Download quarterly exam for 1 st quarter - Plainview

Plainview – Old Bethpage Central School District
Scope and Sequence
Grade 8 - Math
Throughout grade 8, students should continue to develop proficiency with the Common
Core’s eight Standards for Mathematical Practice:
1.
Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically
6. Attend to precision.
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Grade 8 Overview

The Number System (NS)
o Know that there are numbers that are not rational, and approximate them by
rational numbers.

Expressions and Equations (EE)
o Work with radicals and integer exponents
o Understand the connections between proportional relationships, lines, and
linear equations
o Analyze and solve linear equations and pairs of simultaneous linear equations.

Functions (F)
o Define, evaluate, and compare functions.
o Use functions to model relationships between quantities.

Geometry (G)
o Understand congruence and similarity using physical models, transparencies,
or geometry software.
o Understand and apply the Pythagorean Theorem
o Solve real-world and mathematical problems involving volume of cylinders,
cones and spheres.

Statistics and Probability (SP)
o Investigate patterns of association in bivariate data
Common Core Scope and Sequence
Math – Grade 8
I.
Expressions and Equations (12 – 14 days) [8.EE.7, 8.EE.8]
1. Operations with integers ( +, -, x, ÷ )
2. Order of operations
3. Simplifying algebraic expressions
a. Collect like terms
b. Use the distributive property and collect like terms
4. Solving equations
a. With variable on one side (2 days)
b. With variable on both sides
c. With no solutions and infinite solutions
d. With fractions(2 – 3 days)
5. Review
6. Test
II.
Word problems and proportional relationships (9 – 11 days) [7.EE.3]
1. Translating verbal phrases into algebraic expressions
2. Translating verbal sentences into equations and solving
3. Ratios, rates, unit rates and best buy
4. Solving proportions
5. Translating word problems into proportions and solving
6. Review
7. Test
III.
Volume (5 – 7 days) [8.G.9]
1. Know and use formulas for volume of:
a. Cones
b. Cylinders
c. Spheres
2. Review
3. Test
IV.
Functions (6 - 8 days) [8.F.1, 8.F.2, 8.F.3, 8.F.5]
1. Define: function as a rule assigning one input to exactly one output
2. Functions as a set of ordered pairs
3. Domain and Range
4. Reading and interpreting distance/time graphs
5. Describe/explain if linear functions are increasing, decreasing, or non-linear.
6. Review
7. Test
QUARTERLY EXAM FOR 1ST QUARTER
V.
The coordinate plane (11 - 13 days) [8.EE.5, 8.EE.6]
1. Practice plotting and naming points in all 4 quadrants and on the x
and y axis
2. Determine if an ordered pair is a solution to an equation
3. Graph an equation using a table of values
-
Determine if it is a linear or non-linear equation
4. Graphing linear equations using intercepts
5. Unit rate as slope
a. Find the slope of a line from a graph
b. Find the slope of a line from 2 points
6. Graphing a line using slope and 1 point
7. Identifying the slope and y-intercept from a graph
8. Identifying the slope and y-intercept from an equation
9. Graph an equation using the slope and y-intercept
(y = mx + b)
10. Transforming an equation into slope-intercept from and then
graphing
11. Review
12. Test
VI.
Writing linear equations in slope intercept form and point-slope form
(8 – 10 days) [8.EE.5, 8.EE.6, 8.F.4, 8.F.5, 8.SP.2]
1. Write equation given:
a. Slope and y-intercept
b. Slope and point that is not the y-intercept
c. Two points
d. From a table
e. From a graph
f. Applications of writing linear equations
2. Interpret the meaning of the slope and y-intercept in problem context
3. Review
4. Test
VII.
Systems (7 – 9 days) [8.EE.8]
1. Solve a system of linear equations graphically
2. Solve a system of linear equations algebraically
a. Addition/elimination method
b. Substitution method
3. Solve a system of linear equations with none or infinite solutions
4. Solve a system of linear equations from word problems
5. Review
6. Test
MIDTERM
VIII.
Transformations
(8 - 10 days)
[8.G.1, 8.G.2, 8.G.3, 8.G.4, 8.G.5]
1. Transformations
a. Reflections over a line
b. Rotation of 900 clockwise and counterclockwise and 1800
c. Translations
d. Dilations
2. Define congruence of transformations that preserve distance, angle measure
and parallels
3. Describe the effect of transformations using coordinates
4. Define similarity using dilations and AA similarity
5. Review
6. Test
IX.
Angles and special pairs of angles (6 – 8 days)
1.
[8.G.5]
Angle Measure
a. Sum of interior angles of a triangle
b. Exterior angles of a triangle
c. Inequality theorem for the sides of a triangle
d. Complementary and Supplementary angles
e. Angles formed by parallel lines cut by a transversal
1. Alternate interior angles
2. Alternate exterior angles
3. Corresponding angles
4. Vertical angles
2. Review
3. Test
X.
Statistics and Probability (7 - 9 days)
[8.SP.1, 8.SP.2, 8.SP.3, 8.SP.4]
1. Plot and interpret bivariate data
2. Describe data patterns and clusters, outliers
3. Positive and negative associations; linear/non-linear association
4. Line of best fit
5. Write equation of the line of best fit
6. Using 2 way tables to show frequencies and relative frequencies of bivariate
categorized data
7. Look for patterns of association to bivariate categorical data including
interpreting the slope and y-intercept
8. Review
9. Test
XI.
Exponents and scientific notation (10 – 12 days) [8.EE.1, 8.EE.3, 8.EE.4]
1. Laws of exponents
a. Zero and negative exponents
b. Multiplying
c. Dividing
d. Power to a power
2. Estimating using powers of 10 for very small and large quantities
3. Scientific Notation
a. Writing from standard form into scientific notation
b. Writing from scientific notation into standard form
c. Operations with scientific notation (+, -, x, ÷)
d. Interpreting scientific notation generated by technology
3rd QUARTERLY EXAM
POST ASSESSMENT UNITS
XII.
The Number System (10 – 12 days)
1. Real numbers(8.NS.1)
a. Classify: whole #’s, natural #’s, integers, rational #’s, irrational #’s
b. Converting fractions into decimals
c. Converting terminating decimals into a fraction
d. Converting repeating decimals into a fraction
e. Finding the square roots and cube roots of perfect square and cubes
respectively
2. Irrational numbers(8.NS.2)
a. Decimal approximations
b. Estimating the value of irrational numbers
c. Locating on a number line
3. Ordering real numbers on a number line
4. Know simple perfect squares and cubes (8.EE.2)
a.
Solving equations using square roots or cube roots
5. Pythagorean Theorem and its converse (8.G.6; 8.G.7; 8.G.8)
a. Finding missing sides of a right triangle
b. Real world problems in 2 and 3 dimensions using Pythagorean theorem
c. Use the Pythagorean theorem to find distance between 2 coordinate
points
6. Review
7. Test
XIII. Polynomials (10 – 12 days)
1.
Vocabulary, including
a.
terms, degree
b.
monomial, binomial, trinomial
c.
descending order
2. Adding polynomials
3. Subtracting polynomials
4. Multiplying polynomials
a. Monomial by a monomial
b. Monomial by a polynomial(distributive property)
c. Binomial by a binomial
5. Dividing polynomials by a monomial
6. Review
7. Test
XIV.
Final Exam Review and Preparation