Marking Period 1: Green Marking Period 2: Blue Marking Period 3: Purple Marking Period 4: Red
Unit 1 - Data Analysis
- Display numerical data in plots on a number line, including line plots, histograms, and box-and-whisker plots.
- Determine quantitative measures of center (e.g. mean, median, mode), and variability (e.g. range, interquartile range, mean absolute deviation).
- Describe any overall pattern and any deviations from the overall pattern with reference to the context of the data (e.g. left skew, right skew, outlier).
- Relate the choice of measure of center and variability to the shape of the data distribution and the context in which the data is gathered. For example, what role does an outlier or skewing play in determining the best way to measure central tendency? (e.g. mean vs. median vs. mode).
Unit 2 - Fractions and Decimals
- Interpret and compute quotients of fractions (including mixed numbers), and solve word problems involving division of fractions by fractions.
- Solve problems involving addition, subtraction, multiplication, and division with whole numbers, decimals (through thousandths), straight computation , or word problems.
- Find the greatest common factors of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12 (GCF 100 and LCM 12).
- Apply the distributive property to express a sum of two whole numbers, 1 through 100, with a common factor as a multiple of a sum of two whole numbers with no common factor (e.g. 36+8 as 4(9+2).
Unit 3 - Ratio
- Use ratio language and notation (such as 3 to 4, 3:4, 3/4 to describe a ratio relationship between two quantities.
- Construct tables of equivalent ratios relating quantities with whole-number measurements, finding missing values in the tables, and or plot the pair of values on the coordinate plane.
- Use tables to compare ratios.
Unit 4-Rates and Percents
- Find the unit rate associated with a ratio a:b (with b 0) and use rate language in the context of a ratio relationship. (e.g. 5 mph, 5miles/hour, $2/pound, and $2 per pound).
- Solve unit rate problems including those involving unit pricing and constant speed.
- Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Unit 5 - The Number System and Coordinate Geometry
- Represent quantities in real-world context using positive and negative numbers, explaining the meaning of 0 in each situation (e.g. temperature above/below zero, elevation above/below sea level, credit/debits, positive/negative electric changes).
- Determine the opposite of a number and recognize that the opposite of a number is the number itself. (e.g. -(-3)=3, o is its own opposite).
- Locate and plot integers and other rational numbers on a horizontal or vertical number line; locate and plot pairs of integers(whole numbers and their opposites) and other rational numbers (fractional numbers like p/q where q 0) on a coordinate plane.
Unit 6 - Algebraic Concepts
- Write and evaluate numerical expressions involving whole-number exponents.
- Write algebraic expressions from verbal descriptions.
- Identify parts of an expression using mathematical terms (e.g. sum, term, product, fraction, quotient, coefficient, quantity).
- Evaluate expressions as specific values of their variables, including expressions that arise from formulas used in real-world problems (e.g. let b=4, evaluate b2-5).
- Apply the properties of operations to generate equivalent expressions (e.g. 3(2 + x) =6 +3x or 24x +8y= 8(3x+y) or y+y+y=3y).
- Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
- Write algebraic expressions to represent real-world or mathematical problems.
- Solve real-world and mathematical problems by writing and solving equations of the the form x+p=q and px=q for cases in which p,q,and x are non-negative rational numbers.
- Write an inequality of the form x>c to represent a constraint or condition in a real-world or mathematical problem and/or represent solutions of such inequalities on number lines. (e.g. x>3)
- Write an equation to express the relationship between the dependent and independent variables. (e.g. s=dt, d=65t)
- Analyze the relationship between the dependent and independent variables using graphs and tables and/or relate these to an equation.
Unit 7 - Two Dimensional Geometry
- Locate and plot integers (+/- but not fractions) and other rational numbers (any fraction with non-zero denominators) on a horizontal or vertical number line.
- Locate and plot pairs of integers and other rational numbers on a coordinate plane.
- Solve real-world or mathematical problems by plotting points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
- Determine the area of triangles and special quadrilaterals (i.e. square, rectangle, parallelogram, rhombus, and trapezoid). Formulas will be provided.
- Determine the area of irregular or compound polygons. e.g.
- Given coordinates for the vertices of a polygon in the plane, use the coordinates to find side lengths and area of the polygon (limit to triangles and special quadrilaterals (parallelograms, squares, rhombus, trapezoids, rectangles). Formulas will be provided.
Unit 8 - Three Dimensional Geometry
- Determine the volume of right rectangular prisms with fractional edge lengths. Formulas will be provided. v= lwh
- Represent three-dimensional figures using nets made of rectangles and triangles (e.g. rectangular prisms, triangular prisms, cubes, triangle based pyramids, square based pyramids).
- Determine the surface area of triangular and rectangular prisms (including cubes). Formulas will be provided.