1.5-2 weeks (This is a continuation from marking period 2)

Ratios and Proportional Relationships

Essential Question: How is percent related to fractions and decimals and why is it such a useful tool in everyday life?

What is percent?

How can you compare and convert demicals, fractions and percents?

How can you find percent of a quantity?

Percents

Customary Units of Measurement-

Metric Units of Measurement-

Scaling Up-

Scaling Down-

Capacity-

Length-

Mass/Weight-

Distance-

Rate-

Time-

Percent-

Part-

Whole-

Cross Products-

Sale Price-

Discount-

Original Price-

1. Find a percent of a quantity as a rate per 100.
   
   
2. Solve problems involving finding the whole, given a part and the percent.
   
   
3. Use ratio reasoning to convert measurement units.

https://blogs.edutech.nodak.edu/badlandsreadingcouncil/files/2012/03/math-foldables.pdf

Percent Assessment

https://docs.google.com/document/d/1jVKQQ0Sy5IS0U6PR5X5aC6DF2HqELPGUInodYut1GV0/edit?usp=sharing 

Percent Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwS2c4LVdpSVVtTDA/view?usp=sharing

End of Unit Writing Assessment: Describe a situation in which you can use rates and percents in order to spend your money wisely and get the best prices.

3 weeks

Expressions & Equations

Essential Question: How do you add, subtract, factor, and multiply algebraic expressions? How can you rewrite expressions to help you solve problems?

How does representing quantities in different ways reveal different information about the quantities?

Algebraic Expressions

numerical expression-

algebraic expression-

variable-

coefficient-

term-

like terms-

exponents-

base number-

squared-

cubed-

order of operations-

evaluate-

substitution-

equivalent expressions-

factor out-

distribute-

distributive property-

1. Find the greatest common factor of two whole numbers less than or equal
   to 100.
   
   
2. Find the least common multiple of two whole numbers less than or equal to 12.
   
   
3. Factor addition expressions using the distributive property and the GCF.
   
   
4. Write and evaluate numerical expressions involving whole-number exponent. 
5. 1. Write expressions that record operations with numbers and with letters
      standing for numbers.
      
      
   2. Indentify parts of an expression using mathematical terms(sum, term, product, factor, quotient, coefficient).
      
      
   3. Evaluate expressions at specific values of their variables, including well known formulas.
      
      
   4. Evaluate terms with whole number exponents.
      
      
   5. Use the order of operations to simplify expressions, including those with whole number exponents.
      
      
   6. Apply the distributive property to generate an algebraic expression equivalent to a given algebraic expression.
      
      
   7. Identify when two algebraic expressions are equivalent.

Factoring Using the Distributive Property ws:

https://drive.google.com/file/d/0B-JGHbDQBpQwTlRNR3l0UlZmRVU/view?usp=sharing

Topic A Quiz 

https://drive.google.com/file/d/0B1OSFxQPcmktamFzczd6VHM0SkU/view?usp=sharing

Topic D Assessment

https://docs.google.com/document/d/1vnWhfx7mKg0DHs67YlRvy-TN1fY9gFg9tOUvR7Qc-qw/edit?usp=sharing

Topic E/F Assessment

https://docs.google.com/document/d/1v-Vu4A-bQdbsrNMmsWoN_k6JZRolTis8BYiTFFlKGVE/edit?usp=sharing

Expressions Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwdm90Tm1GVDlLVFU/view?usp=sharing

2.5 weeks

Expressions & Equations

Essential Question: How do equations and inequalities help us to solve real world problems?

How do equations and inequalities describe situations?

Equations & Inequalities

equation-

inverse-

isolate-

dividend-

divisor-

quotient-

inequality-

solution set-

1. Use substitution to determine whether a given number in a specified set
   makes an equation or inequality true.
   
   
2. Use variables to represent numbers and write expressions when solving a
   real-world or mathematical problem.
   
   
3. Solve real-world and mathematical problems by writing and solving
   equations of the form x + p = q and px = q for cases in which p, q and x are
   all nonnegative rational numbers.
   
   
4. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.
   
   
5. Recognize that inequalities of the form x > c or x < c have infinitely many solutions.
   
   
6. Represent solutions of inequalities on number line diagrams.

Equations Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwSjhubzZ5SDBNWHc/view?usp=sharing

1-2 weeks

Expressions & Equations

Essential Question: How can you use relationships involving two variables to solve real world problems?

Functions

independent variable-

dependent variable-

ordered pair-

function-

1. Use variables to represent two quantities in a real-world problem that
   change in relationship to one another.
   
   
2. Write an equation to express one quantity, thought of as the dependent
   variable, in terms of the other quantity, thought of as the independent
   variable.
   
   
3. Analyze the relationship between the dependent and independent variables
   using graphs and tables.
   
   
4. Relate the properties of graphs with the structure of their corresponding equations.

2 week

Geometry

Essential Question: How can you use the areas of regular polygons to decompose irregular polygons and find their areas?

How can areas of simple shapes be used to find areas of more complex shapes?

Area & Surface Area

perimeter-

area-

formulas-

polygon-

quadrilateral-

square-

rectangle-

trapezoid-

parallelogram-

length-

width-

base-

height-

triangle-

perpendicular lines-

parallel lines-

2 dimensional-

3 dimensional-

nets-

face-

edge-

vertices-

surface area-

triangular prism-

rectangular prism-

cube-

triangular pyramid-

rectangular pyramid-

Students will be able to:

1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
   
   
2. Solve real-world problems involving finding the area of polygons.
   
   
3. Draw polygons in the coordinate plane given coordinates for the vertices.
   
   
4. Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
   
   
5. Solve real-world problems involving polygons and distance in the coordinate plane.
   
   
6. Represent three-dimensional figures using nets made up of rectangles and triangles.
   
   
7. Use nets to find the surface areas of three-dimensional figures.
   
   
8. Solve real-world problems involving the surface area of three-dimensional figures.

Geometry Vocab Notebook Page

https://drive.google.com/file/d/0B-gVAfBYX60DcE0tWWpLaUJudkk/view?usp=sharing