M06.A-N.2.1.1 - Solve problems involving operations with whole numbers, decimals (through thousandths), straight computation or word problems.
M06.A-N.1.1.1 - Interpret and compute quotients of fractions (including mixed numbers) and solve word problems involving division of fractions by fractions.
M06.A-N.2.2.1 - Find the greatest common factor 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.
Number System
M06.A-N.3.1.1 - Represent quantities in real-world contexts using positive and negative numbers, explaining the meaning of 0 in each situation.
M06.A-N.3.1.2 - Determine the opposite of a number and recognize that the opposite of the opposite of a number is the number itself.
M06.A-N.3.1.3 - Locate and plot integers and other rational numbers on horizontal or vertical number line; locate and plot pairs of integers and other rational numbers on coordinate plane.
M06.A-N.3.2.1 - Write, interpret, and explain statements of order for rational numbers in real-world contexts.
M06.A-N.3.2.2 - Interpret the absolute value of a rational number as its distance from 0 on the number line and as a magnitude for a positive and negative quantity in a real-world situation.
M06.A-N.3.2.3 - Solve real-world and 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.
Expressions
M06.B-E.1.1.1 - Write and evaluate numerical expressions involving whole-number exponents.
M06.B-E.1.1.2 - Write algebraic expressions from verbal descriptions. Example: Express the description “five less than twice a number” as 2y – 5.
M06.B-E.1.1.3 - Identify parts of an expression using mathematical terms (e.g., sum, term, product, factor, quotient, coefficient, quantity). Example: Describe the expression 2(8 + 7) as a product of two factors.
M06.B-E.1.1.4 - Evaluate expressions at specific values of their variables, including expressions that arise from formulas used in real-world problems. Example: Evaluate the expression b^2 – 5 when b = 4.
M06.B-E.1.1.5 - Apply the properties of operations to generate equivalent expressions. Example 1: Apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x. Example 2: Apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y). Example 3: Apply properties of operations to y + y + y to produce the equivalent expression 3y.
M06.B-E.2.1.2 - Write algebraic expressions to represent real-world or mathematical problems.
M06.A-N.2.2.2 - 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. Example: Express 36 + 8 as 4(9 + 2).
Equations
M06.B-E.2.1.1 - Use substitution to determine whether a given number in a specified set makes an equation or inequality true. q I can use substitution to test equations and inequalities.
M06.B-E.2.1.3 - 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 non-negative rational numbers. q I can solve one-step equations.
M06.B-E.2.1.4 - Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem and/or represent solutions of such inequalities on number lines.
Ratios, Rates, and Percents
M06.A-R.1.1.1 - Use ratio language and notation (such as 3 to 4, 3:4, ¾) to describe a ratio relationship between two quantities.
M06.A-R.1.1.2 - Find the unit rate a/b associated with a ratio a:b (with b≠0), and use rate language in the context of a ratio relationship.
M06.A-R.1.1.3 - Construct tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and/or plot the pairs of values on the coordinate plane. Use tables to compare ratios.
M06.A-R.1.1.4 - Solve unit rate problems including those involving unit pricing and constant speed.
M06.A-R.1.1.5 - 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.
Data and Statistics
M06.D-S.1.1.1 - Display numerical data in plots on a number line, including dot plots, histograms, and box-and-whisker plots.
M06.D-S.1.1.1 - Determine quantitative measures of center (e.g., median, mean, and/or mode) and variability (e.g., range, interquartile range and/or mean absolute deviation).
M06.D-S.1.1.3 - Describe any overall pattern and any deviations from the overall pattern with reference to the context in which the data were gathered.
M06.D-S.1.1.4 - Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.
Geometry
M06.C-G.1.1.1 - Determine the area of triangles and special quadrilaterals (i.e., square, rectangle, parallelogram, rhombus, and trapezoid). Formulas will be provided.
M06.C-G.1.1.2 - Determine the area of irregular or compound polygons.
