Unit 1: Number Sense (12 days)
- Students can convert a decimal expansion for a given rational number.
- Students can solve and evaluate square roots of small perfect square and cube roots of small perfect cubes as solutions to equations.
- Students can identify numbers as rational or irrational numbers.
- Student can use rational approximations of irrational numbers to estimate, compare and locate on a number line.
Unit 2: Pythagorean Theorem (13 days)
- Students can explain a proof of the Pythagorean Theorem and its converse.
- Students can apply the Pythagorean Theorem to find unknown side length in a right triangle.
- Students can apply the Pythagorean Theorem to find distance between two points in a coordinate plane. (8.G.8)
- Students can apply the Pythagorean Theorem to find unknown side length in a right triangle for 3D figures.
Unit 3: Solving Linear Equations (15 days)
- Students can give examples of linear equations in one variable with one solution, no solution or infinitely many solutions.
- Students can solve linear equations in one variable.
Unit 4: Proportional Relationships (9 days)
- Students can graph a proportional relationship and determine the slope, interpreting it as a unit rate of the data.
- Student can use similar triangles to explain why the slope of a linear relationship is the same between any two points.
- Students can derive the equations y=mx for a line through the origin and the equations
y = mx + b for a line intercepting the vertical axis at b.
- Students can compare two different proportional relationships (including graphs, table, equation and a verbal description)
Unit 5: System of Equations (16 days)
- I can solve systems algebraically and estimate solutions by graphing the equations of two linear equations in two variables. (4-5 days)
- Students can solve simple cases of linear equations by inspections.
- Students can solve real-world and mathematical problems leading to two linear equations in two variables.
Unit 6: Linear Functions (12 days)
- I can identify a rule that assigns to each input exactly one output. (8.F.A.1)
- I can identify if a graph is a function. (8.F.A.1)
- I can compare properties of two functions represented in different ways. (8.F.A.2)
- I can use equations and graphs to determine if a function is linear or not linear. (8.F.A.3)
Unit 7: Scatter Plots (11 days)
- Students can construct and interpret scatter plots for bivariate data. (8.SP.1)
- Students can describe patterns in graphical representations of data. (8.SP.1)
- Students can informally fit, use and interpret a line of best fit or its equation to solve problems. (8.SP.3)
- Students can construct and interpret a table to describe a possible association between two variables.(8.SP.4)
Unit 8: Integer Exponents/Scientific Notation (10 days)
- Students can explain and apply the properties of zero and negative exponents. (8.EE.1)
- Students can explain and apply the product and quotient of like bases property. (8.EE.1)
- Students can explain and apply the power to power property and product to a power property.(8.EE.1)
- Students can explain and apply integer exponent properties to solve problems involving exponents. (8.EE.1)
- Students can write large and small numbers in scientific notation. (8.EE.3)
- Students can determine how many times larger one number is than another using scientific notation. (8.EE.3)
- Students can perform operations with numbers expressed in scientific notation. (8.EE.4)
- Students can use scientific notation and choose units of appropriate size for measurements. (8.EE.4)
Units Not Covered in 6th Grade:
Percent in the Real World (Math II Class)
Scale Unit (Math II Class)
Circles Unit
Experimental Probability Unit
Compound Probability Unit
Statistics Unit
Circles (8 days)
- Students can find the circumference of a circle to solve real world problems.
- Students can find the area of a circle to solve real world problems
- Students can find the radius or diameter when given the circumference of a circle
- Students can explain the relationship between circumference and area
Experimental Probability (8 days)
- Students can explain that the probability of an event is between 0 and 1
- Students can predict the outcome of an event based on the experimental data
- Students can compare experimental and theoretical probability to explain discrepancies
Compound Probability (12 days)
- Students can use a sample space to discover probabilities of events.
- Students can find an outcome involving a compound event
- Students can create a sample space for compound events
- Students can design and perform a simulation for compound events
Statistics (15 days)
- Students can distinguish between a populations and a sample
- Population, sample, random, bias samples
- Students can make inferences and draw conclusions about a population using a random sample
- Students can compare two sets of data to determine measure of center the difference in mean absolute deviation
- Measures of center, measures of variability, box and whisker
- Students can use measure of center and variable to draw a conclusion from two given points
- Mean, median, mode, interquartile range, box and whisker plot
GCMS students have the opportunity to retake any assessment(s) to demonstrate mastery of a learning target. Students must complete all missing assignments and retake ticket prior to the retake. The teacher will notify parents through nightly email and students the date ofwhen the retake(s) assessment has been scheduled.
Page 1