylinders.
 Justify the formula for the surface area of a cone.
 Find the surface area of cones.
 Determine how changes in dimensions affect area and volume.
 Solve problems involving similar solids.
Unit 5
Statistics and Probability
Essential Question: How are patterns used when comparing two quantities?
Students will:
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Use scatter plots to investigate the relationship between two sets of
data.
Construct and make conjectures about scatter plots.
Draw lines of best fit and use them to make predictions about data.
Use technology to describe associations in scatter plots.
Construct and interpret two-way tables.
Find the measure of center and variation.
Find and interpret the mean absolute deviation for data.
Analyze data distributions.