M06.C-G.1.1.3 - Determine the volume of right rectangular prisms with fractional edge lengths. Formulas will be provided.
M06.C-G.1.1.4 - Given coordinates for the vertices of a polygon in the plane, use the coordinates to find side lengths and area of the polygon (limited to triangles and special quadrilaterals). Formulas will be provided.
M06.C-G.1.1.5 - Represent three-dimensional figures using nets made up of rectangles and triangles.
M06.C-G.1.1.6 - Determine the surface area of triangular and rectangular prisms (including cubes). Formulas will be provided.
I can demonstrate in-depth inferences and applications that go beyond the learning of solving equations with one, no, or infinite solutions.
I can demonstrate in-depth inferences and applications that go beyond the learning of solving equations.
Roots and Real Numbers
Math8-1 - I can demonstrate in-depth inferences and applications that go beyond the learning of rational and irrational numbers.
Math8-2 - I can demonstrate in-depth inferences and applications that go beyond the learning of repeating decimals.
Math8-3 - I can demonstrate in-depth inferences and applications that go beyond the learning of estimating irrational numbers.
Math8-4 - I can demonstrate in-depth inferences and applications that go beyond the learning of comparing and ordering rational and irrational numbers.
Math8-5 - I can demonstrate in-depth inferences and applications that go beyond the learning of rational and irrational numbers on a number line.
Math8-7 - I can demonstrate in-depth inferences and applications that go beyond the learning of square and cube roots.
Slope and Linear Equations
Math8-10 - I can demonstrate in-depth inferences and applications that go beyond the learning of graphing slope.
Math8-11 - I can demonstrate in-depth inferences and applications that go beyond the learning of comparing slopes on the same line.
Math8-12 - I can demonstrate in-depth inferences and applications that go beyond the learning of writing linear equations.
Math8-20 - I can demonstrate in-depth inferences and applications that go beyond the learning of linear functions.
System of Equations
Math8-15 - I can demonstrate in-depth inferences and applications that go beyond the learning of graphing system of equations.
Math8-16 - I can demonstrate in-depth inferences and applications that go beyond the learning of system of equations using different methods.
Math8-17 - I can demonstrate in-depth inferences and applications that go beyond the learning of system of equations in real-world problems.
Functions
Math8-18 - I can demonstrate in-depth inferences and applications that go beyond the learning of functions.
Math8-19 - I can demonstrate in-depth inferences and applications that go beyond the learning of comparing functions.
Math8-21 - I can demonstrate in-depth inferences and applications that go beyond the learning of constructing a function model.
Math8-22 - I can demonstrate in-depth inferences and applications that go beyond the learning of analyzing a graph.
Bivariate Data
Math8-31 - I can demonstrate in-depth inferences and applications that go beyond the learning of scatter plots.
Math8-32 - I can demonstrate in-depth inferences and applications that go beyond the learning of line of best fit.
Math8-33 - I can demonstrate in-depth inferences and applications that go beyond the learning of linear equations as line of best fit.
Math8-34 - I can demonstrate in-depth inferences and applications that go beyond the learning of two-way tables.
Pythagorean Theorem and Volume
Math8-23 - I can demonstrate in-depth inferences and applications that go beyond the learning of volume of cones, cylinders, and spheres.
Math8-28 - I can demonstrate in-depth inferences and applications that go beyond the learning of converse of Pythagorean theorem.
Math8-29 - I can demonstrate in-depth inferences and applications that go beyond the learning of Pythagorean theorem.
Math8-30 - I can demonstrate in-depth inferences and applications that go beyond the learning of Pythagorean theorem on graphs.
Exponent Rules and Scientific Notation
Math8-6 - I can demonstrate in-depth inferences and applications that go beyond the learning of simplifying exponential expressions.
Math8-8 - I can demonstrate in-depth inferences and applications that go beyond the learning of scientific notation.
Math8-9 - I can demonstrate in-depth inferences and applications that go beyond the learning of performing operations with scientific notation.
